Answer:
(fog)(x) = 5x+45(gof)(x) = 5x+9(fog)(3) = f(g(3)) = f(12) = 60Step-by-step explanation:
Given
f(x) = 5xg(x) = x + 9Finding (fog)(x)
(fog)(x) = f(g(x))
(fog)(x) = f(x+9)
(fog)(x) = 5(x+9) ∵ substitute x as x+9 in the f(x)
(fog)(x) = 5x+45
Finding (gof)(x)
(gof)(x) = g(f(x))
(gof)(x) = g(5x)
(gof)(x) = 5x+9 ∵ substitute x as 5x in the g(x)
Finding (fog)(3)
(fog)(3) = f(g(3))
substitute x = 3 in the g(x)=x+9
g(x) = x+9
g(3) = 3+9
g(3) = 12
so
(fog)(3) = f(g(3)) = f(12)
now substitute x = 12 in f(x) = 5x
f(x) = 5x
f(12) = 5(12)
f(12) = 60
Thus,
(fog)(3) = f(g(3)) = f(12) = 60
Find each amount:
3.8% of 2
Answer:
0.076
Step-by-step explanation:
The answer is 0.076 because 3.8% of 2 is 0.076
Answer:
0.076
Step-by-step explanation:
convert 3.8% to a decimal. (0.038)
2 x 0.038 = 0.076
0.076 ÷ 2 = 0.038
The sale price of every item in a store is 85% of its usual price. The usual price of a backpack is $30, what is its sale price? The usual price of a sweatshirt is $18, what is its sale price? The usual price of a soccer ball is $24.80, what is its sale price?
Answer:
Backpack: $5.50
Sweatshirt: $3.70
Soccer Ball: $3.72
Step-by-step explanation:
To find sale prices, you multiply the original price by the sale percentage. Once you have that answer, you subtract it from the original price.
For this problem, you have to multiply every number by .85 which is the decimal for of 85%.
.85*30=25.50
30-25.50=$5.50
.85*18=15.30
18-15.30=$3.70
.85*24.80=21.08
24.80-21.08=$3.72
Answer: The sale price of the backpack is $4.50. The sale price to a sweatshirt is $2.70 The sale price to the soccer ball is $3.72
Step-by-step explanation:
Discount = Original Price x Discount %/100
Discount = 18 × 85/100
Discount = 18 x 0.85
You save = $15.30
Final Price = Original Price - Discount
Final Price = 18 - 15.3
Final Price = $2.70
Discount = Original Price x Discount %/100
Discount = 30 × 85/100
Discount = 30 x 0.85
You save = $25.50
Final Price = Original Price - Discount
Final Price = 30 - 25.5
Final Price = $4.50
Discount = Original Price x Discount %/100
Discount = 24.8 × 85/100
Discount = 24.8 x 0.85
You save = $21.08
Final Price = Original Price - Discount
Final Price = 24.8 - 21.08
Final Price = $3.72
im going to a party after this youre not invited but i still like you :)
Answer:
xd
xdxddxdxdx
dx
Step-by-step explanation:
drag components to describe a sequence of transformations that will show triangle abc is equal to triangle def
Answer:
Step-by-step explanation:
From the figure attached,
ΔDEF is the image triangle formed by the sequence of transformations of ΔABC.
Step -1
ΔABC is reflected across line BC to get the inverted form of ΔA'B'C' (As shown in the image attached)
Step -2
Further ΔA'B'C' is translated by 4 units to the right to get the image ΔA"B"C".
Step - 3
Further ΔA"B"C" is translated 1 unit down to get the image ΔDEF.
Calculate the measure of ∠ PMU and ∠ UPM.
m∠ PMU =
m∠ UPM =
Answer:
you want to find angle PMB to find PMU
180-21-35= 124
so now, you subtract 180-124 to find PMU
180-124= 56
Now, subtract 56 and 62 from 180 to find angle UPM
180-56-62= 62
m< PMU = 56
m<UPM = 62
Step-by-step explanation:
So we know that a triangle adds up to 180 degrees. Take 62+35 and subtract it from 180 to find angle P.
62+35=97
180-97=83
Knowing this you can find the two angles of P. You can subtract this number from 21 to find the unknown angle of P.
83-21=62(angle UPM)
Then do the same steps for finding the M angles
(Left Triangle)
62+62=124
180-124=56
(Right Triangle)
21+35=56
180-56=124
And because M intersects a straight line, the M angles should add up to 180.
56+124=180
Hope This Helps :)
what is the f(5) for the function f(x)=3x+6
Answer:
21
Step-by-step explanation:
[tex]f(x)=3x+6 \\ \\ plug \: x = 5 \\ \\ f(5)=3(5)+6 \\ \\ f(5)=15+6 \\ \\ f(5)=21[/tex]
Find the 82nd term of the arithmetic sequence -8,9,26...
Answer:
1,368
Step-by-step explanation:
Answer:
1369
Step-by-step explanation:
Solve -103 = 6 x + 17
(WORTH 20 POINTS) Please help I don't know how to do this
In your own words, what do the terms sales tax and discount mean? Is a 5 percent sales tax a percent of increase or decrease? What about a 15 percent discount?
lol help-
Answer:
Sales tax is an increase in the price of the item while a discount is the decrease of the price. A 5% sales tax is an increase since your paying an extra 5% of the item price. 15% discount is a decrease since your now only paying 85% of the original price. Hope that helps
Answer: In layman's terms, that means if the original price of something you sell was $100, but you offer a 50% discount, then the taxable price is $50. Sale Price = original price – (% of discount * original price)
Sales Tax = Sales Tax rate * Sale Price.
Sales Tax = 0.05 * $17.21 = $0.8605 = $0.86. How do I add 5% to a number?
Divide the number you wish to add 5% to by 100.
Multiply this new number by 5.
Add the product of the multiplication to your original number.
Enjoy working at 105%!
Can someone help me pls
Answer:
1) rational
2) Irrational
3)rational
4) irrational
5) rational
Step-by-step explanation:
If it has a whole number answer and doesn't have never ending number its rational
Find the sixth term in the following arithmetic sequence.
1/4 , 1/8 ,0...
Answer: 3/8
1/4 + 1/8 divided by 2
A cook is making large fruit salads. He has 51 bananas, 41 pears, 25 peaches, and 56 apples. He needs 4 bananas, 3 pears, 2 peaches, and 5 apples for each salad. How many complete fruit salads can the cook make?
Answer:
I believe the answer would be 11 fruit salads in total.
Step-by-step explanation:
The cook has enough bananas for 12
Enough peaches for 12
Enough pears for 13
And enough apples for 11
The perimeter of a rectangle is 50ft. If the length is one more than twice the width,
what is the length, width and area?
Answer: See explanation
Step-by-step explanation:
Let the width of the rectangle be x
Since the length is one more than twice the width. Therefore, the length will be: = 2x + 1
Perimeter of a rectangle = 2(length + breadth)
50 = 2(2x + 1 + x)
50 = 2(3x + 1)
50 = 6x + 2
6x = 50 - 2
6x = 48
x = 48/6
x= 8
Width = 8ft
Length = 2x + 1 = 2(8) + 1 = 16 + 1 = 17ft
Area = Length × Width = 17 × 8 = 136ft^2
3+1
X +5
1
1
2-1
What values of x satisfy the above equation?
find the length of the side of a square with a perimeter of 128 meters
Answer:
32 Meters
Step-by-step explanation:
A square has 4 equal sides so all you have to do is divide 128 by 4
........................divide
1. Use your notes from the Work Backwards to prove activity to fill in the proof below that if the diagonals of a parallelogram are congruent, that
parallelogram must be a rectangle
Given: ABCD is a parallelogram with AB parallel to CD and AD parallel to BC Diagonal AC is congruent to diagonal BD
Prove: ABCD is a rectangle (angles A, B, C and D are right angles),
12
I know 1 is congruent to 2 because it's the same segment. I know _3 is congruent to _14 because it's given. I know
5 is congruent to_6 because _7 is a parallelogram (given) and opposite sides of a parallelogram are congruent
Because_8 is congruent to 9 10 is congruent to _11 and
is congruent to 13 _, by the Side-Side
Side Triangle Congruence Theorem triangles_14
and 15
are congruent. Angle_16_ is congruent to angle
_17_because they are corresponding parts of two congruent triangles Angles 18
and
19 are right angles
because they're congruent and supplementary (because they are adjacent angles in a parallelogram). Congruent supplementary angles
must be right angles. Opposite angles in a parallelogram are congruent, so if angles_20 and 21 are right angles, then
angles 22 and 23
must be, too. I know 24 is a rectangle because angles_25
26
27
and
28 are all right angles, and a quadrilateral with four right angle is a rectangle.
Answer:
23
Step-by-step explanation:
(8+r)4
It's simple but I wanna check if my messy self is actually right lol
Answer:
the answer to this will be 32+4r if you simplify
PLEASE HELP ASAP!??!?!? THERE IS 4 PAGES
Answer:
I am sorry but is the last time I can help you!
I wish you all the best!
I only have 25 points so good luck fighting
Answer:
m,jnngjhgchjfc
Step-by-step explanation:
shank youuuuuuuuuuu
Answer:
thank you so much for the points
Find the equation of the line parallel to -2x +y = 3, that passes through the point
(-3,-1). Write your answer in slope-intercept form. Do not use spaces in your
answer. Enter any fractions like a/b or -a/b.
Answer:
y=-2x-9
Step-by-step explanation:
First, convert -2x+y=3 to an expression in slope-intercept form. This will be written as y=-2x+3.
Parallel lines have the same slope.
So, the slope of the new line will also be -2x.
Now, use the given coordinates and put them and the slope into point-slope form.
Point slope: y-y1=m(x-x1)
y+3=-2(x+3)
Finally, distribute -2 to (x+3) and simplify the equation.
y+3=-2x-6
y=-2x-9
Last month, Amelia and Natalie sold candy to raise money for their debate team. Natalie sold 1/5 as much candy as Amelia did. If Amelia sold 1/2 of a box of candy, how many boxes of candy did Natalie sell? Write your answer as a fraction or as a whole or mixed number.
I’ll mark you brainlist
Answer:
C=5
Step-by-step explanation:
23+(-3)=20
20=4c
4*5=20
Answer:
c=5
Step-by-step explanation:
f 9 liters of water is shared equally between 4 people, how many liters of water does each person get
Answer: Each person gets 2.25 liters.
Step-by-step explanation:
Given: Total quantity of water = 9 liters
Number of persons = 4
Quantity of water each person get = [tex]\dfrac{\text{Total quantity of water }}{\text{Number of persons }}[/tex]
[tex]=\dfrac{9}{4}\text{ liters}\\\\=2.25\text{ liters}[/tex]
Hence, each person gets 2.25 liters.
A store pays $81 for a hockey stick and marks the price up by 5%. What is the amount of the mark-up?
HEY CAN ANYONE PLS ANSWER DIS MATH PROBLEM!!!!
Jason has a piece of wire that is 63.9 inches long. He cuts the wire into 3 equal places. Estimate the length of one piece of wire. Round down your answer to the nearest integer.
Answer: 21.3
Step-by-step explanation:
63.9 divided by 3 equal pieces is 21.3!
The formula for the volume of a cube is V = s³, where s represents the side length of the cube. If a cube has a side length of 4 ½ centimeters, what is the volume of the cube? Write your answer as a fraction and a decimal
Answer:
91.125 or 729/8
Step-by-step explanation:
take 4.5^3 to get 91.125
Answer:
7
Step-by-step explanation:
I WILL GIVE YOU BRAINLIEST PLEASE HELP!!!! which statement best describes the functions represented in the table?
Answer:
C. Both functions are nonlinear but only function p is exponential.
WILL MAKE BRAINLEST PLS HELP
1. x + 2x - 1 = 38
Inverse operation
Answer:
x=13
Step-by-step explanation:
First, you add the x's together: 2x+x=3x
Now you have:3x-1=38
Add 1 to both sides: 3x=39
1 cancel on the left side of the equation
Divide 3 on both sides: x=39/3
3 cancels on the left side and 39 divided by 3 is 13:
x=13
Hope this helps!