f(x)=x^2+2x-4 and g(x)=3x+1 find

F(x)=x^2+2x-4 And G(x)=3x+1 Find

Answers

Answer 1

Answer:

Step-by-step explanation:

[tex]f(x)=x^2+2x-4\\g(x)=3x+1\\\\g\circ f(x)=g(f(x)=3(x^2+2x-4)+1=3x^2+6x-11[/tex]

Answer 2

Answer:

g(f(x)) = 3x^2 + 6x - 11.

Step-by-step explanation:

Replace the x in g(x) by f(x):

g(f(x)) = 3(x^2 + 2x - 4) + 1

= 3x^2 + 6x - 12 + 1

= 3x^2 + 6x - 11.


Related Questions

Dennis collected a total of 1712 stamps over the past 16 years At this rate how many stamps would he collect in 21 years

Answers

2,247

Step-by-step explanation:

you take 1712 and divide that by 16 which is 107 and then you multiply 107 by 21 thus you get 2,247.

-7x - 3 equals 5x + 3
solve for x

Answers

The answer: x= -1/2

-7x-3=5x+3

-3=12x+3

-6=12x

-6/12=12x/12

x=-6/12
Simplify to x= -1/2

Answer:

x = -0.5

Step-by-step explanation:

-7x-3=5x+3

+7x       +7x

-3=12x+3

-3        -3

-6=12x

x=-0.5

The sequence is defined recursively. Write the first four terms.

a 1 = -10; a n = n - a n - 1

Answers

Answer:

-10, 12, -9 and 13

Step-by-step explanation:

Given the recursive sequence

a1 = -10

an = n - an-1

a2  = 2 - a1

a2 = 2  - (-10)

a2 = 2+10

a2 = 12

a3 = 3 - a2

a3 = 3  - (12)

a3 = -9

a4  = 4 - a3

a4 = 4  - (-9)

a4 = 4+9

a4 = 13

Hence the first 4 terms are -10, 12, -9 and 13

Suppose the mean height for men is 70 inches with a standard deviation of 2
inches. What percentage of men are between 68 and 74 inches tall? Enter
the value of the percentage without the percent sign.

Answers

Answer:

81.85.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Suppose the mean height for men is 70 inches with a standard deviation of 2 inches.

This means that [tex]\mu = 70, \sigma = 2[/tex]

What percentage of men are between 68 and 74 inches tall?

The proportion is the p-value of Z when X = 74 subtracted by the p-value of Z when X = 68.

X = 74

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{74 - 70}{2}[/tex]

[tex]Z = 2[/tex]

[tex]Z = 2[/tex] has a p-value of 0.9772.

X = 68

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{68 - 70}{2}[/tex]

[tex]Z = -1[/tex]

[tex]Z = -1[/tex] has a p-value of 0.1587.

0.9772 - 0.1587 = 0.8185

0.8185*100% = 81.85%.

Thus the percentage is 81.85%, and the answer is 81.85.

Will mark BRAINLIEST!! This is pt.2

Answers

Answer:

See below.

Step-by-step explanation:

Problem 3.

1. <3, <4

Given

2. <1, <2

Given

3. KG

Congruence of segments is reflexive.

4. HKG, LKG

ASA

Problem 4.

1. MR, OR

Given

2. PR, NR

Given

3. <2

Vertical angles are congruent.

4. MPR, ONR

SAS


Anna's electricity bill costs $21.59 per month plus $4.66 per kilowatt hour. How many kilowatt hours can she use and keep
her bill to no more than $51?
Round your answer to a whole number

Answers

Answer:

6 kwh

Step-by-step explanation:

(51 - 21.9)/4.66 = 6.24 => 6 kwh

what is a proof

PLS PLS PLS HELP GELP HELPPPPPPPP

Answers

A. Definition = (the third meaning.)

B. Postulate (axiom) = (the first meaning.)

C. Common notion = (the last meaning.)

D. Theorem = (The second meaning.)

E. Corollary = (the fourth meaning.)

Proof is evidence or an argument that helps to establish a fact or the truth of a statement. For example, most people won't accept new concepts or ideas without proof of its existence.

One number is 8 times a first number. A third number is 100 more than the first number. If the sum of the three numbers is ​1090, find the numbers.

Answers

Answer:

Number one: x

Number two:8x

Number three: x+ 100

They added together equal to 1090:

x + 8x + x+ 100 = 1090

10x= 1090-100

10x=990

x=99

Number one: 99

Number two: 792

Number three: 199

Sum: 1090

What is the system of equations represented by the tables?
O A. y=2x-1
y = -x + 3
B. y = x + 2
y = x-1
O c. y=-3x-1
y = 3x + 2
O D. y = 2x-3
y = -x + 2

Answers

Answer:

C.

y = -3x - 1

y = 3x + 2

Step-by-step explanation:

Find the slope (m) and y-intercept (b) of each table to write an equation for each.

✔️First table:

Find the slope (m) = change in y/change in x

Using any two pair of values, say (0, -1) and (1, -4),

Slope (m) = (-4 - (-1))/(1 - 0) = -3/1

m = -3

Find the y-intercept:

y-intercept is the value of y when x = 0

From the table, y = -1 when x = 0. Therefore,

y-intercept (b) = -1

To write an equation for table 1, substitute m = -3 and b = -1 into y = mx + b

Equation for table 1:

y = -3x - 1

✔️ Second table:

Find the slope (m) = change in y/change in x

Using any two pair of values, say (0, 2) and (1, 5),

Slope (m) = (5 - 2)/(1 - 0) = 3/1

m = 3

Find the y-intercept:

y-intercept is the value of y when x = 0

From the table, y = 2 when x = 0. Therefore,

y-intercept (b) = 2

To write an equation for table 1, substitute m = 3 and b = 2 into y = mx + b

Equation for table 1:

y = 3x + 2

Use the graph to estimate f(4)

Answers

Answer:

f(4) = 1

Step-by-step explanation:

Locate x = 4 on the x- axis, then go vertically up to meet the graph at (4, 1 ) , then

f(4) = 1

The value of the function f(4) is 1. The correct option is C.

What is a function?

A function is defined as the expression that set up the relationship between the dependent variable and independent variable. A graph is the representation of the data on the vertical and horizontal coordinates so we can see the trend of the data.

The value of the function f(4) will be calculated as below:-

Locate x = 4 on the x- axis, then go vertically up to meet the graph at (4, 1 ) ,

f(4) = 1

Therefore, the value of the function f(4) is 1. The correct option is C.

To know more about functions follow

https://brainly.com/question/17365692

#SPJ5

Peter Piper picked a pickled pepper out of a pepper jar. If the probability of drawing a pickled pepper was 2/5,
how many total peppers could be in the jar (psst. you can't have a half of a pepper)?

Answers

Answer:

5

Step-by-step explanation:

2/5 pickled peppers means that there are 2 pickled peppers out of 5 total peppers.

Pls solve this question:
it is about Square and square roots
if u answer, then I will mark you as brilliant

Answers

Answer:

the answer is 2.3

Step-by-step explanation:

bc if u take the square root of 2.3 it would be 1.516575089 in the decimal form then u multiply it by that decimal and get 2.3. hope this help

Answer:

2.3

Step-by-step explanation:

[tex]\sqrt{2.3}[/tex]  * [tex]\sqrt{2.3}[/tex]

it means

[tex](\sqrt{2.3})^2[/tex]

root and square gets cancel so,

2.3

Can someone please help me out?
The difference between two numbers is 16. The first number is three times the other number. What are the numbers?
A. 8 and 25
B. 8 and 24
C. 9 and 24
D. 9 and 25
No links or fake answers pls

Answers

The answer is B

24 is three times the value of 8 and when you subtract 8 from 24 you receive a total of 16.

9514 1404 393

Answer:

  B. 8 and 24

Step-by-step explanation:

There are a number of approaches you can use here. One of them is to choose the only answer that makes any sense in the problem.

The problem tells you the numbers have a ratio of 3, so numbers like 8 and 25, 9 and 24, 9 and 25 cannot be the answer.

The only answer choice that makes any sense is B: 8 and 24.

__

If you want to work the problem, there are different ways you can do that. One of my favorite is to consider ratio units. The ratio of the two numbers is 3:1. The difference of the two numbers is 3-1 = 2 ratio units, which we are told is 16. Then each ratio unit represents 16/2 = 8. Then the numbers are ...

  3×8 and 1×8 = 24 and 8.

Or, you can let a variable represent one of the numbers. If x is the first number, then the other number is 1/3x, and their difference is ...

  x -1/3x = 16

  2/3x = 16

  x = 16(3/2) = 24

The numbers are 24 and 24/3 = 8.

__

Additional comment

You need to talk to your teacher about this question. The answer choices list the smaller number first, but the problem statement tells you the first number is 3 times the second number. The correct answer would be 24 and 8.

What does it mean to the rise over run when the slope is an integer? a. the rise number is one c. the run part of the slope is going to be one b. the run number is always negative d. there will be no slope Please select the best answer from the choices provided A B C D

Answers

Answer: integer is a whole number

Eg

10/2 = 5/1 = 5 = integer

But 12/8 = 3/2 = 1.5 = not an integer

So really, slope = integer

Means rise greater than run

And run is a factor of rise

Or run = 1 will satisfy the above too :)

Answer:

C. The run part of the slope is going to be one

Step-by-step explanation:

.

Please help me solve this. I keep getting the answer weong

Answers

Answer:

21 is the answer I think sike I lied ik its not im just trying get this over with

You can use this formula to work out the area of a triangle when you know two sides and the angle inbwtween them :

1/2 x a x b x sin(C)

where a and b are the two sides you know and C is the angle in between them.

So here a = 7, b = 14, C = 125.

Area = 1/2 x 7 x 14 x sin(125) = 40.138...

= 40.1 (nearest 10th)

Mô hình quy hồi tuyến tính và ứng dụng

Answers

Answer:

where are you from Korea or not

Mô hình quy hồi tuyến tính và ứng dụng.

Hope it helps you!

-miraculousfanx-

Shen started to run on a treadmill after setting its timer for 93 minutes. The display says that he has finished 69% of his run. How many minutes have gone by?
Round your answer to the nearest tenth.

Answers

Answer:

64.2 minutes

Step-by-step explanation:

We are given that

Shen set timer to run=93 minutes

He has finished his run=69%

We have to find total number of minutes have gone by.

69% of 93

=[tex]\frac{69}{100}\times 93[/tex]

By using

a%[tex]=\frac{a}{100}[/tex]

69% of 93=[tex]\frac{6417}{100}[/tex]

69% of 93=64.17 min

69% of 93[tex]\approx 64.2min[/tex]

Hence, 64.2 minutes have gone by.

What is 2+2-35x62+88-1x675

Answers

[tex]\longrightarrow{\blue{ -2753}}[/tex] 

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]

[tex]2 + 2 - 35 \times 62 + 88 - 1 \times 675[/tex]

[tex] = 2 + 2 - 2170 + 88 - 675[/tex]

[tex] = 92 - 2170 - 675[/tex]

[tex] = 92 - 2845[/tex]

[tex] = - 2753[/tex]

Note:-

[tex]\sf\pink{PEMDAS\: rule.}[/tex]

P = Parentheses

E = Exponents

M = Multiplication

D = Division

A = Addition

S = Subtraction

[tex]\bold{ \green{ \star{ \orange{Mystique35}}}}⋆[/tex]

find the square root of 20 1/4​

Answers

Answer:

Step-by-step explanation:

[tex]20 \frac{1}{4} =\frac{80+1}{4} =\frac{81}{4} \\\sqrt{\frac{81}{4} } =\frac{9}{2} =4.5[/tex]

4. (a) Find the minimum value of the function below and the values of for which they
occur.
f(x) = 3x2 - 5x - 12​

Answers

5/6

Answer: the answer is 5/6

Explanation:

Use the tax table to help answer the following question.
If the wages are. And the number of withholding allowances dalmedish
0 1
But less
2 3 4 5 6 7 8 9 10+
At least
than
The amount of income tax withheld is
80
26
14
1
0
0
0
0
0
83
820
720
740
6244
740 760
47 28 16 3 0 0 0 0 0
760 780 86 68 50 31 18 5 o o o o o
780 800 89 71 53 34 20 . . . .
800
92 74 56 37 22 9 . a . o o
820 840 95 77 59 40 24 11 oo
840 860 98 80 62 43 26
Luce is single and making $763 biweekly. She claims no federal withholding
allowances. If the state tax is 19% of the federal tax, how much in state tax de
Luce contribute?
a.
$12.92
0
0
13
1
0
0
0
0
b.
$15.13
c.
$15.77
d.
$16.34
1

Answers

9514 1404 393

Answer:

  d.  $16.34

Step-by-step explanation:

Luce's income of 763 is between 760 and 780, so the third row of the table applies. Her allowances are 0, so the first column applies, indicating her federal tax withholding is $86.

Her state tax withholding is 19% of that amount, so is ...

  19% × $86 = $16.34 . . . . matches choice D

The amount in state tax that Lucy will contribute is D. $16.34.

How to calculate the tax?

Tax simply means a compulsory levy that's paid to the government by individuals and organizations.

In this case, the tax amount that will be paid will be:

= 19% × $86

= $16.34

In conclusion, the correct option is $16.34.

Learn more about tax on:

https://brainly.com/question/25783927

The function is f(x) is shown on the graph.


What is f(0)
•12 only
•2 and 3 only
•-2, -1, 1, and 2 only
•-2, -1, 1, 2 and 12

Answers

Answer:

12 only

Step-by-step explanation:

The function is given on the graph.

What is f(0)?

This is the value of y when x = 0.

Looking at the horizontal axis, when x = 0, the vertical axis is at y = 12, and at no other point the horizontal axis is at x = 0, which means that the correct answer is given by:

12 only

High school students across the nation compete in a national financial capability challenge exam. students who score in the top 5 percent get recognized publically for their achievement by the Dept of Treasury. Assuming a normal distribution, how many standard deviations above the mean does a student have to score to be publicly recognized?

Answers

Answer:

2

Step-by-step explanation:

Follow the 68-95-99.7 rule

The answer is 2 standard deviations

Cho S là ngoại diên của khái niệm con người, p(x,y) = x yêu thương y.
1) Viết các phán đoán sau đây dưới dạng công thức:
a) Nhiều người yêu thương A. (Thay A bằng chính tên của em).
b) A yêu thương nhiều người. (Thay A bằng chính tên của em).
2) Phủ định hai phán đoán ở phần 1) (viết dưới dạng câu văn hoàn chỉnh).

Answers

Answer:

Step-by-step explanation:

Choose the equation of the line that is parallel to the x-axis.
x = 4
x + y = 0
x = y
y = 4

Answers

Y= 4, because the line is graphed horizontally
y = 4
When y = 0 the line falls on the x axis, so when y = 4, it will move up 4 spaces and be parallel to the x axis.
Hope this helps!!

In your biology class, your final grade is based on several things: a lab score, scores on two major tests, and your score on the final exam. There are 100 points available for each score. However, the lab score is worth 23% of your total grade, each major test is worth 25%, and the final exam is worth 27%. Compute the weighted average for the following scores: 74 on the lab, 69on the first major test, 62 on the second major test, and 85 on the final exam. (Enter your answer to one decimal place.)

Answers

Answer:

72.7 is the weighted average score

Step-by-step explanation:

The weighted average score

= score of lab * % share of total grade + score of first major test  * % share of total grade + score of second major test  * % share of total grade + Score of the final exam  * % share of total grade

Substituting the given values, we get -

0.23 * 74 + 0.25 * 69 + 0.25 * 62 + 0.27 * 85

= 72.7

What is f(-2) for f(x)=(1/2)x^2

Answers

Answer:

[tex]{ \bf{f(x) = \frac{1}{2} {x}^{2} }} \\ \\ { \tt{f( - 2) = \frac{1}{2} {( - 2)}^{2} }} \\ = 2[/tex]

Pls I’ve been stuck on this

Answers

Area of a circle is pi x radius^2

Area = pi x 22 ^2

Area = pi x 484

Area = 1,519.8 mm^2

Answer:

1520.5mm²

Step-by-step explanation:

Area of a circle=πr²

π(22mm)²

π484mm²

1520.5308443374599mm²

to one decimal place

1520.5mm²

Search
Khan Academy
Dependent probability
In a class of 7, there are 4 students who play soccer.
If the teacher chooses 3 students, what is the probability that none of the three of them play soccer?

Answers

Answer:

[tex]\frac{12}{49}[/tex]

Step-by-step explanation:

[tex]\frac{4}{7} *\frac{3}{7} = \frac{12}{49}[/tex]

Hope this helps.

simplify 7^1
4^0
6^-1

Answers

1. [tex] \: {7}^{1} [/tex]

➺ [tex]\boxed{\: 7 }[/tex]

2. [tex] \: {4}^{0} [/tex]

➺ [tex]\boxed{ \: 1 }[/tex]

( ∵ any number to the power of 0 is 1. )

3. [tex] \: {6}^{ - 1} [/tex]

➺ [tex] \: \frac{1}{6} [/tex]

[tex]( \: ∵ {a}^{ - 1} = \frac{1}{a} )[/tex]

➺ [tex]\boxed{ \: 0.1667 }[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{❦}}}}}[/tex]

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