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e-lub [12.9K]
4 years ago
15

Write this in y=ax^2+b form: y=(x-5)^2 - 2

Mathematics
2 answers:
erma4kov [3.2K]4 years ago
5 0
y=(x-5)^2-2\\
y=x^2-10x+25-2\\
y=x^2-10x+23

MrMuchimi4 years ago
3 0
Expand (x - 5)^2

(x - 5)^2 = (x - 5)(x - 5)

Multiply all the terms in the first parenthesis to all the terms in the 2nd:

x * x = x^2
x * -5 = -5x
-5 * x = -5x
-5 * -5 = 25

So we have:

x^2 - 5x - 5x + 25

Combine like terms:

x^2 - 10x + 25

Plug it back in:

y = (x - 5)^2 - 2

y = x^2 - 10x + 25 - 2

Combine like terms:

y = x^2 - 10x + 23
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64 percent of 75. what is the answer??????????????????????????
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So, the question asks for 64 % of the number 75, which can also be written as:

64%*75.

64% can also be written as a fraction:

\frac{64}{100}

so the multiplication will be:

\frac{64}{100} *75= \frac{64}{4} *3=16*3=48

so the answer is 48.
4 0
3 years ago
Graph the system of inequalities y > -3, y < -|x+2|. Which two quadrants does the solution lie in?
blsea [12.9K]

Answer:

Quadrants 3 and 4

Step-by-step explanation:

we have

y>-3

y

using a graphing tool

The solution is the triangular shaded area between the three dashed lines

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5 0
4 years ago
Please help thank you
valina [46]
C because I did the mean value theorem and got that as the solution.
6 0
3 years ago
 A line has a Y intercept at 0,4 and an X intercept at 6,0 what is the slope of the line?
Genrish500 [490]

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6 0
3 years ago
Prince Ivan rides gray wolf and a constant speed from kings castle to the magic apple garden in five hours. on the return trip t
Dovator [93]

Answer:

  • 9 km/h or 48 km/h

Step-by-step explanation:

  • <em>Let the distance is </em><em>d</em><em>, speed is </em><em>s</em>

<u>As per given we have:</u>

  • d/s = 5
  • 36/s + (d - 36)/(s + 3) = 5 - 1/4

<u>Substitute d with 5s and solve for s:</u>

  • 36/s + (5s - 36)/(s + 3) = 19/4
  • 36(s + 3) + s(5s - 36) = 19s(s + 3)/4
  • 4(36s + 108 + 5s² - 36s) = 19s² + 57s
  • 20s² + 432 = 19s² + 57s
  • s² - 57s + 432 = 0
  • s² - 9s - 48s + 432 = 0
  • s(s - 9) - 48(s - 9) = 0
  • (s - 9)(s - 48) = 0
  • s -9 = 0 ⇒ s = 9 km/h
  • s - 48 = 0 ⇒ s = 48  km/h

The original speed of grey wolf can be 9 km/h or 48 km/h

3 0
3 years ago
Read 2 more answers
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