Given that f(x) = x^2 – 2x - 63 and g(x) = x + 7, find (f - g)(x)

Answers

Answer 1

Answer:

(f - g)(x) = x² - 3x - 70

General Formulas and Concepts:

Pre-Algebra

Distributive Property

Algebra I

Combining Like Terms

Step-by-step explanation:

Step 1: Define

f(x) = x² - 2x - 63

g(x) = x + 7

(f - g)(x) is f(x) - g(x)

Step 2: Find (f - g)(x)

Substitute:                               (f - g)(x) = x² - 2x - 63 - (x + 7)Distribute -1:                            (f - g)(x) = x² - 2x - 63 - x - 7Combine like terms (x):          (f - g)(x) = x² - 3x - 63 - 7Combine like terms (Z):          (f - g)(x) = x² - 3x - 70

Related Questions

Bir su deposunun 17/24 şu ile doludur depodaki suyun 80 litresi kullaninca deponun yarısı dolu oluyor buna göre deponun tamamı kaç litre su alir

Answers

Answer:

384 Litre

Step-by-step explanation:

Tankın alabileceği toplam su miktarı = x

(17/24) x - 80 Litre = 1 / 2x

Benzer terimleri toplayın

17 / 24x - 1 / 2x = 80 Litre

5 / 24x = 80 Litre

5x / 24 = 80 Litre

Çapraz Çarpma

5x = 80 Litre × 24

x = 80 Litre × 24/5

x = 384 Litre

Dolayısıyla tüm tankın alabileceği su miktarı 384 Litredir.

I’ll mark brainliest what’s 1228822882-1228822882?

Answers

0

Subtract

Answer is 0

Hope this helps

God bless!

Answer:

oofff

Step-by-step explanation:

Choose Yes or No to tell if 14.3 will make each equation true.
19.05 + □ = 33.35
□ + 32.62 = 45.92
62.01 – □ = 47.71
□ – 4.88 = 9.42

Answers

1. Yes
2. No
3. No
4. Yes

Find the radius of the base of a cylinder with a volume of 1357.17 cm3 if the height of the cylinder is twice the length of the radius.

Answers

Answer:

6cm

I hope it will be useful.

answer to be marked as brainlist

Answers

Answer:

The SF is 3

Step-by-step explanation:

The sides are 3x the length of the sides of ∆ABC

Kendall bought 6 notbooks and 3 pens for a total of $27. The cost of one notebook is $1.50 more than the cost of one pen. What is the combined cost of one notebook and one pen?

Answers

Answer:

$5.5

Step-by-step explanation:

6 * N (notebook) + 3 * P (pen) = 27

n = 1.5 +P

6 * (1.5 + P) + 3 * P = 27

9 +6p +3p = 27

9p = 18

p (pen): $2

N (notebook): $3.5

combined cost of 1 pen and 1 notebook: $2 + $ 3.5 = $ 5.5

Answer:

5.5

Step-by-step explanation:

^

What is the value of x in the equation 8 + x = 3? (4 points) −5 5 11 24

Answers

Answer:

-5 is the correct answer

Answer:

-5

Step-by-step explanation:

6. Given the function f(x) = 7x determine the equation of a new function, g(x), that is reflected over
the x-axis and then shifted 4 units down.
a. g(x) = 7x + 4
b. g(x) = -7x + 4
c. g(x) = 7x - 4
d. g(x) = -7x - 4

Answers

Answer:

d. g(x) = -7x - 4

Step-by-step explanation:

If it is reflected over the x-axis, there is a negative sign to the x term.

There is a shift of 4 units, so it is -4.

Christina must run around the rectangular soccer field during practice. The football field It measures 60 meters long by 45 meters wide. How far did Christina run?

Answers

Answer:

210 meters

Step-by-step explanation:

you have $56 to spend on your family dinner each entree cost $8 and each cost $4

Answers

Answer:

ok I don't understand the problem.?

Step-by-step ex

There is no information here.

There isn't even a question. lol

which angle has its terminal side on the negative y-axis?

Answers

A positive [tex]\frac{3\pi }{2}[/tex] radians angle’s terminal side falls on the negative y-axis.

Angle

The starting side of the angle is the primary ray, whereas the end position of the ray following rotation is the terminal side of that angle.

How to find the angle that has its terminal side on the negative y-axis?

A positive 270 degree angle’s terminal side falls on the negative y-axis as shown in the figure.

Hence, a positive [tex]\frac{3\pi }{2}[/tex] radians angle’s terminal side falls on the negative y-axis.

Thus, option (B) is correct.

Consider the following figure for this.

Learn more about the angle here-

https://brainly.com/question/13954458

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Answer: B

Step-by-step explanation:

You buy 3 bags of sand and 2 bags of pea gravel for $21. In a second purchase (at the same prices), you buy 2 bags of sand for $10. Let x represent the price (in dollars) per bag of sand and let y represent the price (in dollars) per bag of pea gravel. Use a graph to find the price per bag of sand and the price per bag of pea gravel.

Answers

Answer:

the slope for your graph will be 3/5x

Step-by-step explanation:

in order to get our answer first we must use equations to find how much money a bag or pea gravel/sand then we can use this to make our graph.

Look at the demonstation I've shown you

Karl needs to build a stage that has an area of 84 square feet. The length of the stage should be longer than the width. What are the possible whole number measurements for the length and width of the stage? Complete the table with possible measurements of the stage. Length Width 1 2 3 4 6 7

Answers

Answer/Step-by-step explanation:

84 = L x w

84 = 84 x 1

84 = 42 x 2

84 = 28 x 3

84 = 21 x 4

84 = 14 x 6

84 = 12 x 7

Answer:

below is the answer

Step-by-step explanation:

84 = L x w

84 = 84 x 1

84 = 42 x 2

84 = 28 x 3

84 = 21 x 4

84 = 14 x 6

84 = 12 x 7

20 pts
The graph below shows the numbers of cups of mango juice that are mixed with different numbers of cups of lemon-lime soda to make servings of mango soda:

What is the ratio of the number of cups of mango juice to the number of cups of lemon-lime soda?

1:40
10:1
40:1
1:10

Answers

Answer:

It'a B. 10:1

Step-by-step explanation:

The graph of the equation x – 2y = 5 has an x-intercept of 5 and a slope of StartFraction one-half EndFraction. Which shows the graph of this equation?

A coordinate plane with a line passing through (0, negative 2) and (4, 0).

A coordinate plane with a line passing through (0, 0.5) and (1, negative 1.5).

A coordinate plane with a line passing through (negative 2, 0) and (0, negative 1).

A coordinate plane with a line passing through (negative 3, negative 4) and (5, 0).

Answers

Answer:

Graph D

Step-by-step explanation:

Look, I'm trying here, I tried the graphing calculator and it appeared as Graph D

The graph of the equation is a coordinate plane with a line passing through (-3, -4) and (5, 0). Option D is correct

Equation of a line

A line is the shortest distance between two points. The equation of a line in slope intercept form is expressed as y = mx + b

where:

m is the slopeb is the y-intercept

Given the equation x - 2y = 5

Write in slope-intercept form;

-2y = -x + 5

y = 1/2 x - 5/2

We need two points passing through the line, we will find the x and y-intercept

If x = -3

y = 1/2(-3) - 5/2

y = -3/2 - 5/2
y = -4

Hence one of the coordinate point is (-3, -4)

If x = 5

y = 1/2(5) - 5/2

y = 5/2 -5/2

y = 0

Hence one of the coordinate point is (5, 0)

Hence the graph of the equation is a coordinate plane with a line passing through (-3, -4) and (5, 0).

Learn more on equation of a line here: https://brainly.com/question/18831322

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a hiker walks at a speed of 3 2/5 km per hour. how many km will he walk in 3/4 of an hour

Answers

Answer:

2.55

Step-by-step explanation:

which choice is equvalent to the expression below 5^9.96
a. 5^9 • 5^96/10 • 5^9/100
b. 5^9•5^9/10•5^6/100•5^9/1000
c. 5^9+5^9/10+6^6/100
d. 5^9+9/10+9/10+6/1000​

Answers

Answer:

B

Step-by-step explanation:

5^9•5^9/10•5^6/100•5^9/1000 = 5^(9+0.9+0.06+0.009) = 5^9.969

B !! I’m going by what the above answer say !

PLZ HELP ASAP MARK BRAINLIEST VIEW PICTURE!!

Answers

Answer: The second option

Step-by-step explanation: 14mph times 5 equal 70. 5 hours after 6 am is 11 am. 70 divided by 20 is 3.5. 3.5 hours after 6 am is 9:30. Hence 9:30 to 11

pls help in a rushhh will give points

Answers

Answer:

The answer is 120

Step-by-step explanation:

A triangle has 180 degrees in it total.

So all you have to do is 180 - 35 -25, and get your answer.

356 kilograms of flour were packed into sacks holding 2 kilograms each. How many sacks were packed?_____sacks.

Answers

Answer:

178 should be the right answer

Step-by-step explanation:

356 divided by 2

Preston started the summer owing $15 to his brother and $20 to his sister. He earned $75 mowing lawns, and paid his brother and sister back what he owed them. Which expression represents the amount of money that Preston has after paying back his brother and sister?

Answers

Answer:

$75 - $15 - $20 = $40

Step-by-step explanation:

Given that:

Money owed by Preston to his brother = $15

Money owed by Preston to his sister = $20

Total money earned by Preston = $75

Now, the money is paid back that he owed to his sister and brother.

To find:

The expression to represent the amount of money left with Preston after clearing all his dues?

Solution:

Once Preston pays back the money that he owed to his brother and sister, he will not have all $75 left with him.

He will have lesser amount of money.

Money left with Preston = Total money earned by Preston - Money owed to brother - Money owed to sister

Putting the values given as per the question statement, we get:

Money left with Preston = $75 - $15 - $20 = $40

Therefore, the expression to represent the amount of money left with Preston = $75 - $15 - $20 = $40

Graph a line that has a slope of -3 and contains the point (4,-2)

Answers

Answer:

The equation of the line is:

[tex]y = -3x+10[/tex]

The graph is attached below.

Step-by-step explanation:

Given that the line has a slope of -3, so

m = -3

As the point contains the point (4, -2), so we can use the point-slope form of the line equation to determine the line.

Point slope form:

[tex]y-y_1=m\left(x-x_1\right)[/tex]

where m is the slope of the line and (x₁, y₁) is the point

so substituting the values m = -3 and the point (4, -2)

[tex]y-y_1=m\left(x-x_1\right)[/tex]

[tex]y - (-2) = -3(x-4)[/tex]

[tex]y+2 = -3x+12[/tex]

[tex]y = -3x+12-2[/tex]

[tex]y = -3x+10[/tex]

Therefore, the equation of the line is:

[tex]y = -3x+10[/tex]

The graph is attached below.

1. Sharon used 3 cups of water with
every 2 cups of lemon juice to make
lemonade. Find the ratio of the amount
of lemon juice used to the amount
of water used

Answers

Answer:3:2 is the answer i am very sure

Step-by-step explanation:

Please help me please

Answers

substitute the values given to you into the equation:
x-(y+z)
x=9
y=3
z=2
9-(3+2)
the answer is A.
your answer would be A!

PLEASE HELP!!
Find all missing angles

Answers

Answer:

m∠2= 52° (alt. ∠s)

m∠1 +m∠2= 180° (adj. ∠s on a str. line)

m∠1 +52°= 180°

m∠1= 180° -52°

m∠1= 128°

m∠3= 47° (alt. ∠s)

m∠4 +47°= 180°

m∠4= 180° -47°

m∠4= 133°

m∠5 +52° +47°= 180° (adj. ∠s on a str. line)

m∠5 +99°= 180°

m∠5= 180° -99°

m∠5= 81°

☆ The sum of the angles of a straight line is 180°.

in a survey of 500 voters 430 said they would vote for the same candidate again what percent of the voters would vote the same way again

Answers

Answer:

86%

Step-by-step explanation:

430 × 100 = 430 = 86%

500 1 5

you are going to cancel. 100 divided by 100 leaves 1. 500 divided by 100 is 5.

430×1= 430. 5×1=5. divide 430 by 5 and you"ll get 86.

How could the numbers 2, 3, 4, and 5 be used to get 10?
es
1)
A
2(4) - 3 + 5
2 +3-4 + 5
5-2-3+ 4
B)
D)
5(3)- 2(4)

Answers

Answer:

2(4)-3+5

Step-by-step explanation:

8-3+5

13-3

10

Answer:

i would say a

Step-by-step explanation:

Linear Function #3!!!

Answers

Answer:

The bottom left table

Step-by-step explanation:

The only table that is a line is the bottom left


Change the word sentence into a mathematical equation. Tell what each variable represents.
1. A music club membership costs $17.00 and $7.00 per CD.
2. The total cost of a carpet is $3.00 times the number of square feet.
3. The amount of money you earn for allowance is $20 times the number of months.
4. The cost of belonging to a fitness club is $200 to join and $30 a month in membership dues.

Answers

Answer:

1. $17 + $7C.

This equation provides the total cost if you want to purchase a music CD along with a music club membership. C represents the amount of CDs you wish to purchase, and since each CD costs $7, the amount of money you would need to purchase C amount of CDs is $7C.

2. $3A.

This equation provides the total cost of the area of carpet you want to purchase. A represents the area of the carpet that you want to purchase, measured in square feet as provided by the question, and since each square foot costs $3, the total cost is $3A.

3. $20M.

This equation provides the total money you earn for allowance after M months. M is the number of months that have passed, and since you earn $20 for allowance every month, the total allowance you have earned is $20M.

4. $200 + $30M.

This equation provides the total cost for joining and staying in a fitness club for M months. The initial cost, $200, is applied no matter how many months you join, so we add it from the start; since each month, M, you have to pay $30, the total amount of membership dues is $30M.

Step-by-step explanation:

Hope this helped!

Given right triangle ABC with altitude BD drawn to hypotenuse AC. If AB = 3 and AC = 9, what is the length of AD? (Note: the figure is not drawn to scale.)

Answers

Answer:

The length of AD is 1 unit

Step-by-step explanation:

Let us solve the question

In Δ ABC

∠B is a right angle

BD is perpendicular to the hypotenuse AC

(AB)² = AD × AC ⇒ rule

∵ AB = 3 units

∵ AC = 9 units

∵ AD = x

→ Substitute them in the rule above

(3)² = x × 9

∴ 9 = 9x

→ Divide both sides by 9

∵ [tex]\frac{9}{9}[/tex] = [tex]\frac{9x}{9}[/tex]

1 = x

The length of AD is 1 unit

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