If f(x)=49-x^2 and g(x)=7-x, which is the rule of the function (f-g)(x)?

A. -x^2-x-56
B. -x^2+x+42
C. 7+x
D. x^3-7x^2-49x=343

Answers

Answer 1

Answer:

B

Step-by-step explanation:

(f - g)(x) = f(x) - g(x), then

f(x) - g(x)

= 49 - x² - (7 - x) ← distribute by - 1

= 49 - x² - 7 + x ← collect like terms

= - x² + x + 42 → B


Related Questions

Use distributive property to rewrite

1. 4(x + 9)

2. 3 (-2x + 4)

Answers

1. 4x+36

2. -6x+12

and aww your pfp

Please I need help!!! I will mark you brainliest!!!

Answers

Answer:

It might be option C. Hope this helps!! Have a nice day!

c.)
18-2x² when x = -3

Answers

Answer:

0

Step-by-step explanation:

First, we plug in the -3 into the equation:

18 - 2(-3)^2

0

A car costs $3,500 and costs $4 in gas to drive fifteen miles. If another car costs $4,500 but only need $2 in gas to drive fifteen miles, after how many miles of driving would be the total cost of driving both cars be equal?

Answers

Answer:

500 miles

Step-by-step explanation:

Step one:

A car costs $3,500 and costs $4 in gas to drive fifteen miles

let the total cost be y and let the number of miles be x

y= 3500+4x-----------1

If another car costs $4,500 but only need $2 in gas to drive fifteen miles,

let the total cost be y and let the number of miles be x

y= 4500+2x----------------2

Step two:

Equate the two expressions for the total cost

3500+4x=4500+2x

solve for x

4x-2x=4500-3500

2x= 1000

divide both sides by 2

x= 1000/2

x= 500 miles

The ratio of girls to boys in a class is 3:2. There are 25 students in this class. How many are girls and how many are boys?

Answers

10 boys and 15 girls

what is the slope of the line that passes through the points (6,8) and (8,-9)?

Answers

[tex] \frac{ - 9 - 8}{8 - 6} = \frac{ - 17}{2} = - 8.5 [/tex]

can anyone help me with math teachers are blowing up my moms phone I need help

Answers

Answer: sure what are the problems

Step-by-step explanation:

find exterior angle​

Answers

Answer:

∡3 = 142°

Step-by-step explanation:

28° + 10° + ∡3 = 180° (Sum of angles in a triangle)

38° + ∡3 = 180°

∡3 = 180° - 38°

∡3 = 142°

Alternate method:

38° + ∡3 = 180° (Sum of angles on a straight line)

∡3 = 180° - 38°

∡3 = 142°

Answer:

38 degree + 180 degree = [ sum of angle on a straight line]

3= 180 degree - 38 degree

3= 142 degree.

·

What is the increase of 15837.77 by 8.5

Answers

Answer:

Introduction. Percent, p%

'Percent (%)' means 'out of one hundred':

p% = p 'out of one hundred',

p% is read p 'percent',

p% = p/100 = p ÷ 100.

8.5% = 8.5/100 = 8.5 ÷ 100 = 0.085.

100% = 100/100 = 100 ÷ 100 = 1.

Increase the number by 8.5% of its value.

Percentage increase = 8.5% × 15,837.77

New value =

15,837.77 + Percentage increase =

15,837.77 + (8.5% × 15,837.77) =

15,837.77 + 8.5% × 15,837.77 =

(1 + 8.5%) × 15,837.77 =

(100% + 8.5%) × 15,837.77 =

108.5% × 15,837.77 =

108.5 ÷ 100 × 15,837.77 =

108.5 × 15,837.77 ÷ 100 =

1,718,398.045 ÷ 100 =

17,183.98045 ≈

17,183.98

Calculate absolute change (actual difference)

Absolute change (actual difference) =

New value - 15,837.77 =

17,183.98045 - 15,837.77 =

1,346.21045 ≈

1,346.21

Proof.

Calculate percentage increase:

Percentage increase =

8.5% × 15,837.77 =

8.5 ÷ 100 × 15,837.77 =

8.5 × 15,837.77 ÷ 100 =

134,621.045 ÷ 100 =

1,346.21045 ≈

1,346.21

Janet hikes a trail at a local forest each day. The trail is 3.6 miles long, and she has hiked 5 days in the past week. How many miles has Janet hiked in the past week?

Answers

Answer:

7.2 miles

Step-by-step explanation:

Janet hikes a trail 3.6 miles long each day. Considering the forth and back path, she trails 2*3.6= 7.2 miles.

Since she has hiked 5 days in the past week, she has hiked 5*7.2 = 36 miles.

The question does not specify if the path back is to be considered. If not, then the total distance traveled is 3.6*5 = 18 miles.

Which of the following is equivalent to -(-7)?

-6
8
-7
7

Answers

Answer:

-7

Step-by-step explanation:

-7 is the equivalent to -(-7) because there are 2 negative signs

Answer:

The way you explained this question is confusing so I think it is -7

3. Write the number that is 3 less
than each number below
12
7
3

Answers

Answer:

9, 4, and 0

Step-by-step explanation:

All you do is subtract 3 from each number. 12-3=9. 7-3=4. 3-3=0.

HELPPPP PLEASEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE
coordinate plane with segments AB and A prime B prime with points L, M, N, and O at A 1 comma 2, B 1 comma negative 1, A prime 3 comma 2, B prime 3 comma negative 4, L negative 1 comma 4, M negative 1 comma 2, N negative 1 comma 0, and O negative 1 comma negative 2 segment AB was dilated by scale factor of 2 to create segment A prime B prime. Which point is the center of dilation? O N M L

Answers

Answer:(03.01 LC)

coordinate plane with segments AB and A prime B prime with points L, M, N, and O at A 1 comma 2, B 1 comma negative 1, A prime 3 comma 2, B prime 3 comma negative 4, L negative 1 comma 4, M negative 1 comma 2, N negative 1 comma 0, and O negative 1 comma negative 2

segment AB was dilated by scale factor of 2 to create segment A prime B prime.

Which point is the center of dilation? (1 point)

L

M

N

O

Step-by-step explanation:

To find the center of dilation, plot a line between the corresponding points of the pre-image and the image. First, plot a line through A and A'. Then, plot a line through B and B'.

Answer is M

pls help give u brainlist
7.5 the shipping fee
1.75 the shipping fee
1.75 the cost per video game
pls guys answer it

Answers

Answer:

The rate of change is [tex]\frac{7}{4}[/tex] or 1.75. That shows that the cost per video game is $1.75

Step-by-step explanation:

The change in y over change of x or slope can be calculated using the equation:

[tex]m=\frac{y_{2} -y_{1} }{x_{2}-x_{1} }[/tex] so take the last two points: (10, 25) and (15, 33.75).

33.75-25=8.75

15-10=5

8.75/5=1.75 (7/4)

x=video games

y=total cost

Since slope is change in y (cost) per change of x (video games), the answer is:

1.75 cost per video game

Find the difference.

(⅚x + 10) - (⅙x -5)

***Be Careful - that minus sign is subtracting BOTH terms in the 2nd parentheses.

Answers

Answer: 2/3x + 15

Step-by-step explanation:

(⅚x + 10) - (⅙x -5)

The first thing to do here is to open the bracket. This will be:

= ⅚x + 10 - ⅙x + 5

= ⅚x - ⅙x + 10 + 5

= 4/6x + 15

= 2/3x + 15

Please help! I really need assistance on this.

Answers

Step-by-step explanation:

SETH = 2.67 AMOS = 6

KARA = 4.8166667 TASH = 2.4

LIAM = 6 SONYA = 6

Answer:

Not sure

Step-by-step explanation:

at an airport it costs $7 to park for up to one hour and $5 per hour for each additinal hour

Answers

this is the answer hope it helps !!

-35-490 ÷7+12 PLEASE I NEED HELP URGENT

Answers

Answer: -93

Hope this helps!
Brainliest?

Answer:

-93

Step-by-step explanation:


-35-490 ÷7+12
= -35-(490 ÷7)+12
= (-35-70)+12
= -105 + 12
= -93

Brainliest to whoever answers this correctly!

Answers

The slope is a number that tells how steepness it is.

Meaning that the bigger slope it is, the more steepness it is.

We compare how steepness it is. Greater slope, greater steepness.

As plotted the graph of g(x) = -7x - 1

The g(x) does have more steepness than f(x).

Therefore, the answer is A.

HELPP!!!!! ASAPPP!!!!!!
Sam is collecting pennies. On the first day of the month, Sam is given 10 pennies. Each day after than he gets 2 more pennies. Which of the following equations defines how many pennies he has after the nth day?
an = 2n + 10
an = 10n + 2
an = 20n – 20
an = 10n - 2

Answers

Answer:

4n plus 16

Step-by-step explanation:

the answer is an = 2n + 10 :)

What’s the answer?????

Answers

Answer:

Decimal is .35

Discount is 17.49

Total is 32.5

Step-by-step explanation:

Answer:

Decimal is .35

Discount is 17.49

Total is 32.5

Can someone please help me solve this

Answers

Pretty sure it’s 81
Step by s
T
Do

Answer:

33 degree

Step-by-step explanation:

x+114+33=180 (sum of angle of triangle)

x=180-147

x=33

Give m||n crystals pls help

Answers

Answer:

x = 13

Step-by-step explanation:

x and 167 are a linear pair, x plus 167 will equal 180

x + 167 = 180

x = 180 - 167

x = 13

To check: x + x + 167 + 167 = 360

x = 13

13 + 13 + 167 + 167 = 360

26 + 167 + 167 = 360

26 + 334 = 360

360 = 360

Answer:

[tex]x = 13[/tex]

Step-by-step explanation:

[tex]x + 167 = 180(linear \: pair) \\ x = 180 - 167 \\ x = 13[/tex]

convert y=3x-2 to standard form

Answers

Answer:

y = 3 x−2

Step-by-step explanation:

Y + 2/5x =1 what does y equal?

Answers

the answer is Y=-2/5x+1 :)

Solve for x

X ÷ 39 = 1204 R38

Answers

Pretty sure X = 46956R, hope this helps!

Answer:

46994

Step-by-step explanation:

x ÷ 39 = 1204 + 38

x ÷ 39 = 1204 + 38

x ÷ 39 = 1242

x ÷ 39 × 39 = 1242 × 39

x = 46994

4
What fraction of ALL the pies were eaten in total?

Answers

Answer:

15/8

Step-by-step explanation:

3+7+5=15 and they are all cut into 8. i think!

Answer:

I really can't help but I suggest you ask the tutor straight away if you need it urgently.have a nice day kid.

Describe how you know that (8 + 9) + 3 is
equivalent to 8 + (9 + 3). What is the benefit
to using this property?

Answers

The numbers in the brackets needs to be added first and then add the number outside of it next... same goes to the second sum. Both questions have the same answer 20.Benefits are you can quickly identify the correct answer when multiplying and others.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

(8 + 9) + 3 is equivalent to 8 + (9 + 3) using the property of associative.

What is an expression?

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

(8 + 9) + 3 = 17 + 3 = 20

8 + (9 + 3) = 8 + 12 = 20

This is the property of associative.

Thus,

(8 + 9) + 3 is equivalent to 8 + (9 + 3) using the property of associative.

Learn more about expressions here:

https://brainly.com/question/3118662

#SPJ2

Jamie wants to treat some friends to lunch. He has $40 and knows that the lunch will cost about $7 per person, p. How many people can Jamie buy lunch for?

Answers

It can feed 5 people

Answer:

Yes the answer is 5 people. technically isover but you have round down because you can't feed 5.7 people XD

Step-by-step explanation:

Select the graph of the solution. Click until the correct graph appears.



|x| < 4

Answers

Answer:

The answer would be the one where the graph is between -4 and 4 but not including them. Since it is < it doesn’t include -4 or 4 and since it is less than 4 and absolute value it has to be between them.

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