which value for the constant c makes z =-5/4 an extraneous solution in the following equation?
[tex] \sqrt{4z + 9} = cz + 8[/tex]


Answers

Answer 1

Answer:

c=8

Step-by-step explanation:

Answer 2

The value of c that makes z = -5/4 an extraneous solution is c = 24/5.

What is the Linear equation?

A linear equation is defined as an equation in which the highest power of the variable is always one.

The equation is given as:

√{4z + 9} = cz + 8

An extraneous solution is a solution that is not a valid solution to the original equation, but it is obtained during the process of solving the equation. In this case, the extraneous solution is z = -5/4.

To determine the value of c that makes z = -5/4 an extraneous solution, we can substitute -5/4 for z in the original equation. This gives us the following:

√{4 × -5/4 + 9} = -5/4 × c + 8

√{-5 + 9} = -5/4 × c + 8

√4 = -5/4 × c + 8

2 = -5/4 × c + 8

5/4 × c =  8 - 2

5/4 × c = 6

c = 6 × 4/5

c = 24/5

Therefore, the value of c that makes z = -5/4 an extraneous solution is c = 24/5.

Learn more about the equations here:

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how many minutes of practice does one picture represent
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Answers

Answer:

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Step-by-step explanation:

Can u add a image? I can't help if I can't see the question.

ILL MARK U BRAINLIEST
A recipe says to use 6 cups of flour to make 36 Crazy Cupcakes. What is the constant of proportionality that relates the number of cupcakes made, y, to the number of cups of flour used, x?

a. 6
b.1.5
c.12
d. 36

Answers

Answer: the answer is

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Jill weighs 15 lbs. Less than Ken. Pete weighs 50 lbs. More than Jill. Eddie weighs 18 lbs. Less than Pete. How much does each weight, if the sum of their weights is 597?

Answers

Answer:

Jill  = 125lb

Pete = 175lb

Eddie = 157lb

Ken = 140lb

Step-by-step explanation:

Given

Represent Jill with J; Ken with K; Pete with P and Eddie with E

[tex]J = K - 15[/tex]

[tex]P = 50 +J[/tex]

[tex]E = P - 18[/tex]

[tex]J + K + P + E = 597[/tex]

Required

Determine the weight of each

Substitute 50 + J for P in [tex]E = P - 18[/tex]

[tex]E = 50 + J - 18[/tex]

[tex]E = J + 50 - 18[/tex]

[tex]E = J + 32[/tex]

Make K the subject in [tex]J = K - 15[/tex]

[tex]K = J + 15[/tex]

Substitute [tex]K = J + 15[/tex], [tex]E = J + 32[/tex], [tex]P = 50 +J[/tex] in [tex]J + K + P + E = 597[/tex]

[tex]J + J + 15 + 50 + J + J + 32 = 597[/tex]

Collect Like Terms

[tex]J + J +J + J = 597 - 32 - 50 - 15[/tex]

[tex]4J = 500[/tex]

[tex]J = 500/4[/tex]

[tex]J = 125lb[/tex]

Substitute 125 for J in [tex]P = 50 +J[/tex]

[tex]P = 50 + 125[/tex]

[tex]P = 175lb[/tex]

Substitute 175 for P in [tex]E = P - 18[/tex]

[tex]E = 175 - 18[/tex]

[tex]E = 157[/tex]

Substitute 125 for J in [tex]K = J + 15[/tex]

[tex]K = 125 + 15[/tex]

[tex]K = 140[/tex]

write the in independent variable and the dependent and an equation pls help I will cash app you 20$

1) To fix a car, Fix-it Auto charges a base fee of $20 plus $40 per hour.


2) The cost of a banquet at Jean’s Banquet Hall is $450 for the rental of the hall and $15 per guest.


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Answers

Answer:

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Step-by-step explanat

Complete the equation for the horizontal line that passes through (5.-7).

Answers

Answer:

it would be y= -7

Step-by-step explanation:

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Answers

Answer: -2, 2

Step-by-step explanation:

0 = 5x^2 -20

0 = 5(x^2 -4)

0 = 5(x - 2)(x + 2)

0 = x - 2

2 = x

0 = x + 2

-2 = x

Find the difference: 5.68 -
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Answers

Answer:

THE ANSWER FOR THIS QUESTION IS 9.17

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Answer: $10

Step-by-step explanation:

So she's spending the money:

150.55 - 45.76 = 104.79

104.79 - 35.00 = 69.79

69.79 - 79.82 = -10.03

After she adds the 20.03 into her bank account, she now has $10

Triangle DEF and triangle PQR are similar and have the same orientation. The hypotenuse of triangle PQR is on the same line as the hypotenuse of triangle DEF and is one-third the length of DF.What is the equation of the line that the hypotenuse of triangle PQR lies on? Y = x + On the hypotenuse of triangle PQR, if coordinate P is at point (2, -4), then coordinate R is at point ( , ).

Answers

Answer:

y= -2x and (3,-6)

Step-by-step explanation:

h

Simplify (3a^4-2a^2+5-10)-(2a^4+4a^2+5a-2)

Answers

Answer:

Step-by-step explanation:

3a^4 -2a^2 + 5 - 10 -(2a^4 +4a^2 + 5a -2)

as given.. i'm wondering if the 5 in the first group is really 5a.. hmmm

I'm guessing that it is...  soooo distribute the minus sign

= 3a^4 - 2a^2 +5a -10  -2a^4 -4a^2 -5a +2

= a^4 -6a^2 -8   :)  voila that's your answer

1 What is the RANGE for the following graph?

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Answers

Answer:

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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A parents wants to give a birthday party at Chucky Cheese. The cost is $50 plus $10 for every guest. Define the variables for the function and Identify the independent and dependent variables. Explain how you know If this a discrete or continuous function

Answers

Answer:

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How many solutions does the following equation have ?
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Choose 1 answer:
No solutions
B
Exactly one solution
С
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Answers

Answer:Exactly one solution.

Step-by-step explanation:

- 32 +9 – 2x = -12 – 5x

1.Add numbers

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2.Rearrange terms

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9.Simplify and Solution

x= [tex]\frac{11}{3}[/tex]

Jenna wants to use all 62 feet of the fencing she has to make a rectangular run for her dog. She decides to make the length of the run 20 feet. She right and solve the equation

Answers

Answer:

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Step-by-step explanation:

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Answers

Answer: 1/4 and thats 25%

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Answers

lol, that would be biology

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I=315
IIII
III
II
I
II
III
IIII

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Answers

Answer:

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Step-by-step explanation:

15s-100=350

15s=350+100

15s=450

s=450/15

s=30

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Answers

Answer:

x= 14/15

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

2x−13−3x4=562x+−13+−34x=56(2x+−34x)+(−13)=56

(Combine Like Terms)

54x+−13=5654x+−13=56

Step 2: Add 1/3 to both sides.

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Answers

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Answer: Mom bought 10 chickens

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Answer:

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In an effort to save money, Zoe decides to cut back on the number of meals she eats at restaurants each month. She tracks the
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O
1
2
3
4
5 6 7 8 9 10 11 12 13 14 15
Number of Meals
Which statement about the data is true?
0
The data is skewed left with an outlier.
a
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The data is skewed right with an outlier.
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Answers

Answer:

The data is skewed left with an outlier.

Explanation:

Skewness occurs when the entries of the data set are either distributed more to the left or more to the right on the number line. In this case, most of the entries lie to the right, so the data set is skewed left.

Answer please You feeling lucky punk

Answers

Answer:

Final velocity is 3

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Answers

Answer:

123

Step-by-step explanation:

Answer:

temperature of 5° C above 0° C

Step-by-step explanation:

Help plz:):):):):)):):):):):)

Answers

Answer:

The answer is 60%

Step-by-step explanation:

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Given: x + 2 < -5.
Choose the solution set.
{x | x R, x < -3}
{x | x R, x < 3}
{x | x R, x < -7}
{x | x R, x < 7}

Answers

Answer:

the third one

Step-by-step explanation:

x+2<-5

x<-5-2

x<-7

ANWSER: X | x R, x -7

Step by step explanation;

x+2<-5

Subtract 2 from both sides

X+2-2 < -5 -2

Simplify

X < -7

I’m pretty sure

Here are the ingredients needed to make 20 cookies.
Cookies
Ingredients to make 20 cookies.
250 g butter
120 g caster sugar
300 g flour
Sam is going to make some cookies.
She has these ingredients.
625 g butter 360 g caster sugar 1000 g flour
Work out the greatest number of cookies that Sam can make with her ingredients.
You must show your working.

Answers

Answer:

50

Step-by-step explanation:

because 250 g = 20 cookies

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Answers

Answer:

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Step-by-step explanation:

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Answer:

4p

Step-by-step explanation:

i want branliest please

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Answers

Answer:

[tex] \frac{y - 4}{x - ( - 3)} = \frac{8 - 4}{2 - (- 3)} \\ \frac{y - 4}{x + 3} = \frac{4}{5} \\ 5(y - 4) = 4(x + 3) \\ 5y - 20 = 4x + 12 \\ \boxed{4x - 5y + 32 = 0}[/tex]

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