Enter the slope-intercept equation of the line that has the same slope as y - 3 = (x + 3) and contains
the point (8,4). Complete the explanation of how you found the equation.
y= ;l used the general form of a line in slope-intercept form, or y=mx+
b w The
slope, m, is .Then, I substituted for x and fory into the standard form and solved
for b, which is


HELLPPP please

Enter The Slope-intercept Equation Of The Line That Has The Same Slope As Y - 3 = (x + 3) And Containsthe

Answers

Answer 1

Given:

[tex]y-3=\frac{1}{2}(x+3)[/tex]

Point = (8, 4)

To find:

The slope-intercept form of the equation of the line.

Solution:

[tex]$y-3=\frac{1}{2}(x+3)[/tex]

Slope of this line = [tex]\frac{1}{2}[/tex].

Slope of the line is same as the slope of  [tex]y-3=\frac{1}{2}(x+3)[/tex].

Slope of the line (m) = [tex]\frac{1}{2}[/tex]

General form of line:

y = mx + b

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

It contains the point (8, 4). Substitute x = 8 and y = 4 in (1).

[tex]4=\frac{1}{2}( 8)+b[/tex]

[tex]4=4+b[/tex]

Subtract 4 from both sides, we get

b = 0

Substitute b = 0 in (1).

Equation of the line:

[tex]y=\frac{1}{2} x+0[/tex]

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

Complete the sentence:

[tex]y=\frac{1}{2} x[/tex]; I used the general form of a line in slope-intercept form, y = mx + b. The slope, m is [tex]\frac{1}{2}[/tex]. Then I substituted 8 for x and 4 for y into the standard form and solved for b, which is 0.


Related Questions

Help me asap ok thanks

Answers

Answer: total profit = $418

======================================================

Work Shown:

June

Income = (4 lawns)*($27 per lawn) = $108

Expenses = ($32 for gas)+($12 for trim line) = $44

Profit = income - expenses = 108-44 = $64

----------------------------

July

Income = (12 lawns)*($20 per lawn) = $240

Expenses = ($89 for gas)+($29 for blade sharpening) = $118

Profit = income - expenses = 240 - 89 = $151

----------------------------

August

Income = (16 lawns)*($20 per lawn) = $320

Expenses = ($101 for gas)+($16 for oil) = $117

Profit = income - expenses = 320-117 = $203

----------------------------

Total profit = (june profit)+(july profit)+(august profit)

Total profit = (64) + (151) + (203)

Total profit = $418

If the final result was negative, then we would call this a loss. However, we have a positive value, so we go with a profit.

x+3y>-3 and y<1/2x+1

Answers

Answer:

well i have no idea what ur asking but i think 6+3*2>-3 and 98<1/2*2+1

Step-by-step explanation:


Drag each equation to show if it could be a correct first step to solving the equation 2(x + 7) = 36.
A 2x + 14 = 36
B (2 • x) + (2 • 7) = 36
C 2x + 7 = 36
D 2(x + 7) = 72
E x + 14 = 36
F x + 7 = 18
Yes No Not Enough Information

Answers

Answer:

Yes: A, B, F

No: C, D, E

Step-by-step explanation:

2(x + 7) = 36

First divide both sides by 2

(x + 7) = 36/2

x + 7 = 18

Or

2(x + 7) = 36

2x + 14 = 36

Or,

2(x) + 2(7) = 36

The equations that represent the correct first step to the given equation should be Yes for options  A, B, F and No for options  C, D, E

Calculation of an equation

Since the given equation is 2(x + 7) = 36

Here we first divide both sides by 2

So,

(x + 7) = 36 ÷ 2

x + 7 = 18

Or

2(x + 7) = 36

2x + 14 = 36

Or,

2(x) + 2(7) = 36

Therefore, The equations that represent the correct first step to the given equation should be Yes for options  A, B, F and No for options  C, D, E

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4
A farmer ties 4 bags on his mule. If the
mule can carry up to 200 lb and each
bag weighs 30 lb, how many more bags
can the mule carry?

Answers

Answer:

the mule can carry 2 more bags

Step-by-step explanation:

Five times two fifths

Answers

Answer:=2

Step-by-step explanation:

What is the measure of Angle M R N? Triangle M R N. Angle N is 98 degrees. Side N M extends to form exterior angle with a measure of 109 degrees.

Answers

Answer: Angle MRN equals 11 degrees (11°)

Step-by-step explanation: Please see the picture attached for details.

The triangle MRN has been drawn such that angle N as shown equals 98 degrees. Then line NM has been extended and the exterior formed there is 109 degrees. That means angle M can be calculated as follows

Angle M = 180 - 109 {Angles on a straight line equals 180}

Angle M = 71

Now we have two angles given as angle N which is 98 degrees and angle M which is 71 degrees.

Angle MRN can now be calculated as follows;

∠ MRN = 180 - (71 + 98) {Sum of angles in a triangle equals 180}

∠ MRN = 180 - 169

∠ MRN = 11

Therefore angle MRN measures 11 degrees.

Answer:16

Step-by-step explanation:Take 98 and subtract it from 109

PLEASE HELP ASAP!!!!!!!

A.) If two lines are parallel, then the same-side interior angles formed are congruent.


B.) If two lines are parallel, then the corresponding angles formed are congruent.


C.) Vertical angles are congruent.


D.) If two lines are parallel, then the alternate interior angles formed are congruent.

Answers

Answer: D

Step-by-step explanation:

The reason that justifies Step 2 in the proof is Vertical angles are congruent.

Therefore, the correct answer is C. Vertical angles are congruent.

Vertical angles are angles that are opposite each other when two lines intersect.

They are always congruent, regardless of whether the lines are parallel or not.

In the given diagram, angles ∠NQT and ∠SQR are vertical angles. Therefore, they are congruent, and Step 2 of the proof is justified.

The other answer choices are not correct:

A: Same-side interior angles are only congruent when the lines are parallel.

B: Corresponding angles are only congruent when the lines are parallel.

D: Alternate interior angles are only congruent when the lines are parallel.

Therefore, the correct answer is C. Vertical angles are congruent.

For similar question on Vertical angles.

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What is the area of the shaded region?

Answers

Given:

Radius of in circle (r) = 2 cm

Radius of out circle (R) = 4 cm

To find:

The area of the shaded region.

Solution:

The value of π = 3.14

Area of in circle = πr²

                          = 3.14 × 2²

Area of in circle = 12.56 cm²

Area of out circle = πR²

                          = 3.14 × 4²

Area of out circle = 50.24 cm²

Area of the shaded region = Area of out circle - Area of in circle

                                            = 50.24 - 12.56

                                            = 37.68 cm²

The area of the shaded region is 37.68 cm².

Q4) Kiarah collects data throughout the basketball season and uses these 1 point
data to determine the probabilities of different teams playing in the league
championship game. The probabilities for her four favorite teams playing in
the championship game are shown below. Which of these teams is least
likely to play in the championship game?*
• Tigers: P =
• Redbirds: P =
• Bulldogs: P =
•Titans: P =
a. Tigers
B. Redbirds
C. Bulldogs
D. Titans


Answers

Answer:

C. Bulldogs

Step-by-step explanation:

In this question, we want to compare several numbers with different denominators and find out which number is the least. To compare this number, we have to change the denominator into the same number by finding the least common multiple (LCM) of the 4 numbers. The factor of each number will be:

3= 3 ^1

5= 5^1

8= 2 * 2 * 2 = 2^3

2= 2^1

We can find the LCM by multiplying a higher exponent of each prime number. The LCM will be:3^1 * 5^1 * 2^3 = 120

Each number will be:

Tiger= 2/3 * 40/40= 80/120

Redbird = 4/5 * 24/24= 96/120

Bulldogs = 3/8 * 15/15 = 45/120

Titans = 1/2 * 60/60 = 60/120

As you can see, the team with the lowest chance to play is Bulldogs = 45/120

Answer:

bulldogs (i think)

Step-by-step explanation:

3. A numbers is subtracted from seven. When the result is divided by
three, the quotient is two. What is the number?

Answers

Answer:

so a number s (s) is subtracted from seven (7 take away s or 7-s) when the result (7-s) is divided by 3 [(7-s)/3] the quotient is 2 (=2)

(7-s)/3=2

multiply both sdis by 3

7-s itmes 3/3=2 times 3

7-s=6

subtract 7 from both sdies

-s=-1

multily -1

s=1

7-x=y

y/3=2

y=6

7-x=6

-x= -1

x=1

which of the following angles is coterminal with one that measures 98 degrees

Answers

Answer:

See below

Step-by-step explanation:

You have not provided the options.

But I will explain how you can work it.

Coterminal angles are two or more angles that have the same terminal side in standard.

If you want to find an angle that is coterminal with 98°, you keep adding or subtracting 360°.

[tex]98 + 360 = 458 \\ 98 + 2 \times 360 = 818[/tex]

[tex]98 - 360 = - 262[/tex]

Therefore 488°, 818°, -262° are examples of angles that are coterminal with 98°

the function f(x)=10(2)^x models an insect population after x weeks. to the nearest whole number, what will be the population after 4 wekks

Answers

The insect population after 4 weeks will be 160 to the nearest whole number.

The student is asking about the function f(x) = 10(2)ˣ, which models an insect population after x weeks.

To find the population after 4 weeks, we need to substitute x with 4 in the function:

f(4) = 10(2)⁴

Now we calculate the value:

f(4) = 10(16) = 160

So, to the nearest whole number, the insect population after 4 weeks will be 160.

What is the volume (in cubic units) of a cone with a radius
of 3 units and a height of 16 units? Assume that pie = 3.14
and round your answer to the nearest tenth when
necessary.

Answers

Answer:

150.72

Step-by-step explanation:

Used calculator

Due: Thursday at 11:00 PM
6
.
At the beginning of class, Mrs. Smith asked each of her 25 students to write his/her name on an index card and place
it in a closed container. Mrs. Smith draws a card in the morning and replaces it and repeats the process at the end of
the day. What is the probability that the same student will have his/her name drawn both times in the same day?

Answers

Answer: 1/25

Step-by-step explanation:

True or false order matter in ratio

Answers

Answer:

true

Step-by-step explanation:

Order matters because if you switch it around it means a totally diffrent thing for example 1:2= 1/2 and 2:1 = 2/1. you see it really does matter.

you and a friend play a game twice. what is the probability that you win both games? P(win) = 1/2

Answers

Answer:

1/4

Step-by-step explanation: 1/2*2=1/4

The probability of winning two games in a row, with each win having a 1/2 chance, is 1/4 or 25 percent, calculated by multiplying the individual probabilities for each game using the product rule.

The probability that you win a game is given as 1/2, and since the games are independent, the probability of winning both games in a row is found by multiplying the probabilities of each individual game. Using the product rule, P(win game 1 and game 2) = P(win game 1) × P(win game 2).

Since P(win) = 1/2 for each game, we simply calculate:

P(win both games) = (1/2) × (1/2) = 1/4.

Therefore, the probability of winning both games is 1/4 or 25 percent.

HELP ASAP!!!!!!!! IF YOU CAN I WILL GIVE 5 STARS!!!!!!!!!

What is the volume of a right rectangular prism with length 10 units, width 5 units, and height 3 units?


18 units³


45 units³


80 units³


150 units³

Answers

Answer:

150 units³

Step-by-step explanation:

l * w * h = volume, so...

10*5*3 = volume

150 = volume

Answer: its 150 i took the test

Step-by-step explanation:

What is the surface area of the prism in square inches?
Sin.
3 in
14 in.
8 in
60 square inches
168 square inches
276 square inches
304 square inches

Answers

add 60+168+276+304 and you get 810 square inches then add 3+14+8 and equals 835.

Answer:

The answer is B.276.

Step-by-step explanation:

Got it right on Edge 2020 :)

Have a great day!!!! :)

If f(x) = x2 + 1 and g(x) = x - 4, which value is equivalent to (f•g)(10)?
37
97
126
606

Answers

Hence the correct answer is Option (A) i.e. 37

What is Composition of a Function?

The composition of a function is an operation where two functions say f and g generate a new function.

How to Solve:

Given,

        [tex]f(x)= x^2+1[/tex]-------------------(1)  

and,  [tex]g(x)= x-4[/tex]

Now ,

          [tex]fog(x)=f[g(x)][/tex]

                     [tex]=f(x-4)[/tex]

                     [tex]=(x-4)^2+1[/tex]       (from 1)

                     [tex]=x^2-8x+16[/tex][tex]+1[/tex]  

         [tex]fog(x)=x^2-8x+17[/tex]-----------------(2)

Now , we need to find  [tex]fog(10)[/tex]

so, put x=10 in equation 2, we get:

[tex]fog(10) = 10^2 -8(10)+17\\fog(10) = 100-80+17\\fog(10) = 37[/tex]

Hence, the answer is 37

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URGENT! What is the Range of the function y= 7cos(9x) ?

Answers

Answer:

-7 ≤ f(x) ≤7

Why:

The set of values of the dependent variable for which the function is good.

what is the best estimate for 19% of 205%​

Answers

Answer:

19% of 205 = 38.95

Hope this helps love!

Which sale gives the greatest percent discount? 1) Take 25% off, 2) original price reduced by 30%, 3) on sale at 60% of the original price, 4) it depends on the original price.

Answers

Final answer:

The greatest percent discount is the option where the item is on sale at 60% of the original price. This is because you are paying the smallest percentage (60%) of the original price compared to the other options, representing the largest discount.

Explanation:

The question is pertaining to discounts and how to determine which option gives the greatest percent discount. Finding the greatest percent discount involves comparing the different percentage decreases from the original price. We can ignore any impact of sales tax for this particular comparison.

Here are the discounts rephrased in terms of how much of the original price you would pay:

25% off - You pay 75% of the original price.Original price reduced by 30% - You pay 70% of the original price.On sale at 60% of the original price - You pay 60% of the original price.

Now, comparing these percentages (75%, 70%, and 60%), the smallest percentage represents the largest discount. Therefore, option 3, where the item is on sale at 60% of the original price, represents the greatest discount as you're paying the smallest percentage of the original price. The original price does not impact which discount is greater since we are comparing percentages, not absolute values, which means the answer does not depend on the original price.

Final answer:

Comparing percent discounts shows that being on sale at 60% of the original price (Option 3) is effectively a 40% discount, which is the greatest discount among the given options.

Explanation:

The question asks about comparing different percent discounts to determine which one is the greatest. To compare the discounts, we consider a hypothetical original price and apply each discount to see which reduced price is the lowest.

Option 1: 25% off means the sale price is 75% of the original price.

Option 2: A reduction of 30% means the sale price is 70% of the original price.

Option 3: On sale at 60% of the original price means the sale price is exactly that, 60% of the original price.

Option 4: The sale that offers the greatest percent discount does not depend on the original price because percentages are relative, not absolute values.

Considering these options, Option 3, being on sale at 60% of the original price, is equivalent to a 40% discount, which offers the greatest percent discount.

What is the equation of a circle with center (8,1) and radius 6?
A. (x - 3)2 + (y - 1)2 = 6
B. (x - 3)2 + (y - 1)2 = 36
C. (X + 8)2 + (y + 1)2 = 36
D. (X + 8)2 + (y + 1)2 = 6

Answers

Answer:

(x - 8)² + (y - 1)² = 36

None of the above

Step-by-step explanation:

Equation of a circle:

(x - h)² + (y - k)² = r²

(x - 8)² + (y - 1)² = 6²

(x - 8)² + (y - 1)² = 36

(x - 8)2 + (x - 1)2 = 36

Mathieu is finding the x-intercepts of the function
f(x) = x2 + 4x + 3. His work is shown below.
Which error did Mathieu make?
He factored incorrectly.
He did not use the constant as the x-intercept.
O He set the factored expressions equal to each
other.
1.0 = x2 + 4x + 3
2. 0 = (x + 3)(x + 1)
3. x + 3 = x + 1
4. X = X-2
5.0 = -2
6. There are no x-intercepts.
O He incorrectly solved the equation x + 3 = x + 1.

Answers

Answer:

Step-by-step explanation:

He set the factored expressions equal to eachother

Mathieu made the error of setting the factored expressions equal to each other. In step 3, he incorrectly wrote x + 3 = x + 1. This is not true, and it led him to the incorrect conclusion that x = -2.

What is standard error?

It is an estimate of the standard deviation of the sampling distribution. It measures the variability of a considered sample statistic.

Suppose that we're given that:

Population standard deviation =[tex]\sigma[/tex]

Size of sample we're working on = n

Then, the standard error can be calculated as:

[tex]SE = \dfrac{\sigma}{\sqrt{n}}[/tex]

where SE denotes the standard error.

We are given that;

f(x) = x2 + 4x + 3

Now,

To find the x-intercepts of the function f(x) = x^2 + 4x + 3, you need to set the function equal to zero and solve for x:

x^2 + 4x + 3 = 0

You can factor this quadratic equation as:

(x + 3)(x + 1) = 0

Then, you can use the zero product property to find the values of x that make the equation true:

x + 3 = 0 or x + 1 = 0

Solving for x in each equation gives:

x = -3 or x = -1

Therefore, after finding the error step 3 will be f(x) = x^2 + 4x + 3 are (-3, 0) and (-1, 0).

Learn more about standard error here:

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Solve the problem.
2) There are 5 roads leading from Charleston to Mattoon, 6 roads leading from Mattoon to Toledo,
and 3 roads leading from Toledo to Greenup. How many ways are there to get from Charleston to
Greenup?
A) 180
B) 14
C) 90
D) 30

Answers

Answer:

There will be 90 ways to reach Greenup from Charleston.

Step-by-step explanation:

Option C: 90 is correct.

Let's name all the ways and try to visualize the roads.

C = Charleston

M = Mattoon

T = Toledo

G = Greenup

Task = Charleston to Greenup. How many different ways to reach?

    1            1          

    2           2           1

C   3     M   3   T      2   G

     4           4           3

     5           5

                   6

So, Refer to this above diagram.

If we Start from C then go to 1 and then go to M and then go to 1 and then go to T and then go to 1 and then go G.

If you notice, in this single possibility we have 3 ways: C to 1 to M, M to 1 to T, T to 1 to G.

It means we will have: 5 x 6 x 3 = 90 number of ways to reach greenup from Charleston.

The total number of ways to get from Charleston to Greenup is option C) 90.

To determine this, multiply the number of roads for each section:

Charleston to Mattoon: 5 roadsMattoon to Toledo: 6 roadsToledo to Greenup: 3 roads

Then, multiply the numbers of roads for all the sections: [tex]5 * 6 * 3 = 90[/tex].

Help ASAP PLEASE I WILL PUT BRAINLIEST AND 30 POINTS!

Answers

Answer:60

Step-by-step explanation: BECAUSE YOU ARE A GREAT PERSON.

Answer:

i dont know sorry

Step-by-step explanation:

i dont know sorry

ANother math question -_-

Answers

Answer:

point c is the correct answer

Step-by-step explanation:

Determine the solution by using substitution. Write your answer as a point below (x,y).

Answers

Answer:

x is 1 and y is negative 2. (1, -2).

Step-by-step explanation:

Hope this helps!

ANSWER

X=1 and y=-1

Hopefully this is the correct answer

Solve 3(x-5)=18

10 points help plz

Answers

Answer:

x=1

Step-by-step explanation:

To solve this question we will have to open the bracket first

So let's solve

3(x-5)=18

Open the bracket

3x-15=18

Add 15 to both sides

3x=3

Make x the subject of formula by dividing both sides by 3

x=1

So the final answer is 1

Answer:

x = 11

Step-by-step explanation:

First Expand the Brackets

3x-15 = 18

Then add 15 onto both sides

3x = 33

Divide both sides by 3

x = 11

what is x+4x+6x= simplify with work

Answers

Answer:

11x

Step-by-step explanation:

You can add all the coefficients together:

1+4+6 = 11

Answer:

11x.

Step-by-step explanation:

Combine like terms, they are alike because they share the same variable. Add x with 4x which is 5x, or you could do this. x+ x+x+x+x= 5x. 5x means you have 5 x's. Then combine 5x with 6x which is 11x. Hope this helps!

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