Answer:
<h3>
f(x) = - 3(x + 8)² + 2</h3>
Step-by-step explanation:
f(x) = a(x - h)² + k - the vertex form of the quadratic function with vertex (h, k)
the<u> axis of symmetry</u> at<u> x = -8</u> means h = -8
the <u>maximum height of 2</u> means k = 2
So:
f(x) = a(x - (-8))² + 2
f(x) = a(x + 8)² + 2 - the vertex form of the quadratic function with vertex (-8, 2)
The parabola passing through the point (-7, -1) means that if x = -7 then f(x) = -1
so:
-1 = a(-7 + 8)² + 2
-1 -2 = a(1)² + 2 -2
-3 = a
Threfore:
The vertex form of the parabola which has an axis of symmetry at x = -8, a maximum height of 2, and passes through the point (-7, -1) is:
<u>f(x) = -3(x + 8)² + 2</u>
Answer:
6. 550
7. 70
Step-by-step explanation:
6. 16+28 = 44, 44*25 = 1100 divided by 2 = 550
7. 2.5+3+5.5 = 11, 11+3 = 14, 14*10 = 140 divided by 2 = 70
I believe the solution is x=
.
I hope this helped you out!
Answer:
48 member did not vote
Step-by-step explanation:
32 is 40% of 80
80-32=48
Answer:
7. 5
pizza
8. B
9. 11
inches
10. -12
11. ![\frac{3}{20}](https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B20%7D)
12. 4
Step-by-step explanation:
7. 3
+ 2 ![\frac{1}{8}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B8%7D)
make them mixed fractions:
+ ![\frac{17}{8}](https://tex.z-dn.net/?f=%5Cfrac%7B17%7D%7B8%7D)
get a common denominator by multiplying
by 4:
+ ![\frac{17}{8}](https://tex.z-dn.net/?f=%5Cfrac%7B17%7D%7B8%7D)
add the numerators: ![\frac{45}{8}](https://tex.z-dn.net/?f=%5Cfrac%7B45%7D%7B8%7D)
simplify the fraction by dividing 45 by 8: 5 ![\frac{5}{8}](https://tex.z-dn.net/?f=%5Cfrac%7B5%7D%7B8%7D)
8. 3 x 6 = 18
5 x 6 = 30
7 x 6 = 42
9 x 6 = 54
therefore, y = 6x
9. 5:7 is similar to 8:L
divide 8 by 5: 1 ![\frac{3}{5}](https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B5%7D)
multiply 7 by 1
: 11 ![\frac{1}{5}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B5%7D)
L = 11
inches
10. 5 - 2x = 29
subtract 5 from each side: -2x = 24
divide each side by -2: x = -12
11. fruit = 15%
15% = 15/100
simplify by dividing by 5: ![\frac{3}{20}](https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B20%7D)
12. the y-intercept is where the line crosses the y-axis (the vertical one). the line crosses the y-axis at 4.