Solve
x2 - 8x + 14 = 2x - 7

Answers

Answer 1

Answer:

x=7, x=3

Step-by-step explanation:

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

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

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

[tex]\mathrm{For\:a\:quadratic\:equation\:of\:the\:form\:}ax^2+bx+c=0\mathrm{\:the\:solutions\:are\:}[/tex]

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

positive

[tex]x=\frac{-\left(-10\right)+\sqrt{\left(-10\right)^2-4\cdot \:1\cdot \:21}}{2\cdot \:1}[/tex]

[tex]x=7[/tex]

negative

[tex]x=\frac{-\left(-10\right)-\sqrt{\left(-10\right)^2-4\cdot \:1\cdot \:21}}{2\cdot \:1}[/tex]

[tex]x=3[/tex]


Related Questions

9(-1x+1)-7(2x+5)

Im struggling with this one.​

Answers

Answer:

-16+54x

Step-by-step explanation:

9(-1x+1)-7(2x+5)

-9x+9-7x+45

-9x-7x+9+45

-16x+54

can someone pls help with this i need help or im finna drop out

Answers

Answer:

Step-by-step explanation:

ok. Angle bisectors always equal congruent angles.

It can also divide opposite sides into proportional segments (in triangles only)

Given: f(x) = 3 - x; g(x) = -2x Find g[f(-1)]. -8 -22 8

Answers

Answer:

-8

Step-by-step explanation:

I looked it up on   ma th way   like the previous user said and got -8.

Answer:

Hello, Brainly Users! The answer for this equation is "-8."

Step-by-step explanation:

Thr answer is -8! Have a great day, smarties!

Simplify 2(x – 4) + 32: Simplify 9x + 4(x + 2) – 5:

Answers

Answer:

Step-by-step explanation:

1)  

2(x – 4) + 32

Multiply it out.

2 * x - 2 * 4 + 32

2x - 8 + 32  

2x + 24

2)

9x + 4(x + 2) – 5

Multiply it out

9x + 4 * x + 4 * 2 - 5

9x + 4x + 8 - 5

13x + 3

Jacque needs to buy some pizzas for a party at her office. She's ordering from a restaurant that charges a $ 7.50 $7.50dollar sign, 7, point, 50 delivery fee and $ 14 $14dollar sign, 14 per pizza. She wants to buy as many pizzas as she can, and she also needs to keep the delivery fee plus the cost of the pizzas under $ 60 $6

Answers

Answer:

5 pizzas Sorry i may be wrong

Step-by-step explanation:

The inequality that models this situation is given by:

[tex]7.5 + 14p \leq 60[/tex]

--------------------------------

The first step towards building the inequality is finding Jacque's total spending.The delivery, which if a fixed fee(paid only once), is $7.50.Then, each pizza will cost $14, thus, the cost of buying p pizzas is [tex]14p[/tex].Thus, the total spending is of:

[tex]T = 7.5 + 14p[/tex]

--------------------------------

He wants the cost under $60, and thus:

[tex]T \leq 60[/tex]

Since [tex]T = 7.5 + 14p[/tex], the inequality is:

[tex]7.5 + 14p \leq 60[/tex]

A similar problem is given at https://brainly.com/question/17495861

i need help with this and i just copy and paste it.Beth's mother made some cookies. She put 4 cookies on each of 8 plates. Which multiplication sentence can be used to find the number of cookies Beth's mother made?

Answers

Answer:

4x8=32

Step-by-step explanation:

Answer:

4x8

Step-by-step explanation:

There are four cookies on each plate so you multiply how many cookies are on each plate by the amount of plates there is in total. there a four cookies on each plate with 8 plates in total so you multiply 4 by 8 which is 32. You could also do 4+4+4+4+4+4+4+4=32.

Jane has 35 hair bows. Jane's sister has H more hair bows than Jane. Write an expression that shows how many hair bows Jane's sister has.

Answers

Answer: 35+H

Step-by-step explanation:

Answer:

35 + H

Step-by-step explanation:

Jane has 35 hair bows.

Her sister has H more hair bows than Jane.

35 + H = The amount of hair bows Jane's Sister has.

If BC = 35 and AC =52 , find AB

Answers

Answer:

AB = 47 (answers may vary)

Step-by-step explanation:

BC = 35

AC = 52

C, in fact, can be any number you choose less than 35;

For example,

C= 20

35 - 20 = 15

B = 15

52 - 20 = 32

A = 32

AB = 32 + 15 = 47

Compare the graphs of the two functions f and g, given that f(x)=3^x. What is an equation for g? (I don’t have much time, thank you)

Answers

I think it would be B

difference of two numbers is 166. The sum of the same two numbers is 234. What are the two numbers?

Answers

Answer:

The numbers are 100 and 234

Step-by-step explanation:

Let the numbers be x and y

The statement

difference of two numbers is 166 is written as

x - y = 166.......... Equation 1

The sum of the same two numbers is 234 is written as

x + y = 234 ............. Equation 2

Solve the equations simultaneously

Add both equations 1 and 2

That's

x + x + y - y = 166 + 234

2x = 400

Divide both sides by 2

x = 100

Substitute the value into the first equation

That's

100 + y = 234

y = 100 - 234

y = 134

The numbers are 100 and 234

Hope this helps you

The answers are X= 100 and Y= 134

give f(x) =-5(2x+1)+6,what is the value of f(-2)​

Answers

Answer:

f(- 2) = 21

Step-by-step explanation:

To evaluate f(- 2) substitute x = - 2 into f(x)

f(- 2) = - 5(2(- 2) + 1) + 6 = - 5(- 4 + 1) + 6 = - 5(- 3) + 6 = 15 + 6 = 21

Estephania has 24 video games. She distributes them equally among her 3 younger siblings. How many video games does each sibling receive?

Answers

Answer:

6

Step-by-step explanation:24 divided by 4

Answer:

Each sibling receives 8 video games.

Step-by-step explanation:

24 : 3 = 8

round to the nearest 10 21,075

Answers

Answer:

21,080

Step-by-step explanation:

the 5 makes the 7 round up

Question 5 (6 points)
Write the equation of the line that passes through (1,3) and (-2,9)

Answers

Answer:

y=-2x+13

Step-by-step explanation:

slope equation= (y2-y1)/(x2-x1)

(9-3)/(-2-1)=(6/-3)=-2

slope changes by a factor of -2

y=mx+b ... find b, plug in values

9=-2(-2)+b

9+4=b

b=13

CHECK

9=-2(-2)+13

9=-4+13

9=9

CORRECT

Combining like terms
2 + 3x - X=4x

Answers

Answer:

Hi there!

Your answer is:

x= 1

Step-by-step explanation:

Goal- get all X's on one side, and all whole numbers on the other

2+3x -x = 4x

First, combine like terms on each side of the equal sign

2+ 2x = 4x

Next, think about the additive inverse property. What, added to 2x, equals 0? 2x + (-2x) =0! So, we subtract 2x from both sides!

2= 4x-2x

Simplify

2= 2x

Divide both sides by the coefficient of x (in this case, 2)

2/2 = x

2/2 is equal to 1

1= x

Hope this helps!

Answer:

x = 1

Step-by-step explanation:

Combining the x terms, we get  

2 + 2x = 4x, or 2 = 2x.

Then, after we divide both sides by 2 to isolate x, we get x = 1

what does the x equal too ?
15 - 2x = -3

Answers

Answer:

-2x = -3-15

-2x = -18

x = +9 :

Answer:

x=9

Step-by-step explanation:

isolate the variable by dividing each side by factors that don't contain the variable

Which ordered pair is not a solution of f(x) = 2x + 9? A. (0,9) B. (7, 23) C.(3, 14) D.(2, 13)​

Answers

Answer:

The answer is C (3, 14)

Jay needs $20 to buy her radio she has saved $15 what percent of the cost of the radio has she saved

Answers

Answer:

25% would be the answer hope this helps. have a good day!

Answer: 75%

Step-by-step explanation:

0.75 x 20 = 15

URGENT PLEASE HELP Definitely need the correct answers as I am failing precalculus

Answers

Answer (first one):

[tex]{x|-2\leq x\leq 8}[/tex]

Step-by-step explanation:

think of f(x) as y.

[tex]y>-2[/tex]

Now find the parts on the x axis that correspond with parts on the y value that are greater than -2.

[tex]x\geq -2 \\x \leq 8[/tex]

This would be all of the numbers between -2 and 8 (inclusive).

The reason it is inclusive is because the arrow ends are shaded in.

Function Notation answers

Answers

Wait what are answering

Some rational numbers are whole numbers. True or False

Answers

Answer:

False

Step-by-step explanation: A rational number is any number can be expressed as a fraction. Whereas, a whole number is a positive number without a decimal or fractions. Every rational number is may or may not be a whole number.

The statement "Some rational numbers are whole numbers" is:

True

Some rational numbers are whole numbers. True or False?

A rational number is any number that can be expressed as a fraction of two integers, where the denominator is not zero. A whole number is any integer that is not negative.

All whole numbers are rational numbers. This is because any whole number can be expressed as a fraction with a denominator of 1.

For example, the whole number 3 can be expressed as the rational number 3/1.

However, not all rational numbers are whole numbers. For example, the rational number 1/2 is not a whole number, because it cannot be expressed as a fraction with a denominator of 1.

Therefore, "Some rational numbers are whole numbers" is True.

Learn more about rational numbers on:

brainly.com/question/22221295

#SPJ6

$50 $10 $400 what do I do?

Answers

In 35 weeks he will have $400

Answer: The answer is 40 weeks

Step-by-step explanation: Just divide the amount of money Nick is putting in each week which is $10, by 400. Whatever number you get, is how many weeks it would take to get to $400.

-(-2x + 2) =
umm i need help its simplifying btw

Answers

Answer:

= 2x - 2

Step-by-step explanation:

-(-2x + 2)

= -(-2x) - (2)

= 2x - 2

Hey what is x*x*x= ? Really need some help, unsure heh heh.

Answers

Answer:

[tex]x^{3}[/tex]

Step-by-step explanation:

multiply x by x

[tex]x^{2}[/tex] · [tex]x[/tex]

Multiply [tex]x^{2}[/tex]    by [tex]x[/tex]    by adding the exponents.

Raise  [tex]x[/tex] to the power of  1

[tex]x^{2}[/tex] · [tex]x^{1}[/tex]

Use the power rule [tex]a^{m} a^{n} = a^{m+n}[/tex] to combine exponents.

[tex]x^{2+1}[/tex]

add 2 and 1

[tex]x^{3}[/tex]

Answer

it can also be x^3...........

Easy 7th grade work . I’ll give brainliest.

Answers

Answer:

Step-by-step explanation:

672 - (-36) = 672 + 36 = 708 degrees

what is the best measure of center to use in grading work? (iqr or range)

Answers

igr, i’m pretty sure
Iqr Im sureeee it is

Find the number that makes the two fractions equivalent.
4/5=?/20

Answers

Answer:

4/5=16/20

Step-by-step explanation:

because

4x4

Answer:

16

Step-by-step explanation:

20 divided by 5 is 4.

This means both numbers on the left side must be multiplied by 4 to get the right side.

4 times 4 is 16.

ethan monthly salary is $1850 in a particular month he spent 20.5%of his salary on room rental $690 on food and $940 on other expenses express the amount that he overspent as a percentage of his monthly salary , giving your answer correct to 2 decimal places

Answers

rich because all that money

The tree diagram shows all the possible combinations for heads (H) and tails (T) when 3 coins are tossed. What is the probability that the outcome has at least two heads?

Answers

Answer:

No diagram so I'll make one:

H H H

H H T

H T H

T H H

T T H

T H T

H T T

T T T

There are 8 possible outcomes and four of these have 2 heads.

Probability = 4 / 8 = .50

Step-by-step explanation:

Probability of getting at least two heads after tossing 3 coins is equals to (1 / 2).

What is probability?

" Probability is defined as a mathematical statement which represents the ratio of number of favourable outcomes to the total number of outcomes."

Formula used

Probability = [tex]\frac{Number of favourable outcomes}{Total number of outcomes}[/tex]

According to the question,

Number of coins tossed =3

As shown in the tree diagram drawn we have,

Total number of outcomes = 8

At least two heads means 2 or more than two

Here.

HHH, HHT,HTH, THH

Number of favourable outcomes of getting at least two heads = 4

Substitute the value in the formula of probability we get,

Probability = (4 / 8)

                  = ( 1 / 2)

Hence, probability of getting at least two heads after tossing 3 coins is equals to (1 / 2).

Learn more about probability here

https://brainly.com/question/11234923

#SPJ2

Sakura buys some softballs at $3 each and bats at $35 each for her PE class.
She buys twice as many balls as bats. She spends $131 in total, which
includes $8 tax. Which equation would you use to find the number of bats she
buys?
Let x represent the number of bats she buys.

Answers

Given :

Cost of each ball , $3.

Cost of each bat , $35 .

Total money spend , $131 .

She buys twice as many balls as bats.

Tax , $8 .

To Find :

The number of bats she  buys .

Solution :

Let , x represent the number of bats she buys.

So , number of balls she buys is 2x .

[tex]35x+3(2x)+8=131\\\\35x+6x=123\\\\41x=123\\\\x=3[/tex]

Therefore , number of bats she buys is 3 .

Hence , this is the required solution .

Answer:

Cost of each ball , $3.

Cost of each bat , $35 .

Total money spend , $131 .

She buys twice as many balls as bats.

Tax , $8 .

To Find :

The number of bats she  buys .

Solution :

Let , x represent the number of bats she buys.

So , number of balls she buys is 2x .

Therefore , number of bats she buys is 3 .

Hence , this is the required solution .

Step-by-step explanation:

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