x[tex]x^{2}-8x+14=2x-7[/tex]

Answers

Answer 1

Answer:

[tex]x = 3\ or\ x = 7[/tex]

Step-by-step explanation:

Given

[tex]x^{2}-8x+14=2x-7[/tex]

Required

Solve

Equate to 0

[tex]x^{2}-8x-2x+14+7=0[/tex]

[tex]x^{2}-10x+21=0[/tex]

Expand

[tex]x^{2}-7x-3x+21=0[/tex]

Factorize

[tex]x(x-7)-3(x-7)=0[/tex]

Factor out x - 7

[tex](x-3)(x-7)=0[/tex]

Split

[tex]x - 3 = 0\ \ x - 7 = 0[/tex]

Solve

[tex]x = 3\ or\ x = 7[/tex]


Related Questions

16. Subtract: 5 - 3 1/3

Answers

Answer:

1  2/3 ( d is the answer)

Step-by-step explanation:

See image below:) I know it says 5/3 but where it says alternative form it says 1  2/3

Turn in an improper fraction
3 1/3
= 10/3

5/1 - 10/3

15/3 - 10/3

5/3 or 1 2/3

Solve P = 8/3 R + 30 for R.

Answers

Answer:

R = (3P-30)/8

Step-by-step explanation:

subtract 30 from each side to get:

P-30 = [tex]\frac{8}{3}[/tex]R

multiply each side by [tex]\frac{3}{8}[/tex] to get:

[tex]\frac{3}{8}[/tex] · P - 30 = R

R = (3P-30)/8

A pizza has a radius of 7 inches. If it is cut into 6 equal slices, what is the area of each slice?

Answers

answer: each slide would be one sixth of the entire area; the entire area is (pi)(72).  

Do not use pi = 22/7 because that's untrue. It's approximately 3.1416; round off later!

hope this helps

First we need to find the area of the circle. The formula for the area of the circle is the radius squared times pi. So the entire area would be 49 pi. Then divide 49pi by 6. That is 8 1/6 pi. Then you can plug pi in. So the answer is approximately 25.6563400043

Which one of these polls is the correct answer? Please help.

Answers

M= 4

Hope that helps have a great day!

The denominator of a fraction is twice the numerator. If 3 is added to the numerator and 3 is subtracted from the denominator, the new fraction is 7/5. Find the original fraction.

Answers

Answer:

4/8

Step-by-step explanation:

d = 2n

n+3 = 7

d-3 = 5

substitute '2n' for 'd' in d-3=5

2n-3 = 5

2n = 8

n = 4

d = 2(4)

4/8

If anybody needs gauthmath code for homework this is my code = ER326P

Answers

Omg what? I don’t get it

Which statement is true?

Answers

It’s the second one it’s right
None hi Ivan ……..hiiii

PLEASE HELP ASAPPPPP!!!!!!
You have 2 spreads, 3 meats, and 4 kinds of bread. How many different sandwiches can you make using one of each ingredient?

Answers

The total combinations are found by multiplying each option by each other.

2 spreads x 3 meats x 4 breads = 24 different combinations.

Answer : 24

Watch help video
Solve for 2. Round to the nearest tenth, if necessary.
5-3
O
52
х
N

Answers

Answer:

x = 3.3

Step-by-step explanation:

Reference angle = 51°

Hypotenuse = x

Adjacent = 5.3

Apply trigonometric function CAH, which is:

Cos 51° = Adj/Hyp

Cos 51° = 5.3/x

x*Cos 51° = 5.3

x = 5.3/Cos 51°

x = 3.3 (nearest tenth)

A pair of elephants walk 26 meters on a straight slope. The height of the slope is 12 meters. Find the angle between ground and the top of the hill.

Answers

Answer:

36

Step-by-step explanation:

20 5 4 2 X 2.5 12 1.5 3​

Answers

Answer:

x = 10

Step-by-step explanation:

if two prisms are similar then the side lengths are proportional

2/4 = x/20 cross multiply expressions

40 = 4x divide both sides by 4

10 = x

what is the product of -8 1/3 and 3 2/5

Answers

Answer:

-28 1/3

Step-by-step explanation:

-8 1/3= -25/3

3 2/5= 17/5

-25/3*17/5= -28 1/3

What type of solution would tho following system have?
y=(9/3)x-2
y=3x-2

One Solution

No Solution

Infinite Solutions

Answers

Answer:

one solution I think is the answer

One solution I really hope this help

On Tuesday, a local hamburger shop sold a combined total of 576 hamburgers and cheeseburgers. The number of cheeseburgers sold was three times the number of hamburgers sold. How many hamburgers were sold on Tuesday?

Answers

Answer:

check the picture

Step-by-step explanation:

I hope this helps

x2 + y2 − 4x + 12y − 20 = 0
(x − 6)2 + (y − 4)2 = 56
x2 + y2 + 6x − 8y − 10 = 0
(x − 2)2 + (y + 6)2 = 60
3x2 + 3y2 + 12x + 18y − 15 = 0
(x + 2)2 + (y + 3)2 = 18
5x2 + 5y2 − 10x + 20y − 30 = 0
(x + 1)2 + (y − 6)2 = 46
2x2 + 2y2 − 24x − 16y − 8 = 0
x2 + y2 + 2x − 12y − 9 = 0

Answers

Answer:

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Step-by-step explanation:

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what is the common difference of the following sequence?
3,5,7,9,11___

16,19,22,25___​

Answers

Answer:

the first one goes by 4n-1

the Second sequence goes by 3n + 13

Step-by-step explanation:

using the formula an=a1+d(n-1)

A basketball player scored 14 times during one game. She scored a total of 15 ​points, two for each​ two-point shot and one for each free throw. How many​ two-point shots did she ​make? How many free​ throws?
She made ____ two-point shots

Answers

Answer:

The player made one two-point shot and 13 free throws.

Step-by-step explanation:

We can write a system of equations to model the situation.

Let t represent the number of two-point shots and let f represent the number of free throws made.

Since she scored a total of 14 times, the sum of two-pointers and free throws must equal 14. Hence:

[tex]t+f=14[/tex]

And since she scored a total of 15 points and each two-pointers is worth two points and every free throw is worth one:

[tex]2t+f=15[/tex]

Solve the system. We can use elimination. From the first equation, multiply both sides by negative one:

[tex]-t-f=-14[/tex]

We can add this to the second equation:

[tex](2t+f)+(-t-f)=(15)+(-14)[/tex]

Simplify:

[tex]t=1[/tex]

So, the player made only one two-point shot.

Using the first equation again, substitute one for t and solve for f:

[tex](1)+f=14\Rightarrow f=13[/tex]

Therefore, the player made one two-point shot and 13 free throws.

Answer:

Dependent and independent variables are variables in mathematical modeling, statistical modeling and experimental sciences. Dependent variables are studied under the supposition or demand that they depend, by some law or rule, on the values of other variables.

Step-by-step explanation:

Please help immediately! In desperate need!

Answers

9514 1404 393

Answer:

  see attached

Step-by-step explanation:

You know that f(0) = 2^0 = 1, so g(0) = -11 has been shifted down 12 units from f(x). A shift of half as much will be a shift down 6 units from f(x), or up 6 units from g(x).

In the attached, we have named the new function h(x). It is equivalent to g(x)+6. That is, you can add 6 to each of the g(x) table values to get the corresponding values for h(x).

At Bill’s Burger Barn, every time you buy a burger there is a one in eight chance of winning a free burger. Nicholas bought a hamburger every day for five days. What is the probability that Nicholas wins 1 free hamburger this week?

Answers

Answer:

im not sure about this one but my answer is 0.025.

Step-by-step explanation:

if there is a 1 out of 8 chance of getting a free burger,  convert that into 1/8. divide that by 5 and you get 0.025.

Convert the fraction greater than one into a mixed number 9/4

Answers

Answer: 2 1/4

Step-by-step explanation:

Can y’all help me on question 6?!

Answers

Answer:

B

Step-by-step explanation:

To find the area of a parallelogram you do A=(b)(h) so 20x8=160. It's 160ft^2 because area is measured in square units.

I believe the answer would be B. 160ft^2

Since you are looking for area, you need the little 2 at the end to signify that it is squared feet, so that eliminated A and C

Now, the area for a parallelogram is base(height) so it would be 20(8) which is 160

Since we have previously eliminated A and C for not having the feet squared, it would be B

Please correct me if I am wrong, have a good day!

Help plz I’m confused

Answers

Answer:

C.

Step-by-step explanation:

[tex]\frac{2}{3}[/tex] is between 0 and 1

Only 1 point is between 0 and 1

C.

The answer is point C. 2/3 is a fraction between 0 and 1. And since point C is between 0 and 1, then the answer is point C

Can someone help me again with these math work?

Answers

It lines up right at the, 2 1/2 inches mark so i believe that is your answer!
Alright let’s help you understand this time. So if you look at the board on the ruler. It passes through 1 inch and then 2 inches. But it doesn’t go to 3 inches. So the answer will be 2 inches and something. The board’s end is in between 2 inches and 3 inches, so it would be half, which is 1/2.
The answer is 2 1/2 inches

Find the area of the figure below

Options
360 ft²

240 ft²

275 ft²

300 ft²

Answers

Answer:

The total area is 300 ft^2

Step-by-step explanation:

First find  the area of the rectangle

A = l*w = 24*10 = 240

Then find the area of the triangle on the top

A = 1/2 bh

The base is 24 and the height is 15-10 = 5

A = 1/2 (24)*5 = 60

Add them together

240+60 = 300

The total area is 300 ft^2

Answer:

Total area of figure is 300 ft ²

Step-by-step explanation:

Finding the area of rectangle

We know that

Area of rectangle = length × width

Where,

length of rectangle = 10 ftwidth of rectangle = 24 ft

Substitute the values into the formula

Area = 10 ft × 24 ft

multiply ✖ , we get

Area of rectangle = 240 ft ²

Similarly, Finding the area of triangle

We know

Area of triangle = 1 /2 × Base × Height

Where,

Base of triangle = 24 ftHeight of triangle = 15 - 10 = 5 ft

Substitute the values

Area of triangle = 1 /2 × 24 ft × 5 ft

multiply

Area of triangle = 1/2 × 120 ft ².

divide , we get

Area of triangle = 60 ft ².

And Finally, Finding the total area

Total area of figure = Area of rectangle + Area of triangle

Total Area = 240 ft ² + 60 ft ²

➛ Total area of figure = 300 ft ²

Given that A=1/2πrh, make r the subject of the formula?​

Answers

Answer:

r=1/2πhA

Step-by-step explanation:

..................

Therefore, the formula of [tex]r[/tex] is [tex]2A(\pi h)^{-1}[/tex].

What is the equation?

The definition of an equation is a mathematical statement that shows that two mathematical expressions are equal.

Here given equation is

[tex]A=\frac{1}{2}\pi rh[/tex]

So,

[tex]A=\frac{1}{2}\pi rh\\\\r=2A(\frac{1}{\pi h})\\\\r=2A(\pi h)^{-1}[/tex]

Hence, the formula of [tex]r[/tex] is [tex]2A(\pi h)^{-1}[/tex].

To know more about the equation

https://brainly.com/question/12788590

#SPJ2

How to solve this?!?!? (5x+24)(9x+12) + (3x+9)(8x+6)(2x+7)

Answers

Answer and Step-by-step explanation:

First, multiply the parentheses, then add everything together.

-- (5x + 24)(9x +  12)

-- 45[tex]x^2\\[/tex] + 60x + 216x + 288 (Simplify)

-- 45[tex]x^2\\[/tex] + 276x + 288

--- (3x + 9)(8x + 6)

--- 24[tex]x^2\\[/tex] + 18x + 72x + 54 (Simplify)

--- 24[tex]x^2\\[/tex] + 90x + 54

---- (2x + 7)(24[tex]x^2\\[/tex] + 90x + 54)

---- 48[tex]x^{3}[/tex] + 180[tex]x^2\\[/tex] + 108x + 168[tex]x^2\\[/tex] + 630x + 378 (Simplify)

---- 48[tex]x^{3}[/tex] + 348[tex]x^2\\[/tex] + 738x + 378

----- 45[tex]x^2\\[/tex] + 276x + 288 + 48[tex]x^{3}[/tex] + 348[tex]x^2\\[/tex] + 738x + 378

----- 48[tex]x^{3}[/tex] + 393[tex]x^2\\[/tex] + 1014x + 666

48[tex]x^{3}[/tex] + 393[tex]x^2\\[/tex] + 1014x + 666 is the final answer.

#teamtrees #PAW (Plant And Water)

Answer:

[tex] \rm \displaystyle {48x}^{3} + 393 {x}^{2} +1014x + 660[/tex]

Step-by-step explanation:

we would like to simplify the following:

[tex] \rm \displaystyle (5x + 24)(9x + 12) + (3x + 9)(8x + 6)(2x + 7)[/tex]

there're two parts the multiplication the whole part to solve the multiplication part we can consider FOIL and for the whole, PEMDAS which can be represented as

[tex] \rm\displaystyle \rm \displaystyle \underbrace{\underbrace{(5x + 24)(9x + 12) } _{ \text{FOIL - 1}}+ \underbrace{ (3x + 9)(8x + 6)(2x + 7)} _{ \text{FOIL - 2}}} _{ \text{PEMDAS}}[/tex]

let's figure out FOIL-1 part

By FOIL we obtain:

[tex] \displaystyle {45x}^{2} + 60x + 216x + 288[/tex]

simplify addition:

[tex] \displaystyle {45x}^{2} + 276x+ 288[/tex]

let's figure out FOIL-2:

By FOIL and PEMDAS we acquire:

[tex] \rm \displaystyle {48x}^{3 } + {348x}^{2} + 738x + 378[/tex]

finally the whole part

[tex] \rm \displaystyle {45x}^{2} + 60x + 216x + 288+ {48x}^{3 } + {348x}^{2} + 738x + 378[/tex]

combine like terms:

[tex] \rm \displaystyle {48x}^{3} + 393 {x}^{2} +1014x + 660[/tex]

and we are done!

Which of the following values could be an absolute value?

Answers

Answer:

Step-by-step explanation: It could be 8,7, or 2. Because these are all positive

:)

Find the volume of each shape. Round your answer to two decimal places.with clear explanation.

Answers

Answer:

Volume = 111.33 in.³

Step-by-step explanation:

The volume of the shape = volume of the rectangular prism part + volume of the triangular prism part

✔️volume of the rectangular prism part:

V = L*W*H

Where,

L = 5.1 in.

W = 3.4 in.

H = 5.9 in.

V = 5.1*3.4*5.9

V = 102.306 in.³

✔️volume of the triangular prism part:

V = ½*b*h*l

b = 6 - 5.1 = 0.9 in.

h = 5.9 in.

l = 3.4 in.

V = ½*0.9*5.9*3.4

V = 9.027 in.³

✅Volume of the shape = 102.306 + 9.027

= 111.333 in.³

≈ 111.33 in.³ (approximated to 2 decimal places)

I need help with this problem

Answers

Step-by-step explanation:

y=sin ^-1(9/14) =44,27 degree

X= by pythegoras) =14 square - 9 square

= root 115

The interior angle of a polygon is 100 . The other interior angle are all equal to 110. how many sides has the polygon?​

Answers

There is a formula for the total interior angles of a polygon:

180(sides−2)=total interior angles

One of the angles is 100 and all the others are 110.

We can rewrite the equation.

Assume there is x number of sides.

There are x−1 number of angles, 110 degrees

180(x−2)=100+110(x−1)

180x−360=100+110x−110

70x−360=100−110

70x−360=−10

70x=3507x=35

x=5

There are 5 sides to the polygon.

We can check our answer:

180(sides−2)=total interior angles

Therefore it is true:

The polygon has 5 sides

I HOPE IT HELPS

HAVE A GREAT DAY

#Liliflim

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