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horrorfan [7]
3 years ago
15

Which values of P and Q result in an equation with exactly one solution?

Mathematics
1 answer:
Ratling [72]3 years ago
4 0

Answer:

C. Q=−31, P = -2

Step-by-step explanation:

2x+Q = Px−31

A. Q = −2 and P=2

2x+Q=Px−31

2x - 2 =2x - 31

0x = -29

0 ≠ -29 : NO SOLUTION

B.Q=31 and P=2

2x+Q=Px−31

2x + 31 = 2x - 31

0x = -62

0 ≠ -62 : NO SOLUTION

C. Q=−31, P = -2

2x+Q=Px−31

2x - 31 = -2x - 31

4x = 0

 x = 0 : ONE SOLUTION

D. Q=-31 and P=2

2x+Q=Px−31

2x - 31 = 2x - 31

0x = 0

0 = 0: Infinitely many solutions

Answer:

C. Q=−31, P = -2

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Which are the coordinates of the x-intercept in the equation -4x + 5y = 20?
forsale [732]

Answer:

The x intercept is (-5,0)

Step-by-step explanation:

1. First, it would be helpful to rewrite the equation to be in y=mx+b form.

5y=4x+20

y=(4/5)x+4

2. Then, plug in 0 for y.

0=(4/5)x+4

3. Then, solve.

-4=(4/5)x

-20=4x

x=-5

7 0
3 years ago
What is the reason for each step in the solution of the inequality?
Citrus2011 [14]

step 1: Given

step 2: Distributive Property

step 3: Combine Like terms

step 4: Subtraction Property of Order

step 5: Addition property of order

step 6: Division property of order

Step-by-step explanation:

We are given the inequality: -38-3(x+5)>6x-17

We need to match each step with the reasons.

The given steps are:

1.

−38−3(x+5)>6x−17

So, Reason for step 1: Given

2.

−38−3x−15>6x−17

So, Reason for step 2: Distributive Property

3.

−3x−53>6x−17

So, Reason for step 3: Combine Like terms

4.

−9x−53>−17

So, Reason for step 4: Subtraction Property of Order

5.

−9x>36

So, Reason for step 5: Addition property of order

6.

x<−4

So, Reason for step 6: Division property of order

Keywords: Solving inequalities

Learn more about Solving inequalities at:

  • brainly.com/question/1465430
  • brainly.com/question/6703816
  • brainly.com/question/4192226

#learnwithBrainly

7 0
2 years ago
This is the one!!!!!!!!!!!
sukhopar [10]
All you have to do is move the denominator on the other side, by multiplying.

a-10
------- = -9  
20 

multiply 20 x -9
= -180

then it becomes a-10=-180
                             +10  +10
a=-170
4 0
3 years ago
Read 2 more answers
Find the circumference a circle with the diameter AB<br><br> A (-8,4) and B (4,-1)
Simora [160]

Answer:

<em>C = 13π ≈ 40.82 units </em>

Step-by-step explanation:

C = 2 r π = d π

AB = \sqrt{(-8-4)^2 +(4+1)^2} = 13 units

<em>C = 13π ≈ 40.82 units</em> ( π ≈ 3.14 )

7 0
2 years ago
Heather brought $7.14 to school. She then spent $1.08 to buy lunch. How much money does she have left?
Wewaii [24]

Answer:

6.06

Step-by-step explanation:

Simple subtraction.

5 0
3 years ago
Read 2 more answers
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