Solve for x. Use the completing square method. x^2+8x=7

Answers

Answer 1

Answer:

√23 - 4 , -√23 - 4

Step-by-step explanation:

By completing the square

half of 8 is 4

7+4^2= 23

(x+4)^2=23

Answer 2

Answer:

√23 - 4 , -√23 - 4

Step-by-step explanation:


Related Questions

help me quick please look at the pic

Answers

It’s 140 degrees. The angles are congruent from their pair.

a is 35 because vertical angles

b is 55 because triangle sum

90(right angle)+35(a)+b=180

180-90=90-90+35+b

90=35+b

-35 -35

55=b

c is 110 because linear pairs

180-70=c

area- compound shapes

Answers

Answer:

Step-by-step explanation:

Hello, you need to divide that form into two forms: a triangle and a square.

For square:

A1 = 7in X 7in = 49 in2

For triangle:

A2 = [(7in) X (11in-7in)]/2 = 10.5 in2

So, the total area is the sum of A1+A2

Area = 59.5 in2

Best regards

i need help with this question fast!!!

Answers

C) 2/3 of a page per hour

Since he can write 1/3 of a page in 1/2 of an hour, multiply by 2 to find that he writes 2/3 of a page in 1 hour.

Please consider marking this answer as Brainliest to help me advance.

I agree with the one above.

Your dog eats 7/8 lb of food in 4 meals , how many meals will it take your dog to eat 1 lb of food

Answers

Answer:

The dog needs eat 4.6 meals

Step-by-step explanation:

Due to:

7/8 lb ----> 4 meals

1 lb --------> X meals

X = [(1 lb)*(4 meals)] / [7/8 meals]

X = 4.6 meals

Best regards

The work of a student to solve the equation 4(2x − 4) = 8 + 2x + 8 is shown below:

Step 1: 4(2x − 4) = 8 + 2x + 8
Step 2: 6x − 8 = 16 + 2x
Step 3: 6x − 2x = 16 + 8
Step 4: 4x = 24
Step 5: x = 6

In which step did the student first make an error and what is the correct step?

Answers

step 2 and it was to be 8x-16=8+8+2x

Step 2 it would be 8x-16=8+2x+8

Christy rode her bike 60 miles in 5 hours. (A) what was her average speed in miles per hour?

Answers

Answer:

12mph

Step-by-step explanation:

Christy rode 60 miles in 5 hours.

60/5 = 12 miles per hour

Answer:

The answer is 12mph.

Step-by-step explanation:

If she rode her bike 60 miles in 5 hours, in order to find 1 hour, you divide 60/5. Every hour, she rode 12 miles per hour.

Classify each number as rational or irrational. Drag the choices into the boxes to correctly complete the table.


rational irrational ​


3√ ​​


−1/16 ​​


0​


2√ ​

Answers

Answer:

3 = irrational

-1/16 = rational

0 = rational

2 =irrational

Answer: - 1/16 and 0 are rational. 3 and 2 are irrational.

Step-by-step explanation:

what is the horizontal asymptote of the function f(x)= -2x/x+1

Answers

Answer:

-2

Step-by-step explanation:

We have been given a function f(x)=\frac{-2x}{x+1} and we are asked to find the horizontal asymptote of our given function.

Recalling the rules for a horizontal asymptote:

1. If the numerator and denominator have equal degree, the horizontal asymptote will be the ratio of the leading coefficients.

2. If the polynomial of denominator has larger degree than the numerator, then the horizontal asymptote will be the x-axis or y=0.

3. If the polynomial of numerator has larger degree than denominator, then the function has no horizontal asymptote.

Here, the numerator and denominator are of the same degree. So the horizontal asymptote will be the ratio of the coefficients.

Horizontal asymptote = [tex]-\frac{2}{1}[/tex] = -2

The estimate using front end rounding to get the answer to 18.3 x 1.6

Answers

Answer:

36

Step-by-step explanation:

18.3 = 18

1.6 = 2

18 x 2 = 36

Answer:

36

Step-by-step explanation:

hope it helps! x

A petroleum laboratory technician is working at a petroleum storage depot in the oil-analysis laboratory. The lab tech is running tests on a sample from a 45-gallon oil-solvent mixture that contains 18 gallons of oil.

What is the ratio of the number of gallons of oil to the number of gallons of solvent?

Answers

Final answer:

The ratio of the number of gallons of oil to the number of gallons of solvent is 2:3.

Explanation:

The ratio of the number of gallons of oil to the number of gallons of solvent can be determined by subtracting the number of gallons of oil from the total volume of the mixture and then dividing by the number of gallons of solvent. In this case, the total volume of the mixture is 45 gallons and the number of gallons of oil is 18. So, the number of gallons of solvent is 45 - 18 = 27. Therefore, the ratio of the number of gallons of oil to the number of gallons of solvent is 18:27, which can be simplified to 2:3.

Bill is doing a fundraiser for school. He needs to sell at least $100 dollars worth of items. Candy bars cost $2 each and shirts cost $10 each. He must sell more than 4 candy bars.

Answers

Answer:

bill can sell 5 candy bars and 9 shirts

Step-by-step explanation:

5x2=10

9x10=90

90+10=100

what percent is 18 out of 30?

Answers

Answer:

60%

Step-by-step explanation:

p/100 = 18/30

Multiply each side by 100

p/100 *100 = 18/30 *100

p = 60

18 is 60 percent of 30

The number 18 out of the number 30 is 60 percent.

We need to find what percent is 18 out of 30.

Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".

Here, 18/30

= 9/15

= 3/5

= 0.6

In percentage 0.6×100

= 60%

Therefore, the number 18 out of the number 30 is 60 percent.

To learn more about the percentage visit:

brainly.com/question/24159063.

#SPJ6

Can someone help me with matching? Will mark brainliest for the correct answer

Answers

Answer:

nails  are cleavage rocks are luster flash light is color and hammer is hardness

Step-by-step explanation:

the flash light is color because if you refleact it off of some thing it whould make light whitch is basically color. rocks l is luster because rocks  can gentle sheen or soft glow, especially that of a partly reflective surfacehammer is hardness because i bang it it is hard and nails are cleavage because a sharp division; a split hope i get brainlist witch will never happen will hope this help and let me know if you got it right..

I'm not sure but

the nail is most likely for hardness

the hammer for cleavage/fracture

the light for color

and the black chalk stuff for luster

I used to mess around with rocks a lot... I think this is right, though I'm not sure

Freddy exercised 2.5 hours per 4 days. He burned 330 calories per hour. How many calories did Freddy burn by exercising?

Answers

multiply

[tex]330 \times 2 \\ 660 \times 4 \\ then \: the \: answer \: plus \\ \: 330 \div 2 \\ 165 \times 2[/tex]

that will be the answe

2964 calories

Answer: He burned 3.300 calories.

Step-by-step explanation: 330 (calories he burns per hour)× 2.5 (hours he exercised)= 825

825 (calories he burns per day)× 4 (days)= 3.300 (calories he burned by exercising)

I hope this helped you!!

suppose the circumference of a crop circle is 150.7968 hectometers (hm) what's the radius of the circle? (usett=3.1416)​

Answers

Answer:

The radius of the circle is [tex]24\ hm[/tex]

Step-by-step explanation:

we know that

The circumference of a circle is equal to

[tex]C=2\pi r[/tex]

In this problem we have

[tex]C=150.7968\ hm[/tex]

[tex]\pi=3.1416[/tex]

substitute and solve for r

[tex]150.7968=2(3.1416)r[/tex]

[tex]r=150.7968/(2(3.1416))=24\ hm[/tex]

Answer:

24 hm

Step-by-step explanation:

I got the question.

Helaine graphed the equation 12x – 4y = 3. What was the slope of Helaine’s line?\

Answers

Answer:

[tex]\large\boxed{\text{The slope}\ m=3}[/tex]

Step-by-step explanation:

The slope-intercept form of an equation of a line:

[tex]y=mx+b[/tex]

m - slope

b - y-intercept

We have the equation of a line in the standard form:

[tex]12x-4y=3[/tex]

Convert to the slope-intercept form:

[tex]12x-4y=3[/tex]         subtract 12x from both sides

[tex]-4y=-12x+3[/tex]        divide both sides by (-4)

[tex]y=\dfrac{-12}{-4}x+\dfrac{3}{-4}\\\\y=3x-\dfrac{3}{4}[/tex]

Answer:  The required slope of the given line is 3.

Step-by-step explanation:  Given that Helaine graphed the following equation :

[tex]12x-4y=3~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)[/tex]

We are to find the slope of the line.

We know that

the slope-intercept form of a straight line is given by

[tex]y=mx+c,[/tex] where m is the slope of the line.

From equation (i), we have

[tex]12x-4y=3\\\\\Rightarrow 4y=12x-3\\\\\Rightarrow y=\dfrac{12x-3}{4}\\\\\\\Rightarrow y=3x-\dfrac{3}{4}.[/tex]

Comparing with the slope-intercept form, we get

slope, m = 3.

Thus, the required slope of the given line is 3.

ANSWER THIS QUESTION FAST AND I WILL GIVE YOU BRAINLEST

1.The graph shows two lines, M and N.


How many solutions are there for the pair of equations for lines M and N? Explain your answer.



2.Consider the following pair of equations:


y = x + 4

y = −2x − 2


Explain how you will solve the pair of equations by substitution. Show all the steps and write the solution in (x, y) form.


THE GRAPH IS FOR QUESTION 1.

Answers

Answer:

{y,x} = {-6,-2}

Step-by-step explanation:

/ Solve equation [2] for the variable  y  

 [2]    y = 2x - 2

// Plug this in for variable  y  in equation [1]

  [1]    (2x-2) - x = -4

  [1]    x = -2

// Solve equation [1] for the variable  x  

  [1]    x = - 2

// By now we know this much :

   y = 2x-2

   x = -2

// Use the  x  value to solve for  y  

   y = 2(-2)-2 = -6

(6x^2-x+8)-(x^2+2) NEED HELP FOR GRADUATION ASAP THX***

Answers

I recommend this app called photomath it is unlimited and you just take a picture of the questions

Answer:

A

Step-by-step explanation:

given

6x² - x + 8 - (x² + 2) ← distribute parenthesis by - 1 )

= 6x² - x + 8 - x² - 2 ← collect like terms

= 5x² - x + 6 → A

the price of a climbing trip to mount kilimanjaro includes an initial fee plus a constant fee per meter. the table compares the total distance of a trip (in meters) and the price of the trip (in dollars).

Answers

Answer:

[tex]200\ m[/tex]

Step-by-step explanation:

Let

x------> total distance of a trip

y-------> the price of a trip

step 1

Find the slope

Let

[tex]A(70,114.1),B(100,118)[/tex]

[tex]m=\frac{(118-114.1)}{100-70}=0.13\frac{\$}{m}[/tex]

step 2

Find the equation of the line into point slope form

[tex]y-y1=m(x-x1)[/tex]

we have

[tex]m=0.13[/tex]

[tex]A(70,114.1)[/tex]

substitute

[tex]y-114.1=0.13(x-70)[/tex]

[tex]y=0.13x-9.1+114.1[/tex]

[tex]y=0.13x+105[/tex]

step 3

For [tex]y=\$131[/tex]

Find the value of x

substitute in the linear equation and solve for x

[tex]131=0.13x+105[/tex]

[tex]0.13x=131-105[/tex]

[tex]x=26/0.13=200\ m[/tex]

Answer:

$0.13

Step-by-step explanation:

Which of the following expressions is equivalent to -3(-x+12)

Answers

Answer:

the correct answer is 3x-36

Jenna can paint the shed in 2 hours. Juan can paint it in 1.5 hours. • Jenna says is they work together the job will take 1/2+1/1.5=1^1/2 hours. • Juan says if they work together the job will take 2+1.5/2=1^3/4 hours. Determine if either Jenna or Juan is correct. Explain your reasoning with numbers and words.

Answers

Answer:

There is a formula for this:

[Worker 1 Time * Worker 2 Time] / [Worker 1 Time + Worker 2 Time]

[2 * 1.5] / [2 + 1.5] = 3.0 / 3.5

= 0.8571428571 Hours =

51.43 minutes

Both Jenna and Juan are INCORRECT.

Step-by-step explanation:

Answer:

Step-by-step explanation:

1 job / 2 hours + 1 job / 1.5 hours = 1 job / x  When they work together.

1/2 + 1/1.5 = 1/x                Basic Equation. Change to decimal form

0.5 + 0.6666 = 1/x          Add like terms on the left

1.1666666 = 1/x              Multiply by x on both sides.

1.1666667 x = 1               Divide by 1.16666667

x = 1 / 1.166667               Do the division.

x = 0.8571428              

x = 6/7 of an hour.

This kind of question will always produce an answer that is less than the smallest number.

So the answer must be smaller than 2 hours or 1.5 hours.

Which statement about rhombuses and parallelograms is true?

A) Rhombuses ALWAYS have four equal sides; parallelograms sometimes do not.

B) Rhombuses ALWAYS have four right angles; parallelograms sometimes do not.

C) Parallelograms ALWAYS have opposite sides equal; rhombuses sometimes do not.

D) Parallelograms ALWAYS have opposite sides parallel; rhombuses sometimes do not.

Answers

Final answer:

The correct statement about rhombuses and parallelograms is that rhombuses always have four equal sides while parallelograms sometimes do not. The other options are not true for rhombuses and parallelograms.

Explanation:

The correct statement about rhombuses and parallelograms is option A) Rhombuses ALWAYS have four equal sides; parallelograms sometimes do not. A rhombus, by definition, is a four-sided figure with all sides having equal length while a parallelogram is a four-sided figure with only opposite sides being equal.

Options B, C, and D are incorrect. Rhombuses do not always have four right angles; that is characteristic of a rectangle. Parallelograms always have opposite sides equal and parallel, so C and D are not true.

Learn more about rhombuses and parallelograms here:

https://brainly.com/question/35882736

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The correct answer is option (A).The true statement is that rhombuses always have four equal sides, while parallelograms sometimes do not. This characteristic is a key distinction between rhombuses and general parallelograms. The other statements about angles and sides are incorrect regarding rhombuses and parallelograms.

To determine which statement about rhombuses and parallelograms is true, we need to understand their definitions and properties:

Parallelogram: A quadrilateral with opposite sides that are both parallel and equal in length. Opposite angles are equal, and adjacent angles are supplementary.Rhombus: A type of parallelogram where all four sides are of equal length. Additionally, the diagonals of a rhombus are perpendicular and bisect each other at right angles.

Given these definitions, let's evaluate each statement:

A) Rhombuses ALWAYS have four equal sides; parallelograms sometimes do not.
This is correct because a defining property of a rhombus is having four equal sides, whereas a general parallelogram only requires the opposite sides to be equal.B) Rhombuses ALWAYS have four right angles; parallelograms sometimes do not.
This is incorrect because a rhombus does not necessarily have right angles.C) Parallelograms ALWAYS have opposite sides equal; rhombuses sometimes do not.
This is incorrect because rhombuses, as a type of parallelogram, also always have opposite sides equal.D) Parallelograms ALWAYS have opposite sides parallel; rhombuses sometimes do not.
This is incorrect because rhombuses, being parallelograms, always have opposite sides parallel.

Option A) is the true statement as rhombuses always have four equal sides and parallelograms sometimes do not.

What is 1.06x2.29? I really need help with this problem.

Answers

2.4274 that is the answer

Answer:

2.4274

Step-by-step explanation: just multiply

What is the domain of the function y= sqrt3/x ? plese help

Answers

Answer:

all reals, except at x=0

Step-by-step explanation:

because x is in the denominator, x cannot equal 0

For this case we have a function of the form [tex]y = f (x),[/tex]where:

[tex]f (x) = \sqrt {\frac {3} {x}}[/tex]

we must find the domain of the function.

The domain is given by all the values for which the function is defined.

Note that "x" is not defined for negative numbers or for zero. Then x can only take strict higher values to zero.

Domain: {x | x> 0}

Answer:

Domain: {x | x> 0}

What is the volume of this right rectangular prism enter your answer in the box 3.5ft 2ft 7ft

Answers

Answer:

49 cubic feet

Step-by-step explanation:

Please help! On part B!

Answers

Answer:

80.73 each month

Step-by-step explanation:

The original price of the computer is $598. It is offered for 25% off. This means you pay 75% of the original price or 0.75(598) = 448.5. The sales price is $448.50. You will pay 8% tax on this price. This means you'll pay 100% of the price plus 8% more. So this is 1.08(448.5) = 484.38.

In total you pay 484.38 over 6 months. This means each month you pay 484.38/6 = 80.73.

Path a for every 36 meters of horizontal distance , the vertical change is 14 meters

Path B for every 4.27 meters of horizontal distance , the vertical change is 2 meters

The grade of path a is _%
The grade of path b is _ %

Answers

Answer:

The grade for path a is 257.1428571%

The grade for path b is 213.5%

Step-by-step explanation:

To find the grade of a slope, you take the rise over run then you multiply by 100.

(4, 3) is a solution to the following system of equations:
True or false

Answers

Answer:

True

Step-by-step explanation:

2(4)+(3)=11

8+3=11

11=11

(3)=(4)-1

3=4-1

3=3

all you have to do is substitute 4 for you x-values, and substitute 3 for your y-values, and then solve the equations.

True. X= 4 and Y= 3.

2(4) + 3 = 11

The slope of the line passing through the points (-3, 4) and (-5, -6) is -1 5 1/4

Answers

Answer:

5

Step-by-step explanation:

The formula of a slope:

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

Put the coordinates of the points (-3, 4) and (-5, -6) to the formula of a slope:

[tex]m=\dfrac{-6-4}{-5-(-3)}=\dfrac{-10}{-2}=5[/tex]

Evaluate f(3) divided by g(2) using functions f(x)=x^+1 and g(x)=x .

ANSERWS
A.4
B.5
C.8
D.10

Answers

Answer:

[tex]\large\boxed{B.\ 5}[/tex]

Step-by-step explanation:

[tex]f(x)=x^2+1\\\\f(3)\to\text{put x = 3 to the equation of the function}\ f(x):\\\\f(3)=3^2+1=9+1=10\\\\g(x)=x\\\\g(2)\to\text{put x = 2 to the equation of the function}\ g(x):\\\\g(2)=2\\\\f(3):g(2)=10:2=5[/tex]

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