If f(x) = 3^x + 10x and g(x) = 5x - 3 find (f - g)(x)

Answers

Answer 1

Answer:

[tex](f-g)(x) =3^x + 5x + 3[/tex]

Step-by-step explanation:

[tex]f(x) = 3^x + 10 x\\g(x) = 5x -3 \\(f-g)(x) = f(x) - g(x)\\[/tex]

              [tex]=(3^x + 10 x) - (5x-3)\\=3^x + 10 x- 5x + 3 \\=3^x + 5x + 3[/tex]


Related Questions

evaluate 9!/6!3!


plz helppp:)))

Answers

Answer:

84 :-)

Step-by-step explanation:

The answer is 84... the second option

Fill in the blank: 7(4x + 7) = 28x +_
_

Answers

Answer:

49

Step-by-step explanation:

7(4x + 7)

=7*4x + 7*7

=28x +49

Answer:

28x + 49

Step-by-step explanation:

7(4x + 7) = 28x +

28x + 49

Find the 15th term in the following arithmetic sequence : 1, 6, 11, 16, ...

Hint: Write a formula to help you. 1st term + common difference(desired term - 1)​

Answers

Answer:

a₁₅ = 71

Step-by-step explanation:

The nth term of an arithmetic sequence is

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 1 and d = 6 - 1 = 5 , then

a₁₅ = 1 + (14 × 5) = 1 + 70 = 71

Step-by-step explanation:

hear is your answer in attachment

Simplify

(2m^4)^4*-n^5


this is the last questions but I'm confused

Answers

Answer:

-16m^16 n^5

Step-by-step explanation:

(2m^4)^4*-n^5

= 2^4*m^16*(-n^5)

= 16 m^16 * (-n^5)

= -16m^16 n^5

hopefully this will help

(2m⁴)⁴(-n⁵)-2⁴m¹⁶n⁵-16m¹⁶n⁵

Remember the rule

(a^m)^n=a^mn

GUYS MY THIRD TIME ASKING FAST PLEASE HELP MEEE: At a certain high school, 35 students play only stringed instruments, 10 students play only brass instruments, and 5 students play both. There are also 5 students who play neither stringed nor brass instruments. what is the probability that a randomly selected student plays either a string or brass instrument?
P(AUB)={?}

Answers

35s
10a
5b
5n
There are 55 students
There are 50/55 that play a string or brass that’s 10/11 or about 90%

Answer:

35=10+5+5

35=20+p

35-20=p

p=15

Solve the following system by using substitution.

4x+2y=18
y=x+3

Answers

x=2, y=5 hope it helps

A school survey asked students which candidate they supported for class president. the survey data are shown in the relative frequency table.

Answers

Answer:

C. 24%

Step-by-step explanation:

hope it works

Answer:

39%

Step-by-step explanation:

Help Please... 15 points :)

Answers

Answer:

√100 = 10, √36 = 6, √225 = 15

Step-by-step explanation:

100 can be made by 10^2 (10 x 10), 36 has factors of 6 and can be made by 6^2, and 225 can be made by 15^2.

[tex] \sqrt{100} = \sqrt{10 \times 10} [/tex] = [tex]\boxed{10}[/tex]

[tex] \sqrt{36} = \sqrt{6 \times 6} [/tex] = [tex]\boxed{6}[/tex]

[tex] \sqrt{225} = \sqrt{15 \times 15} [/tex] = [tex]\boxed{15}[/tex]

[tex]\red{\large\qquad \qquad \underline{ \pmb{{ \mathbb{ \maltese \: \: Mystique35}}}}}[/tex]

Quadrilateral R S T Q is shown. Angle R is 132 degrees, angle Q is 56 degrees, and angle T is 79 degrees.
What is the measure of angle S?

48o
56o
93o
101o

Answers

Answer:

C) 93o

Step-by-step explanation:

Trust the process

edge 2021

Answer:

Got a 100% on the Unit Test on Edge and 93 is the correct answer like the person above added! :D

Find the product mentally.
(r - s)^2

A) r^2 - 2 rs + s^2
B) r^2 - rs + s^2
C) 2 r^2 - rs - s^2

Answers

Step-by-step explanation:

A is the answer to the question

A) r^2 - 2rs+s^2

...............................

Describe the transformation of f(x) to g(x).
(answers and graph in picture) PLSSSS HELP ​

Answers

Answer: b

Step-by-step explanation:

becuz now brainliest

The transformation of a function may involve any change. The correct option is A.

How does the transformation of a function happen?

The transformation of a function may involve any change.

Usually, these can be shifted horizontally (by transforming inputs) or vertically (by transforming output), stretched (multiplying outputs or inputs) etc.

If the original function is y = f(x), assuming the horizontal axis is the input axis and the vertical is for outputs, then:

Horizontal shift (also called phase shift):

Left shift by c units, y=f(x+c) (same output, but c units earlier)Right shift by c units, y=f(x-c)(same output, but c units late)

Vertical shift

Up by d units: y = f(x) + dDown by d units: y = f(x) - d

Stretching:

Vertical stretch by a factor k: y = k × f(x)Horizontal stretch by a factor k: y = f(x/k)

Given the function of f(x) as sin(x), Now it can be seen the graph of the two functions is parallel, but the function f(x) has a y-intercept of 0, while h(x) has a y-intercept of 1. Therefore, we can write,

h(x) = f(x) + 1

The function is shifted up by 1 unit.

Hence, the transformation of the function is correctly described in the first option.

Learn more about Transforming functions:

https://brainly.com/question/17006186

#SPJ5

What is the image of (-8,-8) after dilation by a scale factor of {1/4} centered at the origin?

Answers

Answer:

(-2, -2)

Step-by-step explanation:

To scale a factor by 1/4, you just need to divide the numbers by 4, or multiply them by 1/4.

-8/4=-2

Answer:

It would be (-2, -2)

A rectangle has a length of 2x+7 and a width of 3x+8.

Write and simplify an expression for the perimeter of that rectangle

Answers

Answer:

2(2x+7)=4x+14

2(3x+8)=6x+16

4x+14+6x+16

4x+6x+14+16

The answer is:

10x+30

PLEASE HELP ITS TIMED LITTERALY IM BEGGING :(( 32 points WITH BRAINLIEST!!

Answers

Answer:

I think it might be C but I'm not 100% sure!

Step-by-step explanation:

You have to find a line of best fit (a line through the dots) but it's kind of tricky to do that so I think it's probably C but it could also be A. Just use your best judgement on this one!

Answer:

C

Step-by-step explanation:

If you graph all 4 and plot  all 4 of the  point, line c  is the most accurate and lines up the best out of all 4.

Can someone help me? It's urgent and thank you!

Answers

Answer:

15.2%

Step-by-step explanation:

There are 12 marbles in total and there are 5 red marbles, so the probability of getting a red marble is 5/12. There are now 11 marbles and there are 4 blue marbles. So the probability of getting a blue marble is 4/11.

You multiply these 2 values together.

5/12 * 4/11 = 20/132 = 0.1515

This is about 15.2%

Answer:

option b : 15.2 %

Step-by-step explanation:

5 Red , 4 Blue,  3 Yellow

Total balls = 12

[tex]Probability \ of \ choosing \ red = \frac{5C_1}{12C_1} = \frac{5}{12}\\\\Probability \ of \ choosing \ blue \ without \ replacement = \frac{4C_1}{11C_1} = \frac{4}{11}\\\\Probability \ of \ red \ and \ then \ blue = \frac{5}{12} \times \frac{4}{11} = 0.1515\\\\Probability \ in \ percentage = 0.1515 \times 100 = 15.15 = 15.2 \%[/tex]

Suppose that QRS is isosceles with base q r. Suppose also that m q equals (5x - 14(degrees and Mr equals (4x - 2)degree

PLEASE HELP ME

Answers

Answer:

<S= 88degrees

<Q = <R = 46degrees

Step-by-step explanation:

Since the base angles of the isosceles triangle are equal hence;

<Q = <R

5x - 14 = 4x -2

5x - 4x  = -2 +1 4

x = -2 + 14

x = 12

Since <Q = 5x - 14

<Q = 5(12) - 14

<Q = 60 - 14

<Q = 46degrees

Also <Q = <R = 46degrees

Similarly; <S + <Q + <R =180

<S +46 + 46 = 180

<+92 = 180

<S = 180 - 92

<S= 88degrees

help please, kind of confused

Answers

Answer:

Step-by-step explanation:

Yikes. This is quite a doozy, so pay attention. We will begin by factoring by grouping. Group the first 2 terms together into a set of parenthesis, and  likewise with the last 2 terms:

[tex](2d^4+6d^3)-(18d^2-54d)[/tex] and factor out what's common in each set of parenthesis:

[tex]2d^3(d+3)-18d(d+3)[/tex]. Now you can what's common is the (d + 3), so factor that out now:

[tex](d+3)(2d^3-18d)[/tex] BUT in that second set of parenthesis, we can still find things common in both terms, so we continue to factor that set of parenthesis, carrying with us the (d + 3):

[tex](d+3)2d(d^2-9)[/tex] BUT that second set of parenthesis is the difference of perfect squares, so we continue factoring, carrying with us all the other stuff we have already factored:

[tex](d+3)2d(d+3)(d-3)[/tex]. That's completely factored, but it's not completely simplified. Notice we have 2 terms that are identical: (d + 3):

[tex]2d(d+3)^2(d-3)[/tex] is the completely factored and simplified answer, choice 3)

can u help me plzx part 2

Answers

I am here to help ya! (Again) :>
Answer: 528 inches^3
Explanation: Multiply all sides together
12*4*11
In total you get 527 inches^3

Hope this helps you! If available please give me a Branliest. It would be much appreciated. It would also help me answer more questions! Goodluck.

- Mathhotdog •~•

ima give branliest if you answer this correctly​

Answers

Answer:

Step-by-step explanation:

It 1 2

Megan is shopping at a store that sells jewelry, scarves, and purses. The cost of all of the items at the store includes tax. Megan buys 3 bracelets and 3 necklaces. Each bracelet costs $5. Megan pays the clerk $40 and gets $4 change. What is the cost, in dollars, of one necklace?

Answers

Answer: 7$

Step-by-step explanation: 40-4= 36 | 3x5=15 | 36-15=21 | 21/3=7

If it costs $16.50 to bowl twice with a shoe rental and $28.50 to bowl 4 times with a shoe rental how much does the shoes cost

Answers

Answer:

Shoe rent is $4.5

Step-by-step explanation:

Let the shoe rent is "x" which will remain the same irrespective of the number of bowling and "y" is bowling.

thus, x + 2y = 16.50

Rewrite, x = 16.50 - 2y

When bowling is 4 time then:

x + 4y = 28.50

Rewrite, x = 28.50 - 4y

Now solve both equations for the value of "y".

Thus, 16.50 - 2y = 28.50-4y

-2y + 4y = 28.50 - 16.50

2y = 12

y = 6

Insert y = 6 in the x - 2y = 16.50

x = 16.50 - 2y

x = 16.50 - 2 (6)

x = $4.5

Shoe rent is $4.5

HELP FAST LOL HAHAHAH

Answers

Answer:

184

Step-by-step explanation:

First, note that the sides that are opposite to each other are congruent (this will come into play in a second). We can find the area of each triangle by doing 0.5(b)(h) (aka half * base* height). Since we've established tha opposite sides are congruent and the triangles are opposite to each other, they must be congruent. That means that the area is going to be the exact same for both triangles. So, we get the expression (0.5)(6)(4)(2), which comes out to 6*4 = 24. Then, to find the area of the 2 rectangles that are the sides, just do 5*10*2 = 100 square meters for both rectangles combines. Lastly, we need to find the area of the floor. The dimensions of the floor are 6 and 10, so we just do 6*10 = 60. Now, add all those numbers together. We get 100+60+24 = 184. Hope this helps! Let me know if anything is still confusing.

solve the equation:
[tex]4 \sqrt{3 - \frac{1}{x} } - \sqrt{ \frac{x}{3x - 1} } = 3[/tex]
Are the solutions of the equation solutions of
[tex] \frac{(1 - 2x)^{2} \times (x^{2} - 9) }{ -{x}^{2} - x + 6} \geqslant 0[/tex]
? ​

Answers

Answer:

Step-by-step explanation:

[tex]4\sqrt{3-\frac{1}{x} } -\sqrt{\frac{x}{3x-1} } =3\\4\sqrt{\frac{3x-1}{x} } -\sqrt{\frac{x}{3x-1} } =3\\\\put ~\sqrt{\frac{3x-1}{x}} =a\\4a-\frac{1}{a} =3\\4a^2-1-3a=0\\4a^2-4a+1a-1=0\\4a(a-1)+1(a-1)=0\\(a-1)(4a+1)=0\\a=1,-\frac{1}{4}\\[/tex]

[tex]\sqrt{\frac{3x-1}{x} } =1\\3x-1=x\\3x-x=1\\2x=1\\x=\frac{1}{2}[/tex]

when a=-1/4

[tex]\sqrt{\frac{3x-1}{x} } =-\frac{1}{4} \\[/tex]

[tex]\frac{3x-1}{x} =\frac{1}{16} \\48x-16=x\\47x=16\\x=\frac{16}{47}[/tex]

[tex]\frac{(1-2x)^2 \times (x^2-9)}{-x^2-x+6} \geq 0,\\both ~numerator ~and~denominator ~are~of~same~sign.\\\frac{(1-2x)^2(x^2-9)}{-x^2-3x+2x+6} \geq 0\\\frac{(1-2x)^2(x+3)(x-3)}{-x(x+3)+2(x+3)} \geq 0\\\frac{(1-2x)^2(x+3)(x-3)}{(x+3)(-x+2)} \geq 0\\(1-2x)^2\geq 0~(always)\\x\neq -3\\case.~1.\\both~numerator~and~denominator >0\\\frac{x-3}{-x+2} \geq 0\\x-3\geq 0\\x\geq 3\\-x+2> 0\\-x>-2\\x<2\\so~ solution~ is~ (-\infty,-3)U(-3,2)U[3,\infty)[/tex]

case 2.

both numerator and denominator are negative.

[tex]x-3\leq 0\\x\leq 3\\-x+2\leq 0\\-x\leq -2\\x\geq 2\\solution~is~(-\infty,-3)U(-3,3]U[2,\infty)[/tex]

Pls help ahahahhahaha

Answers

Step-by-step explanation:

x=30° { ins angle inscribed angle Standing on arc are equal }

hope it helps

stay safe healthy and happy...

1, 2, 5, 9, Rule i-

what is the rule

Answers

Answer:

it is an infinite rule guiding it

there are 15 tickets in a box each bearing one of the a number from 1 to 15 one ticket is drawn at random from the box find the probability of event that the ticket drawn shows an even number and shows a number which is multiple of 5​

Answers

Answer:

(i) no. of favourable out comes =7 i.e. {2,4,6,8,10,12,14}

∴ P=

15

7

(ii) no. of favourable outcomes =3 i.e {5,10,15}

∴ P=

15

3

=

5

1

Step-by-step explanation:

thats my answer thank you

i need help on this i don't understand this. plz help with steps plz. thanks!!

Answers

i know the answer but do i have to show you their phone numbers and send it out on the bay on open mic or no no

Which of the following is acceptable justifications to use in geometry when justifying statements about segments and
angles?
A Theorems, Defintions, Postulates, Conjectures
B. Patterns, Defintions, Conjectures, Assumptions
C. Theorems, Defintions, Assumptions, Properties
D. Theorems, Defintions, Postulates, Properties
Please select the best answer from the choices provided
ОВ
оооо
ОС

Answers

The answer is a I think

Answer:

D.

Theorems, Defintions, Postulates, Properties

Step-by-step explanation:

Terrific Tents has a new two-person tent. If the material costs $0.02 per square inch, find out how much it costs to make each two-person tent.

Answers

Answer:

$280

Step-by-step explanation:

Please find attached the image of the tent

cost of the tent = cost per square inch x total surface area of a triangular prism

total surface area of a triangular prism = (perimeter x height) + 2(area of a triangle)

Area of a triangle = 1/2 x base x height = 1/2 x 40 x 50 = 1000in²

1000 x 2 = 2000

Perimeter = 50 + 50 + 50 = 150

150 x 80 = 12,000

total surface area = 12,000 + 2000 = 14,000

Total cost = 14,000 x 0.02 = $280

PLEASE HELP ME, Am given 60 points!! NO CAP
What is the ratio of the length of JK to the length of MN?

Answers

Simple it is 42^2 if you need a explanation dms me
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