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Levart [38]
3 years ago
5

What is the vertex of the graph of f(x) = |x 3| 7? (3, 7) (7, 3) (–3, 7) (7, –3).

Mathematics
2 answers:
KatRina [158]3 years ago
5 0

The vertex of the given modulus function is (3,-7).

Given information:

The given modulus function is,

f(x)=|x-3|-7

It is required to find the vertex of the given function.

<h3>What is the vertex of a modulus function?</h3>

Modulus function is in the shape of V. The notch of V is the vertex of the function.

The given function can be defined as,

f(x)=x-10;x\geq3\\&#10;f(x)=-x-4;x

From the above function, it can be concluded that the vertex of the function should be (3,-7). Also shown in the attached image.

See the attached image.

Therefore, the vertex of the given modulus function is (3,-7).

For more details about modulus function, refer to the link:

brainly.com/question/18793028

marshall27 [118]3 years ago
5 0

The vertex of the graph of f(x) is (-3, 7).

<h2>Given that</h2>

Graph; \rm  f(x) = |x + 3| + 7

<h3>We have to determine</h3>

What is the vertex of the graph of f(x)?

According to the question

The standard form of the absolute value function is;

\rm y = a|x-h|+k

Where h and k are the vertexes of the function.

Graph; \rm  f(x) = |x + 3| + 7

Converting the equation into the standard form the absolute value function;

\rm  f(X)=|x + 3| + 7\\&#10;\\&#10;f(x) = |x-(-3)|+7

On comparing with the standard absolute value function the vertices of the graph f(x).

h = -3 and k = 7

Hence, the vertex of the graph of f(x) is (-3, 7).

To know more about Absolute Function click the link given below.

brainly.com/question/1883473

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Answer:

-3

Step-by-step explanation:

parallel lines have congruent slopes. since p is congruent to q, then its slope is also -3

4 0
3 years ago
5)Write an algebraic equation for each statement, and then SOLVE for x
Andrei [34K]

Answer:

Step-by-step explanation:

1. x+6=14

  14-6=8

  x=8

2. 15/x=3

   15/3=x

   x=5

3. 7*x=56

   56/7=8

   x=8

4. x^2-4=12

  x=4, x=-4

5. 1/4x=10

  x/4 = 10

  x = 40

6. 3x-9=18

    x=9

7. 1/2x-10=14

   x/2-10=14

   x=48

8.x/8=9

   8*9=72

  x=72

9.2x+3=24

   2x=21

 x=21/2

10.20*x=140

   140/20=7

   x=7

8 0
3 years ago
The distance from Caleb's house to the school is 1.5 miles, and the distance from Ashley's house to the school is 3520 feet. Who
lapo4ka [179]

Hi there!

To solve this problem, first we need to convert everything into feet.

1.5 mi = 7920 ft

Since
7920 is greater than 3520,

Ashley lives closer to the school.

Hope this helps!
4 0
3 years ago
The circular play area has a diameter of 16 ft. There is a walkway that surrounds the play area is 3' wide. What is the area of
Monica [59]

Answer: 179 sq. feet

Step-by-step explanation:

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5 0
3 years ago
15% of 9 dollars is how many dollars
Ket [755]
  9 .............. 100%
  x................ 15%

100x = 15 . 9
100x =  135
x = <u>135</u>
      100
x = 1,35


6 0
3 years ago
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