Which equation is in slope-intercept form and represents a line with slope 3 through the point (9, –4)?
y=3x+21
y=3x-31
-3x+y=-31
-3x+y=21

Answers

Answer 1
The slope-intercept form of a line is:

[tex]y = mx + q[/tex]

Where m is the slope and y is the y-intercept:

[tex]y = 3x + q[/tex]

To find q (y-intercept), substitute the coordinates of the point (9, -4) in the equation of the line and solve it as an equation:

-4=3(9)+q
-4=27+q
q=-27-4=-31

The equation of the line is: y=3x-31
Answer 2

The equation in slope-intercept form representing a line with a slope of 3 and passing through the point (9, -4) is y = 3x - 31. This is found by substituting the point coordinates into the slope-intercept equation and solving for the y-intercept.

The question involves finding an equation in slope-intercept form that represents a line with a given slope that passes through a specific point. Slope-intercept form is given by the equation y = mx + b, where m is the slope and b is the y-intercept. Given the slope of 3 and the point (9,
–4), we can find the correct equation by substituting into the slope-intercept form and solving for b.

The correct equation must satisfy the condition that when x is 9, y is –4. Let's use this condition to solve for b:
y = mx + b
–4 = 3(9) + b
–4 = 27 + b
b = –4 - 27
b = –31

Therefore, the equation of the line is y = 3x – 31. This is the only equation among the choices that is in slope-intercept form and satisfies the given conditions.


Related Questions

PLEASE HELP ME QUICK

PLEASE EXPLAIN IT.....

BRAINLIEST IS GIVEN TO RIGHT ANSWER
THX

Answers

y[tex] \geq [/tex]2x+2 

Solve the inequality.
1
_ c < B
4

C < 32
C < -4
C > 12
C > 32

Solve the equation. Y + 13 = 10
Y = -23
Y = 3
Y= -3
Y = 23

Multiply. 7(x -2)
7x - 2
7x - 14
7x - 9
X - 14

Mary and her brother John collect foreign coins. Mary has three times the number of coins that John has. Together they have 160 foreign coins. Find out how many Mary has.
112
120
24
40

Answers

C>12
Y=-3 -3+13= 10
7x-14 Multiply
112

At breakfast, restaurant charges $2 for the first cup of orange juice and then $1 for each refill which graph represents this situation

Answers

It would be 2 + 1x. The y intercept is 2, and every unit, you would multiply those numbers together. For example, if the x axis is 6, then you would do 2 + 6 which is 8 on the y axis and etc.


Answer:

its D

Step-by-step explanation:

Johns father is 2 meters tall how many meters tall how many centimeters tall is johns father

Answers

Answer: He is 6'5

Step-by-step explanation: He is 6'5 because 2 meters it equal to 6'5

You buy boxes of strawberries at the market. Each box costs $ 6 Write an equation for the number of dollars, d, you spend on b boxes.

Answers

6d times b. then at the end just add an dollar sign to complete the answer!!

Answer:

Step-by-step explanation:

You pay \blueD{\$6}$6start color blueD, dollar sign, 6, end color blueD for each box of strawberries. The number of dollars you spend depends on \goldD bbstart color goldD, b, end color goldD, the number of boxes of strawberries you buy.

To find the number of dollars you spend on strawberrries, we can use the equation \maroonD d=\blueD6\goldD bd=6bstart color maroonD, d, end color maroonD, equals, start color blueD, 6, end color blueD, start color goldD, b, end color goldD.

A recipe calls for 1 1 2 cups of flour. how many cups will you need if you are preparing 5 batches of the recipe?

Answers

560 cups of flour needed

Help see the picture

Answers

the answer is £630.00     
799-102=697
697 rounds to 700
89 rounds to 90
90 x 700 = 63000
hope i could help

I really need help on all of these please

Answers

To identify the opposite and adjacent of any angle is fairly simple

the adjacent is the part of the angle that connects with the hypotenuse to form the angle.   So in the 1st triangle the hypotenuse along with segment XZ forms angle Z.  That means that XZ is the adjacent.

To identify the opposite, you find the segment that connects the adjacent to the hypotenuse.

SO in the 1st triangle, segment XY connects the adjacent XZ with the hypotenuse.  So that means that XY is the opposite of angle Z.

How do u do question 25. How do u find the measure of X?

Answers

recall that a circle has a total of 360°, now the arc that is NOT part of "x", is 250°, therefore the leftover, namely the arc made where "x" is at, has to be 360° - 250°, that's the degree measure of that arc.

now, arc's get their angle measure from the central angle they're in, in this case, "x" is the central angle, and therefore, it has the same measure of 360° - 250°.

what is the area of a regular pentagon with an apothem of 25.1 and a perimeter of 182mm

Answers

area = # of sides * side length * apothem / 2
perimeter = 182
one side = 182/5 = 36.4
area = (5 * 36.4 * 25.1) / 2
area = 2,284.1



Please help me. I'm confused. Consider the following geometric sequence. -5, 10, -20, 40,... If the recursive formula for the sequence above is expressed in the form a^n=b*^n-1, determine the value of B. B= (choices are 2, -2, 5, -5)

Answers

it -2 because a negative times a positive is a negative

Answer:

-2

Step-by-step explanation:

If the product of two positive integers is 180 and the larger number is 5 times the smaller number, what are the numbers

Answers

Let the smaller number be x
The bigger number is 5x

5x(x) = 180
5x² = 180
x² = 180÷5
x²=36
x=√36
x = 6 

x=6
5x = 6 x 5
5x = 30

So the two numbers are 6 and 30

Solve for x in the equation x^2+10x+12=36.

A. x = –12 or x = 2
B. x = –11 or x = 1
C. x = –2 or x = 12
D. x = –1 or x = 11

Answers

Solve for x:
x^2 + 10 x + 12 = 36

36 = 36:
x^2 + 10 x + 12 = 36

Subtract 12 from both sides:
x^2 + 10 x = 24

Add 25 to both sides:
x^2 + 10 x + 25 = 49

Write the left hand side as a square:
(x + 5)^2 = 49

Take the square root of both sides:
x + 5 = 7 or x + 5 = -7

Subtract 5 from both sides:
x = 2 or x + 5 = -7

Subtract 5 from both sides:
Answer:  x = 2 or x = -12 Thus the Answer is A.
Final answer:

To solve the equation x^2+10x+12=36, subtract 36 from both sides and factor or use the quadratic formula to find the solutions. The solutions are x = -12 or x = 2.

Explanation:

To solve the equation x^2+10x+12=36, we need to bring all terms to one side of the equation and then factor or use the quadratic formula. Subtracting 36 from both sides gives us the equation x^2+10x-24=0. We can then factor this equation as (x+12)(x-2)=0. Setting each factor equal to zero, we find that x = -12 or x = 2.

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Help please asap


1. The area of a rectangular carpet is given by the trinomial 5x^2 - 3x - 14. What are the possible dimensions of the carpet? Use factoring.

A. (5x + 7) and (-x - 2)
B. (5x + 7) and (x - 2)
C. (5x - 7) and (x - 2)
D. (5x - 7) and (x + 2)


2. The area of a rectangular barnyard is given by the trinomial 6x^2 + 7x – 20. What are the possible dimensions of the barnyard? Use factoring

A. 2x - 5 and 3x + 4
B. -2x - 5 and -3x + 4
C. 2x + 5 and 3x - 4
D. 2x - 5 and 3x - 4

Answers

These are 2 questions and 2 answers:

1. Question 1: The area of a rectangular carpet is given by the trinomial 5x^2 - 3x - 14. What are the possible dimensions of the carpet? Use factoring.

Answer: 5x^2 -3x  -14

Explanation:

You might probe the different pairs of factors given in the answer choices to check wich product is equal to the oirginal polynomial or you can factor from zero.

I will show  you how to factor that polynomial from zero:

1) given: 5x^2 - 3x - 14

2) multiply and divide by the leading coefficient =>

5 [5x^2 - 3x  -14 ]
----------------------
         5

3) Enter the the factor 5 inside the parenthesis:

5.5x^2 - 5.3x - 5.14
--------------------------
              5

4) rearrange conviniently to show (5x) as a common factir of the first two terms

(5x)^2 - 3(5x) - 70
--------------------------
              5

5) factor the numerator using 5x as common term of the two binomials:

(5x  ) ( 5x   ) <----> open the parenthesis
(5x - ) (5x + ) <-----> include the signs
(5x - 10) (5x + 7)  <---> two numbers that add up - 3 and their product is  - 70

=>

(5x - 10)(5x + 7)
---------------------
         5

6) divide (5x - 10) by 5 => x - 2

7) factored expression

(x - 2) (5x + 7)

8) Conclusion: the answer is the option B. (5x + 7) and (x - 2)


2. Question 2.  The area of a rectangular barnyard is given by the trinomial 6x^2 + 7x – 20. What are the possible dimensions of the barnyard? Use factoring

Answer: option C. (2x + 5)(3x - 4)

Explanation:

The procedure is the same of the question 1.

1) given: 6x^2 + 7x - 20

2) multiply numerator and denominator by 6 and rearrange to show (6x) as common factor ot the first two terms =>

(6x)^2 + 7(6x) - 120
--------------------------
              6
3) factor the numerador using 6x as common factor ot two binomials, and simplify:

(6x + )(6x - )
(6x + )(6x - )
(6x + 15) (6x - 8)

=>

(6x + 15)(6x -8)
---------------------
           6

(6x + 15)(6x - 8)
---------------------- =
        3.2

(6x + 15)      (6x - 8)
------------- .  ------------ =
      3                2

(2x + 5)(3x - 4)

4) answer: option C. (2x + 5)(3x - 4)

The possible dimensions for the rectangular carpet with an area represented by the trinomial 5x^2 - 3x - 14 are (5x + 7) and (x - 2). For the barnyard with area 6x^2 + 7x - 20, the dimensions are (2x - 5) and (3x + 4).

To find the possible dimensions of the rectangular carpet with area 5x^2 - 3x - 14, we need to factor the trinomial. Factoring the trinomial, it is evident that we need two numbers whose product is -70 (5 * -14) and whose sum is -3. Factoring the trinomial we get (5x + 7)(x - 2), so the possible dimensions of the carpet are (5x + 7) and (x - 2), which corresponds to option B.

Similarly, to determine the dimensions of a barnyard with area 6x^2 + 7x - 20, we again factor the trinomial. We are looking for two numbers that multiply to -120 (6 * -20) and add up to 7. Factoring yields (2x - 5)(3x + 4), so the possible dimensions of the barnyard are (2x - 5) and (3x + 4), which corresponds to option A.

Suppose the line of best fit is being found for some data points that have an r-value of 0.876. If the standard deviation of the x-coordinates is 5.559, and the standard deviation of the y-coordinates is 7.163, what is the slope of the line to three decimal places?

Answers

1.129 is the answer i promise 

Answer: 1.129

Step-by-step explanation:

In statistics, the slope of the line is given by :-

[tex]b=r\dfrac{\sigma_y}{\sigma_x}[/tex],

[tex]\text{where r is correlation coefficient,}\\\sigma_y\text{ is standard deviation of the y-coordinates,}\\\sigma_x\text{ is standard deviation of the x-coordinates,}[/tex]

[tex]\text{Given: }r=0.876\\\sigma_x=5.559\\\sigma_y=7.163[/tex]

Now, the slope of the line will be :-

[tex]b=0.876\times\dfrac{7.163}{5.559}\\\\\Rightarrow\ b =1.12876200756\approx1.129[/tex]

Hence, the lope of the line to three decimal places =1.129

the sum of two number is 10. the difference between the numbers is 4. what are the two numbers.

Answers

Your answer is 7 and 3.

CHECK MY ANSWER??

Which statement describes the first step to solve the equation by completing the square? 3x^2 + 18x= 21

A. Multiply both sides of the equation by 19.
B. Add 81 to each side of the equation.
C. Add 9 to each side of the equation.(MY ANSWER)
D. Multiply both sides of the equation by 13 .

Answers

Solve for x over the real numbers by completing the Square: None of the provided answers are correct.
3 x^2 + 18 x = 21

Subtract 21 from both sides:
3 x^2 + 18 x - 21 = 0

3 x^2 + 18 x - 21 = 3 (x^2 + 6 x - 7):
3 (x^2 + 6 x - 7) = 0

Divide both sides by 3:
x^2 + 6 x - 7 = 0

x = (-6 ± sqrt(6^2 - 4 (-7)))/2 = (-6 ± sqrt(36 + 28))/2 = (-6 ± sqrt(64))/2:
x = (-6 + sqrt(64))/2 or x = (-6 - sqrt(64))/2

sqrt(64) = sqrt(2^6) = 8 = 8:
x = (-6 + 8)/2 or x = (-6 - 8)/2

(-6 + 8)/2 = 2/2 = 1:
x = 1 or x = (-6 - 8)/2

(-6 - 8)/2 = -14/2 = -7:

Answer:  x = 1 or x = -7

A brand new filled jar of salsa is 11 cm tall and a has a radius of 6 cm. Kelly eats some of the salsa and the salsa in the jar is now 6 cm high. Approximately how much salsa did Kelly eat? Round your final answer to the nearest whole number.

188 cm³
565 cm³
679 cm³
1244 cm³

Answers

I just took the test with that question it is that hopefully it helps 


A 565 cm 

Answer:

Ok the answer is 565 but I'm going to break it down for those who wanna know how

Step-by-step explanation:

So first let's just assume the jar is a cylinder which means to use the formula

[tex]V=\pi r^{2} h[/tex]

They saved you time of having to finf the Radius and such

firstly, we're gonna solve before she eats all that salsa lol

r = 6

h = 11

we're gonna substitute 3.14 for pi

of course you'll solve for it which you'll get

v = 1243.44

now you need to find the volume after she eats the salsa which the only difference is that the height will be 6 instead of 11

substitute

solve and you'll get

678.24

now that you have the volume of before and after she eats the salsa all you need to do is subtract to find the difference

1243.44 - 678.24

which you'll get

565!

Hope this helps!

What is the measure of ∠ABD?

27°
54°
114°
124°

Answers

we know that

An exterior angle is equal to the sum of the two non adjacent angles

so

In this problem

[tex](4n+6)\°=2n\°+60\°[/tex]

Solve for n

Group terms that contain the same variable, and move the constant to the opposite side of the equation

[tex](4n-2n)\°=(60-6)\°[/tex]

Combine like terms

[tex]2n\°=54\°[/tex]

[tex]n=27\°[/tex]

Find the measure of angle ABD

∠ABD=[tex](4n+6)\°[/tex]

Substitute the value of n

∠ABD=[tex](4*27+6)\°=114\°[/tex]

therefore

the answer is the option

[tex]114\°[/tex]

Answer:

the answer is 114

Step-by-step explanation:

hope i helped all of you guys and girls


What is the slope of the line that contains the points (4,-1) and (-1,4)?

Answers

If you follow the slope formula your answer should be -1
proof:
slope formula: Y2-Y1/X2-X1=Slope (M)
4,-1 will be our x1,y1 and -1,4 will be our x2,y2
plug in numbers into formula: 4-(-1)/ -1-4
simplify you get 5/-5
simplify again and your answer is -1!!!
If its wrong im sorry

Answer:

-1

Step-by-step explanation:

Situation: A 15 gram sample of a substance that's a by-product of fireworks has a k-value of 0.1405. N Noe No initial mass (at time 0) N mass at time t k a positive constant that depends on the substance itself and on the units used to measure time t time, in days

Answers

Your answer is 4.9.
Your welcome

Answer: 4.9

Step-by-step explanation:

Hope this helps

PLEASE HELP ASAP! BRAINLIEST TO BEST/RIGHT ANSWER

Answers

I would go with B becuase when dividing by powers you really subtract the numbers

what are the answers to all of these questions?

Answers

we have that

N 11)
a) graph the equation  y=x²-3x-10

using a graph tool
see the attached figure

b) Determine the roots of the equations
the roots of the equations are the values for y=0
x²-3x-10=0
x²-3x-10=(x+2)*(x-5)=0
the roots are
x1=-2
x2=5

see the attached figure problem 11

N 12) what is the value of x in the equation? 
3x²=7x

3x²=7x-------> 3x²-7x=0--------> x*(3x-7)=0

x1=0
3x-7=0------> 3x=7------> x=7/3

the values of x are
x1=0
x2=7/3---> 2.33
see the attached  figure problem 12

N 13) what is the value of x in the equation? 
x²-5x=6----------> x²-5x-6=0
x²-5x-6=0-------> (x+1)*(x-6)=0
the values of x are
x1=-1
x2=6

N 14) what is the value of x in the equation? 
2x²-5x=12--------> 2x²-5x-12=0

using a graph tool
see the attached figure problem N 14
2x²-5x-12=0----------> (x+3/2)*(x-4)=0

the values of x are
x1=-3/2
x2=4



what triangle congruence theorem is needed?

Answers

side side side
**************************************************************


On a circular playground, the distance from its center to the edge of the playground is 35 feet. What is the approximate circumference of the playground?

Answers

the answer would be 16.5

Hope this hels!
The circumference should be 70 feet

The graph of F(x) can be stretched vertically and flipped over the x-axis to produce the graph of G(x). If F(x) = x2, which of the following could be the equation of G(x)?

A. G(x) = 4x2
B. G(x) = -1/4x2
C. G(x) = -4x2
D. G(x) = 1/4x2

Answers

If it is stretched vertically then the answer is between A and C. What is in front of the x^2 must be greater than 1
In other words if y = ax^2 then a must be greater than 1

If it is flipped over the x axis then the answer is C.

Answer:

The correct option is C.

Step-by-step explanation:

The given function is

[tex]F(x)=x^2[/tex]

The transformation of the function is defined as

[tex]G(x)=kF(x)[/tex]

If k>1, then the graph of function F(x) stretched vertically and If 0<k<1, then the graph of function F(x) compressed vertically.

It is given that the graph of F(x) can be stretched vertically, it means the value of k must be greater than 1.

The graph of F(x) is flipped over the x-axis, so the function G(x) is equal to the negative of k times of F(x).

[tex]G(x)=-kF(x)[/tex]

Where must be greater than 1.

In option 3, G(x) is equal to the negative of 4 times of F(x). Only in this option, there is negative relation between F(x) and g(x) with k>1.

[tex]G(x)=-4F(x)[/tex]

Therefore the correct option is C.

A particular computer takes 13 minutes to download a 39​-minute TV show. How long will it take the computer to download a 2​-hour ​movie?

Answers

Final answer:

It will take the computer 40 minutes to download a 2-hour movie based on its current download speed, which is 3 minutes of video per minute of download time.

Explanation:

To answer this question, we first need to establish the download speed of the computer. This can be done by dividing the length of the TV show by the time it takes to download it. In this case, the computer can download 39 minutes of video in 13 minutes, so its download speed is 39/13 = 3 minutes of video per minute of download time.

To find out how long it will take to download a 2-hour movie, we first need to convert the length of the movie to minutes, because our speed is in minutes of video per minute of download time. Two hours is equal to 2*60 = 120 minutes. Therefore to download a 120-minute video, it will take 120/3 = 40 minutes.

Learn more about Download Time here:

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point j has coordinate (-2,8) and point r has coordinates (-7,-3. find the coordinate of point A that partition line segment JR in the ratio of 5:2

Answers

so, the point A cuts jr into a 5:2 ratio, where the pieces of jA and Ar are at a 5:2 ratio, thus

[tex]\bf ~~~~~~~~~~~~\textit{internal division of a line segment} \\\\\\ j(-2,8)\qquad r(-7,-3)\qquad \qquad \stackrel{\textit{ratio from \underline{j} to \underline{r}}}{5:2} \\\\\\ \cfrac{j\underline{A}}{\underline{A} r} = \cfrac{5}{2}\implies \cfrac{j}{r} = \cfrac{5}{2}\implies 2j=5r\implies 2(-2,8)=5(-7,-3)\\\\ -------------------------------[/tex]

[tex]\bf A=\left(\cfrac{\textit{sum of "x" values}}{\textit{sum of ratios}}\quad ,\quad \cfrac{\textit{sum of "y" values}}{\textit{sum of ratios}}\right)\\\\ -------------------------------\\\\ A=\left(\cfrac{(2\cdot -2)+(5\cdot -7)}{5+2}\quad ,\quad \cfrac{(2\cdot 8)+(5\cdot -3)}{5+2}\right) \\\\\\ A=\left(\cfrac{-4-35}{7}~~,~~\cfrac{16-15}{7} \right)\implies A=\left( -\cfrac{39}{7}~~,~~\cfrac{1}{7} \right) \\\\\\ A=\left( -5\frac{4}{7}~~,~~\cfrac{1}{7} \right)[/tex]

Help me please.....
3.you have a mortgage payment of $1,248.90/month. Using proportions, what is the minimum amount you must have in realized income per month to keep your housing expense in the acceptable range?,

Answers

Final answer:

To determine the minimum amount of realized income per month to keep your housing expense in the acceptable range, set up a proportion using 30% of the mortgage payment and solve for x.

Explanation:

To determine the minimum amount of realized income per month to keep your housing expense in the acceptable range, we can use a proportion. Let's assume that the acceptable range for housing expense is 30% of your income.

First, we need to find the total monthly income that corresponds to 30% of the mortgage payment. We can set up a proportion:

x/1248.90 = 30/100

Cross-multiplying, we get:

100x = 30 * 1248.90

Simplifying, we find:

x = (30 * 1248.90)/100 = $374.67

Therefore, the minimum amount you must have in realized income per month to keep your housing expense in the acceptable range is $374.67.

The table below represents the displacement of a bird from its nest as a function of time: time (hours) x displacement from nest (miles) y 0 12 1 20 2 28 3 36 4 44 part
a.what is the y-intercept of the function, and what does this tell you about the bird? part
b.calculate the average rate of change of the function represented by the table between x = 1 to x = 3 hours, and tell what the average rate represents. part
c.what would be the domain of the function if the bird continued to fly at this rate until it traveled 172 miles from the nest?

Answers

Answer: See each part below.

Part A: The y-intercept is the first value, or 12. That means that they bird is 12 miles from its nest when the time started.

Part B: The average rate of change is the slope. From 1 to 3 hours, the bird went from 20 to 36 or 16 miles. 16 miles in 2 hours is the same as 8 miles in 1 hour.

Part C: To find the extent of the domain, write and solve the following equation for 172 miles.
172 = 8x + 12
160 = 8x 
20 = x

The domain will go up to 20 hours.
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