Answer:
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Answer:
Given,
2 cups of yellow paint is needed for every 3 cups of red paint to make a batch of orange paint,
So, the ratio of yellow paint and red paint in a batch of orange paint = 2 : 3
Make two number lines,
First one represents the multiple of 2 and second one represents the multiples of 3,
By the double number line ( shown below ),
It is clear that,
For 3 batches of orange paint, 6 cups of yellow paint and 9 cups of red paint are needed.
Answer:
let g be f(x)
g= <u>4</u><u>x</u><u> </u><u>-</u><u>3</u>
. 7
make x the subject
<u>7</u><u>g</u><u> </u><u>+</u><u>3</u><u>. </u> =x
4
the inverse function of f(x) = <u>7</u><u>x</u><u>+</u><u>3</u>
4
Answer:
2
Step-by-step explanation:
To find the scale factor of a dilation, we first find two corresponding sides. For example, the leftmost side of the black shape corresponds with the leftmost side of the blue shape. The side on the black shape measures 2 units while the side on the blue shape measures 4 units.
Now, we divide the length of the side taken from the figure by the length of the side taken from the original shape.
4/2=2
Therefore, the scale factor of the dilation is 2.
I hope this helps!
Answer:
The slope is 1/2 and the y intercept is 7/4
Step-by-step explanation:
2x-4y+7=0
To find the slope, we need to put the equation in slope intercept form
y = mx+b
So we need to solve for y
Subtract 2x from each side
2x-2x-4y+7=0-2x
-4y +7 = -2x
Subtract -7
-4y+7-7 = -2x-7
-4y = -2x-7
Divide by -4
-4y/-4 = -2x/-4 -7/-4
y = 1/2 x +7/4
The slope is 1/2 and the y intercept is 7/4
