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Evgesh-ka [11]
3 years ago
7

Use the parabola tool to graph the quadratic function f(x)=−x2+4. Graph the parabola by first plotting its vertex and then plott

ing a second point on the parabola.
Mathematics
1 answer:
Agata [3.3K]3 years ago
3 0

Answer:

see below

Step-by-step explanation:

f(x) = -x^2 +4

The vertex form is

y = a(x-h)^2 +k

Rewriting

f(x) = -(x-0)^2 +4

The vertex is (0,4) and a = -1

Since a is negative we know the parabola opens downward

f(x) = -(x^2 -4)

We can find the zeros

0 = -(x^2 -2^2)

This is the difference of squares

0 = -(x-2)(x+2)

Using the zero product property

x-2 =0   x+2 =0

x=2   x=-2

(2,0)  (-2,0) are the zeros of the parabola and 2 other points on the parabola

We have the maximum ( vertex) and the zeros and know that it opens downward, we can graph the parabola

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Kyle’s bank statement shows a balance of –$18.50. Which describes the magnitude, or size, of the debt in dollars?
oksano4ka [1.4K]

Answer:

C. $18.50.

Step-by-step explanation:

We have been given that Kyle’s bank statement shows a balance of –$18.50. We are asked to determine the magnitude, or size, of the debt in dollars.

We know that the magnitude of a negative number is absolute value of negative number.

\text{Magnitude of debt in dollars}=|-\$18.50|

Since absolute value of a negative number is opposite of the number.

\text{Magnitude of debt in dollars}=-(-\$18.50)=\$18.50

Therefore, option C is the correct choice.

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3 years ago
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What is the area of polygon XYZ?
Alex_Xolod [135]

Answer:

B. 36 square units

Step-by-step explanation:

This is a triangle and to calculate the area of a triangle we multiply height with base and that divided by two

The height of this triangle is 8 units and the base is 9 units

9 × 8 ÷ 2 = 36 square units

6 0
2 years ago
Find the slope of the line connecting the point (4,8) to the point (8,12)
Katen [24]

Answer: 8/8

Step-by-step explanation:

6 0
3 years ago
V+8w=4v,for v<br><br> -m+5n=-2, for n
jok3333 [9.3K]

Answer:

  • v = 8w/3,
  • n = (m - 2)/5.

---------------------------

<h3>Given equations</h3>
  • v + 8w = 4v and - m + 5n = - 2

<h3>Solve the first equation for v</h3>
  • v + 8w = 4v
  • 4v - v = 8w
  • 3v = 8w
  • v = 8w/3

<h3>Solve the second equation for n</h3>
  • - m + 5n = - 2
  • 5n = m - 2
  • n = (m - 2)/5
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1 year ago
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there are 60 minutes per hour

99/60 = 1.65 km per minute

1.65 x 2 = 3.3 km in 2 minutes

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