how to solve
[tex] \sqrt{4} x {}^{2} = x + 2[/tex]

Answers

Answer 1

Answer:

➩ [tex]x=2,-\frac{2}{3}[/tex]

Step-by-step explanation:

[tex]\sqrt{4x^2}=x+2[/tex]

➨ We can also solve by completing both squares, however. Since we can pull out the square root.

[tex]\sqrt{4x^2}=|2x|[/tex] ➩ Define of Absolute Value/Square Root

➩ [tex]\sqrt{x^2}=|x|[/tex]

Thus, our new equation is ➩ [tex]|2x|=x+2[/tex]

To solve an absolute-value equation, let there be two conditions.

➨ Where x ≥ 0

[tex]2x=x+2\\[/tex]

Move x to another side

[tex]2x-x=2\\x=2[/tex]

➨ Where x < 0

[tex]-2x=x+2\\-2x-x=2\\-3x=2\\x=\frac{2}{-3}\\x=-\frac{2}{3}[/tex]


Related Questions

5,680÷80=
WITH REMAINDER
NO CALCULATOR IT WILL NOT WORK

Answers

Answer:

71

Step-by-step explanation:

i used my calculator :D

71 is answer
Verified ( not by calculator )

Eddie compared prices of two auto-rental agencies for the use of a mid-size auto for one week. Right Price Auto charged a flat fee of $386 plus 20¢ per mile driven. EconoCar charged a flat fee of $344 plus 35¢ per mile driven. Which equation should he use to determine the distance in miles, m, that would make the total charges of both auto-rental agencies equal?​

Answers

Answer:

What are the options?

Step-by-step explanation:

Answer: I would help you but I do no know the answer to this either and I will help you later have a nice day

Step-by-step explanation:

Whats the slope of (6,0) and (2,-2)

Answers

A. /3/2



Is the answer.

Can someone help me please

Answers

Answer:

D

Step-by-step explanation:

The answes D kiddo cuz

10 x 3 = 30 and 17 x 3 = 51

D is the correct answer

On a bank account of $1,600, how much yearly interest will be paid
if the rate is 5%?

Answers

5,296.33. Is the answer I got when I used this calculator

Answer:

Step-by-step explanation:

if in the bank account is 1600 dollars

the rate is 5%

1600*5%=80 dollars

FG is the geometric mean of which two segments

Answers

Answer:

EG and GH

Step-by-step explanation:

FG is the geometric mean of EG and GH segments.

FG is the geometric mean of EG and GH by using the Right triangle altitude theorem.

Important information:

The given figure of a triangle EFH.Right triangle altitude theorem:

According to the Right triangle altitude theorem, if an altitude is drawn on the hypotenuse of a right triangle, then the altitude of a right triangle is the geometric mean of the two segments of the hypotenuse.

From the given figure it is clear that,

Triangle EFH is a right triangle because angle F is a right angle.FG is the altitude on the hypotenuse.Two segments of the hypotenuse are EG and GH.

Using the Right triangle altitude theorem, we get FG is the geometric mean of EG and GH.

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I need some help with this.

Answers

Answer:

b is 16 d is 13

Step-by-step explanation:

ok is a baby girl that can I be happy

Raquel is at an arcade. She bought 8 tickets, and each game requires 2 tickets. -Write two equivalent expressions that gives the number of tickets Maddy has left in terms of x, the number of games she has already played.

Answers

2x=8
And
8 divided by 2 = x

Answer:

raquel can only play 4 games

so 2x4=x=8

or 8 divided by  4 is x=2

Step-by-step explanation:

9. The diameter of the Earth is 7899.83 miles from the North Pole to the South Pole and 7926.41 miles from opposite points at the equator.
a. Find the approximate surface area of Earth using each measure.
b. About 75% of Earth's surface is covered by water. Find the surface area of water on Earth, using the diameter of the Earth is 7926.41 miles from opposite points at the equator.​

Answers

Answer:

We could think of the Earth as a sphere, where the diameter of this sphere will the mean diameter between the measure from the North pole to the Soth pole and the measure from opposite points of the equator.

Remember that the mean between two numbers A and B is:

Mean = (A + B)/2

In this case, the mean diameter will be:

D = (7,899.83mi + 7,926.41mi)/2 = 7,913.115 mi

And we know that the surface of a sphere of diameter D is:

S = 4*pi*(D/2)^2

Where pi = 3.14

Then the surface of the Earth will be something like:

S = 4*3.14*(7,913.115mi/2)^2 = 196,618,601.47 mi^2

b) We know that 75% of the Earth's surface is water, now we will use the diameter 7,926.41 mi to compute the surface.

First, the total surface of the Earth will be:

S = 4*3.14*(7,926.41mi/2)^2 = 197,279,843.03 mi^2

And 75% of this is water, then the total water surface is 0.75 times that area, this is:

water surface = 0.75*197,279,843.03 mi^2 = 147,959,882.27 mi^2

Which statement is true about the value of |-5|? It is the distance that -5 is form 0 on the number line. It is the distance that -5 from 5 on the number line. It is less than 5. It is greater than 5.

Answers

Answer: It is the distance that -5 is form 0 on the number line

Step-by-step explanation:

We can define the absolute value of any number:

IxI as:

"The distance between the point x and the origin in the coordinate axis"

If we are in one dimension, x is just a value, and the coordinate axis will be a number line.

Then we could rewrite this as:

"is the distance between the value x and the 0 in the number line"

So:

IxI = x if x > 0

IxI = -x if x < 0.

Then:

I -5 I

Is the distance between the number -5, and the 0 in the number line, and this is:

I - 5 I = 5.

The correct option is:

"It is the distance that -5 is form 0 on the number line"

Answer:

Answer: It is the distance that -5 is form 0 on the number line

Step-by-step explanation:

Evaluate f(x) = 4 - 5x for f(-2)
*

Answers

Answer: the answer would be X E R

Step-by-step explanation:

I needs help please and tank chu

Answers

9514 1404 393

Answer:

  C  {2, 4, 9, 16}

Step-by-step explanation:

The domain is the list of numbers at the tails of the arrows.

The range is the list of numbers at the heads of the arrows: {2, 4, 9, 16}.

If the relative frequencies are 0.48 and 0.52, which
conclusion is most likely supported by the data?
O There is likely an association between the
categorical variables because the relative
frequencies are similar in value.
O An association cannot be determined between the
categorical variables because the relative
frequencies are similar in value.
O An association cannot be determined between the
categorical variables because the relative
frequencies are not similar in value.
O There is likely an association between the
categorical variables because the relative
frequencies are both close to 0.50.

Answers

Answer:The Last One

Step-by-step explanation:

Option (B) an association cannot be determined between the categorical variables because the relative frequencies are similar in value is the correct answer.

What is relative frequency?

The relative frequency of an event is defined as the number of times that the event occurs during experimental trials, divided by the total number of trials conducted. The sum of all relative frequencies will be one.

For the given situation,

The relative frequencies are 0.48 and 0.52.

A two-way frequency table can be used to show, analyze, and examine the relationships that exists between two categorical variables.

The two relative frequencies have the values that are similar to (close to) each other. So, there will be no association between the categorical values.

Hence we can conclude that option (B) an association cannot be determined between the categorical variables because the relative frequencies are similar in value is the correct answer.

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What is the slope of the line that passes through the following points:
(4,-3), (-5,10)

Answers

the slope is -13/9
hope this helped

Answer:

13/-9

Step-by-step explanation:

Juan is three times as old as Gabe and Gabe is six years older than Catherine. If the sum of their ages is 149, how old is each person? Define a variable, write an equation, solve the equation, and answer in a complete sentence. (Remember to clearly show your work on your work page.)

Answers

Answer:

Juan = 93 years.

Gabe = 31 years.

Catherine = 25 years.

Step-by-step explanation:

Let the age of Juan = J

Let the age of Gabe = G

Let the age of Catherine = C

Translating the word problem into an algebraic equation, we have;

[tex] J = 3G[/tex] ..........equation 1

[tex] G = C + 6 [/tex] ........equation 2

[tex] J + G + C = 149 [/tex] ........equation 3

We would solve the linear equations by using the substitution method;

Substituting equation 2 into equation 1;

[tex] J = 3(C + 6)[/tex]

[tex] J = 3C + 18[/tex] ........equation 4

Substituting equation 2 and equation 4 into equation 3;

[tex] (3C + 18) + (C + 6) + C = 149 [/tex]

Simplifying the equation, we have;

[tex] 5C + 24 = 149[/tex]

[tex] 5C = 149 - 24[/tex]

[tex] 5C = 125[/tex]

[tex] C = \frac {125}{5}[/tex]

C = 25 years.

To find G; from equation 2

[tex] G = C + 6[/tex]

Substituting the value of "C" into equation 2, we have;

[tex] G = 25 + 6[/tex]

G = 31 years.

To find J; from equation 1

[tex] J = 3G [/tex]

Substituting the value of "G" into equation 1, we have;

[tex] J = 3 * 31[/tex]

J = 93 years.

Therefore, Juan is 93 years old, Gabe is 31 years old and Catherine is 25 years old.

this one alsooooooooo

Answers

I believe the answer is segment FD

Answer:

the answer is cd

Step-by-step explanation:

Please help its 99 points! I just need to write as an equation to represent a function PLEASE!.
Number of Miles |2|, |4|, |6|, |8|
Total Cost: .60, 1.20, 1.80, 2.50

1. Write an equation to represent the function.

Answers

Answer:

Step-by-step explanation:

i think the last number 2.50 is wrong, maybe is 2.4

total cost= 0.30 x number of miles

for the first 0.30*2=0.60

second 0.30*4=1.20

and so on

Answer:

.60 ÷ 2 = 0.3

1.20 ÷ 4 = 0.3

1.80 ÷ 6 = 0.3

2.50 ÷ 8 = 0.3125 so round it, and it equals 0.3

So are equation would be y ÷ x = 0.3

Which number represents 50% of 74?
35
37
38
39

Answers

Answer: 37!!!

Step-by-step explanation:

1. 50% equals .5 in decimal form.

When converting a percentage to decimal, divide by 100 or move the decimal point to the left twice.

2. The word of means multiply so we multiply .5 by 74.

3. We get 37!

hope this helped, brainliest plsss :))))

I was the first one!

37! 7+7=14 and carry the one over so 3+3+1=7 so 50% of 74 is 37

WHICH OF THE FOLLOWING IS THE SLOPE?

Answers

i think it’s answer d

Use the function g(x) = -5x + 17 to answer the questions.
Part B
What is g(-5)?
a
-60
b
--8
с
12
42

Answers

Answer:

42

Step-by-step explanation:

g(-5)=-5.-5+17

=25+17

=42

Answer:

42

Step-by-step explanation:

g(x) = -5x+ 17

g(-5) = -5 × -5 +17

g(-5) = 42

Find the total cost of buying a product that cost $12 if it is 25% off. DO NOT PUT A $. Only numbers.

Answers

Answer:

the answer will be 9 dollars

Answer:   9

Explanation:

The discount of 25% off means you save 0.25*12 = 3 dollars, meaning the final cost is 12-3 = 9 dollars.

Or you can think of it like this: if you save 25%, then you still pay the remaining 75%. So 0.75*12 = 9 dollars is the total cost.

can someone help with the equation(s)?

Answers

Answer:

Ok this is multiplication so its 30.25

Step-by-step explanation:

5.50 X 5.50 = 30.25

Randall graphed the equation y=-2x+3 as follows:

Did Randall correctly graph the equation?
A. Yes he correctly graphed the equation B. No he graphed the line with a slope of 2 instead of -2 C. No, Randall graphed the line with a slope of -1/2 instead of -2 D. No, Randall graphed an x-intercept of (3,0) instead of y-intercept (0,3)

Answers

Answer:

C.

Step-by-step explanation:

Hope I could help :)))

Is the function shown linear or nonlinear? Explain.

A. The function is linear becouse all values of x and y are positive.
B. The function is nonlinear becouse there are no negative values of x or y.
C. The function is nonlinear becouse the slope is not constant.​

Answers

Answer:

b

Step-by-step explanation:

linear is a straight line and non linear is something that isnt a straight line

e - i = 5
e + 3i = 9
e value =
i value =
What is the answer

Answers

Answer:

e value = 6

i value = 1

Step-by-step explanation:

The system of equation are;

e - i = 5...(1)

e + 3·i = 9...(2)

Making e the subject of equations (1) and substituting the value of e equation (2) gives;

From equation (1), e - i = 5, we have, e = 5 + i

Substituting the value of e in equation (2), e + 3·i = 9 gives;

e + 3·i = (5 + i) + 3·i = 5 + 4·i = 9

4·i = 9 - 5 = 4

i = 4/4 = 1

i = 1

From e = 5 + i, we have;

e = 5 + i = 5 + 1 = 6

e = 6

Therefore;

e value = 6

i value = 1

Geometry: The Expression 15×x×6 represents the volume of a rectangular prism with a length of 15, a width of x, and a height of 6. Simplify the expression.
1) 21x
2) 90x
3) 21/x
4) 90/x

Answers

Step-by-step explanation:

[tex]15 \times x \times 6 \\ \ \\ = 15 \times 6 \times x = 90x[/tex]

11
Which of these represents point-slope form of a linear equation?

y = mx + b

y - y1 = m(x - 1)

Ax + By = 0

y=kx

Answers

Answer:

second one..........

The point-slope form of a linear equation is represented by y = mx + b.

Option A is the correct answer.

What is equation of a line?

The equation of a line is a form of representing the set of points, which form a line in a coordinate system. 

The general equation of a straight line is given as:

y = mx + c,

where m = slope of the line and c = y-intercept.

We have,

y = mx + b _____(1)

y - y1 = m(x - 1) _____(2)

Ax + By = 0 _____(3)

y=kx ______(4)

From all the equations given above, we see that,

Equation (1) is in the form of a point-slope.

Thus,

The point-slope form of a linear equation is represented by y = mx + b.

Option A is the correct answer.

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tell me your opinions on the following image

Answers

Answer:

gorgeous

Step-by-step explanation:

Answer:

i am disturbed.

Step-by-step explanation:

this image is disturbing to me, because he is staring at you in your sleep too

Mary used one big bag of flour. She baked four loaves of bread.​ Then, she used the remaining flour to make 48 muffins. How much flour was in the bag when Mary​ began? Plz help!!!! I have 20 minutes left

Answers

Answer is 11.

Step-by-step explanation:

Maria used two loaves of bread , One loaf is equal=2 1/4 cups so two becomes 2 ×2 1/4= 9/2

Maria makes the remaing 48 muffins of the flour left so,

One muffin is equal 3 1/4 cups so two becomes 2×3 1/4=13/2

Add both of them

9/2+13/2=11

Given f of x equals 6 1 minus x , what is the value of f of negative 6 ?

Answers

Answer:

answer will be 67

Step-by-step explanation:

f(x) = 61 - x

x = -6

hence we substitute the value of x in f(x)

f(-6) = 61 - (-6)

= 61 + 6

= 67

The value of the function f(x) = 6(1 - x) at x = -6 will be given 42.

What is a function?

A function is an assertion, concept, or principle that establishes an association between two variables. Functions may be found throughout mathematics and are essential for the development of significant links.

The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.

The function is given below.

f(x) = 6(1 - x)

The value of the function at x = -6 will be given as,

f(-6) = 6[1 - (-6)]

Simplify the equation, then we have

f(-6) = 6[1 - (-6)]

f(-6) = 6(1 + 6)

f(-6) = 6 × 7

f(-6) = 42

The value of the function f(x) = 6(1 - x) at x = -6 will be given 42.

More about the function link is given below.

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