perform the following operations when f(x)= x^2+5x and g(x)=4x-7

9. f(x)+g(x)
10. f(x)-g(x)
11. f(x)•g(x)
12. g(x)-f(x)

Perform The Following Operations When F(x)= X^2+5x And G(x)=4x-79. F(x)+g(x)10. F(x)-g(x)11. F(x)g(x)12.

Answers

Answer 1

Answer:

See Below.

Step-by-step explanation:

We are given the two functions:

[tex]\displaystyle f(x) = x^2 + 5x \text{ and } g(x) = 4x - 7[/tex]

9)

We want to find:

[tex]f(x) + g(x)[/tex]

Substitute:

[tex]\displaystyle = (x^2 + 5x) + (4x - 7)[/tex]

And combine like terms. Hence:

[tex]f(x) + g(x) = x^2 + 9x - 7[/tex]

10)

We want to find:

[tex]f(x) - g(x)[/tex]

Substitute:

[tex]= (x^2 + 5x) - (4x - 7)[/tex]

Distribute:

[tex]= (x^2 + 5x) + (-4x +7)[/tex]

And combine like terms. Hence:

[tex]f(x) - g(x) = x^2 +x +7[/tex]

11)

We want to find:

[tex]\displaystyle f(x) \cdot g(x)[/tex]

Substitute:

[tex]\displaystyle = (x^2 + 5x)(4x-7)[/tex]

Expand:

[tex]\displaystyle = 4x(x^2 + 5x) - 7(x^2 + 5x) \\ \\ = (4x^3 + 20x^2) + (-7x^2 -35x) \\ \\ = 4x^3 + 13x^2 - 35x[/tex]

Hence:

[tex]\displaystyle f(x) \cdot g(x) = 4x^3 + 13x^2 - 35x[/tex]

12)

We want to find:

[tex]g(x) - f(x)[/tex]

Substitute:

[tex]= (4x -7) - (x^2 + 5x)[/tex]

Distribute:

[tex]= (4x-7) + (-x^2 - 5x)[/tex]

And combine like terms. Hence:

[tex]\displaystyle g(x) - f(x) = -x^2 -x -7[/tex]


Related Questions

7. Evaluate the following:
a. 41-81
b. 21-3| + 4(7)
c. 81-21 - 6
d. 51-41 + 21-61

Answers

a.-40

b.--280

c.54

d.30

Find x. PLEASE I NEED HELP PLS PLS PLS

Answers

Answer:

Is 57, I just did it on a paper, hope it helped

Step-by-step explanation:

100000 times 345040+567556

Answers

Answer:

34504567556

Step-by-step explanation:

calculator

PLEASE HELP!

Solve for $x$: $x = \frac{x}{6} + \frac{x}{12} + \frac{x}{7} + 5 + \frac{x}{2} + 4$

This is due today and is the last problem pleaseee

Answers

Answer:

9[tex]\frac{75}{84}[/tex]

get a common denominator between 6,12,7,2 = 84

Step-by-step explanation:

[tex]$x$: $x = \frac{x}{6} + \frac{x}{12} + \frac{x}{7} + 5 + \frac{x}{2} + 4$[/tex]

The solution is x = 84

The value of the equation is A = 84

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

x = ( x/6 ) + ( x/12 ) + ( x/7 ) + 5 + ( x/2 ) + 4   be equation (1)

On simplifying the equation , we get

x = [ ( x/6 ) + ( x/12 ) + ( x/7 ) + ( x/2 ) ] + 9

Now , on further simplification , we get

x = [ ( x/7 ) + ( x/2 ) ] + [ ( 2x + x ) / 12 ] + 9

x = ( 3x/12 ) + [ ( 2x + 7x ) / 14 ] + 9

x = ( 3x/12 ) + ( 9x/14 ) + 9

On simplifying the equation , we get

x = ( x/4 ) + ( 9x/14 ) + 9

x = [ ( 14x + 36x ) / 56 ] + 9

x = ( 50x / 56 ) + 9

Subtracting ( 50x/56 ) on both sides of the equation , we get

9 = x - ( 50x/56 )

9 = ( 56x - 50x ) / 56

6x/56 = 9

Multiply by 56 on both sides of the equation , we get

6x = 504

Divide by 6 on both sides of the equation , we get

x = 504/6

x = 84

Therefore , the value of x is 84

Hence , the equation is A = 84

To learn more about equations click :

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solve for x
-2^2(-5x+10)=100

Answers

Answer:

[tex]x=7[/tex]

Step-by-step explanation:

Hi there!

[tex]-2^2(-5x+10)=100[/tex]

Solve -2^2:

[tex]-4(-5x+10)=100[/tex]

Divide both sides by -4:

[tex]\displaystyle \frac{ -4(-5x+10)}{-4}=\frac{100}{-4} \\\\-5x+10=-25[/tex]

Subtract 10 from both sides:

[tex]-5x+10-10=-25-10\\-5x=-35[/tex]

Divide both sides by -5:

[tex]\displaystyle \frac{-5x}{-5} = \frac{-35}{-5} \\\\x=7[/tex]

Therefore, x = 7.

I hope this helps!

I’m very confused lol

Answers

Answer:

OPTION A.

Step-by-step explanation:

Put in simple terms

You're asked to Make "h" the subject.

p=0.7(rh + b)

divide through by 0.7

p/0.7 = rh + b

Rearranging

rh + b = p/0.7

rh = p/0.7 – b

divide through by "r"

h = (p/0.7 b)÷ r.

Option A is your answer.

Notice that they look similar but you gotta see the difference.

The parenthesis covers all that's being divided by r

HELPPP PLEASEEEE WILL GIVE BRAINLIEST

Answers

42 feet.

Step-by-step explanation:

I think that it is 42 but don't know

Can someone help me im struggling

Answers

[tex]\small\tt\red{Question : 2x + 3(5x - 7) = 47 } \\ \\ \small\tt\orange{solution : - } \\ \\ \small\tt\blue{2x + 3(15x - 7) = 47} \\ \\ \small\tt\blue{2x + 15 - 21 = 47} \\ \\ \small\tt\blue{17 = 47 + 21} \\ \\ \small\tt\blue{17x = 68} \\ \\\small\tt\blue{x = \cancel \frac{68}{17} } \\ \\\\\small\tt\green{\boxed{x = 4 \: \: is \: your \: answer}} \\ \\ \\\small\tt\pink{\boxed{\boxed{hope \: it \: help \: you \: dear}}}[/tex]

Solve the following system by using substitute
x - 4y = 28
7y - 6x = - 15

Answers

Answer:

y = -9

x = -8

Step-by-step explanation:

x = 28 + 4y

7y - 6(28 + 4y) = -15

7y - 168 - 24y = - 15 ---> *distribute the -6, not positive 6*

-17y = 153

y = -9

x = 28 + 4(-9)

x = -8

8 less than the product of a number and 4 is 20

Answers

the answer to your question is 13

Answer:

This word phrase into a equation is

4x -8 = 20

Which of the following are factors of 11?
A/1
B/11
C/4
D/5
E/0
F/22

Answers

Answer:

B, F

Chow,...!

The screen size of a tablet is determined by the length of the diagonal of the rectangular screen. The 9.7-inch iPad
Air comes in a 4:3 format, which means that the ratio of the length to width of the rectangular screen is 4:3. What is
the area of the iPad's screen?

Answers

Using area of a rectangle, it is found that the area of the iPad's screen is of 45.2 square inches.

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

The area of a rectangle of length l and width w is given by:

[tex]A = lw[/tex]

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

The diagonal of a rectangle is the hypotenuse of a right triangle, in which the sides are the length and the width.

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

The first step before finding the area is finding the length and the width.The ratio of length to width is 4:3, thus, [tex]w = x, l = \frac{4x}{3}[/tex]The diagonal, which is the hypotenuse of a right triangle in which w and l are the sides, is 9.7, and thus, applying the Pythagorean Theorem:

[tex]x^2 + (\frac{4x}{3})^2 = (9.7)^2[/tex]

[tex]x^2 + \frac{16x^2}{9} = 94.09[/tex]

Multiplying everything by 9:

[tex]9x^2 + 16x^2 = 846.81[/tex]

[tex]25x^2 = 846.81[/tex]

[tex]x^2 = \frac{846.81}{25}[/tex]

[tex]x = \sqrt{\frac{846.81}{25}}[/tex]

[tex]x = 5.82[/tex]

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

The width is of [tex]w = 5.82[/tex]The length is of [tex]l = \frac{4}{3}(5.82) = 7.76[/tex]Thus, the area is:

[tex]A = lw = 7.76(5.82) = 45.2[/tex]

The area of the iPad's screen is of 45.2 square inches.

A similar problem is given at https://brainly.com/question/10489198

I’m not really sure how to do this

Answers

Answer:

im sorry about that bro

Step-by-step explanation:

im not smart as well

Evaluate the expression 3(7 + 4)^2 − 14 ÷ 7

-An explanation on how to find the answer would be amazing!

Answers

use PEMDAS.
1. multiply the 7 and the 4 by 3
2. square the 12 to get 144
3.multiply 144 by -14
4. divide -2016 by 7
5.subtract 288 from 21 (if you subtract 21 from 288 you get 267 so put +- in front for both answers :) )

3 3/4 + 8/5 ÷ 2 2/3

step by step please

Answers

Hope this helps!

1) convert the proper fractions into improper fractions.
2) divide the 8/5 by 8/3 (keep, change, flip)
3) multiply the first fraction by five and the second fraction by four, so each fraction has the same denominator.
4) add the fractions together, then convert to decimal points or a proper fraction.

67+38 (mod5)
pls can someone help me with this question ​

Answers

Answer:

67 + 38(mod5)

= 67 + 38 =105÷5 (mod5)

= 21 reminder 0 ( mod 5)

Since while handling modes or finites the reminder is always considered therefore;

67 + 38 = 0 ( mod 5)

Fulton bus company would charge $500 plus $2.50 per miles that the bus would be driven

Answers

If you’re trying to make an equation out of the given information then the correct answer would be: y=2.50x+500

Which of the following is a flat surface that extends infinitely, has length and width, but does not have depth?

Angle
Circle
Plane
Segment

Answers

Hey there!

The correct answer is :

'Angle'

Angle:

In Euclidean geometry, an angle is the figure formed by two rays, called the sides of the angle, sharing a common endpoint, called the vertex of the angle. Angles formed by two rays lie in the plane that contains the rays. Angles are also formed by the intersection of two planes.

Hope it help you

Select the function that is modeled by the graph.
A. y = 1/2x + 3
B. y = 1/2x - 3
C. y = - 1/2x + 3
D. y = - 1/2x - 3

Answers

Answer:

B is the answerrrrrrrrrr

Answer:

B

Step-by-step explanation:

The y-intercept is at -3 and the slope which is 2/4 simplified to 1/2x is going in a positive direction

The Garcia family has two cars. Last week, the first car consumed 30 gallons of gas and the second consumed 25 gallons of gas. The two cars drove a combined total of 1,250 miles, and the sum of their fuel efficiencies was 45 miles per gallon. What was the fuel efficiency of each of the cars last week?

Answers

Answer:

25 and 20 milies/gallons

Step-by-step explanation:

Let the fuell efficientcy of the first and the second car be f and s in gallons/miles.

Then the distance traveled by car 1 is 30 f and the car 2 is 25 s.

Since we also know that 1250 is the total distance traveled then

30 f + 25 s = 1250    (1)

Moreover we know that the efficiency is 45 miles/gallon. Hence

f + s  = 45

Multiply by 30 we have

30 f  + 30 s = 1350   (2)

Subtract the (1) equation from (2) we have

5s = 100

s = 20

f + 20 =45

f = 25

So the efficiency of the first car is 25 miles/gallons while the second one is 20 miles/gallons.

Can someone help with this please?

Answers

[tex]7^2=7\cdot7=49\\\\8^2=8\cdot8=64\\\\\sqrt{49}<\sqrt{52}<\sqrt{64}\\\\\text{Answer}:52[/tex]

Answer:

Its 52

Step-by-step explanation:

the square root of 52 is 7.2

there's a crab on the ocean floor 60 ft below sea level and a bird 120 ft in the air how far apart are the crab and the bird

Answers

Answer:

180 feet

Step-by-step explanation:

|-60+120| is 180

Answer:

is it 180 feet apart if it is then here is the steps

Step-by-step explanation:

120+60 = 180

please mark as brainiest

I need help with #47 to #50 ASAP…. Please help me with it

Answers

Step-by-step explanation:

a triangular number n is the sum of all natural numbers <= n.

t1 = 1

t2 = 1+2 = 3

t3 = 1+2+3 = 6

t4 = 1+2+3+4 = 10

...

so,

tn = tn-1 + n

47.

1×8 + 1 = 9 is a square number.

3×8 + 1 = 25 is a square number

6×8 + 1 = 49 is a square number

10×8 + 1 = 81 is a square number

48.

1/3 = 0 remainder 1

3/3 = 1 remainder 0

6/3 = 2 remainder 0

10/3 = 3 remainder 1

15/3 = 5 remainder 0

21/3 = 7 remainder 0

28/3 = 9 remainder 1

so, there seems to be a pattern 1 0 0 1 0 0 1 0 0 1 ...

49.

1/4 = 0 remainder 1

4/4 = 1 remainder 0

9/4 = 2 remainder 1

16/4 = 4 remainder 0

25/4 = 6 remainder 1

36/4 = 9 remainder 0

49/4 = 12 remainder 1

so, there seems to be a pattern 1 0 1 0 1 0 1 0 1 0 1 ...

50.

polygonal numbers is the real name for this.

the formula for dimensions = 5 is

(3n² − n)/2

for dimensions = 6 it is

2n² - n

so, dimensions=5 (and therefore dividing also by 5) we get the remainders

1/5 = 0 remainder 1

5/5 = 1 remainder 0

12/5 = 2 remainder 2

22/5 = 4 remainder 2

35/5 = 7 remainder 0

51/5 = 10 remainder 1

70/5 = 14 remainder 0

92/5 = 18 remainder 2

117/5 = 23 remainder 2

145/5 = 29 remainder 0

here the pattern is 1 0 2 2 0 1 0 2 2 0 1 0 2 2 0 ...

dimensions=6 (and therefore dividing also by 6) we get the remainders

1/6 = 0 remainder 1

6/6 = 1 remainder 0

15/6 = 2 remainder 3

28/6 = 4 remainder 4

45/6 = 7 remainder 3

66/6 = 11 remainder 0

91/6 = 15 remainder 1

120/6 = 20 remainder 0

153/6 = 25 remainder 3

190/6 = 31 remainder 4

231/6 = 38 remainder 3

276/6 = 46 remainder 0

325/6 = 54 remainder 1

here the pattern is 1 0 3 4 3 0 1 0 3 4 3 0 1 0 3 4 3 0 ...

help me out
help me out
help me out
help me out
help me out

Answers

Answer:

-59049/1048576

Step-by-step explanation:

using indices law you just follow the steps

Round the fraction to the nearest whole number.
5/8

please help

Answers

Answer:

1

Step-by-step explanation:

so when you divide 5/8 you get 0.625 and rounding it of to the nearest whole number it will be 1.

hope this helps

Answer:

1

Step-by-step explanation:

(8/8) = 1                                 (4/8) = half                       (0/8) = 0

                                   (5/8) = a bit more than half, so is closer to 1

5/8≈1

Honors algebra!! Plz help #22

Answers

Answer:

8

Step-by-step explanation:

12 times x (the first square) is equal to 16 times x-2 (the second square)

[tex]12x = 16(x-2)[/tex]

Distributed

[tex]12x = 16x-32[/tex]

Simplified (divided by 16)

[tex]0.75x = x-2[/tex]

Subtract x from both side of the equation

[tex]-0.25x = -2[/tex]

Both negatives cancel each other out

[tex]0.25x = 2[/tex]

0.25 times what equals 2,...

[tex]x = 8[/tex]

Hope it help,... and I'll see you in life,... well not really, but you get the idea,... Chow,...!

What is the answer to 15+(-18)=

Answers

Answer:

-3

Step-by-step explanation:

Answer:

-3

Step-by-step explanation:

15+(-18)

15-18

NB: Negative plus positive is negative

-3

Therefore, the answer is -3.

A truck driver drives at a constant rate of 60 miles per hour while on the highway. Which equation represents the distance, d, in miles, the truck driver has driven as a function of time in hours, h?

A. h = 60d
B. d = 60h
C. h = 60 + d
D. d = 60 - h

Answers

Answer:

b

Step-by-step explanation:

please help if you can, it's due soon :) ​

Answers

Answer:

<SDQ

Step-by-step explanation:

Eg if a = b, b = c, then a = c

There are 3 consecutive integers. Four times the smallest integer is equal to six more than three times the largest integer. What is the smallest of the 3 integers

Answers

The smallest of the three consecutive integers be x,(x+1),(x+2) = 12, 13,14  is 12

Let's consider the number will be in form of x

Consecutive Integers:

we number or count items in a sequence, we use consecutive integers. In other words, consecutive integers are integers that follow each other in a sequence with a difference that is fixed.

the three consecutive integers be x,(x+1),(x+2)

As per the problem,

Four times the smallest integer is equal to six more than three times the largest integer

4x=3(x+2) +6

∴4x=3x+6 +6

∴4x−3x=6+6

x= 12

Smallest number = x= 12

middle number   X+1 = 12+1 =13

Highest number = x+2 = 12+2 = 14

the three consecutive integers be x,(x+1),(x+2) = 12, 13,14

Learn more about the three consecutive integers: brainly.com/question/841485

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