Question 5 of 10
If f(x) = 4x2 + 1 and g(x) = x2 – 5, find (f+ g)(x).
O A. 3x2 + 6
B. 5x2 - 6
C. 3x2 - 4
D. 5x2 - 4
Step-by-step explanation:
(f + g)(x) = f(x) + g(x) = (4x² + 1) + (x² - 5) = 5x² - 4. (D)
Answer:
D. 5x^2-4
Step-by-step explanation:
We are asked to find (f+g)(x), which is really just the sum of the two functions.
(f+g)(x)=f(x)+g(x)
We know the the functions are:
• f(x)= 4x^2+1
• g(x)=x^2-5
Substitute the functions in.
(f+g)(x)=(4x^2+1)+(x^2-5)
Add the functions by combining like terms. For this equation, the like terms are those with x^2 and the constants.
(f+g)(x)= (4x^2+x^2)+(1-5)
Add the terms with x^2
(f+g)(x)=(5x^2)+(1-5)
Add the constants or terms without variables.
(f+g)(x)=(5x^2)+(-4) = 5x^2-4
The sum of the functions is D. 5x^2-4
What is this answer????
Answer:
im pretty sure its c
Step-by-step explanation:
is x/3 a polynomial
Answer:
Step-by-step explanation:
Poly means many.
This is only 1 term. It is a monomial.
Determine the range of the following relation.
Input output
-4 1
0 7
2 2
7 7
A
{2, 7}
B
{1, 2, 7}
C
{–4, 0, 2, 7}
D
{–4, 0, 1, 2, 7}
Answer:
The range of the relation is:
Range R = {1, 2, 7}
Therefore, option B is true.
Step-by-step explanation:
Given the relation
Input Output
-4 1
0 7
2 2
7 7
Determining the domain:
We know that the domain of relation consists of all the inputs or x-coordiantes of the ordered pairs.Thus, the domain of the relation is:
Domain R = {-4, 0, 2, 7}
Determining the range:
We know that the range of relation consists of all the outputs or y-coordiantes of the ordered pairs.Thus, the range of the relation is:
Range R = {1, 2, 7}
Please note that the duplicated elements in the domain or the range of the function are written only once.Therefore, option B is true.
Which of the following coordinates is located in Quadrant IV?
(4, –2)
(–2, –4)
(4, 2)
(–2, 4)
Please help me with this OMGGGGGGGGGGGGGGGGGGGGGGGGGGGG
Answer:
[tex]The \: slope \: is \: \frac{7}{3} .[/tex]
Step-by-step explanation:
To find the slope, we have to turn the equation into the slope-intercept form which is:
[tex]y = mx + b[/tex]
The slope is the m in that form.
we will solve for y.
[tex]7x - 3y = 21 \\ \frac{- 7x \: \: \: \: \: \: = - 7x}{ - 3y = - 7x + 21} \\ \\ \frac{ - 3y}{ - 3} = \frac{ - 7x + 21}{ - 3} \\ y = \frac{7}{3} x - 7[/tex]
Answer:
Step-by-step explanation:
-3y = -7x + 21
3y = 7x - 21
y = 7/3x - 7
slope is 7/3
answer is C
Use the quadratic formula to solve the zero(s) of the quadratic equation 3x^2-4x-6=0. Round to the nearest 10th.
Answer:
so Is because you do 3x2=6 so is
Step-by-step explanation:
3x2=6
x=(o,-6) ok
is c or d
1.Which statement about two negative numbers is true? .
Answer:
To negative numbers makes a positive number.
(only in dividing and multiplying)
Step-by-step explanation:
Please mark me brainliest
Jeanette purchased a concert ticket on a web site. The original price of the ticket was $75. She used a coupon code to receive a 20% discount. The web site applied a 10% service fee to the discounted price. Jeanette’s ticket was less than the original price by what percent?
Write the relation as a set of ordered pairs.
a. ordered pairs: {-1, -2), (0, 1), (3, 2)}
b. ordered pairs: {-2, -1), (1, 0), (3, 2)}
c. ordered pairs: {(-2, -1), (0, 1), (2,3)}
d. ordered pairs: {(-1, -2), (1, 0), (2, 3)}
how to change a vector direction by 90 degree
Answer:
multiply the X part of the vector by -1, and then swap X and Y values
Step-by-step explanation:
Jess saved $500 working during the summer. He plans to buy school clothes with his money. He found jea
exactly twice as many shirts as jeans, how many pairs of jeans can Jess buy without exceeding $500?
Answer:
167 pairs
Step-by-step explanation:
Represent jeans with J and shirts with S
[tex]S = 2J[/tex]
[tex]Amount = \$500[/tex] --- Maximum
Required
Determine the number of pair of jeans he can buy
To represent as an inequality, we have:
[tex]S + J \leq Amount[/tex]
[tex]S + J \leq 500[/tex]
Substitute 2J for S
[tex]2J + J \leq 500[/tex]
[tex]3J \leq 500[/tex]
Divide through by 3
[tex]J \leq 500/3[/tex]
[tex]J \leq 167[/tex]
Hence, without exceeding $500, Jess can buy 167 pairs of jeans
Answer:
7
Step-by-step explanation:
30( 7 ) + 14( 12 ) =448 [tex]\leq[/tex] 500
A right triangle has one angle that measures 24°. What is the measure of the other acute angle?
Answer:
66 degrees
Step-by-step explanation:
90+24=114
180-114=66
Answer:
66 degrees
Step-by-step explanation:
a right triangle must have a 90 degree angle and our other angle is 24. we also know that the sum of all the angles must be 180. 90+24=114
180-114 is 66
32 jelly beans was share with 8 students how many each students get
please answer it i`ll give you brainiest
Answer:
4 students would get jellybeans because 32 divided by 4 would be 8 and 8 times 4 is 32. hope this helps! :D
Step-by-step explanation:
brainliest plz?
If 32 jelly beans were shared with 8 students each will get 4 jelly beans.
What is a unitary method?A unitary method is a mathematical way of obtaining the value of a single unit and then deriving any no. of given units by multiplying it with the single unit.
Given, 32 jelly beans were shared with 8 students.
The no. of jelly beans each student will get can be obtained by dividing the total no. of jelly beans divided by the total no. of students which is,
= (32/8) jellybeans each.
= 4 jelly beans each.
learn more about the unitary method here :
https://brainly.com/question/28276953
#SPJ2
Match each function with the expression representing Its Inverse function.
1. g(x)= -0.5 x
2. h(x)= 4 x
3. y= x - 4
4. f(x)= x/2
5. k(x) = x
6. p(x) = x+4
Answer:
Step-by-step explanation:
1). g(x) = -0.5x
Equation form of the given function is,
y = -0.5x
Interchange x and y,
x = -0.5y
Solve for y,
y = [tex]-\frac{x}{0.5}[/tex]
y = -2x
Inverse function will be,
[tex]g^{-1}x=-2x[/tex]
2). h(x) = 4x
Equation form of the function will be,
y = 4x
Interchange x and y,
x = 4y
Solve for y,
y = [tex]\frac{x}{4}[/tex]
Inverse function will be,
[tex]h^{-1}(x)=0.25x[/tex]
3). y = x - 4
Interchange x and y,
x = y - 4
Solve for y,
y = x + 4
Therefore, inverse of the linear equation is,
y = x + 4
4). f(x) = [tex]\frac{x}{2}[/tex]
Equation form of the function will be,
y = [tex]\frac{x}{2}[/tex]= x
Interchange x and y,
x = [tex]\frac{y}{2}[/tex]
Solve for y,
y = 2x
Therefore, inverse function will be,
[tex]f^{-1}(x)=2x[/tex]
5). k(x) = x
Equation form of the function will be,
y = x
Interchange x and y,
x = y
Solve for y,
y = x
Inverse of the function 'f' will be,
[tex]k^{-1}(x) =x[/tex]
6). p(x) = x + 4
Equation form of the function will be,
y = x + 4
Interchange x and y,
x = y + 4
Solve for y,
y = x - 4
Inverse of the function 'p' will be,
[tex]p^{-1}(x)=x - 4[/tex]
2 year loan at 6 percent interest rate and $264.00 paid wa
Answer:2,576
Step-by-step explanation:
PLEASE HELP!
Find the real or imaginary solutions of the following equation by factoring.
y^3 + 27 = 0
Answer:
-31.5(1 + i√3)1.5(1 - i√3)Step-by-step explanation:
y³ + 27 = 0(y + 3)(y² - 3y + 9) = 01. y + 3 = 0 ⇒
y = -32. y² - 3y + 9 = 0
y = (3 ±√(3² -4*9))/2y = (3 ± √-27)/2y = (3 ± i√27)/2y = 3/2(1 ± i√3)y = 1.5(1 ± i√3)Answer:
Do u still need the answer?
Step-by-step explanation:
1/3 x (21.69 – 24.99)
Answer:
I think it might be 0.30
Step-by-step explanation:
Garrett needs 3 gallons of fruit juice to make punch.
He already has 5/6 gallon of grape juice and 2/3 gallon of orange juice.
Drag amounts of juice that he can add to the juice he already has to make exactly 3 gallons.
Answer:
3 of each gallon
Step-by-step explanation:
It worked for me on ttm
Answer:
4 of 1/3 and 1 of 1/6
Step-by-step explanation:
5/6+2/3=9/6
9/6+4/3=17/6
17/6+1/6=18/6
18/6=3
If Arron's boat travels 9 mph and the river runs 4 miles mph in still water.how long will it take to travel 18 miles upstream
Answer: It will take Aaron's boat 3³/₅ hours to travel 18 miles upstream.
That is 3.6 hours or 3 hours and 36 minutes.
Step-by-step explanation:
Traveling upstream, the boat's speed will be reduced by the speed of the river current.
9 - 4 = 5mph
18mi/5mph = 3.6 hours 0r 3³/₅ hours
For a giveaway a local radio station is putting together goodie bags . The bags will include tickets and posters each bag will receive an equal share of 54 tickets and 36posters
Answer: There are 18 goodie bags, each with 3 tickets and 2 posters.
Step-by-step explanation:
Solve the system.
x + 2y – 4z = 4
2x – y + 2z = 3
3x – 8z = -2
Enter answer as ordered triple.
X+2y - 4z =4
2x-y +2z =3
3x-8z=-2
9z / 14y/7x
Answer:
(2,3,1)
Step-by-step explanation:
i just did the problem
hope this helps :))
Solve for x:
8x – 3 = 5 (2x + 1)
A. x= -4
B. x= -2
C. x=1
D. = 9
Answer:
x=-4
Step-by-step explanation:
Answer: A
Step-by-step explanation: Simplify 5(2x+1) into 10x+5. bring it to the other side; -2x-8=0. -2x=8 divide 8 by -2 to get x alone. x=-4
PLEASE HELP ME ASAP!!!!!!!
Answer:
the answer is c
Step-by-step explanation:
dont mess with people who need help go earn your answers dont steal points
How do you show 72 × 139
(doing the work)
Answer:
10008
Step-by-step explanation:
I will give barinest if solved
Answer:
[tex]x=19[/tex]
Step-by-step explanation:
[tex]We\ are\ given\ that,\\Line\ YZ\ ||\ ZW\\\angle XYM=90\\Hence,\\Line\ Segment\ XY\ being\ the\ transversal,\ cuts\ YZ\ and\ XW.\\Hence,\\We\ know\ that\\The\ set\ of\ co-interior\ angles [Interior\ angles\ on\ the\ same\ side\\ of the\ transversal]\ are\ supplementary.\\Hence,\\Here,\\The\ pair\ of\ co-interior\ angles\ formed\ are\ \angle XYZ\ and\ \angle YXW.\\Hence,\ they\ are\ supplementary\ too.\\Hence,\\\angle XYZ\ + \angle YXW= 180\\Hence, by\ substituting\ XYZ=90+2x,\angle YXW=3x-5[/tex][tex]90+2x+(3x-5)=180\\85+5x=180\\5x=180-85\\5x=95\\x=19[/tex]
-2(m+1) = 10, whats m?
-2(m+1) = 10
-2m+-2 = 10
-2m = 12
-m = 6
Answer: m = -6
How can I find the systems of linear inequalities
What is the magnitude of the vector shown?
5
13
radical 5
radical 13
Answer:
D on edge
Step-by-step explanation:
radical 13
Darnell has $1.20 in quarters and nickels. He has 8 coins altogether. How many coins of each kind does he have?
Answer:
4 quarters
4 nickels
Step-by-step explanation: