find the slope and the y intercept of the points (0,1) and (2,-3)

Answers

Answer 1

Answer:

The slope is -2 and y intercept is 1

Step-by-step explanation:

The slope is found by finding the run, or change in x coordinates from coordinate 1 to 2, which is 2 in this problem, and the rise, or change in y coordinates from coordinate 1 to 2, which is -4 in this problem. To find the y-intercept, you need to find the point on the line that has a x coordinate of 0, which is (0,1) on this line, which means the y-intercept is the y value of the coordinate, or 1.

Related Questions

1÷2/3 blank 1

I have to figure out if it is < > =

Answers

Answer:

Step-by-step explanation:

Step 1: Define

1÷2/3 ? 1

Step 2: Evaluate 1÷2/3

1÷2/3 = 1 · 3/2 = 3/2

3/2 = 1.5

Step 3: Find

1.5 ? 1

1.5 > 1

the function g(x) represents f(x)=9 cos (x-pi/2)+3 after translating pi/6 units left and 4 units up. which equation represents g(x)?

g(x)= 9 cos (x - 2pi/ 3) -1

g(x)= 9 cos (x - 2pi/3) +7

g(x)= 9 cos (x - pi/3) +7

g(x)= 9 cos (x - pi/3) -1

Answers

Answer:

g(x)= 9 cos (x - [tex]\frac{\pi}{3}[/tex]) +7

Step-by-step explanation:

What is given is f(x) = g cos (x - pi/2) + 3

Note that the standard form of cosine function is a cos (bx + c) + d

a= amplitude

-c/b = phase shift

d = vertical shift

After moving pi/6 to the left --

x = pi/2 - pi/6 = pi/3

once moving pi/6 left, it is at pi/3

moving 4 units up just means adding 4 + 3, and that equals 7, that would be the vertical shift once applied.

So the equation that represents g(x) is C. 9 cos (x - pi/3) + 7

The equation that represents the function g(x) is [tex]g(x)=9 \cos (x- \frac{\pi}{3})+7[/tex]

The function is given as:

[tex]f(x)=9 \cos (x-\frac{\pi}{2})+3[/tex]

The function f(x) is first translated [tex]\frac{\pi}{6}[/tex] units left.

The rule of this translation is:

[tex](x,y) \to (x + \frac{\pi}{6},y)[/tex]

So, we have:

[tex]f'(x)=9 \cos (x+ \frac{\pi}{6}-\frac{\pi}{2})+3[/tex]

Take LCM

[tex]f'(x)=9 \cos (x+ \frac{\pi - 3\pi}{6})+3[/tex]

[tex]f'(x)=9 \cos (x- \frac{2\pi}{6})+3[/tex]

Divide 2 by 6

[tex]f'(x)=9 \cos (x- \frac{\pi}{3})+3[/tex]

Next, we translate f'(x) 4 units up.

The rule of this translation is:

[tex](x,y) \to (x,y+4)[/tex]

So, we have:

[tex]g(x)=9 \cos (x- \frac{\pi}{3})+3 +4[/tex]

[tex]g(x)=9 \cos (x- \frac{\pi}{3})+7[/tex]

Hence, the equation that represents the function g(x) is [tex]g(x)=9 \cos (x- \frac{\pi}{3})+7[/tex]

Read more about function transformation at:

https://brainly.com/question/1548871

I will give Brainliest.
graph the line representing the equation 10x + 12y = 240.

Answers

Answer:

Step-by-step explanation:

10x + 12y = 240 simplified is y= -5/6 +20

The x-intercept is located at ( 24 ,0)

The y-intercept is located at (0, 20)

The slope of the line represented by this equation is -5/6

Answer:

Step-by-step explanation:

An employee at an organic food store is assembling gift baskets for a display. Using wicker baskets, the employee assembled 2 small baskets and 4 large baskets, using a total of 60 pieces of fruit. Using wire baskets, the employee assembled 2 small baskets and 10 large baskets, using a total of 132 pieces of fruit. Assuming that each small basket includes the same amount of fruit, as does every large basket, how many pieces are in each?
The small baskets each include______pieces and the large ones each include_____pieces.

Answers

Answer:12 and 15

Step-by-step explanation:

help help help help help

Answers

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

(5) (-9) (-2)

-45 (-2) = 90

hope this helps

3[25-2(9+3)]=?. Pleaseeeeeeee

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Sorry for the hand writing

Which of the following is the equation for the line perpendicular to the line 3x−2y=10 that passes through the point (7, 5)

Answers

Answer:

the answer is B which is y= -2/3x + 29/3

Step-by-step explanation:

Helppppppppp i will mark you as a Brianlist

Answers

Answer:

I would say 23

Step-by-step explanation:

From 13 to 17 they add 4 then from 17 to 21 they add 4 so 21 plus 4 does not equal 23

Answer:

16, 25, 36

Step-by-step explanation:

there's a lot lol

Calculate the slope between the points (4,5) and (7,9).
a
m=-3/4
b
m=-4/3
С
m=4/3
m=3/4

Answers

Answer:

m = 4/3

Step-by-step explanation:

Slope of line is given by

m = (y2-y1)/(x2-x1)

where

(x1,y1) and (x2,y2) are the two points on coordinate plane.

__________________________________________

Given points

(4,5) and (7,9)

using the above formula to find slope and plugging in the given points value

we have,

slope m = (9-5)/(7-4)

m = 4/3

Thus, slope between the points (4,5) and (7,9) is m = 4/3. The third option.

Evaluate7r -
3
when r=2.5 andq=12.
+6)
A. 3.5
B. 4.5
C. 5.5
D. 7.5

Answers

Answer:

14.5

Step-by-step explanation:

Emmett buys an emerald pendant priced at $527.50. Shipping and handling are an additional 12% of the price. How much shipping and handling will Emmett pay?

Answers

I think that would be $131.80 or round that off

what is the answer?

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Answer:

i think it is 8

Step-by-step explanation:

but i am not sure

8 is the answer :D and yeah

How to solve for x??

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Answer:

Step-by-step explanation:

The sum of a polygon's angles is 180° (n − 2), where n is the number of sides. A hexagon has 6 sides, so the sum of the angles is:

180° (6 − 2) = 720°

Therefore:

720 = 8x − 1 + 5x + 36 + 116 + 7x + 19 + 6x − 2 + 110

720 = 26x + 278

26x = 442

x = 17

Can someone help me with this question

Answers

hi! here is your answer

Answer:

It is SAS congruence criterion

hope it helps you!!

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SAS

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

(( AR )) Side = (( ER )) Side

(( ARK )) Angle = (( ERN )) Angle

(( KR )) Side = (( NR )) Side

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Turn the following fraction into a PERCENT: 15/60

Answers

15/60 simplified is 1/4 so the answer is 25%

If you divide 15 and 60 it will give you .25 which is 25%

Simplify the following expression
- 4p - (1 - 6p)

Answers

Answer:

2p-1

Step-by-step explanation:

Answer:

-2p - 1

Step-by-step explanation:

-4p - (1 - 6p)

-4p - 1 + 6p

-4p + 6p - 1

-2p - 1

Please let me know if I'm wrong!

what is. 1+9.........

Answers

Answer:

uh 10?

Step-by-step explanation:

Answer:

Answers

Answer:

{(2,3), (3,4), (5,1), (6,2), (7,3)}

Step-by-step explanation:

A relation may or may not represent a function.

The relation that is a function is (c) {(2,3), (3,4), (5,1), (6,2), (7,3)}

Relations and functions

For a relation to be considered a function, then the x values must point to different y-values.

The above condition is true for the relation (3).

This is so because all x values in this relation point to different y-values.

Hence, the relation that is a function is (c) {(2,3), (3,4), (5,1), (6,2), (7,3)}

Read more about relations and functions at:

https://brainly.com/question/10283950

[tex] \frac{2 {x}^{3} + 4 {x}^{2} - 5 }{x + 3} [/tex]
I need help with this one.

Answers

2x³ = x • 2x², and

2x² (x + 3) = 2x³ + 6x²

Subtract this from the dividend to get a remainder of

(2x³ + 4x² - 5) - (2x³ + 6x²) = -2x² - 5

-2x² = x • (-2x), and

-2x (x + 3) = -2x² - 6x

Subtract this from the last remainder to get a new one of

(-2x² - 5) - (-2x² - 6x) = 6x - 5

6x = x • 6, and

6 (x + 3) = 6x + 18

This gives a new remainder of

(6x - 5) - (6x + 18) = -23

x does not divide -23, so we're done, leaving us with

[tex]\dfrac{2x^3+4x^2-5}{x+3}=2x^2-2x+6-\dfrac{23}{x+3}[/tex]

Cathy borrows $3280 at 0.3% simple interest per month. When Cathy pays the loan back 9 years later what is the total amount that Cathy ends up repaying

Answers

Answer: this answer makes no sense

Step-by-step explanation:

The following graph shows a proportional relationship

Answers

Answer:

for every 5 units to the right, there is 1 unit up

the slope is y = 1/5

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find the slope and the y intercept of the points (0,1) and (2,-3)​

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find the slope and the y intercept of the points (0,1) and (2,-3)