Answer:
(7x+2)(3x-1); (5x+4)^2 or (5x+4)(5x+4);
Step-by-step explanation:
formula to find area is L* W = A ; meaning length multiplied by width equals to the area.
21.
using the formula to find area...
l*w=a
(7x+2)(3x-1) would be your answer
btw, don't put the "=a" at the end, since it's an expression :))
22.
since the problem states that it's a square, you can just say either...
(5x+4)^2 or (5x+4)(5x+4) not sure which one your teacher accepts
Answer:
$92.60
Step-by-step explanation:
7($5.99) + 7($6.49)=$41.93
$41.93 + $45.43 = $87.36
$87.36 + ($87.36 × 6%=0.06)
$87.36 + (0.06 × $87.36=5.24)
$87.36 + $5.24= $92.60
Plug h = 3 and g = 27 into the expression:
<h3>Given</h3>
Two positive numbers x and y such that xy = 192
<h3>Find</h3>
The values that minimize x + 3y
<h3>Solution</h3>
y = 192/x . . . . . solve for y
f(x) = x + 3y
f(x) = x + 3(192/x) . . . . . the function we want to minimize
We can find the x that minimizes of f(x) by setting the derivative of f(x) to zero.
... f'(x) = 1 - 576/x² = 0
... 576 = x² . . . . . . . . . . . . multiply by x², add 576
... √576 = x = 24 . . . . . . . take the square root
... y = 192/24 = 8 . . . . . . . find the value of y using the above equation for y
The first number is 24.
The second number is 8.
Answer:
Step-by-step explanation:
Synthetic division is one way to determine whether or not a given number is a root of the quadratic. x^2 − 12x − 20 can be rewritten as x^2 - 12x + 36 - 36 - 20, or (x - 6)^2 - 56, which does not have integer solutions:
(x - 6)^2 - 56 = 0 becomes (x - 6)^2 = 56, which works out to x - 6 = ± 2√14.
None of the possible roots suggested in this problem turns out to be an actual root.
correct response: PRIME