[tex]\sqrt{x + 12} = x+5[/tex]

Answers

Answer 1

We can solve the equation that has square root by completing the square (The purpose is to get rid of the square root.)

From [tex]\sqrt{x+12}=x+5[/tex]

Completing the square for both sides.

[tex](\sqrt{x+12})^2=(x+5)^2\\x+12=x^2+10x+25\\x^2+10x+25-x-12=0\\x^2+9x+13=0[/tex]

Because this polynomial cannot be factored. We have to use the Quadratic Formula to solve the equation.

[tex]x=-\frac{b±\sqrt{b^2-4ac} }{2a}[/tex]

[tex]x=\frac{-9±\sqrt{9^2-4(1)(13)} }{2}\\x=\frac{-9±\sqrt{81-52} }{2}\\x=\frac{-9±\sqrt{29} }{2}[/tex]

But from the graph, the radical function graph doesn't intercept y = x+5 at (-9+√29)/2

Therefore, the answer is (-9-√29)/2

Also Ignore A' in the Quadratic Formula. It appears there whenever I want to put "plus-minus" symbol in the formula.


Related Questions

Factor using grouping: x³+ 3x² + 5x = 15

Answers

X= 1.288 or just 1.29 is the correct answer. When you factor, set each factor equal to zero.
1. Move all terms to one side of the equation, usually the left, using addition or subtraction.
2. Factor the equation completely.
3. Set each factor equal to zero, and solve.
4. List each solution from Step 3 as a solution to the original equation.

4t + 2u
w;t= 2 and u= 1

Answers

15

Step-by-step explanation:

4t + 2u²- u³

4×2=8

2×1=2²=8

1³=1

8+8-1

16-1=15

please helppp .......Convert 3/7 into a decimal. Round to the nearest hundredth.

Answers

0.4286 is not rounded to hundredth rounded is 0.44

I think the answer is 0.43

The cost, including sales tax, of a Ford Focus SE is $19,392.70. If the sales tax is 6%, find the cost of the car before the tax was added.

Answers

Answer:

the price before taxes was $18,229.13

Step-by-step explanation:

Do you think one act of kindness has the power to spread more kindness? Why or Why not?
Im just lazy pls help

Answers

Answer:

yes

Step-by-step explanation:

if you do one good thing for someone eles they would want other people to feel the same way

Answer:

yes because the person is going to feel comfortable and spread kindness to others :)

Step-by-step explanation:

If the store paid $75 for a clarinet and sold it for $100, did the store mark up the price by 30%?

Answers

Answer:

No

Step-by-step explanation:

30% of $75 is $22.50 (0.3×75=22.5)

$75+$22.50=$97.50, not $100

So, the store did not mark up the price by 30% because the original price ($75) plus 30% more does not equal $100.

Answer:

no

Step-by-step explanation:

Work out the value of x+y multiplied by z if x=3/5 ....

Answers

Answer:

1.056

Step-by-step explanation:

Because 2 4/5+ 3/5= 3 1/5

3 1/5 as a decimal is, 3.2

3.2× .33= 1.056

Right 2 units and down 7 units

Answers

Answer:

-3.5

Step-by-step explanation:

Rise over run

Question 2 (5 points)
(01.01 LC)

Which rational number equals 0 point 1 with bar over 1? (5 points)

Question 2 options:

1)

1 over 11

2)

1 over 10

3)

1 over 9

4)

1 over 8

Answers

Answer:

3. 1 over 9 is the correct answer

Answer:

option 3 is correct.

hope it helps

1
For every 2 teaspoons of white vinegar in a jar of homemade glue, there are 5 tablespoons of
cornstarch. How many teaspoons of white vinegar are there for every tablespoon of cornstarch?
A. 1
5
В.
C 1
D. 5

Answers

5 divided by 2 so it’s 2.5

The number of teaspoons of white vinegar are there for every tablespoon of cornstarch is 0.4.

What is the unitary method?

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Given that, for every 2 teaspoons of white vinegar in a jar of homemade glue, there are 5 tablespoons of cornstarch.

The number of teaspoons of white vinegar are there for every tablespoon of cornstarch = 2/5

= 0.4

Therefore, the number of teaspoons of white vinegar are there for every tablespoon of cornstarch is 0.4.

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Can two fraction with the same numerator and different denominators be equal? Use words and numbers to explain.

Answers

Step-by-step explanation:

Since equivalent fractions do not always have the same numerator and denominator, one way to determine if two fractions are equivalent is to find a common denominator and rewrite each fraction with that denominator. Once the two fractions have the same denominator, you can check to see if the numerators are equal.

The two fractions with the same numerator and different denominators can not be equal.

What is Algebra?

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

A division number is a number that addresses the piece of the entire, where the entire can be any number. It is a numerator and a denominator.

The fraction is in the form of a numerator and denominator. The two fractions can be equal if and only if their numerator and denominator are equal.

The two divisions with similar numerators and various denominators can not be equivalent.

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Consider the following statements:
I. Multicollinearity is present when there is a high degree of linear correlation between the predictors.
II. A regression analysis between weight (y in pounds) and height (x in inches) resulted in the following least squares line: y-hat = 135 + 6x + errors. This implies that if the height is zero, the weight is 135 pounds in this linear model.
a. I is true and II is false.
b. I is false and II is true.
c. Both I and II are true.
d. Both I and II are false.
e. More information is needed for each statement in order to tell which is true or false.

Answers

Answer:

d. Both I and II are false

Step-by-step explanation:

When there is a high degree of linear correlation between the predictors the errors are found.

The basic objective of the regression model is to separate the dependent and independent variables. So if the variables have high degree of linear correlation then the multi collinearity causes problems or has errors. It is not necessary that multi collinearity must be present with high degree of linear correlation.

For example we have 3 variable of heat length and time. And all of them have a high degree of correlation. With increase in heat and time the length increases . But for multi collinearity with the increase of time and decrease of heat length does not increase. So this causes errors.

y-hat = 135 + 6x + errors

The linear relationship between height and weight is inexact. The deterministic relation in such cases is then modified to allow the inexact relationship between variables and a non deterministic or probabilistic model is obtained which has  error which are unknown random errors.

y- hat= a + bXi + ei   (i=1,2,3...)

ei are the unknown random errors.

So both statements are false.

a veternarian treated 7 dogs 13 cats 4 horses and three ferrert what was the percentage of his paitents were small animals

Answers

Answer:

As per your defention, horses are the only thing considered "not small".  To find the percentage, you take the number of what you are trying to find the percentage of divided by the total number.

So, 7 dogs + 13 cats + 3 ferrets = 23 Small animals

7 dogs + 13 cats + 3 ferrets + 4 horses = 27 total animals.

So,

23/27 * 100

The reason we multiply by 100 is because the division gives us a decimal, and a percentage is a part out of 100.

So by doing the calculation we get

85.18%

Step-by-step explanation:

A recipe for 45 biscuits uses
5
2
cups of flour. How many biscuits are made from each cup of flour?

Answers

Answer:

18

Step-by-step explanation:

Please give brainliest!

Answer:

18

Step-by-step explanation:

An electrician charges (1) an initial fee of $20 and then $30 per hour. What type of graph does this represent?
an increasing only graph
a decreasing only graph
an increasing and decreasing graph

Answers

Answer:

this is an increasing graph. of y = 30x + b

Step-by-step explanation:

since all that is happening is that people are adding money, the graph just goes up and up

Hugo earns $2.00 for setting the table and $2.00 for washing the dishes. Let t be the number of times Hugo sets the table and let d be the number of times Hugo washes the dishes. Select all the expressions that could represent the total earned, E, in dollars, by Hugo *
2 points
A) E = 2(t + d)
B) E = 2t + 2d
C) E = 2t + d
D) E = 2 + td

Answers

Answer:
B) E = 2t + 2d

Explanation:
t and d are being multiplied by 2 for the amount of work done by each.

Graph the direct variation that includes the point (5,4). write the equation of the line.
How do I solve this?

Answers

Answer:u have to be missing something

Step-by-step explanation:

Answer:

does the question have a graph or is it just the word problem?

here is the answer if its just the word problem

Step-by-step explanation:

y= -5x+4

hope I helped :)

You have $125 in a savings account and you deposit an equal amount into your account each week. After 5 weeks the account holds $170. Write an equation that represents the amount y (in dollars) of money in the account after x weeks.

Answers

Answer: 10x=y

Step-by-step explanation:

So if you subtract 170-125 you get 50. If you divide 50 by the 5 weeks you geat 10. So there is ten dollars a week going into the bank account.

5/12<__<3/4 what answer goes in the blank

Answers

Answer:

We have:

5/12<__<3/4

To complete the blank, we need to find a number that is larger than 5/12, but smaller than 3/4.

This is ratter easy, the first step would be to write both limits with the same denominator.

we can rewrite the upper one as:

3/4 = (3/3)*(3/4) = 9/12

Where we multiplied the numerator and denominator by the same number, 3.

Now we have:

5/12 <  < 9/12

Then in the blank, we could input any number like:

5/12 + 1/12 = 6/12

6/12 is larger than 5/12, but smaller than 9/12

We also could use 7/12, or 8/12.

And those are the ones easy to find, actually, there are infinite numbers that can fill the blank.

Then to complete the answer we will write:

5/12 > 6/12 > 9/12

2x – 3y = -5
y = 2 + x
The value of y in the system of equations is:
y = -1.
y = -3.
y = 1.
y = 3

Answers

Answer:

y = 3

Step-by-step explanation:

2x-3y = -5 --------- (1)

y = 2+x ------- (2)

substitute (2) into (1)

2x-3y = -5

2x-3( 2+x ) = -5

2x-6-x = -5

2x-x = -5+6

x = 1

substitute x = 1 into (2)

y = 2+x

y = 2+1

y = 3

what is m% of n please help

Answers

m% of n would technically be some amount of n. To find m%, you would have to do n * 0.m to find your answer

HELP ME PLEASE WITH GIVE YOU BRANLEST 20 POINTS

Answers

Answer:

A: 1min 12sec B: 1 lap C: 25min and 12 sec

Step-by-step explanation:

A: 5/6 = 1/x (ratio of the laps and time)=1 min 12sec

B: 1 lap

C: 25 minutes and 12sec

Answer this question correctly and I will give you brainlyist, 5.0 rating, and thanks. The question that you need to answer is in the screenshots below.

Answers

Answer:

so it should be D because after you check them all D is the only one that the watch would actually cost $50- sorry for the confusing ecplanation but im like 99.99999% sure its right

Step-by-step explanation:

A line includes the points (-8,8) and (6,4). Select the correct point slope form equations of this line. (Remember there can be more than one)



Group of answer choices

y-8=(-2/7)(x+8)

y+8=(-2/7)(x-8)

y-4=(-2/7)(x-6)

Answers

Answer:

y-8=(-2/7)(x+8) and y-4=(-2/7)(x-6)

Step-by-step explanation:

Point slope form equation: y - y₁ = m(x - x₁)

m is the same for all your answer choices, so you can disregard that part.

First point: (-8,8)

x₁ = -8; y₁ = 8

Plug those values into the point slope form equation and you get:

y-8=(-2/7)(x+8)

Do the same for the second point, and you get:

y-4=(-2/7)(x-6)

Answer:

first and third options

Step-by-step explanation:

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

Calculate m using the slope- formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 8, 8) and (x₂, y₂ ) = (6, 4)

m = [tex]\frac{4-8}{6+8}[/tex] = [tex]\frac{-4}{14}[/tex] = - [tex]\frac{2}{7}[/tex]

using (a, b ) = (- 8, 8 ), then

y - 8 = - [tex]\frac{2}{7}[/tex] (x - (- 8) ) , that is

y - 8 = - [tex]\frac{2}{7}[/tex](x + 8) ← first option

using (a, b ) = (6, 4 ), then

y - 4 = - [tex]\frac{2}{7}[/tex] (x - 6) ← third option

Nick earns 3.5%
commission on every
car he sells. How much
would he earn if he sold
a $14.000 car?

Answers

The amount he would earn is $490.

What does multiplication mean?

Multiplication is the process of determining the product of a number. It is determined by following some mathematical processes. The sign used to represent multiplication is ×.

How much will he earn?

Commission = 3.5% x $14,000

0.035 x $14,000 = $490

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In a class of 12 boys and 8 girls, two students need to be chosen for classroom jobs.
What is the probability that Mary gets selected?

Answers

Answer:

55 percent chance or 11/20 or  0.55

Step-by-step explanation

Tommy is using a bucket to collect nuts from a nut tree. He then dumps the bucket into a barrel for shipping of the nuts. He notices that 1 over 4 bucket of nuts fills 2 over 3 of the barrel.

Part A: Write and solve an equation to find the amount of nuts that will fill the entire barrel. Show your work. (8 points)

Part B: Explain your answer in words. (2 points)

Your answer:

Answers

Answer: you need 3/8 buckets of nuts to fill the barrel.

Step-by-step explanation:

I will find the equation and explain it with words at the same time, so it is easier to understand.

We know that:

1/4 buckets of nuts, fills 2/3 of the barrel.

Then we can write the equation:

(1/4) buckets of nuts = (2/3) of the barrel

We want to have a one in the right, which will mean that the barrel is complete, then we can multiply both sides by 3/2

(3/2)*(1/4) buckets of nuts = (3/2)*(2/3) of the barrel.

3/8 buckets of nuts = 1 of the barrel.

This means that you need 3/8 buckets of nuts to fill the barrel.

solve y (1/2)y+6=(3/4)y–4

Answers

Answer:

Y = 40

Step-by-step explanation:

Change 1/2 to 2/4

2/4 y + 6 = 3/4y - 4

subtract 2/4y

6 = 1/4y -4

add 4

10 = 1/4y

multiply by 4 to get fraction to 1y or y

y = 40

ANSWER : y = 40

I GOT IT RIGHT ON MY QUIZ

Are the following equations parallel, perpendicular, or neither? y= 3x - 1 and y =
-1/3x + 10 *
Parallel
Perpendicular
Neither

Answers

Answer:

Perpendicular

Step-by-step explanation:

in the coordinate plane, triangle ABC has vertices A(1,-2), B(1,0.5), and C(2,1) and triangle DEF has vertices D(4,-3), E(4,2), and F(6,3). The triangles are similar because DEF is the image of ABC under a dilation with center (_,_) and scale factor ___.

PLEASE HELPP​

Answers

Answer:

(A) the center of dilation is at (-2,-1)

(E) the scale factor is 2

The triangle DEF is a dilation of triangle ABC with center of dilation at (0,0) and scale factor of 0.5.

What is Triangle?

A triangle is a three-sided polygon that consists of three edges and three vertices.

The ratio of the lengths of corresponding sides of triangles ABC and DEF.

AB and DE are corresponding sides, so:

AB/DE = (distance between A and B) / (distance between D and E)

= 2.5 / 5

= 0.5

BC and EF are corresponding sides, so:

BC/EF = (distance between B and C) / (distance between E and F)

=1.118 / 2.236

= 0.5

AC and DF are corresponding sides, so:

AC/DF = (distance between A and C) / (distance between D and F)

AC/DF = 2.236 / 4.472

= 0.5

We see that all three ratios are equal to 0.5.

Hence, the triangle DEF is a dilation of triangle ABC with center of dilation at (0,0) and scale factor of 0.5.

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