If c is a positive number, how many solutions does √x = c have? Explain.

Answer:

he sum of the first number and the square of the second number is 18. The difference between the square of the second number and twice the first number is 12.

I know the first set of equations would be x+y2=18 and y2−2x=12, and we can get x=2 and y=2 or y=−2.

My question is about how to understand difference when making equations. I know it means subtraction but would you ever use absolute values when making the equation?

For example, if I said the difference between a number x and 7 is 3, then wouldn't there be two answers? I would think of it as |x−7|=3 and then we could get two answers: x=10 and x=4. My rationale is that on the number line, the distance between either of my x values and 7 is 3.

In the quoted question I began with, then I could get the numbers of x=10 and y=22–√ or y=−22–√ but that's only if I did |y2−2x=12| and I don't feel that's right.

Step-by-step explanation:

Answer:

-9=9

Step-by-step explanation:

that the answer I think

Answer:

infinite solution

Step-by-step explanation:

-2 times x is -2x

-2 times 3 is -6

-2 times x is -2x

-2 times 1 is -2

the equation now looks like this:

-2x-6=-2x-2-4

Simplify

-2x-6=-2x-6

0=0

So this is an infinite solution

Hope this helps!

92 because I'm really good at math

The z-scores of the monthly utility bills for the value of x as $60, $71 and $9 are -1.25, 0.125, and 2.25 respectively.

A Z-score helps us to understand how far is the data from the mean. It is a measure of how many times the data is above or below the mean. It is given by the formula,

[tex]Z = \dfrac{X- \mu}{\sigma}[/tex]

Where Z is the Z-score,

X is the data point,

μ is the mean and σ is the standard variable.

As it is given that the standard deviation of the monthly utility bills is $8, while the mean is $70. Therefore, the z-score can be written as,

A.) X= 60

[tex]Z = \dfrac{X- \mu}{\sigma}=\dfrac{60- 70}{8} = -1.25[/tex]

B.) X = 71

[tex]Z = \dfrac{X- \mu}{\sigma} = \dfrac{71- 70}{8}=0.125[/tex]

C.) X = 92

[tex]Z = \dfrac{X- \mu}{\sigma}= \dfrac{92- 70}{8}=2.25[/tex]

Hence, the z-scores of the monthly utility bills for the value of x as $60, $71 and $9 are -1.25, 0.125, and 2.25 respectively.

Learn more about Z-score:

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Answer:

$80.87

Step-by-step explanation:

The cost of supplies would be $80.87 This is because 15.33 • 7 = 107.31 and 188.18 - 107.31 = 80.87

The Monday and Tuesday attendance are illustrations of proportions.

Tuesday's attendance is larger than Monday's 7500

The given parameters are:

[tex]\mathbf{Monday = 4 \times 10^2}[/tex]

[tex]\mathbf{Tuesday = 3 \times 10^6}[/tex]

The number of times (n) the Tuesday attendance is larger than Monday's is:

[tex]\mathbf{n = \frac{Tuesday}{Monday}}[/tex]

So, we have:

[tex]\mathbf{n = \frac{3 \times 10^6}{4 \times 10^2}}[/tex]

[tex]\mathbf{n = 0.75 \times 10^{6-2}}[/tex]

[tex]\mathbf{n = 0.75 \times 10^{4}}[/tex]

[tex]\mathbf{n = 7500}[/tex]

Hence, Tuesday's attendance is larger than Monday's 7500

Read more about proportions at:

https://brainly.com/question/21126582

Answer:

1/2/11

Step-by-step explanation:

1/5×5/10/11=1/5×65/11

=13/11

=1/2/11

Answer:

d

Step-by-step explanation:

Answer:

23 maybe because there is a 90 degree angle

Answer:

sorry sorry for bad hand writing

but u are right it is 153 degree

pls make me brainiliest

Answer:

100

Step-by-step explanation:

y  + 140 = 180   {Linear pair}

y = 180 -  140

y = 40

Given triangle is an isosceles triangle.

x + y + y = 180  {angle sum property of triangle}

x +2y = 180

x +2*40 = 180

x + 80 = 180

x = 180 - 80

x = 100

Answer:

A. 5y = 45.00; y = 9.00

Step-by-step explanation:

Step 1:

There are 5 friends in total and since we don't know how much money each of them contributed to the total amount ($45.00), we will substitute it with the variable y.

So, the amount of money the friends contributed is 5y.

The total amount of all the friends' money put together is given; $45.00.

So 5y = 45.00

______________

Step 2:

Divide 45.00 by 5 to find out how much each of the five friends contributed individually;

45.00 ÷ 5 = 9.00

So the amount of money the each friend contributes individually/ have to spend to buy a present for her individually is $9.00.

y = 9.00

______________

Model it:

5y = 45.00; y = 9.00

______________

Hope this helps! :)

Answer:

The price of the dress was reduced by 25%

Step-by-step explanation:

Answer:

The price for the dress was reduced by 25%.

Step-by-step explanation:

25% of 40 is 10.

40 - 10 = 30, explaining the dress' price reduction from 40 to 30.

Hope this helps!

Answer:

Inequality: 8.25x + 54 = 9.75

Step-by-step explanation:

Why?

It will take 36 hours for David to have as much as Fatima.

David :

Initial saving = 54

Pay per hour = $8.25

While Fatima :

Pay per hour = $9.75

Let number of hours worked = x

David's total = $8.25x + 54

Fatima's total = 9.75x

In other to have the same amount :

8.25x + 54 = 9.75x

The like terms :

8.25x - 9.75x = - 54

-1.5x = - 54

x = - 54 / - 1.5

x = 36

Therefore, it’ll take 36 hours for David to have as much as Fatima.

Answer:

36 hours

Step-by-step explanation:

stay great peepz!

-TinyDiamond

Answer:

Step-by-step explanation:

2 angles are supplementary if their sum is 180 degrees. The larger angle measures eight degrees more than three times the measure of a smaller angle. If x represents the measure of the smaller angle and these two angles are supplementary, find the measure of each angle. I have the answer but do not know how to get it 43 degrees & 137 degrees

Let the smaller angle be x

The larger angle will be 3x+8

X+3x+8=180

4x=180-8=172

X=172/4

X=43

3*43+8= 137

Answer:

[tex]42[/tex]

Step-by-step explanation:

Another way to look at this question is: We make 5/6 yards of fabric from each pair of shorts. How many shorts do we need to make 35 yards of fabric.

So, we need to solve this equation for [tex]x[/tex]: [tex]x*5/6=35[/tex].

We can multiply both sides of the equation by [tex]6[/tex] to get [tex]x*5=210[/tex].

We then divide by [tex]5[/tex] on both sides to get [tex]x=42[/tex].

So, we can make [tex]\boxed{42}[/tex] pairs of soccer shorts.

Answer:

take the square of 1.5then subtract the square of 1.2 to get the square of the Missing side then get it's square root

Step-by-step explanation:

4(a-3)=22

a-3=4-22

a-3=18

a=18+3

a=21

5(x-6)=65

x-6=65-5

x-6=60

×=60+6

x=66

hope it will help u...............

Answer:

a = [tex]\frac{34}{4}[/tex]

x = 19

Step-by-step explanation:

First equation

Expand the brackets

4(a-3) = 22

4a - 12 = 22

Add 12 to both sides

4a - 12 + 12 = 22 + 12

4a = 34

Divide both sides by 4

4a ÷ 4 = [tex]\frac{34}{4}[/tex]

a = [tex]\frac{34}{4}[/tex]

Second equation

Expand the brackets

5(x - 6) = 65

5x - 30 = 65

Add 30 to both sides

5x - 30 + 30 = 65 + 30

5x = 95

Divide both sides by 5:

5x ÷ 5 = 95 ÷ 5

x = 19

Hope this helps!

Answer:

(0,2),(1,6),(−2,−6) are solutions

Answer:

1.7

Step-by-step explanation:

in one hour, the first pump can fill the tank 1/4 of the way

in one hour, the other can fill it 1/3 of the way.

get them to the same denominator.

3/12+4/12=7/12 of the tank in one hour

1÷7/12=12/7=1 5/7=1.7

Answer:

3?

Step-by-step explanation:

Answer:

None because the apples are all poisoned.

Step-by-step explanation:

Answer:

5^4-3

5¹

by law

a^m÷a^n= a^m-n

The equation which relates the height of the flower pot based on the number of pots is 4a + 16

Creating a system of linear equations based on the information given :

4a + b = 32 - - - - - (1)

2a + b = 24 - - - - - (2)

From (2)

2a + b = 24

Make b the subject ;

b = 24 - 2a - - - - (3)

Put b = 24 - 2a in (1)

4a + 24 - 2a = 32

4a - 2a + 24 = 32

2a = 32 - 24

2a = 8

a = 8/2

a = 4

From (3) :

b = 24 - 2(4)

b = 24 - 8

b = 16

The equation which relates the height of a flower pot is 4a + 16

Learn more :https://brainly.com/question/18796573

Answer:

2.378378378

Step-by-step explanation:

rounded it would be 2.4

Answer:

It would be 6.

Step-by-step explanation:

6 halved is 3.

3, then 5 added is 8.

Answer:

1.14 x 10x4

Step-by-step explanation:

thats is correct i just did the test

The graph of the inequality is drawn by placing a shaded circle at 4 as the starting point of ray pointing towards negative infinity

The students that created inequalities with appropriate solution set are;

A. Amanda

D. Diana

Reasons:

Question: The table of the question is presented as follows, and the graph of the inequality is attached

[tex]\begin{array}{|l|l|}\mathbf{\underlie{Amanda}}&-3\cdot x + 5 > -7\\&\\\mathbf{\undrline{Briana}}& \dfrac{1}{2} \cdot (2\cdot x - 4) >2 \\&\\\mathbf{\undrline{Courtney}}&-7\cdot x + 8 > -3 \cdot x +24\\&\\\mathbf{\undrline{Diana}}&9\cdot x - 6 <3 \cdot x+18\end{array}\right][/tex]

Solution:

The inequality with the same solution as the given graph is x < 4

The inequalities created by the students are;

Amanda;

-3·x + 5 > -7

Rearranging the above inequality gives;

-3·x + 5  - 5 > -7 - 5

-3·x > -12

Dividing both sides by (-1) and reversing the inequality sign gives;

[tex]\dfrac{-3 \cdot x}{-3} = x < \dfrac{-12}{-3} = 4[/tex]

x < 4

Therefore;

Briana;

The solution set created by Briana is [tex]\dfrac{1}{2} \cdot (2\cdot x - 4) >2[/tex]

Multiplying both expressions on either side of the equality by 2 gives;

[tex]2\times \dfrac{1}{2} \cdot (2\cdot x - 4) >2\times 2[/tex]

(2·x - 4) > 4

2·x > 4 + 4 = 8

[tex]x > \dfrac{8}{2}[/tex]

Therefore

x > 4

Courtney;

The inequality created by Courtney is -7·x + 8 > -3·x + 24

Rearranging gives;

8 - 24  > -3·x + 7·x

-16 > 4·x

4·x < -16

[tex]x < \dfrac{-16}{4}[/tex]

x < -4

Diana;

Diana's solution is 9·x - 6 < 3·x + 18

Rearranging, we get;

9·x - 3·x  <  18 + 6

6·x < 24

[tex]x < \dfrac{24}{6}[/tex]

x < 4

Therefor;

Therefore, the students that created inequalities with appropriate solution set are;

A. Amanda

D. Diana

Learn more here:

https://brainly.com/question/11829187

Answer:

start with your fahrenheit then Subtract 32 then divide by 1.8

Step-by-step explanation:

Answer:-40 - 180=-220

Step-by-step explanation:

water is 0 so when subtracting it will be negative.

the answer is -220 because of how deep the submarine is.

you will keep subtracting the farther down you go.