Answer:
(fog)(x) = f(g(x)) = 3(x^2 + 1 ) + 2
Step-by-step explanation:
For this problem, you simply need to understand the notation (fog)(x) is equivalent to f ( g ( x ) ). This means you simply plug the function g(x) into each x within the function of f(x). Let's do this:
f(x) = 3x + 2
g(x) = x^2 + 1
f(g(x)) = 3(x^2 + 1 ) + 2
(fog)(x) = f(g(x))
Cheers.
The right line is a 90° clockwise rotation of the left line about the origin. Click the 90° clockwise button. Are these lines the same? What does this mean about how a line changes when you rotate it?
Answer:
Step-by-step explanation:
From the graphs attached,
Let the coordinates of the two points given on the black line in the first graph are (-4, 2) and (-1, 10).
When these points have been rotated by 90° about the origin,
Rule for the rotation will be,
(x, y) → (y, -x)
Therefore, coordinates of the image points will be,
(-4, 2) → (2, 4)
(-1, 10) → (10, 1)
Therefore, red line given given in graph (1) and black line (After rotaion of 90° clockwise) in graph (2) will be same.
Answer:
yes they are the SAME.
Step-by-step explanation:
A music store sold 10^3 CDs and 10^2 CD players. If each CD costs $12 and each CD player costs $35, what was the store's total earnings? ( ^ means power )
Shelby purchases DVDs from a website. Each DVD costs $11, and the shipping and handling fees are $6.95. Shelby is charged a total of $50.95. How many DVDs did she purchase?
DVD cost , $11 .
Shipping and handling fees , $6.95 .
Total money charged , $50.95 .
Let , total money is T .
So,
[tex]11x+6.95=T[/tex] ( Here x is number of DVD )
[tex]11x+6.95=50.95\\\\11x=44\\\\x=4[/tex]
Therefore , total number of DVD purchased is 4 .
Hence , this is the required solution .
Help me answer this, thank you
Answer:
4
Step-by-step explanation:
P={1,2,3,4,5,6}
Q={3,4,5,6,7,8,9}
PnQ={3,4,5,6}
Therefore, n(PnQ) =4
look at this shape : which image shows a rotation?
Answer:
Option C
Step-by-step explanation:
What is the decimal expansion of the following fraction?
1/8
It's 0.125, it's not endless either
Therefore, the decimal value is [tex]0.125[/tex] i.e., option (C) is the correct answer.
What is the decimal?
Decimals are an alternative way to represent fractions in Mathematics. Instead of writing [tex]\frac{1}{2}[/tex], for example, you can express a fraction as the decimal [tex]0.5[/tex], where zero is in ones’ place and five is in tenth place.
Here given number is [tex]\frac{1}{8}[/tex] so the decimal value is [tex]0.125[/tex].
Hence, the decimal value is [tex]0.125[/tex] i.e., option (C) is the correct answer.
To know more about the decimal
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(SAT Prep) In the given figure, C is the midpoint of AB and M is the midpoint of AC. Find the length of NB if MC = 4 and AN = 14. (A) 3 (B) 6 (C) 2 (D) 3.5
Answer:
C) 2
Step-by-step explanation:
I don't have an explanation, I just guessed.
Answer:
(C) 2
Step-by-step explanation:
We will need to make a Given, Statement, and Reason table to solve this problem.
Given: Statement: Reason:
AC=CB AC=2MC Part Whole Postulate
AM=CM AC=2x4=8 Substitution and Algebra
CM=4 AB=2AC Part Whole Postulate
AN=14 AB=2x8=16 Substitution and Algebra
Find: AB-AN=NB Part Whole Postulate
NB 16-14=2 Substitution and Algebra
NB=2
Hope this helps! :)
Math problem.. 16 points and brainly very easy problem
Answer:
can you type it so i can answer it, i cant see the picture
Step-by-step explanation:
10x + 2=32 solve for x
Answer:
X=3
Step-by-step explanation:
10x+2= 32
10x=32-2
10x=30
X=30÷10
X= 3
Answer:
x=3
Step-by-step explanation:
10x + 2 = 32
- 2 -2 (2's cancel each other out )
10x = 30 divide each side by 10 and 10s cancel out so all your left with x =3
[tex]x = 3[/tex]
0.22/m = 0.05/3.7 please could you answer
Answer:
16.28
Step-by-step explanation:
0.22/m=0.05/3.7
0.814/0.05=m
m=16.28
8k = 0 jsdfsiuefhwejbnmdshurefjnsfse
Answer:
k=0
Step-by-step explanation:
[tex]8k = 0 \\ k = \frac{0}{8} \\ k = 0[/tex]
Answer:
k = 0
Step-by-step explanation:
8k = 0
k = 0 Divide 8 to both sides
Hi.
Please i need help with this question.
Workings please.
Find the operation used in solving the question and answer the given question.
No 43 options
a 19
b 16
c 13
d. 5 1/3
e . 2 2/3
Answer: 41. A) 0 42. B) 1/12 43. B) 16
Step-by-step explanation:
The pattern is: multiply the bottom row and subtract the top number.
Sample: 3 x 2 - 5 = 1
5 x 3 - 6 = 9
2 x 1 - 1 = 1
41) 7 x 13 - x = 91
91 - x = 91
x = 0
42) 1/2 x 1/2 - 1/6 = x
1/4 - 1/6 = x
3/12 - 2/12 = x
1/12 = x
Check the fractions. I had to guess what the denominators are because the image is blurry.
43) 8 x 3 - 8 - x
24 - 8 = x
16 = 0
Which of the following has the value of 4
infinite sequences of arithmetic expressions can have a value of 4
Step-by-step explanation:
infinite sequences of arithmetic expressions can have a value of 4
The least common multiple of 52,65 and 91 is what?
if 2x+8=16, what is the value of x+4?
Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{8}}}}}[/tex]
Step-by-step explanation:
First, finding the value of x
[tex] \sf{2x + 8 = 16}[/tex]
Move 8 to right hand side and change it's sign
[tex] \dashrightarrow{ \sf{2x = 16 - 8}}[/tex]
Subtract 8 from 16
[tex] \dashrightarrow{ \sf{2x = 8}}[/tex]
Divide both sides by 2
[tex] \dashrightarrow{ \sf{ \frac{2x}{2} = \frac{8}{2} }}[/tex]
Calculate
[tex] \dashrightarrow{ \sf{x = 4}}[/tex]
Value of x is 4
Now, Substituting / Replacing the value of x in order to find x+4
[tex] \sf{x + 4}[/tex]
plug the value of x
[tex] \dashrightarrow{ \sf{4 + 4}}[/tex]
Add the numbers : 4 and 4
[tex] \dashrightarrow{ \sf{8}}[/tex]
Hope I helped!
Best regards! :D
Tara is 2 years older than Ryan. The sum of their
ages is greater than 58. Describe Ryan’s age.
Ryan = 28 years
Tara = 30 years
Ryan is over 28 years old.
Step-by-step explanation:T = R + 2
T + R = 58
Replace T
(R + 2) + R = 58
2R = 56
R = 56 : 2
R = 28 years
T = 30 years
Christiana works at Texas Road House and makes $50 each night in tips plus $7.50 per hour. Write a function rule in function notation where M is the total money she makes and h is the number of hours she works in one night.
Answer:
[tex]M(h) = 7.50h + 50[/tex]
Step-by-step explanation:
Let's first get our variables straight. M is how much money you make each night, and h is the amount of hours she works.
This means that M will be what our function is equal to, aka the y-axis. h will be the x-axis.
We know that you earn a rate of $50 per night through tax, and your hours worked doesn't influence this in any way. That means there will be a constant on this function, +50.
We also know that you earn 7.50$ per hour, which is directly influenced by how many hours you work, so we will have [tex]7.50h[/tex].
Combining this all together, we get
[tex]M(h) = 7.50h + 50[/tex].
Hope this helped!
Find the modulus of the following. |9+40i|
Answer:
41Step-by-step explanation:
Given a complex number z = x+iy, the modulus of the complex number is expressed as |z| = √x²+y².
Given the complex number z = 9+40i
The modulus of the complex number z will be expressed as;
|z| = √9²+40²
|z| = √81+1600
|z| = √1681
|z| = 41
Hence the modulus of the complex number |9+40i| is 41. Note that a complex number will return a real value.
Answer:
|9+40i| = 41
|-10+24i| = 26
He should have used 13 instead of 13i.
Step-by-step explanation:
PLEASE MARK BRAINLIEST
Edge 2021
Look at the graph of the linear function. The rate of change between point A and point B is 2. What is the rate of change between point C and point D? A.= negative 2 B.= negative 1/2 C.= 1/2 D.= 2
Answer:
D. 2
Step-by-step explanation:
For a linear equation, the rate of change between any given two point on the line is always constant and the same.
Therefore, since rate of change between point A and point B is said to be 2, therefore, the rate of change between point C and D would be the same as 2.
We can confirm this by using this formula to calculate the rate of change, which is: [tex] \frac{y_2 - y_1}{x_2 - x_1} [/tex]
Let,
[tex] C(1, 2) = (x_1, y_1) [/tex]
[tex] D(2, 4) = (x_2, y_2) [/tex]
Plug in the values into the formula:
[tex] = \frac{4 - 2}{2 - 1} = \frac{2}{1} = 2 [/tex]
As we can see, the rate of change between point C and point D is still the same as the rate of change between point A and point B = 2
Answer:
D) 2
Step-by-step explanation:
on edge
Express 25 to the power of 4x as a power of 5 in terms of x
Step-by-step explanation:
25^(4x) = (25^4)^x = (5^8)^x = 5^(8x).
Solve y = 4x + 8x for x
Answer:
[tex]\displaystyle x=\frac{y}{12}[/tex]
Step-by-step explanation:
We are given the equation:
[tex]y=4x+8x[/tex]
And we want to solve it for x.
We can combine like terms on the right-hand side:
[tex]y=12x[/tex]
We can now divide both sides by 12:
[tex]\displaystyle x=\frac{y}{12}[/tex]
In conclusion:
[tex]\displaystyle x=\frac{y}{12}[/tex]
Answer:
[tex]\Huge \boxed{ x=\frac{y}{12} }[/tex]
[tex]\rule[225]{225}{2}[/tex]
Step-by-step explanation:
[tex]y=4x+8x[/tex]
Combining like terms.
[tex]y=12x[/tex]
Dividing both sides by 12.
[tex]\displaystyle \frac{y}{12} =x[/tex]
[tex]\rule[225]{225}{2}[/tex]
If | x + 4 | = 1, what value(s) could x have?
Answer:
-5 and -3 could both work in this situation
Step-by-step explanation
-5 + 4 = -1
| -1 | = 1
-3 + 4 = 1
| 1 | = 1
Which symmetry is represented by the function f(x) = |x|?
Answer:
symmetry with respect to the y-axis
Step-by-step explanation:
f(x) = |x| has symmetry with respect to the y-axis. It looks like a V with the vertex at the origin.
The symmetry of the function [tex]f(x)=|x|[/tex] is represented by the y-axis.
The given function is [tex]f(x)=|x|[/tex].
The function can be defined as,
[tex]f(x)=x;\;\;x\geq0\\f(x)=-x;\;\;x<0[/tex]
The function will always give the positive value of y or f(x) for all values of x.
The graph of the function is in the shape of V which is symmetric about the y-axis.
See the attached image.
Therefore, the symmetry of the function [tex]f(x)=|x|[/tex] is represented by the y-axis.
For more details, refer to the link:
https://brainly.com/question/24757478
Instead of having 1.5 times as many pink flowers as white flowers, molly has decided to plant a garden with twice as many pink flowers as white flowers per row
Answer:
Row 1 = 2 white flowers
Row 2 = 3 white flowers
Row 3 = 4 white flowers
Step-by-step explanation:
Instead of having 1.5 times as many pink flowers as white flowers, Molly has decided to plant a garden with twice as many pink flowers as white flowers per row. If she plants 3 rows, with 4, 6, and 8 pink flowers, how can you find the number of white flowers in each of those rows?
Let
White flowers = x
Pink flowers = 2x
Molly plants 3 rows with 4, 6 and 8 pink flowers
Number of white flowers in each row is
Row 1
Pink flowers = 4
2x = 4
Divide both sides by 2
x= 2
White flowers = 2 in row 1
Row 2
Pink flowers = 6
2x=6
Divide both sides by 2
x= 3
White flowers in row 2 = 3
Row 3
Pink flowers = 8
2x=8
Divide both sides by 2
x= 4
White flowers in row 3 = 4
Therefore, the number of white flowers in each rows are 2, 3 and 4 respectively
Answer:
To find the number of white flowers, use the constant of proportionality and the number of pink flowers per row. If Molly plants 4, 6, and 8 pink flowers in 3 rows, she has to plant 2, 3, and 4 white flowers in those rows, so there are twice as many pink flowers as white.
Step-by-step explanation:
This was the sample response on edge :)
This morning, Maria's car had 16.03 gallons of fuel. Now, 2.9 gallons are left. How much fuel did Maria use?
Answer:
take 16.03 and subtract 2.9
16.03-2.9=13.13
so maria used 13.13 gallons
Step-by-step explanation:
Maria used 13.13 gallons of gas, because the 16.03 gallons she started with minus the 2.9 gallons she had left equals 13.13 gallons. You can check by adding 2.9+13.13 to equal the 16.03 she started with.
What is the solution to this linear system? Enter a value in each box to create an ordered pair.
Answer:
Solution of the system will be (-3, 6).
Step-by-step explanation:
If a system of linear equations have been given in the question then we can find the solution of the linear equations by solving these equation algebraically.
But when a graph of the system of equation have been given solution of the system is the point of intersections Or common points lying on both the lines.
From the given graph,
Coordinates of the common point of both the lines is (-3, 6).
Therefore, solution of the system will be (-3, 6).
Answer: (-3, 6)
Step-by-step explanation:
you can see where the lines met
The temperature was -2F. Dropped 9F. What is the temperature after it dropped 9F
Answer:
________
-11
________
Estimate the number of softballs that would fill a 10 by 12 by 24 foot room? Diameter of softball is 3.5 inches. Use the formula of a sphere V = 4/3 (3.14)r^3 for the softball
Answer:
The number of softballs that would fill the room is 221796 softballs
Step-by-step explanation:
First we will determine the Volume of the room.
The volume of a room is given by
[tex]Volume = lwh[/tex]
From the question, the given dimension of the room is 10 by 12 by 24 foot
Hence the volume of the room = 10 × 12 × 24
= 2880 cubic feet (ft³)
Convert to cubic inches
To do this, multiply the answer in cubic feet by (12 × 12 × 12)
(NOTE: 1 foot = 12 inches)
Hence, 2880 cubic feet = 2880 × 12 × 12 × 12 cubic inches
= 4976640 cubic inches
This is the volume of the room.
To estimate the number of softballs that would fill the room, we will determine the number of softballs which would give a total volume that is equal to the volume of the room.
First, we will find the volume of one softball
Diameter of softball = 3.5 inches
∴ Radius of softball, r = 3.5/2 inches = 1.75 inches
∴ r = 1.75 inches
Now, for the volume of one softball
From,
V = 4/3 (3.14)r^3
[tex]V = \frac{4}{3}(3.14)r^{3}[/tex]
[tex]V = \frac{4}{3}(3.14)[/tex] × [tex]1.75^{3}[/tex]
[tex]V = 22.43791667[/tex] cubic inches
This is the volume of one softball
The number of softballs that would fill the room will be
= Volume of the room / Volume of one softball
= 4976640 cubic inches / 22.43791667 cubic inches
=221795.9926
≅221796
Hence, the number of softballs that would fill the room is 221796 softballs
Which phrase matches the algebraic expression below? (1 point)
2(x + 7) + 10
a
Two times the sum of x and seven plus ten
b
Two times the difference of x and seven plus ten
с
Two times x minus seven plus ten
D
Two times x plus the sum of seven and ten
Answer:
2(x+7)+10
Step-by-step explanation:
The phrase that would best match the expression would be answer A.
is the sequence "109,104,99,94", finite?
Answer:
NO.
Step-by-step explanation:
The common difference is -4 and you can continue to add -4 for ever!!