Answer:
y = - 3x² - 24x - 60
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
Here (h, k) = (- 4, - 12 ), thus
y = a(x + 4)² - 12
To calculate a substitute (- 7, - 39) into the equation
- 39 = a(- 7 + 4)² - 12 ( add 12 to both sides )
- 27 = 9a ( divide both sides by 9 )
- 3 = a
y = - 3(x + 4)² - 12 ← in vertex form
Expand (x + 4)²
y = - 3(x² + 8x + 16) - 12
= - 3x² - 24x - 48 - 12
y = - 3x² - 24x - 60 ← in standard form
= - 3(x²
Answer:
Jada error was he multiplied the equation by (-9/4) to make the coefficient of x one. He should have multiplied it by 108
Step-by-step explanation:
Jada solved the equation
-4/9 = x/108
using the steps below:
-4/9 = x/108
(-4/9)(-9/4) = (x/108)(-9/4)
x = -1/48
Jada should have multiplied through by 108, instead of (-4/9). That was the error he made.
Multiplying through by 108 gives
(-4/9)(108) = (x/108)(108)
-48 = x
x = -48
The answer should have been
x = -48
and not
x = -1/48
4 pairs of pants for $18.
Divide price by quantity to get the cost of 1 pair of pants:
18 / 4 = 4.50 per pair.
Divide 27 by 4.50 to find number of pairs:
27 / 4.5 = 6
6 pairs of pants can be cleaned for $27.
Answer:
D) 171 cm²
Step-by-step explanation:
You don’t actually need to decompose it. You could just do it as a trapezoid:
(15+23)/2=19
19x9=171
If you want to decompose it into 2 triangles and a rectangle:
10=15x9=135
1/2(3)(9)=13.5
1/2(5)(9)=22.5
135+13.5+22.5=171 also
The answer is D. The roots are just where the line crosses the y axis.
