Answer: I’m pretty sure its D) 1 1/9
You’ll get your answer by adding +7 to each number.
The answer is 8 ft.
The base area of rectangular prism is: A = l * w = 56 ft²
<span>The length of the base is longer than the width: l > w
The volume of the prism is: V = l * w * h = 840 ft</span>³
<span>The sum of the length and width of the base is equal to the height of the pyramid: l + w = h
So:
</span>l * w = 56
l * w * h = 840
___
56 * h = 840
h = 840 / 56
h = 15 ft
Now, we know that
l + w = 15 ⇒ w = 15 - l
l * w = 56
___
l * (15 - l) = 56
15l - l² = 56
0 = l² - 15l + 56
Or: l² - 15l + 56 = 0
Let's solve the quadratic function:
l = (-b +/-√(b² - 4ac)/(2a)
= (15 +/-√(-15)² - 4 * 1 * 56))/(2*1)
= (15 +/- √(225 - 224))/2
= (15 +/- √1)/2
= (15 +/-1)/2
l = (15+1)/2 = 16/2 = 8
or
l = (15-1)/2 = 14/2 = 7
If l = 8, then w = 15 - 8 = 7. So, l > w
If l = 7, then w = 15 - 7 = 8. So, l < w
Therefore, l = 8 ft.
What percent means x/100.
The word "of" means times.
The word "is" means equals.
So we have x/100 · 60 = 15 or 60x/100 = 15.
The rest of the work is attached below, just solve the equation.
Answer:
x⁴ - x³ + 2x - 6
Step-by-step explanation:
Apparently i cannot write the equation needed so we will call it r(x) and the 2 given equations, a(x) and b(x) respectively
r(x) is the same as a(x) - b(x)
a(x) - b(x)
= x⁴ - 3x² + 5x - 7 -(x³ - 3x² + 3x -1)
= x⁴- x³ + (- 3x² + 3x²) + (5x - 3x) + (- 7 + 1)
= x⁴ - x³ + 2x - 6
