If f(x)= x2 + 2x - 6 and g(x)= 3x2 - 5x - 7, find f(x)-g(x

Answers

Answer 1

Answer:

- 2x² + 7x + 1

Step-by-step explanation:

f(x) - g(x)

= x² + 2x - 6 - (3x² - 5x - 7) ← distribute parenthesis by - 1

= x² + 2x - 6 - 3x² + 5x + 7 ← collect like terms

= - 2x² + 7x + 1


Related Questions

6. Solve the equation and state a reason for each step. 3x +4 = 13​

Answers

Answer:

x=3

Step-by-step explanation:

3x+4=13

-4=-4

3x=9

÷3=÷3

x=3

x=3
in this situation 3x+4=13
so you put 3 where x is and it would look like: 3(3)+4=13
3(3)=9
which makes 9+4= 13

Please help I'm having trouble with 2,3,4

Answers

Answer:

Your correct

Step-by-step explanation: x(-x) = -x

-5x-2x-1=-10

and the last one right too

Answer:

you were correct on 2/3

2. Negative

3. Negative

4. Negative

Step-by-step explanation:

...

Which of the following are polynomials?
A- a^0

B- 0

C- a^0 + 17

Answers

I believe it’s b I’m not really sure
C because a polynomial has several terms

Given 4x(5x+6)=-5 what value of x makes this equation true?

Answers

Answer:

x = 8.8

Step-by-step explanation:

4x(5x+6)=-5

20x + 24x = -5

44x = -5

44 divided by 5 equal 8.8

x = 8.8

pls mark brainlest ;)

Hope this helps you :)

The sum of three numbers is 12. The second number is equal to the sum of the first and third numbers. Twice the first number exceeds the second number by 4. Find the numbers.

Answers

Answer:

          the first number is 5           the first second is 6           the first number is 1

Step-by-step explanation:

x   - first number

2x   - twice the first number

twice the first number exceeds the second number by 4 so:

2x-4   -the second number

y - the third number

the second number is equal to the sum of the first and third numbers:

2x-4 = x + y

x + y = 2x - 4

  -x        -x

y = x - 4       - the third number

the sum of three numbers:

x + 2x-4 + x-4 = 4x - 8

The sum of three numbers is 12 so:

4x - 8 = 12

   +8       +8

  4x = 20

  ÷4    ÷4

   x = 5

2x-4 = 2•5 - 4 = 6

x-4 = 5 - 4 = 1

Check:

5+1 = 6

2•5 = 10,  10-4 = 6

2x – 3y = 18
Solve for y.

Answers

Answer:

y= -6+2/3x

Step-by-step explanation:

2x-3y=18

Minus the 2x from both sides

-3y=18-2x

Then divide both sides by -1

-3y÷-1=18÷-1 -2x÷-1

Lastly divide both sides by 3

3y÷3= -18÷3+2x÷3

The equation 2x - 3y = 18 can be written as y = (2/3)x - 6 after arranging the terms and making subject y.

What is a linear equation?

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

It is given that:

The equation is:

2x – 3y = 18

2x - 3y = 18

-3y = 18 - 2x

y = (2/3)x - 6

Thus, the equation 2x - 3y = 18 can be written as y = (2/3)x - 6 after arranging the terms and making the subject y.

Learn more about the linear equation here:

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Ummmmmm Helppppppp Needeeeeeed

Answers

Answer:

I dont really know, but you dont have to listen but i think its D! its D!

Answer:

d: [tex]20(n-1)[/tex]

Step-by-step explanation:

[tex]2\left(n-7\right)-3\left(2-6n\right)[/tex]

Expand:

[tex]2n-2*7-3*2-(-3)*6n[/tex]

[tex]2n-14-6+18n[/tex]

[tex]2n+18n-14-6[/tex]

[tex]20n-20[/tex]

Factorise:

[tex]20(n-1)[/tex]

-. Jane bikes at a rate of 12 miles per hour. Write an expression for the amount
she bikes in h hours.

Answers

Answer:

12h

Step-by-step explanation:

Since we know that Jane rides her bike at the rate of 12 miles per hour,

12h

Which is the mode in this data set 55,78,43,39,78,61,75,50,43,78

Answers

Answer:

the mode is 78 out of all the numbers

Which of the following is not a kind of consumer credit?
a installment credit
b personal loans
c service credit
d marginal credit

Answers

Answer:

✅ D. marginal credit

⬇️ I got 100% on the test

(8w)^2 without parentheses

Answers

Answer:

I believe the answer would be 64w2.

Step-by-step explanation:

8 squared is 8 x 8, which equals 64, and then w squared is just w2, since we don't know what it is. Put them together, and the answer is 64w2.

Riley is building a garden box for his backyard. He wants the perimeter to be 32
ft long. If he makes the width 6 ft, what will be the length of the garden box?
ft

Answers

The length of the garden box would be 10ft if the width is 6ft.

true or false? in a two column proof, the left cloumn contains a series of deductions

Answers

Answer:

True

Step-by-step explanation:

The left column is for deductions

The right column is for reasons

Find the midpoint of the segment with the given endpoints.
(-10,10) and (-9,6)

Answers

Answer:

The answer is

[tex]( - \frac{19}{2} \: , \: 2)[/tex]

Step-by-step explanation:

The midpoint M of two endpoints of a line segment can be found by using the formula

[tex]M = ( \frac{x1 + x2}{2} , \: \frac{y1 + y2}{2} )[/tex]

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

(-10,10) and (-9,6)

The midpoint is

[tex]M = ( \frac{ - 10 - 9}{2} , \: \frac{10 - 6}{2} ) \\ = ( - \frac{19}{2} \: , \: \frac{4}{2} )[/tex]

We have the final answer as

[tex]( - \frac{19}{2} \: , \: 2)[/tex]

Hope this helps you

Select the correct answer. When Matt rewrote the given expression, he got 18. (36) 1/2 Which statement is correct? Matt rewrote the expression incorrectly. The expression is equivalent to 6. Matt rewrote the expression incorrectly. The expression is equivalent to 9. Matt rewrote the expression correctly. Matt rewrote the expression incorrectly. The expression is equivalent to 1/18

Answers

Answer: Choice A) He wrote it incorrectly. He should have gotten 6.

This is because exponents of 1/2 are the same as square roots.

[tex](36)^{1/2} = \sqrt{36} = 6[/tex]

Matt probably thought it was 36 times 1/2, which may explain how he got 18.

Matt rewrote the expression incorrectly. The expression is equivalent to 6. Option A is correct.

Given that,
Matt rewrote the given expression, he got 18. [tex](36)^{1/2}[/tex] Which statement is correct is to be determined.

What is arithmetic?

In mathematics, it deals with numbers of operations according to the statements.

What is simplification?

The process in mathematics to operate and interpret the function to make the function simple or more understandable is called simplifying and the process is called simplification.

Since matt made a mistake in his calculation, let correct the calculation and determined what should be the matt mistake.

Simplification
[tex]= (36)^{1/2}\\= (6^2)^{1/2}\\=(6)^{2 * 1/2}\\= 6[/tex]

Thus, Matt rewrote the expression incorrectly. The expression is equivalent to 6. Option A is correct.

Learn more about arithmetic here:

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6x - 2 (x + 2) > 2 - 3 (x + 3)
whats the solution?

Answers

Answer:

x>−3/7

Step-by-step explanation:

I hope this helps you

a cup of coffee contains 150 milligrams of caffeine. if caffeine is eliminated from the body at a rate of 14% per hour, how long will it take for half of this caffeine to be eliminated from a person's body? round your answers to the nearest hour

A. 7 hours B. 6 hours C. 5 hours
D. 4 hours​

Answers

Answer:

Step-by-step explanation:

14% of 150 mg = 0.14* 150 = 21 mg

21 mg will be eliminated  from our body in an hour

150/21 = [tex]7\frac{3}{21}[/tex]

  = 7 hours { rounding to the nearest}

Simplify by combining like terms: 4g + 6g - 3g​

Answers

Answer:

7g is correct answer

Step-by-step explanation:

4g+6g-3g

=10g-3g

=7g

hope it helped you:)

Answer:4g + 6g - 3g = 7g

Step-by-step explanation:because 4+6 is 10 so 3 less than 10 it equals 7

WILL GIVE BRAINLIEST!!!
Cassandra rents a bicycle while on vacation.


The table below shows the cost of renting a bicycle y, per hour, x.


What is the slope (m) that is defined by the table?


Explain using 2-3 sentences or show each step.

Answers

Answer:

m = 6

Step-by-step explanation:

Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Simply choose 2 points and plug them into the formula to find slope m:

(1, 20)

(2, 26)

[tex]m=\frac{26-20}{2-1}[/tex]

[tex]m=\frac{6}{1}[/tex]

m = 6

Write scientific notation 1081

Answers

Answer:

1.08 x 10³

Step-by-step explanation:

Calculating scientific notation for a positive integer is simple, as it always follows this notation: a x 10b.

Follow the steps below to see how 1,080 is written in scientific notation.

Step 1

To find a, take the number and move a decimal place to the right one position.

Original Number: 1,080

New Number: 1.080

Step 2

Now, to find b, count how many places to the right of the decimal.

New Number: 1 . 0 8 0

Decimal Count: 1 2 3

There are 3 places to the right of the decimal place.

Step 3

Building upon what we know above, we can now reconstruct the number into scientific notation.

Remember, the notation is: a x 10b

a = 1.08 (Please notice any zeroes on the end have been removed)

b = 3

Now the whole thing:

1.08 x 10³

Step 4

Check your work:

10³ = 1,000 x 1.08 = 1,080

Hope this helped

simplify the expression.
7yz / -2z

Answers

4x+7x=11
Hope this helped!!

What is the slope of the line described by the equation below?
4x-y=3
A. 1/4
B. -1/4
C. -4
D. 4

Answers

Answer: 4

Step-by-step explanation: First convert the equation to y = mx + b form.

Start by subtract 4x from both sides to get -y = -4x + 3.

From here, divide both sides by -1 to get y = 4x - 3.

Now in y = mx + b form, the slope is the multiplier, or the m.

So here, 4 is the slope.

Answer:

(D) 4

Step-by-step explanation:

In order to find the slope you need to rearrange the equation so that y is alone on one side, so:

4x - y = 3

-y = -4x + 3

y = 4x - 3

The slope is the coefficient in front of x, so the slope is 4

Find the midpoint of the line segment joining the points R(-5,5) and S(4.6).

Answers

Hey there! I'm happy to help!

To find the x value of the midpoint, you add the x values and divide by 2.

-5+4=-1

-1/2=-1/2

For the y value, you add the y values and divide by 2.

5+6=11

11/2=5 1/2

So, the midpoint is (-1/2, 5 1/2).

Have a wonderful day! :D

How many solutions does the equation 3x + 15 = 2x + 10 + x + 5 have?

Answers

Answer:

18=18

Step-by-step explanation:

it dosent give x so just put them all together without x and its equal so(=)

Please help! Urgent! I am giving brainlist.

Answers

I believe it would be D :) Not 100% sure though.

3 - 4x = 6x + 93

Please help with this question

Answers

Answer:

-9

Step-by-step explanation:

X=-9

Step-by-step

Simplifying

3 + -4x = 6x + 93

Reorder the terms:

3 + -4x = 93 + 6x

Solving

3 + -4x = 93 + 6x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-6x' to each side of the equation.

3 + -4x + -6x = 93 + 6x + -6x

Combine like terms: -4x + -6x = -10x

3 + -10x = 93 + 6x + -6x

Combine like terms: 6x + -6x = 0

3 + -10x = 93 + 0

3 + -10x = 93

Add '-3' to each side of the equation.

3 + -3 + -10x = 93 + -3

Combine like terms: 3 + -3 = 0

0 + -10x = 93 + -3

-10x = 93 + -3

Combine like terms: 93 + -3 = 90

-10x = 90

Divide each side by '-10'.

x = -9

Simplifying

x = -9

Katrina drinks .5 gallons of water per day which expression shows how to find the number of cups of water she drinks in a week

Answers

Answer:

8w = 3.5gal

Step-by-step explanation:

1 gal = 16c

0.5gal = 8c

W = 7

8w = 3.5gal

What would be the exponent if you put the number 0.00427 into scientific notation?

Answers

0.00427 uh uh I think I'm I think its red 1667

Answer

0.00427×10

0.0427

0.0427×10

0.427

0.427×10

4.27×10‐³

what is 7.8764 rounded as the nearest cent? WILL MARK BRAINLIEST!

Answers

Answer:

$7.88 i believe

Step-by-step explanation:

$7.88 I THINK €}*{^~*{{¥<>|*\+|

Jason jogs around a circular track at an average rate of 3 laps in 5 minutes. At this rate, how many laps can Jason complete in 35 minutes?

Answers

Answer:

21 laps

Step-by-step explanation:

35 divided by 5 equal 7

3 times 7 = 21

hope this helps you ;)

pls give me brainlest :)

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