D is the answer because 17.10/.45=38 cups so 38*.10=3.80
−10x+5y=10
x−5y=−28
Rewrite equations:
x−5y=−28
−10x+5y=10
Step: Solve:
x−5y=−28
x−5y+5y=−28+5y(Add 5y to both sides)
x=5y−28
Step: Substitute:
−10x+5y=10
−10(5y−28)+5y=10
−45y+280=10(Simplify both sides of the equation)
−45y+280+−280=10+−280(Add -280 to both sides)
−45y=−270
−45y
−45
=
−270
−45
(Divide both sides by -45)
y=6
Step: Substitute:
x=5y−28
x=(5)(6)−28
x=2(Simplify both sides of the equation)
Answer:
x=2 and y=6
Answer:
54 sq units
Step-by-step explanation:
The triangle at the top (FAB) has a base of 10 and a height of 3. Area of triangle is 1/2bh so 1/2(10 * 3) = 1/2 * 30 = 15 sq units
If you cut off the triangle you have a trapezoid, EBCD. A trapezoid is (b1 + b2)/2 * h, so (6 + 7)/2 * 6 = 13/2 * 6 = 6.5 * 6 = 39 sq units
Add them together: 15 + 39 = 54 sq units
The average rate of change from x = -1 to x = 2 is 2
<u>Solution:</u>
Given function is:
f(x) = 2x - 1
We have to find the average rate of change from x = -1 to x = 2
<em><u>The average rate of change is given as:</u></em>
<em><u>The average rate of change from x = -1 to x = 2 is given by formula:</u></em>
<em><u>Find f(2) and f( - 1)</u></em>
<em><u>Substitute x = 2 in given function</u></em>
f(2) = 2(2) - 1 = 4 - 1 = 3
<em><u>Substitute x = -1 in given function</u></em>
f( - 1) = 2(-1) - 1 = -2 - 1 = -3
<em><u>Substitute the values in above formula,</u></em>
Thus average rate of change from x = -1 to x = 2 is 2