let f(x)=x^2 +2 and g(x)=1-3x. find each function value: (fg)(-1)

Answers

Answer 1

Answer:

12

Step-by-step explanation:

so basically

(x^2+2)*(1-3x)=-3x^3+x^2-6x+2

now plug in -1

-3(-1)^3+(-1)^2-6(-1)+2=12

hope this helped :)

Answer 2

The correct value of (fg)(-1) is "12". A further solution of the given query is provided below.

Given functions are:

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

[tex]g(x) = 1-3x[/tex]

Now,

⇒ [tex](fg) = (x^2+2)(1-3x)[/tex]

By applying multiplication, we get

           [tex]=x^2+2-3x^3-6x[/tex]

           [tex]=-3x^3+x^2-6x+2[/tex]...(equation 1)

By substituting the value "-1" in place of "x" in equation 1, we get

⇒ [tex](fg)(-1) = -3(-1)^3+(-1)^2-(6)(-1)+2[/tex]

                  [tex]=-3(-1)+1+6+2[/tex]

                  [tex]=3+1+6+2[/tex]

                  [tex]=12[/tex]

Thus the right answer is (fg)(-1) = 12.

Learn more:

https://brainly.com/question/10057660

Let F(x)=x^2 +2 And G(x)=1-3x. Find Each Function Value: (fg)(-1)

Related Questions

Simplify: (2x + 8)(7x2 - 9x - 5)

Answers

Answer:

-18x^2 -54x + 72

Step-by-step explanation:

(2x+8)(7x2-9x-5) simplifies to -18x2−54x+72

8x+5x^3-5 write polynomial in standard form, Then name the polynomial based on the degree and number of terms

Answers

Answer:

wag na baka imyday mo pa

Step-by-step explanation:

hahahahahahahahahahahahahahahahahaahhaahahahahahhahahahahahahahahahahahahahahahahahahahahahahahahhahahahah ahahahahahahaha ahahahahahahaha ahahahahahahaha hahahahahah ahahahahahahaha

(10 − 343) − 2 × 6 simplify the operation using the order of operations

Answers

[tex]\huge\text{Hey there!}[/tex]

[tex]\large\text{\bf{{(10-343)-2\times6}}}\\\bold{Do\ PEMDAS}\\\bold{PEMDAS\ is....}\\\bold{Parentheses}\\\bold{Exponents}\\\bold{Multiplication}\\\bold{Division}\\\bold{Addition}\\\bold{Subtraction}}[/tex][tex]\\\bold{Do\ PEMDAS}\\\\\bold{PEMDAS\ is....\downarrow}\\\\\bold{Parentheses}\\\bold{Exponents}\\\bold{Multiplication}\\\bold{Division}\\\bold{Addition}\\\bold{Subtraction}}[/tex]

[tex]\large\text{\bf{(10 - 343) - 2 * 6}}\\\large\text{\bf{10 - 343 = -333}}\\\large\text{\bf{(-333) - 2 * 6}}\\\large\text{\bf{2 * 6 = 12}}\\\large\text{\bf{(-333) - 12 = -345}}\\\boxed{\boxed{\large\text{\bf{Answer: -345}}}}\huge\checkmark[/tex]

[tex]\textsf{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

1 of 12
Eli is following this recipe to bake bread rolls.
He uses 500 g of flour.
How much of the other ingredients does he use?
Recipe: Makes 12 bread rolls
400 g flour
6 g salt
8 g yeast
40 mL oil
360 ml water
g salt
g yeast
mL oil
mL water

Answers

Answer:

360

Step-by-step explanation:

&$5%4645$655$456&&&66

Three angles of a quadrilateral are 75,120, 90,then the fourth angle..​

Answers

Answer:

75

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right  

Equality Properties

Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of Equality

Geometry

Sum of Angles in a Quadrilateral: 360

Step-by-step explanation:

Step 1: Set up

75 + 120 + 90 + ∠4 = 360

Step 2: Solve

Add:                                                                                                                   285 + ∠4 = 360[Subtraction Property of Equality] Subtract 285 on both sides:                   ∠4 = 75

Simplify
3^-2 × -2^3​

Answers

Answer:

[tex]\huge\boxed{\boxed{\color{silver} \sf- \frac{8}{9}}}[/tex]

Step-by-step explanation:

to understand thisyou need to know about:law of exponentPEMDAStips and formulas:[tex] {x}^{ - n} < = > \frac{1}{ {x}^{n} } [/tex]let's solve:

[tex] {3}^{ - 2} \times { - 2}^{3} [/tex]

[tex] \frac{1}{ {3}^{2} } \times - 2 \times - 2 \times - 2[/tex]

[tex] \frac{ 1}{9} \times - 8[/tex]

[tex] - \frac{8}{9} [/tex]

Step-by-step explanation:

3^-2 × -2^3

1/3²×-2³

1/9×-8

-8/9

This figure is made up of a rectangle and parallelogram. What is the area of this figure.

Answers

Answer:

area of the parallelogram=6

area of the rectangle=20

total area=26 square units


New York is 5 hours behind London. It is 15:55 in London,
what time is it in New York using the 24 hour clock?

Answers

Answer:

10:55

Step-by-step explanation:

15:55 - 5 = 10:55

Which of these systems of equations has an infinite number of solutions?

Answers

Answer: The first one

Step-by-step explanation:

-6c + 11d = 20

-6c + 11d = 20

They're the same equation meaning they'll be on the same line. They would have infinite solutions.

Answer: The first one

Step-by-step explanation:

-6c + 11d = 20

-6c + 11d = 20

pls solve ii need it

Answers

Answer:

multiply each decimal

Step-by-step explanation:

Answer:

1.144

Step-by-step explanation:

multiply 1.1x0.8x1.3

WILL MARK BRAINLEST PLS HELP ME Find the area of the circle. Round to the nearest tenth. Use 3.14 for it.
32 m
The area of the circle is about
m2.

Answers

Answer:

[tex]804.3m^2[/tex]

[tex]\pi *16^2=804.24772[/tex]

Suppose that You had launch the message 6.75 feet west from the edge of the ravine Instead of 5 feet west from the edge of the ravine would the message make it across the ravine show your work and explain your answer

Answers

Answer:

6.75 times 5 would be 17.1

Step-by-step explanation:

Determine the graph that represents a function.

Answers

3rd one there cant be anything under or over a line so it cant be the circle or the parabola so it has to be the 3rd one
the function would be the third graph. to find out if a graph is a function do something called a vertical line test. basically take a pencil or something straight and out it vertically against the graph then push it along the graph. at each given point there should only be one point. so the first two would not pass the vertical line test

ILL MARK AS BRAINLEST
Twice Carrie’s age increased by three is equal to twenty-five. Which equation can be used to find Carrie’s age, x?

A.
2(x + 3) = 25

B.
2(3) + 25 = x

C.
2x + 3 = 25

D.
x + 2(3) = 25

Answers

Answer:

im pretty sure the answer is c

PLZ HELP PLZ HELP

SELECT ALL MEASURMENTS THAT ARE ABOUT 1 YARD LONG


Length of student desk

Height of classrom'

Width of classroom door

Height of building
Length of a movie ticket

Answers

Answer:

c

Step-by-step explanation:

2. Find the area of a circle with a radius of 5 meters. A circle with a radius of 5 meters has an area of

Answers

Answer:

A=πr2=π·52≈78.53982m²

Step-by-step explanation:

Answer:

78.57 m^2

Step-by-step explanation:

answer is 78.57

Is 4x-10y=2 equal to 4x-3y=0?

Answers

Answer:

No it is not

Step-by-step explanation:

John and Adam are selling candy. John sells 6 pieces of candy for $10. Adam sells 13 pieces of candy for $20. Whose candy costs less?

Answers

Adam,
because for John if you add 6+6 = 12 for 20 dollars where Adam has 13 for 20

Answer:

John sells candy at the lowest price.

Step-by-step explanation:

If John sells 6 candies at 10$, then that's what's called a ratio between the price and the candy. We can double the amount of candy and the price to $20 for each 12 candies, $30 for 24, $40 for 36, etc. But it would still maintain the ratio of 6 candies for each 10$. Adam however, sells candy at 13 pieces for $20. We can divide the ratio down to 6.5 candies for 10$. But since we "can't" split a candy in half, we'll round it to 7 pieces for 10$, which costs more than 6 for 10$: Therefore, John sells candy at the lower price.

RIP my points went down alot ;-; gived away 1k+ points today. sry i couldnt give more. ill give brainliest to first person that answered

Answers

Heya, how are you doing today ^-^

Convert the equation to vertex form.
y = x2 – 8x + 10

Answers

Answer:

Step-by-step explanation:

y = (x² - 8x) + 10

Complete the square

 coefficient of the x term: -8

 divide it in half: -4

 square it: (-4)² = 4²

 use 4² to complete the square and keep the equation balanced:

y = (x²-8x + 4²) - 4² + 10

y = (x-4)² - 6

Answer:

y = (x - 4)² - 6

Step-by-step explanation:

use the 'completing the square' method:

x² - 8x + 10 = 0

x² - 8x + 16 = -10 + 16

(x - 4)² = 6

y = (x - 4)² - 6

In Mr. Richard's class, 5/8 of the students like
to bake. Of those students, one-half prefer to
bake cookies. What fraction of the students
prefer to bake cookies?

Answers

Do you have answer choices?

A labor dispute has arisen concerning the distribution of 20 laborers to four different construction jobs. The first job is considered to be very undesirable and requires 6 laborers. The second, third and fourth jobs require 4, 5 and 5 laborers, respectively. The dispute arose over an alleged random distribution of the laborers to the jobs that placed all 4 members of a particular ethnic group on job 1. In considering whether the assignment represented injustice, a mediation panel desired the probability of the observed event. Determine the number of sample points in the sample space S for this experiment. That is determine the number of ways the 20 laborers can be divided into groups of the appropriate sizes to fill all of the jobs. Find the probability of the observed event if it is assumed that the laborers are randomly assigned to jobs.

Answers

Answer:

The answer is "0.30%"

Step-by-step explanation:

To assign employees to work, we have to select 6 out of 20 to do work, instead select 4 out of another 14 jobs, 2 to do, and 5 out of another 10 works 3. The other five were going to go do work four. They may decide how often ways of making each of these options. Their service would be how many forms to allocate those four positions to staff. The random sample is from the height.

There are equally estimated that numbers of arrangements with both the four in Job 1.They then allocate all four to work 1. In this situation We must then select 2 out from the 16 existing spaces in job 1, 4 out from the 14 remaining spaces in job 2, 5 out of the 10 existing spaces in job 3 as well as the ones remaining in job 4.

The possibility of any four being at 1 is that they've been all divided by the overall amount of circumstances in 1 task.

[tex]\to \frac{[ \frac{16!}{(2!4!5!5!)}]}{[\frac{20!}{(6!4!5!5!)}]}\\\\\to [ \frac{16!}{(2!4!5!5!)}] \times [\frac{(6!4!5!5!)}{20!}]\\\\\to [ \frac{16!}{(2!)}] \times [\frac{(6!)}{20!}]\\\\\to [ \frac{16!}{(2!)}] \times [\frac{(6\times 5 \times 4 \times 3 \times 2!)}{20!}]\\\\\to 16! \times [\frac{(360)}{20 \times 19 \times 18 \times 17 \times 16!}]\\\\\to \frac{(360)}{20 \times 19 \times 18 \times 17 }\\\\\to \frac{(360)}{20 \times 19 \times 18 \times 17 }\\\\\to \frac{360}{116,280}[/tex]

[tex]\to 0.00309597523 \approx 0.30 \%[/tex]

Jacob bought 9 bags of balloons. Each bag has 25 balloons. He fills all the balloon and puts 5 balloons in each bunch. How many bunches can he make please help me

Answers

45
9 x 25 = 225
225 divided by 5= 45
So Jacob can make 45 bunches
Hopefully I’m right :)

I need help with this whoever can get it right I will mark you brainlest

Answers

the answer is c. 72cm^2

for each section of the prism you multiply the length times the width and then add all of the numbers together to get 72
72cm^2!!!!! Your welcome

SOLVEEEEEE XXXXXXXxx

Answers

Answer:

25 degrees

Step-by-step explanation:

The total angle sum of a triangle is 180 degrees

since the two sides are equal...

(x) + (x) + (4x + 30) = 6x + 30 = 180

==> x = 25 degrees

Simplify (3x − 5) + (3x + 6)

Answers

Answer:

6x+1

Step-by-step explanation:

3x+3x=6x

-5+6=1

Answer:

6x+1

Step-by-step explanation:

First remove the parentheses

the combine like terms!

6x+1

Hoped it help!

Please Helppplpppppp

Answers

Answer:B
I hope this helps and have a great day!

A hot air balloon is at an altitude of

100 1/5 yards. The balloon's altitude decreases

by 10 4/5 yards every minute. Determine the

number of minutes it will take the balloon to reach an altitude of 57 yards.

Answers

Answer:

It will take 4 minutes for the balloon to reach an altitude of 57 yards.

Step-by-step explanation:

Initial altitude:

100 1/5 yards = 100 + 0.2 = 100.2 yards.

Decrease per minute:

10 4/5 yards = 10 + 0.8 = 10.8 yards.

So, after t minutes, the height of the ballon is given by:

[tex]h(t) = 100.2 - 10.8t[/tex]

Number of minutes it will take the balloon to reach an altitude of 57 yards.

This is t for which [tex]h(t) = 57[/tex]. So

[tex]h(t) = 100.2 - 10.8t[/tex]

[tex]57 = 100.2 - 10.8t[/tex]

[tex]10.8t = 43.2[/tex]

[tex]t = \frac{43.2}{10.8}[/tex]

[tex]t = 4[/tex]

It will take 4 minutes for the balloon to reach an altitude of 57 yards.

Shen started cleaning at 11:51 AM.
He finished at 1:29 PM.
How long did he clean?
hour(s) and minute(s)

Answers

Answer: 1 hour 38 minutes

Step-by-step explanation:

From 11:51 AM to 12:00 PM (noon)

9 minutes

from 12:00 PM to 1:00 PM

1 hour

1:00 PM to 1:29 PM

29 minutes

______________________________

9 minutes + 1 hour + 29 minutes

1 hour 38 minutes

What is the product?
(X^4)(3x-2)(4x2 +5x)?

Answers

Answer:

12x^7+7x^6-10x^5

Step-by-step explanation:

(X^4)(12x³+15x²-8x²-10x)

(X^4)(12x³+7x²-10x)

12x^7+7x^6-10x^5

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