A. 12x+y=6<span>B. −2x+y=6</span>
$8 per yard of fabric
1 yard is equal to 3 feet
8 divided by 3 = 2.67(rounded)
$2.67 per foot of fabric
1 foot is equal to 12 inches
2.67 divided by 12 =0.22(rounded)
1 inch of fabric cost $0.22
Answer:
52 dollars and 47 cents, or 52.47
Step-by-step explanation:
First, multiply 12 and 5.50, then you should get 66.00. Then, take the 25% discount, and divide it by a hundred, you should get 0.25, now multiply 0.25 and 66.00. You should get 16.50, thats your discount, so subtract 16.50 from 66.00, you should get 49.50. Now for the sales tax, divide 6.0 by 100, you should get 0.06. Now multiply 0.06 and 49.50, you should get 2.97, thats your tax, add it to 49.50, and you get 52.47 so BOOM, thats your answer, your welcome
Answer: a) w = -26, -2
b) x = -4, -1
c) k = 17, -1
d) z = 65, 935
Multiple choice: D)
Step-by-step explanation:
a) (w+26)(w+2) = 0
w = -26, w = -2
b) (x+4)(x+1) = 0
x = -4, x = -1
c) (k-17)(k+1) = 0
k = 17, k = -1
d) (z-65)(z-935) = 0
z = 65, x z 935
Multiple Choice
D)
Multiply all terms by 2.
<h2><u><em>PLEASE MARK AS BRAINLIEST!</em></u></h2>
If
<em>f(x)</em> = <em>ax</em> ³ + <em>bx</em> ² - 5<em>x</em> + 9
then
<em>f '(x)</em> = 3<em>ax </em>² + 2<em>bx</em> - 5
Given that <em>f</em> (-1) = 12 and <em>f</em> '(-1) = 3, we get the system of equations
-<em>a</em> + <em>b</em> + 5 + 9 = 12
3<em>a</em> - 2<em>b</em> - 5 = 3
or
-<em>a</em> + <em>b</em> = -2
3<em>a</em> - 2<em>b</em> = 8
Multiply through the first equation by 2 and add it to the second one to eliminate <em>b</em> and solve for <em>a</em> :
2(-<em>a</em> + <em>b</em>) + (3<em>a</em> - 2<em>b</em>) = 2(-2) + 8
-2<em>a</em> + 2<em>b</em> + 3<em>a</em> - 2<em>b</em> = -4 + 8
<em>a</em> = 4
Substitute this into the first equation above to solve for <em>b</em> :
-4 + <em>b</em> = -2
<em>b</em> = 2
