Mathematics High School

the function f(x)=2^x and g(x)=f(x)+k. if k=2, what can be concluded about the graph?

the graph of g(x) is shifted vertically...

2 units to the left of the graph of f(x)...

Answers

Answer 1
Translations are transformations that change the position of the graph of a function. The general shape of the graph of a function is moved up, down, to the right or to the left. The translations are considered rigid transformations.
 Suppose that k> 0
 To graph y = f (x) + k, move the graph of k units up.
 To graph y = f (x) -k, move the graph of k units down.
 We have then:
 f (x) = 2 ^ x
 g (x) = f (x) + k
 if k = 2
 then,
 the graph of g (x) is shifted vertically 2 units up

 Answer:
 the graph of g (x) is shifted vertically 2 units up
Answer 2

Answer:

Its shifted verticlly 2 and to the left 2.

Step-by-step explanation:

Its verticlly because when it says 2^x its going up if it said -2^x it would go down.

It goes left because it is 2^x=? so if you put it on  the other side its negative which makes it to the left.

Related Questions

Suppose a sheet of 100 stamps is 0.77 millimeters thick. If a stack of sheets contains 100,000 stamps, how many millimeters thick is the stack? Write the answer in scientific notation.
7.7 × 104 mm
0.77 × 103 mm
7.7 × 102 mm
77.0 × 101 mm

Answers

Final answer:

To find the thickness of the stack, multiply the thickness of a single sheet by the number of sheets. So, 0.77 mm times 1,000 equals 770 mm. In scientific notation, this is 7.7 × 10² mm.

Explanation:

To find out how many millimeters thick the stack is, you need to multiply the thickness of a single sheet of stamps by the number of sheets in the stack. In this case, the thickness of a single sheet is 0.77 millimeters, and there are 1,000 sheets in the stack (since 100,000 stamps divided by 100 stamps per sheet is 1,000).

To represent the thickness of the stack in scientific notation, you would multiply the thickness of a single sheet (0.77) by the number of sheets in the stack (1,000). Multiplying 0.77 by 1,000 gives you 770. To represent this in scientific notation, you would break it down into a number between 1 and 10 multiplied by a power of 10. So, the thickness of the stack is 7.7 × 10² mm.

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Rob and john share money in a ratio of 9:4. How much of the £39000 does john get ?

Answers

[tex]\bf \cfrac{Rob}{John}\qquad 9:4\qquad \cfrac{9}{4}\qquad \cfrac{9\cdot \frac{39000}{9+4}}{4\cdot \frac{39000}{9+4}}\implies \cfrac{9\cdot 3000}{4\cdot 3000}[/tex]

Determine the measures of the angles of triangle DEF if the measures are in the ratio 1:1:16

Answers

the sum of all interior angles in a triangle is 180°, now, if we split that in (1+1+16) even pieces, that'd be 180 ÷ 18.

and then we give the ratio of 1, one of those pieces, the other ratio of 1, the same, and the ratio of 16, sixteen of those pieces.

[tex]\bf 1:1:16\qquad \cfrac{180}{1+1+16}\implies \cfrac{180}{18}\implies 10\quad \qquad \stackrel{1}{10}~:~\stackrel{1}{10}~:~\stackrel{16}{160}[/tex]

Final answer:

The angles of triangle DEF with the ratio 1:1:16 are 10 degrees, 10 degrees, and 160 degrees, using the property that the sum of interior angles in a triangle is 180 degrees.

Explanation:

To determine the measures of the angles of triangle DEF with the ratio 1:1:16, we utilize the property that the sum of the interior angles of any triangle is always 180 degrees. We can represent the measures of the angles as follows: let the first angle be x, the second angle be x, and the third angle be 16x. Since the sum of angles in a triangle is 180 degrees, we can write the equation:

x + x + 16x = 180

Simplifying the left side of the equation, we get:

18x = 180

Dividing both sides by 18 gives us:

x = 10

Therefore, the measures of the angles are 10 degrees, 10 degrees, and 160 degrees.

Corollary: At least two angles of a triangle are acute. In this case, the two angles with the ratio 1:1 are both acute since they measure 10 degrees each, which is less than 90 degrees.

What is the y-intercept of the line perpendicular to y= -5/2x + 4/5 including point (-3,-1) ?

Answers

Perpendicular lines refers to a pair of straight lines that intercept each other. The slopes of this lines are opposite reciprocal, meaning that it's multiplication is -1.

On this case they give you the equation of a line and a point, and is asked to find the y-intercept of the line that is perpendicular to the given one, and that passes through the given point.

The slope of the given line is -5/2, which means that the slope of a line perpendicular to this one, needs to be 2/5. Now you need to find the value of b or the y-intercept by substituting the given point into the formula y=mx+b, where letter m represents the slope.

 y=mx+b                Substitute the values of the given point and the slope
-1=-3(2/5)+b          Combine like terms
-1=-6/5+b               Add 6/5 in both sides to isolate b
1/5=b
The equation of the line perpendicular to y=-5/2x+4/5 and that passes through the point (-3,-1) is y=2/5x+1/5, and the y-intercept is 1/5 or 0.2.

32 = 4m + 8 solve each equation

Answers

Hey there! :D

32= 4m+8

Subtract 8 on both sides. 

24=4m

Divide 4 on both sides.

m=6

I hope this helps!
~kaikers
4m + 8 = 32.

Subtract 8 from each side.

4m + 8 (-8) = 32 - 8.

Solve.
4m = 24.

Divide each side by 4.
m = 6.

Hope it helps! :)

Use a property of equality to solve this equation: 4.5x = 18 (never mind i figured out the answer.)

Answers

To solve this equality we are going to use the division property of equality, which says that you can divide both sides of the equality by the same number; notice that the number in question cannot be zero since you cannot divide by zero. In our case we are going to divide both sides by 4.5 to get rid of the 4.5 that is multiplying [tex]x[/tex]:
[tex]4.5x=18[/tex]
[tex] \frac{4.5x}{4.5} = \frac{18}{4.5} [/tex]
[tex]x= \frac{18}{4.5} [/tex]
[tex]x=4[/tex]

The solution to the equation 4.5x = 18 is x = 4.

We have,

To solve the equation 4.5x = 18, we can use the property of equality which states that if two quantities are equal, then multiplying or dividing both sides by the same non-zero number will still yield an equal equation.

In this case,

We want to isolate x, so we need to get rid of the coefficient 4.5.

To do this, we can divide both sides of the equation by 4.5:

(4.5x) / 4.5 = 18 / 4.5

Simplifying, we have:

x = 4

Therefore,

The solution to the equation 4.5x = 18 is x = 4.

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Please help asap. Super appreciated! <3

Answers

A will be your answer!

The ancient Babylonians developed a method for calculating nonperfect squares by 1700 BCE. Complete the statements to demonstrate how to use this method to find the approximate value of . In order to determine , let G1 = 2, a number whose square is close to 5. 5 ÷ G1 = , which is not equal to G1, so further action is necessary. Average 2 and G1 to find G2 = 2.25. 5 ÷ G2 ≈ (rounded to the nearest thousandth), which is not equal to G2, so further action is necessary. Average 2.25 and G2 to find G3 = 2.236. 5 ÷ G3 ≈ (rounded to the nearest thousandth), which is equal to G3. That means is approximately 2.236.

Answers

... find the approximate value of √5. In order to determine √5, let ...

5 ÷ G1 = 2.5
5 ÷ G2 = 2.222
5 ÷ G3 = 2.236

That means √5 is approximately 2.236.

Using the Babylonian method, [tex]\( \sqrt{5} = 2.236}[/tex]. This method involves iteratively averaging and recalculating until the calculated value stabilizes to the desired accuracy.

To demonstrate the Babylonian method for finding the approximate value of [tex]\( \sqrt{5} \)[/tex]

A. In order to determine [tex]\( \sqrt{5} \)[/tex], let [tex]\( G_1 = 2 \)[/tex], a number whose square is close to [tex]5.[/tex]

B. Calculate [tex]\( \frac{5}{G_1} = \frac{5}{2} = 2.5 \)[/tex], which is not equal to [tex]\( G_1 \)[/tex], so further action is necessary. Average [tex]\( 2 \)[/tex] and [tex]\( G_1 \)[/tex] to find [tex]\( G_2 = \frac{2 + 2}{2} = 2.25 \). \( \frac{5}{G_2} = \frac{5}{2.25} = 2.222 \)[/tex], which is not equal to [tex]\( G_2 \)[/tex], so further action is necessary.

C. Average [tex]\( 2.25 \)[/tex] and [tex]\( G_2 \)[/tex] to find [tex]\( G_3 = \frac{2.25 + 2.222}{2} = 2.236 \). \( \frac{5}{G_3} = \frac{5}{2.236} = 2.237 \)[/tex], which is equal to [tex]\( G_3 \)[/tex]. That means [tex]\( \sqrt{5} \)[/tex] is approximately [tex]\( 2.236 \).[/tex]

The complete Question is

The ancient Babylonians developed a method for calculating nonperfect squares by 1700 BCE. Complete the statements to demonstrate how to use this method to find the approximate value of .

A. In order to determine , let G1 = 2, a number whose square is close to 5.

B. 5 ÷ G1 = , which is not equal to G1, so further action is necessary. Average 2 and G1 to find G2 = 2.25. 5 ÷ G2 ≈ (rounded to the nearest thousandth), which is not equal to G2, so further action is necessary.

C. Average 2.25 and G2 to find G3 = 2.236. 5 ÷ G3 ≈ (rounded to the nearest thousandth), which is equal to G3. That means is approximately 2.236.

The expression square root of 576/64 in simplest form is

Answers

The calculation is:   [tex] \sqrt{ \frac{576}{64} } = \sqrt{9} = 3[/tex]

I see you have doubts, so I will explain each step.

Step 1: simpliy 576 / 64. In this case when you divide 576 by 64 you get 9 that is a whole number, so that is its simplest form.

Step 2: Calculate the square root of 9, which is 3.

If you use a simple calculator you will obtain that, but the square root of 9 is a calculation that you should know by  yourself.

Remember that the square root a number N is the number that multiplied by itself results in the number N. For example the squere root of 4 is 2, because 2 times 2 is 4. So, the square root of 9 is 3 because 3 times 3 is 9.

It will be very helpful for you to learn the 12 first squares because with that you will be able to tell the square roots of the most elemental numbers:

1^2 = 1 => √1 = 1

2^2 = 4 => √4 = 2

3^2 = 9 => √9 = 3

4^2 = 16 => √16 = 4

5^2 = 25 => 25 = 5

6^2 = 36 => √36 = 6

7^2 = 49 => √49 = 7

8^2 = 64 => √64 = 8

9^2 = 81 => √81 = 9

10^2 = 100 => √100 = 10

11^2 = 121 => √121 = 11

12^2 = 144 => √144 = 12

Answer:

Just did it

The answer is 3

Step-by-step explanation:

The result of rounding the whole number 72,341 to the nearest hundreds place is:
72,300.
72,000.
70,000.
72,340

Answers

Hi there ,
the answer will be 72,300.
Hope it helps
Nearest hundreds.

72, 341:

7 is in the ten thousands place
2 is in the thousands place
3 is in the hundreds place
4 is in the tens place
1 is in the ones place

To find the hundreds place, look at the place value to the right of it (or tens place in this case).

In the tens case is a 4, which is less than 5, so you round down 
( 5 and greater, round up, 4 and less, round down)

So your answer is 72,300

hope this helps

How do you write an absolute value equation!? Pls help! 20 points.

Answers

The answer is always positive, unless there’s a negative outside |x|
It can be anything like: I3+4I > 5 or I-3I.

The office of student services at a large western state university maintains information on the study habits of its full-time students. their studies indicate that the mean amount of time undergraduate students study per week is 20 hours. the hours studied follows the normal distribution with a standard deviation of six hours. suppose we select a random sample of 144 current students. what is the probability that the mean of this sample is less than 19.25 hours?

Answers

Answer: 45.03%

To find the answer for this problem, you first need to find the z-score for a value of 19.25.

The z-score is the number of standard deviations from the mean.

Here is the work for our z-score:

19.25 - 20 = -0.75 / 6 = -0.125

Now, you just have to use a standard normal distribution table and look up the probability for a z-score of -0.125. I used the average of the probability for z-scores of -0.12 and -0.13 to get 45.03%.
Final answer:

There is a 22.66% probability that the mean study time of a random sample of 144 students at the large western state university will be less than 19.25 hours.

Explanation:

To solve this problem, we need to use the formula for the z-score, which is (X - μ) / (σ / √n), where X is the sample mean, μ is the population mean, σ is the standard deviation, and n is the sample size.

Here, n=144, μ=20, σ=6 and X=19.25. Substituting these values into the formula, we get z = (19.25 - 20) / (6/√144) = -0.75.

The z-score tells us how many standard deviations the value is away from the mean. A negative z-score indicates that the data point is less than the mean.

To find the probability, we need to look up this z-score in the z-table, which gives the area to the left of the z-score on a standard normal distribution. The value associated with z=-0.75 on the table is approximately 0.2266, or 22.66%.

So, there is a 22.66% probability that the mean study time of a random sample of 144 students will be less than 19.25 hours.

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What is the value of x in the diagram below?

Answers

Hi, 
The answer will be [tex] \frac{ 18\sqrt{2} }{ \sqrt{3} } [/tex] .

Now how is that, there is a rule for the right angled triangle which says:

cosθ = [tex] \frac{adjacent side}{hypotenuse} [/tex] so, if we applied this rule on the lower triangle we can say: cos30°= [tex] \frac{9}{hypotenuse} [/tex] and therefore the hypotenuse = [tex] \frac{9}{cos30} [/tex] = [tex] \frac{18}{ \sqrt{3} } [/tex] .

now in the upper triangle we will apply the same rule so,
cos45°=[tex] \frac{adjacent side}{hypotenuse} [/tex]
and the adjacent side in the upper triangle is [tex] \frac{18}{ \sqrt{3} } [/tex] and the hypotenuse is x.
so cos45°=[tex] \frac{( \frac{18}{ \sqrt{3} } )}{x} [/tex] and then we can say 
x=[tex] \frac{ \frac{18}{ \sqrt{3} } }{cos45} [/tex] = [tex] \frac{ 18\sqrt{2} }{ \sqrt{3} } [/tex] .

Answer: B

Step-by-step explanation: EDGE 2022

I Really Need Help With This Problem, Please

Listed in the Item Bank are key terms and expressions, each of which is associated with one of the columns. Some terms may display additional information when you click on them. Drag and drop each item into the correct column. The order does not matter.

Answers

1 and 5 are corresponding
1 and  8 are alternate exterior
2 and 6 are corresponding
2 and 7 are alternate exterior
3 and 5 are alternate interior
3 and 6 are consecutive interior
3 and 8 are corresponding
4 and 5 are consecutive interior
4 and 6 are alternate interior
4 and 7 are corresponding

Answer:

Corresponding angles : 1 & 5 , 2 & 6 , 4 & 7 , 3 & 8 .

Alternate interior angles : 4 & 6 , 3 & 5

Alternate exterior angles : 1 &8 , 2 & 7

Consecutive interior angles : 4 & 5, 3 & 6

Step-by-step explanation:The corresponding angles are the angles that are in the same position made by a line cutting through two or more other lines.The alternate interior angles are a pair of angles on the inner side of each of those two lines but on opposite sides of the transversal. The alternate exterior angles are a pair of angles on the outer side of each of those two lines but on opposite sides of the transversal. The consecutive interior angles are the pair of angles which are formed on one side of the transversal when two lines are intersected by transversal line .

By using the above definitions,

Corresponding angles : 1 & 5 , 2 & 6 , 4 & 7 , 3 & 8 .

Alternate interior angles : 4 & 6 , 3 & 5

Alternate exterior angles : 1 &8 , 2 & 7

Consecutive interior angles : 4 & 5, 3 & 6

The function rule for this graph is y =__ x +__

Answers

It is -1/2x + 2...she just didnt add the negative sign

The equation of line will be -

y = [tex]-\frac{1}{2} x[/tex] + 2

We have a graph as shown in the figure.

We have to find out the equation of this straight line in the graph.

What is the general form of the equation of a Straight line?

The general form of a equation of a straight line is -

y = mx + c

where -

m - slope of line

c - the y - intercept

We have -

The y intercept of the straight line as = (0, 2)

The x intercept of the straight line as = (4, 0)

The slope of the line will be m = [tex]\frac{2 - 0}{0 - 4}[/tex] = - [tex]\frac{1}{2}[/tex]

The y-intercept is at (0, 2) , therefore the value of c = 2.

Substituting the values in the general equation of line we get -

y = mx + c

y = [tex]-\frac{1}{2} x[/tex] + 2

Hence, the equation of line will be -

y = [tex]-\frac{1}{2} x[/tex] + 2

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MEDAL!!!@#$%
7. According to the plate tectonics model, what layer from Earth's rigid, mobile plates?
A. inner and outer core
B. upper and lower mantle
C. crust only
D. crust and upper mantle <---
i think D is the answer,

Answers

The earth's outermost, rigid layer, the lithosphere, is fragmented into a dozen or more irregularly shaped plates that are riding atop a hotter, more mobile material, the asthenospehere. The tectonic plates are made up of Earth's crust and the upper part of the mantle. The plates fit together like a jigsaw puzzle. The lithospere is subdivided into tectonic plates.

BRAINLIESTTT ASAP!! :)

How do you know if a parabola has a maximum or a minimum?

Answers

The the parabola opens upward it has a minimum and if it opens downward then it has a maximum :)
look at the officiant of the terms, is a >0 then the parabola opens up upward and the graph has has a minimum at its vertex.

50 POINTS PLZZZZZ HELP NOW I NEED FULL EXPLANATION AND RIGHT ANSWERS

IF the area of the frame was 64inches², what would be 2 possible sets of dimensions that could be used to make a frame with that area?

Answers

The side lengths could be 4 in. x 16 in. because that equals 64 inches^2. It could also be 8 in. x 8 in. because that also equals 64 inches^2.
Hello!

We know that the area of the frame is 64 inches^2. Let's list the factors of 64. They are:

1, 2, 4, 8, 16, 32, and 64.

There are many possible sets of dimensions.

The dimensions could be 1 in × 64 in, 2 in × 32 in, 4 in × 16 in, or 8 in × 8 in.

If the frame is shaped like a rectangle, then the first three sets of dimensions would be possible.
If it is a square, then the last (8 × 8) are possible.

The limit as h approaches 0 of (e^(2+h)-e^2)/h = ?
The answer is e^2; please explain how to get that?

Answers

First, separate the exponents of the first exponential:

[tex] \lim_{h \to 0} \frac{e^{2} e^{h} - e^{2} }{h} [/tex]

Regroup e² on the numerator:
[tex] \lim_{h \to 0} \frac{ e^{2} (e^{h} - 1) }{h} [/tex]

e² is now a constant that can be brought outside the limit:

[tex] e^{2} \lim_{h \to 0} \frac{ e^{h} - 1}{h} [/tex]

This limit is a notable one, and we know it is equal to 1,

therefore:

e² · 1 = e²



Shawn is typing a paper for class. He can type 1 5/12 pages in 1/3 of an hour. How many pages can Shawn type in one hour?

Answers

the amount of pages typed after 1/3 of an hour is given. Multiply this number by 3 to get the full hour of pages types.

1 5/12 * 3 = 3(1) + 3(5/12)
= 3 5/4
= 4 1/4 pages

Answer:

i think he is right

simplest form of the expression
3sqrt750+3sqrt2058-3sqrt48
can someone explain

Answers

First, you have to decompose the numbers under the square root:
750 = 2·3·5²
2058 = 2·3·7³
48 = 2⁴·3

Then, enlight all the exponents multiple of 2 (which is the index of the root):
3·√(2·3·5²) + 3·√(2·3·7²·7) + 3·√(2⁴·3)

At this point, you can take outside the square root everything that has an even number, and doing so you have to halve the exponent; you'll get:
3·5·√(2·3) + 3·7·√(2·3·7) + 3·2²·√3

You can now multiply:
15√6 + 21√42 + 12√3
which is the simplest form of your expression.

Find the equation of line passing through (-7,-9) and parallel to the 8x-9y+2=0

Answers

Lets get started :)

8x - 9y + 2 = 0
9y = 8x + 2
y = [tex] \frac{8}{9}x + \frac{2}{9} [/tex]

Since the equation of this line is parallel to the one to be found, both have the same slopes: [tex] \frac{8}{9} [/tex]

Coordinates : ( - 7 , - 9 )

y - ( -9 ) = [tex] \frac{8}{9} [/tex] ( x - ( -7 ) )
y + 9 = [tex] \frac{8}{9}x + \frac{56}{9} [/tex]
y = [tex] \frac{8}{9}x + \frac{56}{9} - 9 [/tex]

y = [tex] \frac{8}{9}x - \frac{25}{9} [/tex]

Chen has an MP3 player called the Jumble. The Jumble randomly selects a song for the user to listen to. Chen's Jumble has 4 classical songs,3 rock songs,and 2 rap songs on it.Chen is going to listen to 360 songs.What is the best prediction for the number of classical songs that Chen will listen to?

Answers

about 10 songs because if you add up all ten numbers of all the songs then you divide, then you divide again you will get 10 songs

Last month, the seventh grade and eighth grade math classes at Moore Middle School collected canned goods for the local food shelter. The dot plots below show the number of canned goods collected by the classes.


The mean absolute deviation for each grade level is 1.6. The difference between the mean number of canned goods collected by each grade level is how many times the mean absolute deviation?
A. 5
B. 4
C. 3
D. 6

Answers

To answer this question you will need to find the mean of each class and then subtract them. You will then compare this difference to the MAD of 1.6.

Mean of 7th grade class is:
420/20=21

Mean of 8th grade class:
325/25=13

21-13=8

To find how many times , divide 8 by 1.6.

8/1.6= 5 times

The difference of the means is 5 times the MAD (mean absolute deviation).

Suppose the test scores of students in a class are normally distributed with a mean of 92 and a standard deviation of 3.

What is the z-score for a student who scored 86 on a test?


−6

−2

2

6

Answers

-2 since 86-92/3 = -6/3 which is -2

15.5 ft + 1.25 ft + 13.5 ft=

Answers

Adding all these numbers together, you should get 30.25 ft.
30.25ft. First you add the whole numbers then you add the decimals.

PLEASE HELP ME QUICK PLEASE!!!!!!

10 PTS ILL GIVE BRAINLIEST IF U ANSWER CORRECTLY

THX

Answers

Only constraint 2 would be met if 9 vanilla cups and 18 chocolate cups were purchased

Only constraint 1 would be met if 6 vanilla cups and 18 chocolate cups were purchased

A dress normally sells for $45.95. How much does the dress cost after a 20% discount?

Answers

the dress would cost $36.76 after a 20% discount
$36.76

45.95 x .20 =9.19
45.95 - 9.19 =36.76



1. What is the vertex of the parabola?
A. (-1,0) B. (0, -3) C. (1, -4) D. (3, 0)

2. Which of the following has a graph that is wider than the graph of y=3x^2+2?
A. Y=3X^2+3
B. Y=0.5X^2+1
C. Y=-4X^2-1
D.Y=4X^2+1

3. Which graph represents the unction y=-2x^2-5?

4. What is the order, form narrowest to widest graph, of the quadratic functions f(x)=-10x^2, f(x)=2x^2, f(x)=0.5x^2

A. f(x)=-10x^2, f(x)=2x^2, f(x)=0.5x^2
B. f(x)-2x^2, f(x)=-10x^2, f(x)=0.5x^2
C. f(x)=0.5x^2, f(x)=2x^2, f(x)=-10x^2
D. f(x)=0.5X62, f(x)=-10x^2, f(x)=2x^2

Answers

Answer: Without the pictures, the only questions we can answer are #2 and #4.

#2
Choice B is wider than the graph of y = 3x^2 + 2. In a quadratic function like this, the value in front of the x^2 controls the width. Any positive number smaller than 3 would be wider.

#4
Choice A has the correct order. Again, the value in front of the x^2 controls how wide or narrow the graph is. First, take the absolute value of each value. Then, place them in order from greatest to least. The greater the number the narrower the graph.

Answer:

1. what is the vertex of the parabola?

C : ( 1, -4 )

2. Which of the following has a graph that is wider than the graph of y=3x^2+2?

B : Y=0.5X^2+1

3. Which graph represents the unction y=-2x^2-5?

D : choose the graph that has the smaller curve and arrows facing down

4. What is the order, form narrowest to widest graph, of the quadratic functions f(x)=-10x^2, f(x)=2x^2, f(x)=0.5x^2

A : f(x)=-10x^2, f(x)=2x^2, f(x)=0.5x^2

Step-by-step explanation:

these are the correct answers for 2022

i finished the quick check   UwU

How do I solve this

Answers

Hi there!

Since the complementary angle adds up to 90 degrees, we would add 55° and (3x + 8)° and set it equal to 90°.

55° + (3x + 8)° = 90°

Now, to find x, we simplify.

63 + 3x = 90
3x = 27
x = 9

So, x is 9 degrees.

Hope this helps!
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Unconsciously motivated by miserliness, mr. rioja refused to send his son money to buy the books he needs for his college courses. in defending his actions, mr. rioja explained that "parental financial aid prevents teenagers from developing into mature, independent adults." mr. rioja's explanation is an example of The human resources officer denied mrs. merkel employment because she believes that at 62 years of age, mrs. merkel is too old to start a new career. this is an example of Please help with the question. For some reason, I find it confusing and I need some assisstance. Thank you! This passage is taken from WHICH section of the Georgia Constitution? Simplify the expression where possible. (r^3) -2 Which approach is a negative way to deal with conflicts?resorting to submissionconfronting the issueanalyzing what you could do differentlyevaluating the situation from all perspectivesfinding ways to avoid the conflict in the first place The shape of a molecule is tetrahedral. How many lone pairs are most likely on the central atom What was the movement to protect Americas natural resources and wilderness? PLEASE HELP ME QUICKLY HURRRYYY!!!!!!!!!!!!!!! in which direction will the following reaction go if the standard reduction potentials are 0.80 V for Ag/Ag+ and -0.44 V for Fe/Fe2+?, Which is one of the most important differences between prokaryotes and eukaryotes?The cytoplasm in eukaryotes does not contain any organelles but that of prokaryotes does.Eukaryotes are much smaller than prokaryotes.Prokaryotes do not have a welldefined nucleus, but eukaryotes do. Which event occurred BEFORE the Battle of Baltimore?A) The Star-Spangled Banner became the national anthem.B) Francis Scott Key wrote the song "The Defence of Fort McHenry."C) Colonel Armistead ordered a large flag to fly atop Fort McHenry.D) Francis Scott Key felt inspired to write about the flag on Fort McHenry. Patacones are made from a food that's mashed up into a what? paste, soup, sauce, jam A rock is thrown upward with an initial velocity of 16 ft/s from an initial height of 5 ft. write a quadratic function equation that describes the height h at time t. if f(x) varies directly with x2, and f(x) = 96 when x = 4, find the value of f(6). What kind of reaction forms a peptide bond? dehydration synthesis cellular respiration photosynthesis hydrolysis 20.Find the measure of each interior angle AND each exterior angles of the following regular polygons. Show your work. a.Pentagon b.16-gon c.Dodecagon 0.25 r 0.125 + 0.5 r = 0.5 + r solve for r please show steps so i can actually understand., Which actions taken by the French government in the early 1900s contributed to the success of reform efforts to separate church and state?A.the transfer of responsibility for clergy salaries from the church to the stateB.government cost sharing of new monasteries and church schoolsC.the establishment of free public elementary school system throughout the countryD.government subsidies for parishes having less than 20 active members. Which entity was responsible for the process of selective incorporation of the Bill of Rights into the practices of the states?State CourtsSupreme CourtThe Executive BranchCongressState Legislatures