Please hel 15 points!

Please Hel 15 Points!

Answers

Answer 1

parent graph: f(x) = |x|

shifted 6 units down: f(x) = |x| - 6

then shifted 4 units to the right: f(x) = |x - 4| - 6

then vertically stretched by 2: f(x) = 2|x - 4| - 6

This means the vertex (0, 0) has moved to (4, -6) and the slope is 2

**************************************************************************************

   f(x) = |x|                                      f(x) = 2|x - 4| - 6

   x     y                                         x                              y          new coordinate

   -2    2                               -2 + 4 = 2           2(2) - 6 = -2                   (2, -2)

   -1     1                                -1 + 4  = 3           1(2) - 6 = -4                    (3, -4)

   0     0    vertex                0 + 4  = 4           0(2) - 6 = -6  vertex       (4, -6)

    1     1                                 1 + 4  = 5           1(2) - 6 = -4                    (5, -4)

    2    2                                2 + 4 = 6           2(2) - 6 = -2                   (6, -2)

Plot the NEW COORDINATES for the transformed graph.


Related Questions

Randy is checking to determine if the expressions 2x+2+4x and 2(3x+1) are equivalent. When x=3, he correctly finds that both expressions have a value of 20. When x=2, he correctly evaluates the first expression to find that 2x+2+4x=14.What is the value of the second expression when x=2 and are the two expressions equivalent?A. The value of the second expression is 7, so the expressions are not equivalent.B. The value of the second expression is 12, so the expressions are not equivalent.C. The value of the second expression is 14, so the expressions are equivalent.D. The value of the second expression is 20, so the expressions are equivalent.

Answers

the answer shd be c.

Answer: c. ;]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]


can you help me find length bc please!!!!

Answers

Remark

You are dealing with a right angle triangle. You can use one of Sin(x) Cos(x) or Tan(x). Since the Hypotenuse is involved and since you are given the adjacent side, Cos(71) is what you will need.

Solution

H = BC

Cos(x) = adjactent / hypotenuse

Cos(71) = 6.3 / H            Multiply both sides by H

H * Cos(71) = 6.3            Divide by Cos(71)

H = 6.3 / cos(71)             Cos(71) = 0.32557

H = 6.3 / 0.32557          Divide

H = BC = 19.351                       Answer

The weight of a body varies inversely as the square of its distance from the center of the earth. If the radius of the earth is 3500 miles, how much would a 180-pound man weigh 750 miles above the surface of the earth?

Answers

The weight of the body when the distance is 750 miles if it is inversely proportional is 3,920 pounds.

How much would a 180-pound man weigh 750 miles above the surface of the earth?

w = k/d²

Where,

k = constant of proportionality

w = 180 pound

d = 3,500 miles

w = k/d²

180 = k/3500²

180 = k/12,250,000

cross product

k = 180 × 12,250,000

k = 2,205,000,000

Therefore, when d = 750 miles

w = k/d²

w = 2,205,000,000 / 750²

= 2,205,000,000 / 562,500

= 3,920 pounds

Hence, the weight of the body is 3,920 pounds.

Read more on variation:

https://brainly.com/question/6499629

#SPJ3

How can u divide whole numbers and decimals?

Answers

for example:

2-1.22

2.00
- 1.22
_____
0.78

Leeza did this to solve an equation. Did she makes an error 4x=7+3(2x-5) 4x=7+6x-5

Answers

Yes, there was a mistake in applying the distributive property. If you have to perform

[tex] 3(2x-5) [/tex]

you have to multiply both terms in the parenthesis by 3, not just the first one.

So, the correct expansion would be

[tex] 3(2x-5) = 3\cdot 2x - 3 \cdot (-5) = 6x-15 [/tex]

Leeza made an error she did not multiply 3 into the bracket correctly. Therefore, the solution to an equation is 4.

What is an equation?

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

The given equation is 4x=7+3(2x-5).

The solution of an equation is the set of all values that, when substituted for unknowns, make an equation true.

Now, 4x=7+6x-15

4x=6x-8

4x-6x= -8

-2x=-8

x=4

Leeza made an error she did not multiply 3 into the bracket correctly. Therefore, the solution to an equation is 4.

To learn more about the solution of an equation visit:

https://brainly.com/question/14506845.

#SPJ5

what is the domain of range of y=4(1/3)^x

Answers

Answer:

Domain = R

Range =(0,infinity)

Step-by-step explanation:

Given a function as

y = 4(1/3)^x

The function does not have x or y in the denominator or any square root sign.

Hence we can assign any values to x.

Domain = R = Set of all real numbers = (-infinity, infinity)

Let us consider range.

We find that 4(1/3)^x is a multiple of 4 and powers of 1/3

Since power of 1/3 is always positive, y cannot take any negative value.

When x=0 y =4.

When x tends to -infinity, y tends to 0

So y cannot take the value 0 except at -infinity.

Range =(0,infinity)

Matrix M shows the one-way fares for four commuter train routes. If the rail service raised fares by 12% on all routes and days, which formula shows how to find the matrix that would display the new fares?


A) 0.12M

B) M + 0.12

C) M + 0.12M

D) 1 + 0.12M

Answers

Answer:

C) M + 0.12M

Step-by-step explanation:

A — calculates the raise, not the new fare

B — adds 12¢ to every fare

C — adds 12% of the current fare to the current fare. This is what you want.

D — adds $1 to the amount of the raise. This is not the amount of the new fare.

Answer: C) [tex]M+0.12M[/tex]

Step-by-step explanation:

Given : Matrix M shows the one-way fares for four commuter train routes.

If the rail service raised fares by 12% on all routes and days.

Then, the proportion of service raised fares on all routes and days. =0.12

Then, the new fares is given by :-

[tex]M+0.12M[/tex]

Hence, the formula shows how to find the matrix that would display the new fares = [tex]M+0.12M[/tex]

help!! what is 4 3/4 divided by 2 3/4?

Answers

i THINK its 2 1/2 ?????

and I think it can be 19/11

A recipe calls for 2 cups of flour and 1 cup sugar and half cup butter how many cups of flour are needed to mix with each cup of butter

Answers

answer is equal to2:1/2=4:1

4 cups are required

Final answer:

For every cup of butter in the recipe, 4 cups of flour are needed. This is found by analyzing the ratio of flour to butter given in the recipe, which is 2 cups flour to 0.5 cup butter.

Explanation:

The question asks how many cups of flour are needed to mix with each cup of butter according to a given recipe. To determine this, we look at the provided ratios and find that the recipe calls for 2 cups of flour and 0.5 cup of butter. This results in the ratio of 4 cups of flour for every 1 cup of butter.

To calculate the amount of flour required for each cup of butter, we use a simple proportion:

0.5 cup butter : 2 cups flour
1 cup butter : x cups flour

To solve for x (the amount of flour needed for 1 cup of butter), we cross-multiply and get:

0.5x = 2
x = 2 / 0.5
x = 4

So, for every cup of butter, 4 cups of flour are needed.

The graph represents the cost of a subscription to a newspaper.

What is the constant of variation for the subscription cost based on the number of weeks?
A. $1.50
B. $7.50
C. $15.00
D. $30.00

Answers

B. is the answergghhjj
ANSWER

The constant of variation is $
[tex]7.50[/tex]


EXPLANATION

The constant of variation is the slope of the straight line in the given graph.

The straight line passes through the point

[tex](4,30),(8,60),(12,90)[/tex]


We can use any two of these points to find the slope of this line using the formula,



[tex]slope = \frac{y_2-y_1}{x_2-x_1}[/tex]


We use

[tex](4,30) \: and \: (8,60)[/tex]

[tex]slope = \frac{60 - 30}{8 - 4} [/tex]

[tex]slope = \frac{30}{ 4} [/tex]

We simplify this to obtain,

[tex]slope = 7.5[/tex]


Therefore, the constant of variation is $7.5.


The correct answer is B.

Kim had some candy to give to her four children she fist took two pieces for herself and then evenly divided the rest among her children. Each child received four pieces. With how many pieces did she start?

Answers

18 pieces is the number she started with

Write the prime factorization of 675 using exponent

Answers

675 : 5 = 135

135 : 5 = 27

27 : 3 = 9

9 : 3 = 3

3 : 3 = 1

675 = 5 · 5 · 3 · 3 · 3 = 5² · 3³

simplify 9i(2+3i)

Show work

Simplify the expression
(-5+2i)(3-4i)
Show work
Simplify 4i|-28|

Answers

simplify 9i(2+3i):
9i×2=18i
9i×3i=27i

18i+27i

Answer:

9i(2+3i) = -27+18i

Step-by-step explanation:

Distribute to get → 9i·2+9i(3i)

Multiply 2 and 9 → 18i+9i(3i)

Simplify → 18i+27i²

Simplify → 18i-27

Reorder → -27+18i

Solve the following equation. Then place the correct number in the box provided. 6x - 8 = 16

Answers

6x-8=16
6x-8+8=16+8
6x=24
6x=24
— —
6 6
X= 4

ANSWER

[tex]x=4[/tex]


EXPLANATION


We have[tex]6x-8=16[/tex]


We add 8 to both sides of the equation


[tex]6x-8+8=16+8[/tex]


We simplify


[tex]6x=24[/tex]



We divide both sides by 6

[tex]x=\frac{24}{6}[/tex]


[tex]x=4[/tex]





Which formula can be used to determine the number of different 8-letter arrangements using the letters of the word UNIVERSE?
A.
8!
B.
8P2
C.
8!/2!
D.
8!•2!

Answers

this is answer is (D)

Evaluate 2d+
+32, d, plus, 3 when d=8=d equals, 8.

Answers

2(8)+32(8)
= 16+256
= 272

The value of the expression 2d + 32 is 48 when d equals 8.

The student has provided an expression 2d + 32 and the value for d is given as 8. In order to evaluate the expression, we simply need to substitute the value of d into the expression.

Evaluating the expression:
2d + 32
= 2(8) + 32
= 16 + 32
= 48.

So, the value of the expression when d = 8 is 48.

simplify: 3 times the square root of 5 - 2 times the square root of 7 + the square root of 45 - the square root of 28

2 times the square root of 12
2 times the square root of 2
six times the square root of 5 - four times the square root of 7
six times the square root of 10 - four times the square root of 14

Answers

6 on the sq rt 5 - 4 on the sq rt 7

To simplify the given expression, substitute the values of each square root and simplify the expression to get the final result of 1.416.

To simplify the given expression:
3 times the square root of 5 - 2 times the square root of 7 + the square root of 45 - the square root of 28

We can simplify each square root separately:

√5 = 2.236 (approx.)

√7 = 2.646 (approx.)

√45 = 6.708 (approx.)

√28 = 5.292 (approx.)

Substituting these values in the expression:

3(2.236) - 2(2.646) + 6.708 - 5.292

This simplifies to:
6.708 - 5.292 = 1.416

Therefore, the simplified expression is 1.416.

Learn more about Simplifying square roots here:

https://brainly.com/question/13446308

#SPJ12

The table shows partial results of a survey about students who speak foreign languages.

Choose only one option

What is the relative frequency of girls who speak German to the total number of students who speak German?

A) 31%
B) 36%
C) 40%
D) 77%

Answers

Oh this is easy.I completed the table. C) 40%

THE ANSWER IS C (◡ ‿ ◡ ✿)

How many solutions are there for the system of equations shown on the graph?
A coordinate plane is shown with two lines graphed. One line crosses the y axis at 3 and has a slope of negative 1. The other line crosses the y axis at 3 and has a slope of two thirds.

Answers

Answer:

Only one solution

Step-by-step explanation:

Given that there is a coordinate plane (say xy)

Two lines are given.

One line crosses the y axis at 3 and has a slope of negative 1.

hence equation of I line is y = -x+3

The other line crosses the y axis at 3 and has a slope of two thirds.

So equation is y = 2x/3 +3

Since the two lines lie in the same plane and are having different slopes, they intersect at one point.

Eliminate y to get

-x+3=2x/3+3

Or x=0

y=3

Hence solutionis (0,3) for the system.


Answer:

One solution

Step-by-step explanation:

we know that

The solution of the system of equations  is equal to the intersection point both graphs

we have

[tex]y=-x+3[/tex] ------> equation A

[tex]y=-(2/3)x+3[/tex] ------> equation B

Using a graphing tool

see the attached figure to better understand the problem

In this problem the intersection point is only one

therefore

The system of equations has one solution

The solution is the point [tex](0,3)[/tex]


6. Which type of angle pair are LSM and OSN?

A. Adjacent angles
B. Linear pair
C. Complementary angles
D. Vertical angles

7. Which of the following statements are false?

A. LSM and MSN are adjacent angles
B. LSM and MSN form a linear pair of angles
C. LSM and MSN are vertical angles
D. M
8. Which angle is supplementary to LSM?

A. OSN
B. SLM
C. LMS
D. MSN

Answers

6. vertical

7. LSM and MSN are vertical angles

8. MSN

Answer:

6. Which type of angle pair are LSM and OSN?

Answer - D. Vertical angles

Vertical angles are pairs of opposite angles made by two intersecting lines.

7. Which of the following statements are false?

Answer - C. LSM and MSN are vertical angles.

Vertical angles are pairs of opposite angles made by two intersecting lines.

8. Which angle is supplementary to LSM?

Answer - D. MSN

Two angles are supplementary when they add up to become 180 degrees.

Here adding both we will get angle S as 180 degrees.

Avery predicts that the number of horses, HHH, on her farm ttt years from now will be modeled by the function H(t)=25(2)^tH(t)=25(2) t H, left parenthesis, t, right parenthesis, equals, 25, left parenthesis, 2, right parenthesis, start superscript, t, end superscript, and that the amount of hay, AAA, in tons, that she produces on her farm ttt years from now will be modeled by the function A(t)=150(1.5)^tA(t)=150(1.5) t A, left parenthesis, t, right parenthesis, equals, 150, left parenthesis, 1, point, 5, right parenthesis, start superscript, t, end superscript. Let FFF be the predicted yearly supply of hay, in tons, available to each horse in Avery's farm ttt years from now. Note that the hay produced on Avery's farm is used exclusively to feed her horses. Write a formula for F(t)F(t)F, left parenthesis, t, right parenthesis in terms of H(t)H(t)H, left parenthesis, t, right parenthesis and A(t)A(t)A, left parenthesis, t, right parenthesis.

Answers

Number of Horses in Avery's farm, after t years from now is given by function H(t); where  [tex]H(t) = 25(2)^{t}[/tex]

The amount of hay, in tons, that is produced on her farm t years from now is given by function A(t); where  [tex]A(t) = 150(1.5)^{t}[/tex]

The predicted yearly supply of hay, in tons, available to each horse in Avery's farm t years from now is given by function F(t); where F(t) = A(t)/H(t)

So, F(t) = [tex]\frac{150(1.5)^{t}}{25(2)^{t}}[/tex] = [tex]6 (\frac{1.5}{2}) ^{t}[/tex] = [tex]6 (0.75)^{t}[/tex] tons/horse

Final answer:

The formula for F(t) in terms of H(t) and A(t) is F(t) = (150(1.5)^t) / (25(2)^t).

Explanation:

To find the formula for F(t), we need to divide the amount of hay produced, A(t), by the number of horses, H(t). So, the formula for F(t) is F(t) = A(t) / H(t). Substituting the given functions, we have F(t) = (150(1.5)^t) / (25(2)^t).

Learn more about Writing a formula for F(t) in terms of H(t) and A(t) here:

https://brainly.com/question/33937440

#SPJ3

Emerson runs 2 miles to her friend's house and 2 miles back to her house 5 times each month. How many miles does she run?

Answers

2*2*5= 20

She runs 20 miles each month

How much money should be deposited today in an account that earns 7% compounded semiannually so that it will accumulate to $12,000 in four years?

Answers

Given rate is = 7% or 0.07

Total amount needed = $12000

Time = 4 years

Here, the  deposit is  compounded semiannually, means twice per year and this gives 8 annual compounding periods in 4 years.

The equation becomes:

P= [tex]\frac{12000}{(1+\frac{0.07}{2})^{2.4}}[/tex]

P = [tex]\frac{12000}{1.035^{8}}[/tex]

Solving it, we get P = $ 9112.93

Hence $9112.93 should be deposited today.



Final answer:

To accumulate $12,000 in four years in an account earning 7% compounded semiannually, approximately $8,289.64 should be deposited today.

Explanation:

To find out how much money should be deposited today in an account that earns 7% compounded semiannually to accumulate to $12,000 in four years, we can use the formula for calculating compound interest:

A = P(1 + r/n)^(nt)

Where A is the final amount, P is the principal (initial deposit), r is the annual interest rate, n is the number of times the interest is compounded per year, and t is the number of years.

Let's substitute the given values into the formula: A = 12,000, r = 7%, n = 2 (compounded semiannually), and t = 4.Now, we can solve for P: 12,000 = P(1 + 0.07/2)^(2*4)By simplifying the equation, we get: 12,000 = P(1.035)^8Divide both sides of the equation by (1.035)^8: P = 12,000 / (1.035)^8 = 8,289.64

Hence, approximately $8,289.64 should be deposited today in the account.

Learn more about compound interest here:

https://brainly.com/question/14295570

#SPJ3

A line that includes the point ( - 4, - 1) has a slope of - 2. What is its equation in point-slope form?

Answers

Point slope form says the line through (a,b) with slope m is

y - b = m(x - a)

Here that's

y - - 1 = -2(x - -4)

Answer: y + 1 = -2(x + 4)



Point-Slope equation: y - y₁ = m(x - x₁)  ; m is slope and (x₁ ,y₁) is the coordinate

y - (-1) = -2(x - (-4)

y + 1 = -2(x + 4)     simplified (two negatives make a positive)


Mr. Fink's economy car can travel 420 miles on a 12 gallon tank of gas. How many miles can he travel on 8 gallons?

Answers

ratios
12 gallons : 420 miles
÷ 3
4 gallons : 140 miles
× 2
8 gallons : 280 miles

Distance covered in 12 gallons tank of gas = 420 miles

So, distance covered in 1 gallon tank of gas = [tex]\frac{420}{12}[/tex] miles

Now, distance covered in 8 gallons will be =

[tex]8*\frac{420}{12}[/tex] =280 miles

Hence, distance covered by Mr.Fink's economy car in 8 gallons tank of gas is 280 miles.

What is each number in scientific notation?
0.00000000005
show how you got your answer

Answers

NAMASTE :)

0.00000000005

= 5 × [tex] {10}^{ - 11} [/tex]

Count the Digits after decimal.
We use minus (-) in power as the digit is in left side of decimal

If they are in right side then we use (+) plus sign in power.

Solve for x. Enter your answer in the box.

Answers

The sum of the measures of the angles of a hexagon is equal 720°.

Therefore we have the equation:

[tex]160^o+75^o+132^o+113^o+108^o+x^o=720^o\\\\588^o+x^o=720^o\ \ \ \ |-588^o\\\\x^o=132^o[/tex]

Answer: x = 132

The scatter plot shows the number of hats and scarves each knitter sold at a knitting show.

A. 6

B. 5

C. 3

D. 1

Answers

Answer:

Option B) 5    

Step-by-step explanation:

We are given the following information:

A scatter plot is given which shows the number of hats and scarves each knitter sold at a knitting show.

In the scatter plot the x-axis shows the number of hats sold and the y-axis shows the number of scarves sold.

We have to find the number of hats sold by the knitter when he sold 8 scarves.

In order to find this we have to find the x-values corresponding to the y-values of 8 scarves in the scatter plot.

Corresponding to 8 on y-axis we have a point that have a corresponding value of 5.

Hence, 5 hats were sold by the knitter when he sold 8 scarves.

Option B) 5 is the correct answer.

The scatter plot that shows the number of hats and scarves each knitter sold at a knitting show is Option B) 5    

What is the scatter plot

To find the number of hats sold when 8 scarves were sold, you can look at the scatter plot and observe that there is a data point on the plot where the y-value (number of scarves) is 8, and the corresponding x-value (number of hats) is 5.

In the scatter plot the x-axis shows the number of hats sold and the y-axis shows the number of scarves sold. In order to find this we have to find the x-values corresponding to the y-values of 8 scarves in the scatter plot.

Hence, 5 hats were sold by the knitter when he sold 8 scarves.

Learn more about scatter plot  from

https://brainly.com/question/29785227

#SPJ4

Paul's mp3 player has a total of 852 songs. He has 4 different groups of songs. If he puts an equal number of songs in each group,how many songs will be in each group?

Answers

Answer:  

There will be 213 songs in each group.

Step-by-step explanation:

Suppose, the number of songs in each group is  [tex]x[/tex]

As he has 4 different groups of songs, so the total number of songs in all 4 groups will be:  [tex](4*x)= 4x[/tex]

Given that, the mp3 player has a total of 852 songs. So, the equation will be........

[tex]4x=852\\ \\ x=\frac{852}{4}=213[/tex]

So, there will be 213 songs in each group.

Find the interval(s) over which the function is increasing

Answers

Answer : (-∞,-1) U  (-1, 1)

We need to find  the interval(s) over which the function is increasing

We look at the intervals of x  where the graph is increasing

Increasing interval of the graph is the part where the graph goes up.

At first  the graph starts increasing and it increases till x=-1

So the first increasing interval is -infinity to -1 . We write it as (-∞,1)

Now, we look at the part where the graph changes direction

In the middle  inverted U shaped graph , the graph starts increasing at x=-1  and increases till it changes direction. The graph is increasing till x=1

so second increasing interval is x=-1  to 1. we write it as (-1,1)

Now combine both intervals by a 'U' union

(-∞,-1) U  (-1, 1)

The  interval(s) over which the function that is increasing is  (-∞,-1) U  (-1, 1)

What is the interval

From the question, One need to find  the interval(s) over which the function is increasing

Since intervals of x  where the graph is increasing Increasing interval of the graph is the part where the graph goes up.

At first  the graph starts increasing and it increases till x=-1, So the first increasing interval is -infinity to -1 . We write it as (-∞,1). So, one look at the part where the graph changes direction

In the middle  inverted U shaped graph , the graph starts increasing at x=-1  and increases till it changes direction. The graph is increasing till x=1

Since the  increasing interval is x=-1  to 1. one then need to write it as (-1,1)

So, The function is increasing for all values of x in the open interval from negative infinity to negative 1, excluding -1, and also in the open interval from -1 to 1, excluding both -1 and 1."

Learn more about interval from

https://brainly.com/question/5661267

#SPJ4

Other Questions
Solve for e.9 e - 7 = 7 e-11 Es dudo que Los trataminetos tradicionales __ los pacientes con efectividad Valerie designed and conducted an experiment on pothos plants, which are common houseplants. Her hypothesis is that the direction of light will affect the growth pattern of a pothos plant. To test the hypothesis, she sets up two test groups of pothos plants and observes them three weeks later. The table summarizes the test groups and observations. Test GroupGrowth ConditionsObservations 1Light source is only on the side of the plantStems and leaves are bent toward the light 2Light source comes from all directionsStems and leaves are not bent What are the roles of the two test groups in this investigation? Distinguish between primary and secondary succession. ?Qu se come en Espa?a mientras se pasa el tiempo hablando con los amigos? Question 10 (2 points) Question 10 UnsavedAuthors can also introduce and develop characters by telling the reader directly what a character's traits are. This is known as direct characterization. Question 10 options:TrueFalseQuestion 11 (2 points) Question 11 UnsavedWhich example of dialogue is punctuated correctly? Question 11 options:" Remember look both ways before you cross a street. ""Remember, look both ways before you cross a street". "Remember, look both ways before you cross a street." Question 12 (2 points) Question 12 UnsavedWhich example of dialogue is punctuated correctly? Question 12 options:"Do you remember how to figure out the area of a parallelogram? I'm having trouble doing it." "Do you remember how to figure out the area of a parallelogram?" "I'm having trouble doing it." "Do you remember how to figure out the area of a parallelogram, I'm having trouble doing it." Question 13 (2 points) Question 13 UnsavedWhich example of dialogue is punctuated correctly? Question 13 options:"Make sure you put the turkey in the oven at noon, Mildred said.""Make sure you put the turkey in the oven at noon" said Mildred. "Make sure you put the turkey in the oven at noon," Mildred said. Question 14 (3.5 points) Question 14 UnsavedWhen you are writing dialogue, every time the speaker changes you need to...Question 14 options:skip lines indentbegin a new paragraph Question 15 (2 points) Question 15 UnsavedChoose the sentence with the correct comma placement.Question 15 options:The Cubs my dad's favorite ball club finished in last place again.The Cubs my dad's favorite ball club, finished in last place again.The Cubs, my dad's favorite ball club, finished in last place again.The Cubs, my dad's favorite ball club finished in last place again.Question 16 (2 points) Question 16 UnsavedWhere should a comma be placed to join the independent clauses into a compound sentence?I really like chocolate cake but strawberry cake is my favorite.Question 16 options:before butafter butQuestion 17 (2 points) Question 17 UnsavedChoose the sentence with correct comma placement for dialogue.Question 17 options:"It seems to me" mused Shawn, "that those policies are confusing.""It seems to me", mused Shawn, "that those policies are confusing.""It seems to me," mused Shawn, "that those policies are confusing.""It seems to me," mused Shawn "that those policies are confusing."Question 18 (2 points) Question 18 UnsavedWhere should a comma be placed in the following sentence?Whenever storms have high winds we lose power.Question 18 options:after wheneverafter highafter windsno comma necessary please help? :) thanks What is the solution set of the equation using the quadratic formula: x^2+2x+5=0 Which statement about scientific consensus is true?A. It represents the beliefs of most scientists.B. It is the only way to prove a theory true.C. It is necessary to form a hypothesis.D. It is an assurance that the interpretations of a study are correct.E. It is necessary before research can be published in a science journal. What are some common features in prokaryotic and eukaryotic A roller coaster car rapidly picks up speed as it rolls doen a slope. As it starts down the slope, it's speed is 4m/s. But 3 seconds later, at the bottom of the slope, it's speed is 22m/s. What is its average acceleration? When President George W. Bush recognized the independence of Kosovo, he was exercising the power of the president to recognize the ______________. What occurs to equilibrium price as the supply curve shifts to the right while the demand curve remains stagnate? Someone give a 100ml of a certain liquid that weighs 20g, could that be water? Solve each system by substitution. Show ALL work!!!! 1) y=2x-1 6x-3y=7Solution: Work: In this poem, Bradstreet first narrates an incident and then moved on to draw conclusions from it. What do you think is the turning point of the poem? Name two points on a line that has a slope of 5/8 Which statement about personal letters is MOST accurate?A.Personal letters are primary source documents that may include both explicit and implicit information.B.Personal letters are secondary source documents that provide a unique insight into a moment in history.C.Personal letters are unbiased, objective accounts of historical events affecting individuals.D.Personal letters provide a wide view of a particular time and place and the events happening there. Determine the strongest classification for quadrilateral ABCD with vertices at A(1, 2), B(3, 5), C(5, 3), and D(2, 1). The quadrilateral is a because . Why was agriculture important to the ancient Egyptians? A. The majority of the people supported themselves through farming. B. Farmers worked their land from July to April in ancient Egypt. C. The ancient Egyptian diet consisted of only fruits and vegetables. D. Eating meat products was considered unhealthy for the body.