Let f(x) = x2 - 1 and g(x) = 2x - 3. Find the new function and write it in simplest form
f+g
a.
-x² + 2x - 2
b. x2 - 2x + 2
x² + 2x - 4
d. 2x3 - 3x2 - 2x + 3
Please select the best answer from the choices provided
A
B
С
D

Let F(x) = X2 - 1 And G(x) = 2x - 3. Find The New Function And Write It In Simplest Formf+ga.-x + 2x

Answers

Answer 1

Answer:

Option C is the correct answer

[tex] {x}^{2} + 2x - 4[/tex]

Step-by-step explanation:

[tex]f(x) = {x}^{2} - 1 \\ g(x) = 2x - 3 \\ (f + g)(x) = f(x) + g(x) \\ (f + g)(x) = {x}^{2} - 1 + 2x - 3 \\ \purple{ \boxed{ \bold{ (f + g)(x) = {x}^{2} + 2x - 4}}}[/tex]

Answer 2

Answer:

Step-by-step explanation:


Related Questions

At Shimla, temperature was -1℃ on Saturday and rose by 3℃ on Sunday. What was the temperature on Sunday?

Answers

Answer:

labron james

Step-by-step explanation:labron james labron james labron james

Answer:7c

Step-by-step explanation:

idk.

Which graph represents the function g(x) = |x + 4| +2

Answers

Answer:

none of the two graphs in the pic.

it should be one in the II quadrant

Step-by-step explanation:

the plus four means to move 4 to the left

the plus 2 means to move up 2

That would make the vertex in the II quadrant.

Answer:

its A

Step-by-step explanation:

THIS QUESTION GOT ME STRESSIN HELPPP A science test, which is worth 100 points, consists of 24 questions. Each question is worth either 3 points or 5 points. If x is the number of 3-point questions and y is the number of 5-point questions, the system shown represents this situation. x + y = 24 3x + 5y = 100 What does the solution of this system indicate about the questions on the test? The test contains 4 three-point questions and 20 five-point questions. The test contains 10 three-point questions and 14 five-point questions. The test contains 14 three-point questions and 10 five-point questions. The test contains 20 three-point questions and 8 five-point questions.

Answers

Answer:

14 and 10

Step-by-step explanation:

14x5=70

10x3=30

100=70+30

This is a continuous set of points in the coordinate plane. It can be, but is not always, straight.

Answers

Answer:

Linear. While all linear equations produce straight lines when graphed, not all linear equations produce linear functions. In order to be a linear function, a graph must be both linear (a straight line) and a function (matching each x-value to only one y-value).

I WILL GIVE YOU BRAINLIEST!!!!!

Answers

Answer:

the answer is => c = 5

...

Let p: A triangle is acute.
Let q: A triangle is equilateral.
If q is true, which statements must be true? Select three options. p ∨ q p ∧ q p → q q → p q ↔ p

Answers

Answer:

all the statements are true

Step-by-step explanation:

The acute triangle is the triangle in which all the angles are less than 90°

While on the other hand, the equilateral triangle is the triangle in which all the angles are of 60° so this also makes the acute triangle

Given that

p = Acute triangle

q = equilateral triangle

Based on the above explanation

The conditions are as follows

p ∨ q is  true, the ∨ refers “or” condition, so if any of either statement is true then the statement is true

p ∧ q is also true, the ∧ refers that both the statements should be true.

The arrows on the left and right indicate "implies," and that is true if and only if the p is false or q is true. Both p and q are valid for both the right and the left arrows

The last means equal and is valid if both p and q are the same as they are, so that is true too.

Hence, all the statements are true

Answer: They are similar because their corresponding angles have proportional measures and their corresponding sides are congruent. (not sure)

y varies directly as x and inversely as z. If y = 5 when x = 3 and z = 4, find y when x = 6 and z = 8.

Answers

Answer:

y= 201/40

Step-by-step explanation:

y=k (x÷z)

5 = (3÷4)k

cross multiply

20=3k

k= 6.7 or 67÷10

y = 6.7 (x÷z) the law

y = (6÷8) × 6.7

y = 0.75 ×6.7

y= 5.025 or 201÷40

root 3 cosec140° - sec140°=4
prove that

Answers

Answer:

Step-by-step explanation:

We are to show that [tex]\sqrt{3} cosec140^{0} - sec140^{0} = 4\\[/tex]

Proof:

From trigonometry identity;

[tex]cosec \theta = \frac{1}{sin\theta} \\sec\theta = \frac{1}{cos\theta}[/tex]

[tex]\sqrt{3} cosec140^{0} - sec140^{0} \\= \frac{\sqrt{3} }{sin140} - \frac{1}{cos140} \\= \frac{\sqrt{3}cos140-sin140 }{sin140cos140} \\[/tex]

From trigonometry, 2sinAcosA = Sin2A

[tex]= \frac{\sqrt{3}cos140-sin140 }{sin140cos140} \\\\= \frac{\sqrt{3}cos140-sin140 }{sin280/2}\\= \frac{4(\sqrt{3}/2cos140-1/2sin140) }{2sin280}\\\\= \frac{4(\sqrt{3}/2cos140-1/2sin140) }{sin280}\\since sin420 = \sqrt{3}/2 \ and \ cos420 = 1/2 \\ then\\\frac{4(sin420cos140-cos420sin140) }{sin280}[/tex]

Also note that sin(B-C) = sinBcosC - cosBsinC

sin420cos140 - cos420sin140 = sin(420-140)

The resulting equation becomes;

[tex]\frac{4(sin(420-140)) }{sin280}[/tex]

= [tex]\frac{4sin280}{sin280}\\ = 4 \ Proved![/tex]

Um aparelho elétrico tem potência de 6500 watts. É usado quatro vezes ao dia. Sendo o valor do kwhR$0,25 determine o custo de energia elétrica no final de trinta dias, sabendo que o mesmo cada vez que é ligado no dia permanece ligado 2 horas e 36 minutos

Answers

Answer:

After thirty days with the mentioned use the cost of the device is R$ 507,00.

Step-by-step explanation:

We first need to calculate its total power consumption over the 30 days. Since its turned on four times a day for 2 h and 36 min each, we need to multiply this time by 4 to have the time it's turned on in a day and multiply that by 30 to calculate its total power consumption. Although, we need to convert the time from hours and minutes to only hours, to do that we divide the minutes part by 60 and sum it on the hour part. All of this is done below:

[tex]t = 2 + \frac{36}{60} = 2.6 \text{ h}[/tex]

[tex]\text{dayly time} = 4*t = 4*2.6 = 10.4 \text{ h}[/tex]

[tex]\text{monthly time} = 30*\text{dayly time} = 30*10.4 = 312\text{ h}[/tex]

[tex]\text{total power consumption} = \text{monthly time}*6500 = 312*6500\\\text{total power consumption} = 2028000 \text{ W} = 2028 \text{ kW}[/tex]

[tex]\text{total cost} = \text{total power consumption}*0.25\\\text{total cost} = 2028*0.25\\\text{total cost} = 507[/tex]

After thirty days with the mentioned use the cost of the device is R$ 507,00.

The ratio of a to b is 3 to 1, and the ratio of b to c is 1 to 5. What is the value of 2a+3b/ 4b+3c?
A. 3/16
B. 9/19
C. 1/2
D. 5/7
E. 18/19

Answers

Answer:

B

Step-by-step explanation:

Expressing the ratios as fractions, that is

[tex]\frac{a}{b}[/tex] = [tex]\frac{3}{1}[/tex] ( cross- multiply )

a = 3b

[tex]\frac{b}{c}[/tex] = [tex]\frac{1}{5}[/tex] ( cross- multiply )

c = 5b

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

Given

[tex]\frac{2a+3b}{4b+3c}[/tex] , substitute values from above for a and c

= [tex]\frac{2(3b)+3b}{4b+3(5b)}[/tex]

= [tex]\frac{6b+3b}{4b+15b}[/tex]

= [tex]\frac{9b}{19b}[/tex] ← cancel b on numerator/ denominator

= [tex]\frac{9}{19}[/tex] → B

divide 4^2/4^6
a. 4^-3
b. 4^3
c. 4^-4
d. 4^4

Answers

When dividing indices with the same base, the rule is to subtract the index of the denominator from the index of the numerator, and to keep the base the same.

In this case, the index of our denominator is 6, and the index of the numerator is 2.

2-6 = -4

The answer is [tex]4^{-4}[/tex].

Answer:

1) 4^-4

2) 1/256

Step-by-step explanation:

did on edge

Find the domain of the graphed function A. 2 2 C. 1<= x <= 5 D. x is all real numbers

Answers

The answer is 3 that’s not rug I recalling don’t no the answer

What is the volume of a rectangular prism with a length of 5 ft, width of 6 ft and a height of 4.5 ft ?

Answers

Answer:

135ft^3

Step-by-step explanation:

Multiply all of the numbers to get your answer.


Help me ASAP please.

If two lines intersect and one angle measures 25°, what are the measures of the other angles?


25
75
155
125

Answers

Answer:

155 and 25

Step-by-step explanation:

Answer: 155

Step-by-step explanation:

Two Lines that intersect form TWO angles. The sum of the Two Angles is always 180 degrees.

180-25 = 155

is x^2 + y^2 = 5 a function

Answers

Answer:yes

Step-by-step explanation:

Malik’s solution to the equation , when , is shown below.

Answers

Question: What is the Question?

There isn’t enough information

help pls!


A gumball machine contains three yellow, eight blue, and six pink gumballs. What is the probability that the next gumball that comes out will be neither yellow nor blue?

show work pls

Answers

Answer:

the probability that the next gumball that comes out will be neither yellow nor blue = 6/17

Step-by-step explanation:

neither yellow nor blue gumball = pink gumball = 6

3 yellow + 8 blue + 6 pink = total =17

HELP TIMED! WILL MARK BRAINLIEST Which table represents a liner function?

Answers

The one that goes:
X: 1,2,3,4,5
Y: 5,10,15,20,25

Answer: y= 5, 10, 15, 20, 25

Step-by-step explanation:

1, 2, 3, 4, and 5 each are 1 number apart

5, 10, 15, 20, 25 each are 5 numbers apart

the rate of change is 1/5

Let f(x) = 2x, g(x) = x2 + 2, and h(x) = 4x +3. Find the composite function.
(F*g)

Answers

Answer:

(f * g)(x) = 2(x²) + 4

Step-by-step explanation:

Explanation:-

let f(x) = 2 x, g(x) = x² + 2, and h(x) = 4 x +3

(f * g)(x)  = f(g(x)) = f(x² + 2)

                           = 2(x² + 2)

                           = 2(x²) + 4

final answer:-

(f * g)(x) = 2(x²) + 4

I will mark you brainliest!!! Identify the type of function.

Answers

Answer:

quadratic

Step-by-step explanation:

Uh I’m pretty sure it’s c, I did it plans got it correct

The graph shows the function f(x) = lx - h| + k. What is the
value of h?

Answers

Answer:h=f(X)-x-k

Step-by-step explanation:

F(x)=x+ h+k

h = F(x)-x -k

Answer:

-1.5

Step-by-step explanation:

HELPPPPP
What are the coordinates of the hole in the graph of the function?

f(x)=x^2−3x−10/x−5
Enter your answer in the boxes.

Answers

Answer: If the function is: f(x) = (x^2−3x−10)/(x−5) The function has no holes.

If the function is f(x) = x^2−3x−10/x−5 then the hole is at x = 0 (the left side goes up, and the right side goes down, as the numerator is a negative number)

Step-by-step explanation:

I am not shure of what is the function, as you used no parentheses in it, so i will solve it for two different functions:

We have the function:

f(x) = (x^2−3x−10)/(x−5)

We want to find the "hole", this means that we want to find the value of x where the denominator is equal to zero.

If you look at the function, is easy to think that in x = 5 the denominator will be equal to zero, but we need to prove it.

First, we need to see if the numerator part is also zero when x = 5.

so

5^2 - 3*x - 10 = 25 -15 - 10 = 0

Ok, let's find the other root of the quadratic function:

x^2 - 3*x - 10 = (x - 5)*(x - b) = x^2 - (b + 5)*x + (b*5)

then we have: (b + 5) = 3 and b*5 = -10

then b = -2, this means that we can write the numerator part as:

x^2 - 3*x - 10 = (x - 5)*(x + 2)

then our function is:

f(x) =   (x - 5)*(x + 2)/(x - 5) = x + 2

This function has no holes.

Now, if the function actually is:

f(x) = x^2−3x−10/x−5

Then we have an x on the denominator of the third term of the equation, this denominator is 0 only when x = 0

A baker uses 34 cup of honey in one of his cakes. There are 60 calories in 18 cup of honey.How many calories are in 34 cup of honey?

Answers

Answer: 3/4 = 6/8

so u need 60*6, so

c=60*6 ?

c meaning calories

Answer:

How many calories are in 3/4 cup of honey? = 60/ 1/8*3/4

How many cups of honey will the baker use for 15 cakes? = 3/4*15

How many cakes could the baker make if he has 78 cup of honey? =  7/8 divided by 3/4.

Step-by-step explanation:

Promise this is tried and tested

write 3.25 x 10^4 as a ordinary number

Answers

Answer:

32500

Step-by-step explanation:

[tex]3.25 \times {10}^{4} = 3.25 \times 10000 \\ = 32500[/tex]

Answer:

32500

Step-by-step explanation:

3.25 x 10 to the power of 4 = 3.25 x 10000 = 32500

Find the next three terms in the geometric sequence: 72, 36, 18,... (sorry for bothering a lot)

Answers

Answer:

18 / 2 = 9

9 / 2 = 4.5

4.5 / 2 = 2.25

The next three terms are 9,4.5,2.25

Hope this helps

Step-by-step explanation:

1. What is 7/4 as a mixed number?
A. 17/4
B. 13/4
C. 3/4
D. 11/4

Answers

Answer:

the answer is B

Step-by-step explanation:

actually 7/4 in mixed number is 1 3/4 but i think it's just the same as the B (optional)

You select a marble without looking and then put it back. If you do this 10 times, what is the best prediction possible for the number of times you will pick a pink or a green marble?

Answers

The probability of selecting either a pink or green marble from the 10 marbles is; 2/10

What is the probability of selection?

We are told that you try to select a marble ten times.

Now, we want to try to find out the best probability of selecting either a pink or a green marble.

Now, it's possible that there are other marbles but if we want to know just for this two amrbles, then we can write the probability as;

P(either pink or green marble) = 2/10

Read more about Probability of Selection at; https://brainly.com/question/251701

Answer:

3

Step-by-step explanation:

Solve the equation.
-3x-5=16

What does 'x' equal?

Answers

Answer:

-7

Step-by-step explanation:

-3x-5=16

-3x=21

x=-7

Answer:

x=-7

Step-by-step explanation:

-3x-5=16 Addition property of Equality

-3x=21 Multiplication Property of Equality

x=-7

LAT QUESTION AND LAST TRY!!! WILL GIVE BRANLIEST!!!! AT LEAST TAKE A LOOK, SHARE YO SMARTNESSS!!!!!!!! PLS


IF Quadrilateral ABCD was rotated 90 degrees clockwise about point C, what would be the coordinates of B’?


A) (1, 1)
B) (2, 4)
C) (4, 2)

Answers

Answer:

X1,Y1

Step-by-step explanation:

If the Quadrilateral was rotated 90 degrees clockwise around point C, C would still be on the same X line that it is currently on but, point B would also rotate down to that same horizontal line. Between point C and point B there is a space of 3 units, so if that rotated 90 degrees clockwise it would be 3 units to the right of the current position of point C.  

Hope this helps!

part 4. Find the measure of the indicated angle to the nearest degree​

Answers

Answer:

hope this helps you

Other Questions
Evaluate the trigonometric expression. Round your answer to four decimal places.10 tan 20 =a0 The hip bone of a whale and the appendix of a human are referred to as ______because they have little current importance but were important in theancestors of these organisms.A.embryological structuresB.homologous structuresC.vestigial structuresD.mystery structuresE.analogous structures most often limits product availability for consumers.. ReligionB. CultureC. TransportationD. EducationPlease select the best answer from the choices provided The hard-cover edition of a book cost 3 times as much as the paperback edition. Both editions together cost $26.60. Find the cost of each. The perimeter of a rectangular playground shown is 140 feet what is the area of the playground if the length is 40 feet Cullumber Company issues $3.40 million, 20-year, 9% bonds at 98, with interest payable on December 31. The straight-line method is used to amortize bond discount. Collapse question part (a) Partially correct answer. Prepare the journal entry to record the sale of these bonds on January 1, 2017. (Credit account titles are automatically indented when amount is entered. Do not indent manually.) Date Account Titles and Explanation Debit Credit Jan. 1 Entry field with correct answer Locate the indefinite pronoun in the following sentence.Give each of the girls a practice ball. If a large tree is 22 feet tall and a smaller tree is 3/4 of the larger tree's height, then how tall is thesmaller tree? FAST ANSWER PLEASE THANKS choose the correct verb conjugation for each sentence elles ( boire ) du jus d'orangeBoivent BoisBoitBuvezPls hurry What are extensive properties of Oxygen? 1. 2x + 5 = 3x + 12. 3x + 2 = 4x - 33. 4x - 3 = 3x + 3Pls help equations. Find x, show workings. You are the best but answer only if u know it. If I report ur answer know that that's not the right answer. Love you all.Don't just work rubbish for points. A car costs 15000. Work out the price after a 13% discount. An importante philosophical idea during the Enlightenment was that Pls help!!Do you that the League of Nation would have been more successful if the United States have been a member? what is being displayed ? I dont understand B and C in this question so there are a deck of cards 1-10 i already got A right but B and C i dont understand B: what is the probability of choosing a card that has a digit 1 on it C: what is the probability that does not have a digit 1 on it? give both answers as a fraction here are the numbers to help 1 2 3 4 5 6 7 8 9 10 what were some of the major grievances Martin Luther had with the catholic church If you flip three fair coins what is the probability youll get at least two heads? How Are We Able to See the Moon?