For f(x) = 5x – 3 and g(x) = 2x2 - 5, find the following functions.
a. (fog)(x); b. (gof)(x); c. (fog)(2); d. (gof)(2)
Answer:
See answer below
Step-by-step explanation:
Given the functions f(x) = 5x – 3 and g(x) = 2x2 - 5, find the following functions.
a)(fog)(x) = f(g(x))
f(g(x)) = f(2x^2-5)
f(g(x)) = 5(2x^2-5) - 3
f(g(x)) = 10x²-25-3
f(g(x)) = 10x² - 28
b) g(f(x)) = g(5x-3)
g(f(x)) = 2(5x-3)²-5
g(f(x)) = 2(25x²-30x+9)-5
g(f(x)) = 50x²-60x+18-5
g(f(x)) = 50x²-60x+13
c)(fog)(2) = f(g(2))
f(g(x)) = f(2x^2-5)
f(g(2)) = 10(2)² - 28
f(g(2)) = 10(4)-28
f(g(2)) = 12
d) g(f(x)) = g(5x-3)
g(f(x)) = 2(5x-3)²-5
g(f(x)) = 50x²-60x+13
g(f(2)) = 50(2)²-60(2)+13
g(f(2)) = 200-120+12
g(f(2)) =80+12
g(f(2)) = 92
please help me in this Q
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Answer:
(a) (2x +36)° +(3x +14)° = 90°
(b) ∠C = 38°; ∠D = 52°; ∠E = 90°
Step-by-step explanation:
(a) Two acute angles are marked in a right triangle. We know the sum of angles in a triangle is 180°, so if one of those angles is 90°, the sum of the other two angles must be 90°. We can use that fact to write and equation for x.
(2x +36)° +(3x +14)° = 90°
__
(b) We can collect terms, subtract 50 and ...
5x +50 = 90 . . . . . . . collect terms, divide by °
5x = 40 . . . . . . . . . . subtract 50
x = 8 . . . . . . . . . .. divide by 5
∠C = (3x +14)° = (3·8 +14)° = 38°
∠D = (2x +36)° = (2·8 +36)° = 52°
∠E = 90°
_____
Angle E is marked as a right angle by the little square in that corner. The measure of a right angle is 90°, by definition.
The given lines are rotated 90°. Which choice describes the lines resulting from the transformation?
A)
intersecting
B)
parallel
C)
perpendicular
D)
skew
Answer:
there still parallel even if they rotated
Use the ALEKS calculator to find 35% of 65. Do not round your answer.
Answer:
35 % of 65 is 22.75 %
Step-by-step explanation:
35/100 = 0.35
0.35 x 65 = 22.75
therefore 35% of 65 is 22.75%
In 2006, the population of a country was 45.4 million people. From 2006 to 2050 the country's population is expected to decrease by 6.5% Find the expected population of the country in 2050 Round to the nearest tenth of a million.
A= B= b= what’s the answer i been trying to solve all day
Answer:
Step-by-step explanation:
We are given the triangle ABC and told to find ∠A, ∠B, and side b. Also we are told that side c= 54 . side a=64 and ∠C = 32°
we need law of sines a / sin A = b / sin B = c / sin C
let's use law of sines to find the other angles
64 / sin A = 54 / sin(32)
I'm just going to swap the fractions on both sides , just to make it easier
sin A / 64 = sin(32) / 54
∠A = arcSin(64 * sin(32) / 54)
∠A = 38.9066°
∠B + ∠A + ∠C = 180
∠B = 180 - 32 - 38.9066
∠B = 109.0934°
let's find side b now
sin B / b = sin(32) / 54
sin(109.0934°) / b = sin(32) / 54
54 * sin(109.0934°) / sin(32) = b
96.2963 = b
Help will award branliest
PLEASE HELP SMART PEOPLE :C
Answer:
C 290 in^2
Step-by-step explanation:
The picture shows two sections of Mrs. Jones's art supply drawer.
Paints
Brush’s
What is the total area of both sections of the drawer? Enter the answer in the box.
(a) Describe the FOUR (4) methods of allocating joint costs to products. (12 marks)
(b) Weng Tai company simultaneously produces three products (X, Y and Z) from a single process. X and Y are processed further before they can be sold; Z is a by-product that is sold at split off point for RM2 per unit without incurring any further process costs. Joint costs are apportioned using the final sales value method. The sales prices of X and Y after further processing are RM40 per unit and RM35 per unit respectively. Data for April are as follows:
Joint production costs that produced 5,000 units of X, 5,500 units of Y and 3,500 units of Z 150,000
Further processing costs for 5,000 units of X 30,000
Further processing costs for 5,500 units of Y 40,000
Required:
Calculate the total costs and profit for the production of X and Y. (14 marks)
(c) Discuss THREE (3) arguments in support of variable costing and absorption costing. (12 marks)
(d) Zency Sdn Bhd produces pens. Data concerning the company’s operations last year appear as follows:
Units in beginning inventory 5,000
Units produced 50,000
Units sold 46,000
Selling price per unit RM2.50
Variable costs per unit:
Direct materials RM0.80
Direct labor RM0.50
Variable manufacturing overhead RM0.10
Variable selling and administrative overhead RM0.05
Fixed costs in total:
Fixed manufacturing overhead RM20,000
Fixed selling and administrative overhead RM10,000
Required:
Prepare an income statement for the year using absorption costing. (12 marks)
Answer:
Step-by-step explanation:
C
you need 4/5 of a cup of strawberries for a single pie, how ,many cups are need for 9 pies?
Answer:
7 2/5 cups
Step-by-step explanation:
4 x 9 = 36
36/5 = 7.2
Florida Fish and Wildlife is having problems with the growing population of Pythons in the Everglades. The graph below shows the annual growth of the python population from beginning 2000 to 2010. What is the domain of the graph that is shown?
Answer:
x≥0
Step-by-step explanation:
the domain is anything above 0
The domain of the graph is [0, 10] or 0 ≤ x ≤ 10 when the annual growth of the python population from the beginning of 2000 to 2010.
What is a function?It is defined as a special type of relationship and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
We have:
Florida Fish and Wildlife is having problems with the growing population of Pythons in the Everglades.
As we can see in the graph the annual growth of the python population from the beginning of 2000 to 2010 is continuously increasing between 0 to 10,
Mathematically,
x ∈ [0, 10] or
0 ≤ x ≤ 10
Thus, the domain of the graph is [0, 10] or 0 ≤ x ≤ 10 when the annual growth of the python population from the beginning of 2000 to 2010.
Learn more about the function here:
brainly.com/question/5245372
Pls help extra points
Answer:
the mean is 7
Step-by-step explanation:
used a mean calculator
Find the measure of 7
Answer:
126 degree
Step-by-step explanation:
use alternate angles and linear pair
Cellular phone service is available for $37 per month for 1847 minutes. What is the monthly cost per minute? Round your answer to the nearest tenth of a cent.
The cost for the phone service is cents per minute.
Can someone please help me
Answer:
the mid point is 6,3
Step-by-step explanation:
the mid point is 6,3
a baseball coach collected data to analyze the free throw shooting percentages of players during a game and during practice. The equation y=0.9x-1 is a line of best fit for the data, where x is the practice shooting percentage and y is the game shooting percentage. Based on the equation, what will be the approximate shooting percentage in a game for a player with a practice shooting percentage of 88?
Step-by-step explanation:
so fill in 88 where the x is so
y = 0.9 (88) - 1
y = 78.2
PLEASE HELP ASAP!!!!!!!!!!!!!
Answer:
3 + 8 times 3 +27 times 3 + 64 times 3+ 125 times 3 + 216 times 3+ 343 times 3
2352 cubic units^3
Step-by-step explanation:
guys please help I need the answer right now
-6+7x=29 solve for x
Answer:
x=5
Step-by-step explanation:
add 6 to both sides
7x=35
divide by 7
x=5
Answer:
X=5
Step-by-step explanation:
-6+7= 1
7x5=35
-6+ 7(5)=29
A cup of coffee cost $2.50. If the total cost is $22.50, then how many cups of coffee were purchased?
a. Write an equation
b. What is the constant of proportionality?
An equation is formed of two equal expressions. The constant of proportionality between the number of cups of coffee and the total bill amount is 2.50.
What is an equation?An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
Given that a cup of coffee cost $2.50. Now, if the total cost of coffees is $22.50, then the number of cups of coffee that was purchased is,
Number of cups of coffee = Total bill amount / Cost of a coffee
Number of cups of coffee = $22.50 / $2..50
Number of cups of coffee = 9
A.) An equation for the total bill amount, y and total number of cups of coffee, x can be written as,
Total bill amount = Cost of a coffee × Number of cups of coffee
y = 2.50 × x
y = 2.50x
B.) The constant of proportionality between the number of cups of coffee and the total bill amount is 2.50.
Learn more about Equation here:
https://brainly.com/question/14686792
#SPJ2
What is the perimeter of a square with an area of 256 cm^2
Answer:
16cm
Step-by-step explanation:
The area of a square is calculated by perimeter * perimeter. 256 is made of 16*16
Answer:
you know that the Area of a square is calculated as S^2 or SxS
to find the side length just do square root of 256
wich is 16 cm
multiply by 4 and the perimeter is 16*4= 64
Please help, I’m not sure if I’m doing this right (math). 9 says 9x-47 btw.
Answer:
<1 = 43
<2= 17
<3= 120
<4=60
<5= 60
<6= 60
<7 =17
<8= 120
<9= 43
Step-by-step explanation:
< 4, <5, <6 are all 60
<3 and <4 are a linear pair, so they add to 180. Since <4 is 60, <3 is 180-60= 120
<6 and <8 are a linear pair, so they add to 180. Since <6 is 60, <8 is 180-60= 120
Angles 1 and 9 are congruent
4x+3=9x-47
50=5x
10=x
<1= 4(10)+4= 43
<9-9(10)-47=43
Now you have 2 angles for the triangle A B D- subtract the 2 known from 180
<2= 180-43-120=17
<7= 180-43-120=17
The width of a rectangle is 4 feet and the diagonal length of the rectangle is 13 feet. Which measurement is closer to the length of this rectangle in feet?
A. 12.4 ft
B 13. 6ft
C 9ft
D 17 ft
I’m not sure which answer this is
Calcula el área y perímetro de un rectángulo que tiene como base (x+y) y altura (x-1).
Answer:
A = x^2 - x + xy - y
P = 4x + 2y - 2
Step-by-step explanation:
[tex]a = (x + y)(x - 1) \\ a = {x}^{2} - x + xy - y \\ \\ p = 2((x + y) + (x - 1)) \\ p = 2(2x + y + - 1) \\ p = 4x + 2y - 2[/tex]
I hope that is useful for you :)
LXtra Practice
Set A (pp. 22-23)
Write each number in standard form.
1.
2.
3. 500 + 60 + 6
BB
Answer:
566
Step-by-step explanation:
We need to write the following number in standard form.
500 + 60 + 6
Here, the first no is 500, the second number is 60 and the other number is 6.
It can be done as follows :
500 + 60 = 560
And
560 + 6 = 566
So, the standard form is 566 inc which 6 is at one's place, another 6 at tens place and 5 at hundred places.
y = 3x - 1 Let x = 6. The ordered pair is (6,_).
Answer:
Step-by-step explanation:
y = 2x - 1
x = 6
y = 3*6 - 1
y = 18 - 1
y = 17
(6,17)
Question 5 (1 point)
Solve the inequality for x.
- 3x + 6 < 15
Ox>-3
Ox<-3
0x<-7
Ox>-7
Answer:
x > -3
Step-by-step explanation:
-3x + 6 < 15
-3x < 15 - 6
-3x < 9
-x < 3
x > -3
A. x > -3
Step-by-step explanation:
Step 1: Subtract 6 from both sides.
−3x + 6 − 6 < 15 − 6
−3x < 9
Step 2: Divide both sides by -3.
−3x/−3 < 9/−3
x > −3
Plz help! Urgent!
Use the information in the table and choose all true statements.
Answer:
Pretty sure it's the first 3 options.
Step-by-step explanation:
Hi first of all, im totally new at this, but this seemed like a simple q. If anyone sees this and finds it wrong, pls pls let me know!
China and USA have highest/lowest density. You can tell by looking at the chart.
Indias density is about 360 people/km^2
Divide India's population by the Area
= 360.22
And the last option, according to me, is wrong.
Hope it helps !! And if it doesnt, again, pls let me know :)
The depth of the snow in my yard is normally distributed, with a mean of 2.5 inches and a standard deviation of 0.25 inches what value is one standard deviation above the mean