x squared -8x+14=2x-7

Answers

Answer 1

Answer:

x = 3 or x = 7

Step-by-step explanation:

X² - 8x + 14 = 2x - 7

x² - 8x + 14 - 2x + 7 = 0

Now we have a quadratic equation ;

x² - 10x + 21 = 0

-3 and - 7 gives a sum of - 10 and a product of 21

x² - 3x - 7x + 21 = 0

x(x - 3) - 7(x - 3) = 0

(x - 3) = 0 or (x - 7) = 0

x = 3 or x = 7


Related Questions

construction worker’s planned to secure a tall pole using two cables attached to the pole at a point 12 m above the ground as shown in the diagram below.
based on the information in the diagram which value represents the total length of the cable that is needed to secure the pole?

Answers

Answer:(24+12\3)m

Step-by-step explanation:

6x + ? = 0
? =
Does anyone know the answer to this

Answers

The answer is -6x because they’ll cancel out = 0
the answer is -6x .

10 – 7w – 13 – 7w + 15

I need help plsss!

Answers

Answer:

12-14w

Step-by-step explanation:

Lesson 4-1 Solving Systems of Equations by Graphing

Answers

Answer:

Where's the question?

Step-by-step explanation:

Answer:

we cant answer it theres no backup to the question

Step-by-step explanation:

Given: FH ⊥ GH; KJ ⊥ GJ

Prove: ΔFHG ~ ΔKJG

Triangles F H G and K J G connect at point G. Angles F H G and K J G are right angles.

Identify the steps that complete the proof.

Answers

Answer:

 

✔ all right angles are congruent

♦ =  

✔ angle FGH is congruent to angle KGJ

♠ =  

✔ AA similarity theorem

Step-by-step explanation:

i just got it right

Answer: 2,3,3

Step-by-step explanation:

6(n-3)-2n=10
solve n

Answers

i got -2. i hope that’s correct

Answer:

n=7

Step-by-step explanation:

6(n-3)-2n=10

Distributive Property

6n-18-2n=10

Combine like terms

4n-18=10

Addition property of equality with -18; add -18 to both sides

4n=28

Division property of equality; divide 4 from both sides

n=7

Last Thursday was costume day at Terrence's school. 50% of the 272 students wore a costume. How many students wore a costume?

Answers

Answer:

136

Step-by-step explanation:

272÷2=126

Solve each equation

5x-2=8
4x-3=2x + 9
6x+3=2x+8

Answers

Answer:

The required answers are 2, 6 and 5/4respectively

Step-by-step explanation:

5x-2=8

or, 5x=10

or, x=2

4x-3=2x+9

or, 2x=12

or, x=6

6x+3=2x+8

or, 4x=5

or, x=5/4

Hey guys this is confusing, someone plz help

Answers

Answer: x = 13

Step-by-step explanation:

To find the value of x, you have to find ∠QRP

∠QRP + ∠QRS = 180

∠QRP + 95 = 180

Subtract 95 from both sides

∠QRP = 85

∠RQP + ∠QPR + ∠QRP = 180   Definition of triangle

(4x + 3) + (3x + 1) + 85 = 180

Subtract 85 from both sides

(4x + 3) + (3x + 1) = 95

7x + 4 = 95

Subtract 4 from both sides

7x = 91

Divide 7 from both sides

x = 13

(4/9) ÷ (7/12) = ???

Answers

Answer:37/36

Step-by-step explanation:

Source: Trust me

Answer:

16/21

or in decimal form 0.761904

Step-by-step explanation:

could i have that brainlyest

What does k represent in the equation y = kx?

Answers

Answer:

The constant of variation.

for every 6 white roses, there are 8 pink roses. If the floral arrangement is proportional then how many pink roses are in a arrangement with 10 white roses

Answers

Answer:

13.33 pink roses

Step-by-step explanation:

We are told the floral arrangements are proportional , hence:

6 white roses = 8 pink roses

10 white roses = x

Cross Multiply

6 white roses × x = 10 white rose × 8 pink roses

x = 10 white roses × 8 pink roses/6 white roses

x = 13.333333333 pink roses

x ≈ 13.33 pink roses

plzzzzzzzzzzzzzzzzzzzzzzzzzzz

Answers

Answer:

2x power of 2 +7x+3

Step-by-step explanation:

Multiply the parenthesis together.

2x squared +6x +x +3

2x squared +7x+3

Answer:

2x^2 + 2x + 3

Step-by-step explanation:

Find the solution to the system of equations.
A. (1, 4)
B. (4, 1)
C. (0, 3)
D. (4, –1)

Answers

Answer:

it should be A but im not fully sure

Answer:

B (4,1). ( look at the point of intersection x-axis is at 4 and y is at 1) so it is (4,1)

17 apples and 12 oranges cost $10.44. 3 apples and 4 oranges cost $2.84. How much does 1 orange cost?

Answers

Answer:

0.48$

Step-by-step explanation:

Cost of 1 Apple = A

 

Cost of 1 Orange = O

 

 

Six apples and three oranges cost $3.36 equivalent to:

 

6A + 3O = 3.36 (1st equation).

 

Two apples and five oranges cost $3.04 equivalent to:

 

2A + 5O = 3.04 (2nd equation).

 

 

Now we have to solve the 2 equations with 2 uknowns (the cost of 1 Apple = A, and the cost of 1 Orange = O).

 

6A + 3O = 3.36 (Equation 1)

2A + 5O = 3.04 (Equation 2), multiplying this equation by 3 we get:

 

6A + 3O = 3.36 (Equation 1)

6A + 15O = 9.12 (Equation 2), Now equation 2 minus equation 1 we get:

 

 

6A-6A +15O -3O = 9.12-3.36 equivalent to:

 

12O = 5.76 => O = 5.76/12 = 0.48 ( the cost of one Orange is 0.48$)

 

Go back to equation 1 and solve for the cost of 1 apple:

 

6A + 3x0.48 = 3.36 =>

6A + 1.44 = 3.36 =>

6A = 1.92 =>

A = 1.92/6 = 0.32 ( the cost of one apple is 0.32$)

 

Summary: The cost of one apple is 0.32$ and the cost of one orange is 0.48$.

The answer is 48¢... Hope it helps!!

48 cities three have a lake and 23 have a river running through them what fraction of these 48 cities have a lake or a river running through the show your work

Answers

3/48 + 23/48 = 25/48 25 cities have a lake/river going through them

Ignacio is going on vacation. He needs to drive 520 miles in 8 hours. What is his average speed in miles per hour?​

Answers

Answer:

65 miles per hour

Step-by-step explanation:

520 divided by 8

Answer:

His average speed is 65 miles per hour.

Step-by-step explanation:

The answer is 65 because 520 divided by 8 is 65.

P.S Can I have brainliest?

please help what is n
ill give brainliest

Answers

Answer:

90

Step-by-step explanation:

I used a protractor and my head and this is what I got

Find x.
Side splitter theorem

Answers

Answer:

x = 9

Step-by-step explanation:

The outer and inner triangles are similar, thus the ratios of corresponding sides are equal, that is

[tex]\frac{8}{8+4}[/tex] = [tex]\frac{x-3}{x}[/tex] , that is

[tex]\frac{8}{12}[/tex] = [tex]\frac{x-3}{x}[/tex] ( cross- multiply )

12(x - 3) = 8x

12x - 36 = 8x ( subtract 8x from both sides )

4x - 36 = 0 ( add 36 to both sides )

4x = 36 ( divide both sides by 4 )

x = 9

What is an
equation of the line that passes through the points (-8,4) and (-8, 8)?

Answers

Answer:

X= -8

Step-by-step explanation:

Which statement about 2 + 3x is true?
O A. There are four terms in 2 + 3x.
O B. 2 + 3x is a product.
O C. 2 + 3x is a quotient.
D. 3 is the coefficient of x.

Answers

d, 3 is the coefficient of the variable x

Can i have some help please

Answers

Answer:

bababooey

Step-by-step explanation:

Mr. Snow keeps a list of vocabulary terms that he wants his students to memorize from the textbook.

He began the year with 15 terms on the list. Of the 35 new terms in each chapter, Mr. Snow puts the definition of 10 terms on the wall and adds the remaining terms to the vocabulary list to be memorized.
question:
the number of terms on the vocabulary list can be represented by a linear function. Identify the rate of change and initial value of this function. Explain what these value represent in term of the situation.

Answers

Answer:

Step-by-step explanation:

35(6)x12=224

Brisbane is 10 hours ahead of London and New York is 5 hours behind London. Arsh lives in Brisbane. At 12 noon on 5 November, Arsh calls Lily who lives in New York, what time and date is it in New York?

Answers

Answer:

9:00 pm, 4th November

Step-by-step explanation:

Since ;

Brisbane is 10 hours ahead of London

New York is 5 hours behind London

Then, Brisbane is (10 + 5)hours ahead of New York.

Then Brisbane is 15 hours ahead of New York

Time and Date Brisbane resident called New York = 12 Noon, 5th November

Time and Date in New York will be :

(12 Noon - 15 hours) = 9:00 pm, 4th November

A watercolor painting is 24 inches long by 11 inches wide. Ramon makes a border around the watercolor painting by making a mat that adds 3 inches to each side of the length and the width. What is the area of the mat?

Answers

Given: It is given that the length of the painting is 24 inches and the width is  11 inches.

To find: Area of the mat

Solution:

The watercolor painting is 24 inches long by 11 inches wide.

So, the area of the painting is:

[tex]\text{Area of painting}=l\times b[/tex]

[tex]\text{Area of painting}=24\times 11[/tex]

[tex]\text{Area of painting}=264 \text{ in}^2[/tex]

The length of painting with mat is = 24 in + 3 in + 3 in = 30 in

The width of painting with mat = 11 in + 3 in + 3 in = 17 in

[tex]\text{Area of painting with mat}=30\times 17[/tex]

[tex]\text{Area of painting with mat}=510 \text{ in}^2[/tex]

Now to calculate the area of mat subtracts the area of painting from the area of the mat.

[tex]\text{Area of mat}=\text{Area of painting with mat}-\text{Area of painting}\\[/tex]

[tex]\text{Area of mat}=510-264[/tex]

[tex]\text{Area of mat}=246 \text{ in}^2[/tex]

Hence, the area of the mat is 246 in².

answers for both boxes please ​

Answers

Answer: (4,2). Explanation: In the elimination method you either add or subtract the equations to get an equation in one variable. When the coefficients of one variable are opposites you add the equations to eliminate a variable and when the coefficients of one variable are equal you subtract the equations to eliminate a variable. The Elimination Method
Step 1: Multiply each equation by a suitable number so that the two equations have the same leading coefficient. ...
Step 2: Subtract the second equation from the first.
Step 3: Solve this new equation for y.
Step 4: Substitute y = 2 into either Equation 1 or Equation 2 above and solve for x.
variable equation. It is relatively difficult to determine the values of x and y without manipulating the equations. If one adds the two equations together, the x s cancel out; the x is eliminated from the problem. Hence it is called the "elimination method”.

Last week, Clay had a beginning balance of $50 in his account. He wrote 2 checks for $23 each from his checking account , withdrew another $5, and finally made a deposit of $22. Part A: Write an expression and your answer to show his final account balance at the end of the week 23 * 2 = 46 Part B: Explain in words, what Clay should do to get his accaunt balance to zero?

Answers

Answer:

Part A

y =($50 - ($23 × 2 + $5)+ $22)

y = $21

Part B

Clay can get his balance to zero by withdrawing or writing another check for $21

Step-by-step explanation:

Last week, Clay had a beginning balance of $50 in his account. He wrote 2 checks for $23 each from his checking account , withdrew another $5, and finally made a deposit of $22.

Part A: Write an expression and your answer to show his final account balance at the end of the week 23 * 2 = 46

Let his final Account Balance = y

y =($50 - ($23 × 2 + $5)+ $22)

y =$72 - $51

y = $21

Part B: Explain in words, what Clay should do to get his account balance to zero?

Clay can get his balance to zero by withdrawing or writing another check for $21

= $21 - $21

= $0

How many pounds does 6.5 dozen cupcakes weigh?
• 1 cupcake = 35.3 grams

Answers

Answer:

35.3g * 78 =2,753.4g

2,753.4g = 6.07lbs

The problem it takes one week for a crew of workers to have 3/ 5 km of a road at that rate is how long will it take to pave 1 km

Answers

It will take them 2 weeks

What’s the solution for x- 5 =5

Answers

Answer:

x=10

Step-by-step explanation:

10-5=5

Answer:

x= 10

Step-by-step explanation:

x-5 =5

x= 5+5

x= 10

zz

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