Answer:
Step-by-step explanation:
31) Y = -3x² + 18 x -25 = -3*x² + -3*-6x -25
= -3(x² -6x) - 25
( (a-b)² =a² - 2ab + b²; here a = x; 2ab = -6x = -2*x*3; and so b = 3)
= -3(x² -6x + 9 - 9) - 25
{ when we add and subtract 9, the equation will not change}
= -3[(x -3)² - 9] -25
= -3(x - 3)² - (-3)*9 - 25
= -3(x - 3)² + 27 -25
= -3(x - 3)² + 2
32) y= -3x² - 18x - 25
= -3 (x² + 6x )-25
= -3 (x² + 6x + 9 - 9) -25
= -3 [ (x+ 3)² - 9] -25
=-3 (x + 3)² - (-3)*9 - 25
= -3(x + 3)² + 27 - 25
= -3(x+3)² +2
Answer:
1
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
x+24+13=2x−16
x+ 1 2 + 1 3 =2x+ −1 6
(x)+( 1 2 + 1 3 )=2x+ −1 6 (Combine Like Terms)
x+ 5 6 =2x+ −1 6
x+ 5 6 =2x+ −1 6
Step 2: Subtract 2x from both sides.
x+ 5 6 −2x=2x+ −1 6 −2x
−x+ 5 6 = −1 6
Step 3: Subtract 5/6 from both sides.
−x+ 5 6 − 5 6 = −1 6 − 5 6
−x=−1
Step 4: Divide both sides by -1.
−x −1 = −1 −1
x=1
Answer: Equivalent ratios are 8 : 24 and 3 : 9
Explanation: 24 divided 8 equals 3, so 3 times 3 equals 9.
A)y-intercept = 8 slope = up 4 right 4
b)y-intercept = -2 slope = down 2 right 3
It increases then falls, so it is approximately a bell shaped curve.
