Hello!
To solve each expression, you need to substitute the given value for each given variable. If there is an <em>x</em> in the expression, then you substitute 5.07. If there's a <em>y</em>, then you substitute 1.5, and if there's a <em>z</em>, then you substitute 0.403.
7. 3.2x + y (substitute x = 5.07 and y = 1.5)
3.2(5.07) + (1.5)
16.224 + 1.5
17.724
8. yz + x (substitute y = 1.5, z = 0.403, and x = 5.07)
(1.5)(0.403) + (5.07)
0.6045 + 5.07
5.6745
9. z × 7.06 - y (substitute z = 0.403 and y = 1.5)
(0.403) × 7.06 - (1.5)
2.84519 - 1.5
1.34518
<u>Final answers</u>:
- Number 7: 17.724
- Number 8: 5.6745
- Number 9: 1.34518
Answer:
Step-by-step explanation:
(x) = (1100 + x) (100 - .05(x-1100))
This is a quadratic, graphs as a parabola that opens downward. A maximum cam be found.
The zeros of the function are
(1100 + x) = 0 ..... or ..... [100 - .05(x-1100)] = 0
x = -1100 is the left x-intercept.
[100 - .05(x-1100)] = 0
100 = .05(x-1100)
2000 = x - 1100
x = 3100 is the right intercept.
Maximization of profits is at the mid point of the zeros (x-intercepts)
(3100 + -1100)/2 = 1000
1100 + 1000 = 2100 trees should be planted to maximize profits.
f(x) = (1100 + 1000) (100 - .05(1000-1100))
f(x) = (2000) (105) = 220,500 is the maximum profit.
I hope this helps!
Answer:
4a(5a + 1)
Step-by-step explanation:
Given
20a² + 4a ← factor out 4a from each term
= 4a(5a + 1)
Answer:
12
Step-by-step explanation:
First, find out how wide his shelf is in inches. 2.25*12=27. So his shelf is 27 inches wide. Then divide that by 2.25 to find the number of encyclopedias will fit.
