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Nonamiya [84]
3 years ago
13

Write an absolute value equation that has the given solutions -4 and 4

Mathematics
1 answer:
USPshnik [31]3 years ago
3 0

Answer:

If the question is |-4| + 4 then the answer would be 8. All abosolute values are always positive.

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Explain how to write a quadratic equation given the following three points on the graph (5,31) (3,11) (0,11)
masha68 [24]

Given:

The graph of a quadratic function passes through the points (5,31) (3,11) (0,11).

To find:

The equation of the quadratic function.

Solution:

A quadratic function is defined as:

y=ax^2+bx+c            ...(i)

It is passes through the point (0,11). So, substitute x=0,y=11 in (i).

11=a(0)^2+b(0)+c

11=c

Putting c=11 in (i), we get

y=ax^2+bx+11               ...(ii)

The quadratic function passes through the point (5,31). So, substitute x=5,y=31 in (ii).

31=a(5)^2+b(5)+11

31-11=a(25)+5b

20=25a+5b

Divide both sides by 5.

4=5a+b                  ...(iii)

The quadratic function passes through the point (3,11). So, substitute x=3,y=11 in (ii).

11=a(3)^2+b(3)+11

11-11=a(9)+3b

0=9a+3b

Divide both sides by 3.

0=3a+b                 ...(iv)

Subtracting (iv) from (iii), we get

4-0=5a+b-3a-b

4=2a

\dfrac{4}{2}=a

2=a

Putting a=2 in (iv), we get

0=3(2)+b

0=6+b

-6=b

Putting a=2,b=-6 in (ii), we get

y=(2)x^2+(-6)x+11

y=2x^2-6x+11

Therefore, the required quadratic equation is y=2x^2-6x+11.

7 0
3 years ago
Write a point slope form of the line that passes through (6,1) and it is parallel to a line with a slope of -3
Dafna1 [17]

Answer:

Step-by-step explanation:

y - 1 = -3(x - 6)

8 0
3 years ago
What are tree diagrams? How can we use them in real life?
Phoenix [80]

Answer:

You can use tree diagrams to find the probability of something

3 0
3 years ago
Read 2 more answers
Jim earns $41.25 in 5 hours. Susan earns $30.00 in 4 hours. Pierre's hourly rate is less than Jim's, but more than Susan's. What
IceJOKER [234]
<h2>Answer: Pierre's hourly rate is less than $8.25 but more than $7.50</h2>

<h2>Step-by-step explanation: You have to divide 41.25 by 5, which is 8.25, then you divide 30 by 4 to get 7.5</h2>

3 0
3 years ago
Ray AT bisects ZMAR If mZMAT= (6x-4) and mZRAT = (2x+8)", what is the mZMAR
telo118 [61]

The measure of m<MAR= 28 de

<h3>What is angle bisector?</h3>

Angle bisector in geometry refers to a line that splits an angle into two equal angles. Bisector means the thing that bisects a shape or an object into two equal parts.

Given:

AT bisects <MAR

and, m<MAT= (6x-4) and and m<RAT = (2x+8)

As, <MAR is bisected by ray AT.

So,

<MAT = <RAT

6x-4= 2x+8

6x- 2x = 8+4

4x = 12

x= 3

So, <MAT = 6x-4= 6*3-4= 14

and, <RAT = 2x+8 = 14

Hence, MAR= <MAT + <RAT = 14+14=28

Learn more about angle bisector here:

brainly.com/question/28557178

#SPJ4

6 0
2 years ago
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