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djverab [1.8K]
2 years ago
5

N Line QR goes through points Q(0, 1) and R(2, 7). Which equation represents line QR?

Mathematics
1 answer:
11111nata11111 [884]2 years ago
4 0
Y=3x+1 …………………………………………………..

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What is the equation when y=5x+4 is reflected over the x-axis, y-axis & y=x?
tigry1 [53]

Answer:

A) y=-5x-4

B) y=-5x+4

C) y=\frac{x-4}{5}

Step-by-step explanation:

So we have the equation:

y=5x+4

Let's write this in function notation. Thus:

y=f(x)=5x+4

A)

To flip a function over the x-axis, multiply the function by -1. Thus:

f(x)=5x+4\\-(f(x))=-(5x+4)

Simplify:

-f(x)=-5x-4

B) To flip a function over the y-axis, change the variable x to -x. Thus:

f(x)=5x+4\\f(-x)=5(-x)+4

Simplify:

f(-x)=-5x+4

C) A reflection over the line y=x is synonymous with finding the inverse of the function.

To find the inverse, switch x and f(x) and solve for f(x):

f(x)=5x+4

Switch:

x=5f^{-1}(x)+4

Subtract 4 from both sides:

x-4=5f^{-1}(x)

Divide both sides by 5:

f^{-1}(x)=\frac{x-4}{5}

And we're done :)

7 0
3 years ago
Help me in this math please please
sweet-ann [11.9K]
A. -1 Because you would divide 3x and -6 by 2.

4 0
3 years ago
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If a point inside the rectangle was chosen at random what is the probability that it is on the left side of the center line
Lerok [7]
A center line of a rectangle divides it into 2 equal pieces. Therefore, the chance that the point will be on the left, or the right side for that matter, side of the rectangle is 50%.
5 0
3 years ago
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A cup has a circumference of 28 cm. Approximately what is the diameter?
Ainat [17]

Answer:

The diameter is approximately 8.9 cm

Step-by-step explanation:

The circumference is given by

C = pi *d

28 = pi *d

Divide each side by pi

28/pi = d

We can approximate pi by 3.14

28 /3.14 =d

8.917 = d

The diameter is approximately 8.9 cm

7 0
3 years ago
mary purchased 3 1/2 pounds of bananas. If the loaf of banana bread requires 3/4 pounds of bananas, how many loaves of banana br
nikklg [1K]
For this one a simple way that you can think of it is that 1 pound of banana is equivalent to 100, 3/4 pounds of banana is 75, 1/2 pounds of banana is 50, etc. 

3 1/2 pounds of banana = 350 

3/4 pounds of banana = 75 

If i want to find out how many loafs of banana bread I can make if ONE loaf requires 3/4 pounds of banana, and i have 3 1/2 pounds of banana then I divide:

350 / 75 = 4.66 

So, with 3 1/2 pounds of bananas you can successfully create 4 loafs of banana bread. the remaining .66 is not enough banana to make another loaf. 
8 0
3 years ago
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