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Ronch [10]
3 years ago
11

What are the x-intercepts of the graph of the function f(x) = x2 4x – 12? (–6, 0), (2,0) or (–2, –16), (0, –12) or (–6, 0), (–2,

–16), (2, 0) or (0, –12), (–6, 0), (2, 0)
Mathematics
2 answers:
Sergio [31]3 years ago
8 0
Xints are where y=0

0=x^2+4x-12
0=(x-2)(x+6)

x-2=0
x=2

x+6=0
x=-6

(x,y)
xints are
(2,0) and (-6,0)
algol133 years ago
6 0

Answer:

a

Step-by-step explanation:

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8 0
2 years ago
A store owner sells two pairs of running
makvit [3.9K]

<u>Answer:</u>

He will order 72 pairs of high tops

<u>Explanation:</u>

Given the store owner sells two pairs of running shoes for each pair of high tops

For every pair of high tops, he sells 2 pairs of running shoes

1 high top = 2 running shoes

He has planned to order 144 pairs of shoes

Therefore, 144 pair of running shoes = 144/2 = 72 pairs of high tops

Therefore, he will order 72 pairs of high tops

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2 years ago
A surveyor holds a laser range finder 3 feet above the ground and determines that the range finder is 89 feet from a building an
Anna007 [38]
The distance to the top of the building above the range finder can be found from the Pythagorean theorem.
.. d = √(115² -89²) ≈ 72.8 . . . . feet

Adding the height of the range finder, we find the height of the building to be
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8 0
3 years ago
Marsha wants to determine the vertex of the quadratic function f(x) = x2 – x + 2. What is the function’s vertex?
BaLLatris [955]

Answer:

Vertex = (\frac{1}{2},\frac{7}{4})

Step-by-step explanation:

Given

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

Required

The vertex

We have:

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

First, we express the equation as:

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

Where

Vertex = (h,k)

So, we have:

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

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

Take the coefficient of x: -1

Divide by 2: (-1/2)

Square: (-1/2)^2

Add and subtract this to the equation

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

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

f(x) = x^2 - x + (-\frac{1}{2})^2+2  -(-\frac{1}{2})^2

f(x) = x^2 - x + \frac{1}{4}+2  -\frac{1}{4}

Expand

f(x) = x^2 - \frac{1}{2}x- \frac{1}{2}x + \frac{1}{4}+2  -\frac{1}{4}

Factorize

f(x) = x(x - \frac{1}{2})- \frac{1}{2}(x - \frac{1}{2})+2  -\frac{1}{4}

Factor out x - 1/2

f(x) = (x - \frac{1}{2})(x - \frac{1}{2})+2  -\frac{1}{4}

f(x) = (x - \frac{1}{2})^2+2  -\frac{1}{4}

f(x) = (x - \frac{1}{2})^2+ \frac{8 -1 }{4}

f(x) = (x - \frac{1}{2})^2+ \frac{7}{4}

Compare to: f(x) = a(x - h)^2  +k

h = \frac{1}{2}

k = \frac{7}{4}

Hence:

Vertex = (\frac{1}{2},\frac{7}{4})

8 0
3 years ago
Read 2 more answers
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V125BC [204]
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7 0
3 years ago
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