For the functions h(x) = -2x + 4 and g(x) =4-x/2, find:
a. h(g(6))
b. g(h(-4))
c. Does it appear that h and g are inverses of each other? Explain.
David runs 10 miles in 75 min. At the same rate how many miles would be run in 69 min?
What is 90 percent of 35
Answer:
31.50
Step-by-step explanation:
All you have to do is multiply 35 by 90% or .90
35 x .90 = 31.5
POSSIBLE POINTS
There are 160 employees who work for a company. The histogram summarizes the amount of
time each employee has been in his or her current position at the company.
Time at Current Position
45
40
35
30
Number of Employees
25
20
15
10
5
0
0-5
6-11
24-29 30-35
12-17 18-23
Time (months)
The true statement about the histogram is (a) 5 employees have been in their current position for 30 to 35 months
How to interpret the histogram?From the histogram (see attachment), we have the following highlights:
The x-axis represents the number of monthsThe y-axis represents the time spent by the employeesUsing the above highlights, we can see that:
When x = 30 - 35, the value of y is
Hence, the true statement about the histogram is (a) 5 employees have been in their current position for 30 to 35 months
Read more about histograms at:
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WHICH ONE IS CORRECT?
Two cubes have edge lengths of 9 cm and 3 cm, respectively. What is the difference in volume of the two cubes?
1. 243 cm3
2. 756 cm3
3. 27 cm3
4. 702 cm3
The difference in volume of the two cubes is 702 cm3
Step-by-step explanation :
Given-
Length of edge of one cube = 9 cmLength of edge of second cube = 3 cmNow, The formula for finding volume of any cube is -
[tex] \underline{ \boxed{ \mathfrak \red{volume \: of \: cube = {edge}^{3} }}}[/tex]Therefore, substituting values. . .
Volume of one cube = [tex] {(9)}^{3} [/tex]
[tex] \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:\: \: \: \: \: \: \: \: \: \: \:\: \: \: \: \: \: \: \: \: \: \: \: = 9 \times 9 \times 9[/tex]
[tex] \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:\: \: \: \: \: \: \: \: \:\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 729 \: {cm}^{3} [/tex]
Similarly,
Volume of second cube [tex] = {(3)}^{3} [/tex]
[tex] \: \: \: \: \: \: \:\: \: \: \:\: \: \: \: \: \: \: \: \: \:\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:\: \:\: \: \: \: \: \: = 3 \times 3 \times 3[/tex]
[tex] \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:\: \: \: \: \: \: \: \: \: \: \: \:\: \: \: \:\: \: = 27 \: {cm}^{3} [/tex]
Now,
Difference in volume of two cubes = Volume of 1st cube - Volume of 2nd cube
[tex] \: \: \: \: \: \: \: \: \: \:\: \: \: \: \: \: \: \: \: \: \:\: \: \: \: \: \: \: \: \: \: \: \:= (729 - 27) {cm}^{3} [/tex]
[tex] \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 702 \: {cm}^{3} [/tex]
Thus, the difference in volume of the two cubes comes out 702 cm3
The bill is $250.79 You want to leave a 20% tip. How much should the tip be
Answer:
50 dollars
Step-by-step explanation:
Answer:
Ive got you! The answer is $50.15
Step-by-step explanation:
I used m##hway and put 20% of 250.79 so this is the answer!
20 POINTS AND WILL GIVE BRAINLIEST
Use the function f(x) = 2x2 − 5x + 3 to answer the questions.
Part A: Completely factor f(x). (2 points)
Part B: What are the x-intercepts of the graph of f(x)? Show your work. (2 points)
Part C: Describe the end behavior of the graph of f(x). Explain. (2 points)
Part D: What are the steps you would use to graph f(x)? Justify that you can use the answers obtained in Part B and Part C to draw the graph. (4 points)
Answer:
x=5/7Step-by-step explanation:
=2×2-5x+3 =4-5x+3 5x=4+3 5x=7 divide 5 both side with make value of x x=5/7 is my answer of part A.8 x 3/10 in simplest form
Answer:
Step-by-step explanation:
Identify the domain of the following rational expression:
7x/3x+15
O All real numbers except 5.
O All real numbers except 15.
O All real numbers except - 15.
O All real numbers except - 5.
Answer: D
Step-by-step explanation:
The domain of a function is the allowed 'x' values that the function can take on and produce a defined 'y' value. We can ignore the numerator since it will never be undefined. The denominator on the other hand has a singularity when it equals zero. The reason for this is because we cannot divide by zero. Therefore, lets set the denominator to zero and find which 'x' value makes the function undefined:
[tex]3x+15=0[/tex]
[tex]3x=-15[/tex]
[tex]x=-5[/tex]
Every single real 'x' value will work besides when x = -5. Therefore the answer is D
PLEASE HELP ME!
I don’t know what to put on “METHOD” and “EXPLANATION.”
Please help me! :-(
If I can, I will try to give BRAINLIEST!!
Answer:
Substitution
Substitution
Elimination
Elimination
Substitution
Elimination
Explanations are given below
Step-by-step explanation:
Hello!
1) SubstitutionThis is because you already have a solution for a variable, y, and you can simply plug in the value of y for the second equation
2) SubstitutionThe same thing as above, you already have the value of y, and you can simply plug it into the second equation.
3) EliminationYou should use elimination because you can simply eliminate the variable y by adding the two equations, as they have the same coefficient of 3.
4) EliminationSame as above, simply add the two equations to eliminate x, because they have the same coefficients of 7.
5) SubstitutionYou have the value for y, so simply plug it into the other equation to solve for x.
6) EliminationYou have -2x in both equations, and subtracting the equations will eliminate the variable x, and you can then solve for y.
Tory and Emilio's motorboats travel at the same speed. Tory pilots her boat 30 km before docking. Emilio continues for another 2 hr, traveling a total of 80 km before docking. How long did it take Tory to navigate the 30 km?
Answer:
1.2 hours
Step-by-step explanation:
first im going to assume both travel at a constant speed the entire time
both motorboats travel 30 km, so emilio travels another 50 (80-30 = 50) km in 2 hours. speed = distance/time so the speed of the motorboats is 50/2 or 25km/h
divide 30 by 25 to get 1.2hours
What are the zeros of this function?
5
O A. x = 0 and x = 2
O B. x = 0 and x = -4
O c. x= 0 and x = 4
O D. x = 2 and x = -4
THANK YOU
Answer:
the answer is x=0 and x=4
Find the next term of the following sequence.
9, 6, 4, …
Answer:
3
Step-by-step explanation:
9 - 3 = 6,
6 - 2 = 4,
4 - 1 = 3
∠A and \angle B∠B are supplementary angles. If m\angle A=(6x+10)^{\circ}∠A=(6x+10)
∘
and m\angle B=(4x+30)^{\circ}∠B=(4x+30)
∘
, then find the measure of \angle B∠B.
If u give answer ill give 100 points NOT FAKE PLS I NEED HELP
Answer:
86 Degrees
Step-by-step explanation:
First we need to apply the defenition of a Supplementary Angle: A supplrementary angle means an angle whos measure is 180degrees.
As we are given two angles labled supplementary we must know that angleA + angleB = 180degrees.
Now we are given two equations for the measure of each angle.
measure of A = 6x+10
measure of B = 4x+30
We simply plug this into the first equation I've stated above.
6x+10 + 4x+30 = 180
Simplify
10x+40 = 180
10x = 140
x = 14
Now that we have X, we plug this into the measure B equation to get the measure.
4x + 30
(Plug 14)
4(14) + 30
56 + 30
86 Degrees
how much money does one person get for working 3 hours and 45 minutes at $6 per hour
$22.50
45/60 = 0.75 in hours
3.75 hours in total
3.75x6=22.5
Hope this helps!
If Carrey pays for an item that costs $3 with a five-dollar bill, what bills will she receive in change?
Answer: Two $1 Bills
Hope this helps :) If so brainliest would mean alot thanks!
Step-by-step explanation: $5 - $3= $2
Please help asap! 20 points for helping and show all work
NEED HELP WITH THIS QUESTION!!!
Answer:
15x - 30 is the ansanswer
PLEASE HELP
You have$1400, how long would it take to DOUBLE your money in an account that paid 6% interest per year? Round to the nearest year.
Answer:
12 years roughly ends in $2,817.08
Step-by-step explanation:
What is the quotient? X-3 divided by 4x squared + 3x + 2
Answer:
4x+15
Step-by-step explanation:
divisor- x-3
dividend-4x^2+3x+2
to find the quotient,
dividend=(disivor X quotient)+ Reminder
4x^2+3x+2=(x-3 x 4x) + (15x+2)
4x^2 +3x+2= (x-3 x 4x + 15) + (47)
so the quotient would be 4x+15
Write 640 : 60 in the lowest form
Answer:
32 : 3
Step-by-step explanation:
Answer- 32 : 3
Divide Both Sides By 20
Pls help me answer this question
And pls write down the steps if needed
Or just explain why
Answer:
c
Step-by-step explanation:
its c because the distances from both the bank and the school are equal distance.
Write the equation in slope-intercept form, and detemine the slope and y-intercept. Write the y- intercept as an ordered pair.
4x+5y=20
The slope is _________ .
The y-intercept is __________ .
The equation written in slope-intercept form is _______ .
Answer:
slope is 4 or 4/1
y-int is 5
Help help help math math
Answer: b. x>5
Step-by-step explanation:
What is the equation of the line that is parallel to the
given line and passes through the point (-3, 2)?
L Co, P)
O 3x - 4y = -17
0 3x - 4y = -20
O 4x + 3y = -2
O 4x + 3y = -6
Answer:
4x+3y=(-6)
Last option
A retailer’s gross margin on a $150 item is $40. Calculate GMC as a percentage.
The gross margin cost for the case when the considered retailer’s gross margin on a $150 item is $40 is 26.67% approximately.
We want to know how much percent of 'b' is 'a'.
Then, it is calculated as:
[tex]\dfrac{a}{b} \times 100[/tex]
(in percentage)
Given that:
The cost of the considered item = $150The gross margin of retailer on that item = $40Here we assume that the term GMC is referring to gross margin cost.
Let this gross margin cost (GMC) $40 be P% of the original cost of the item $150.
Then, we get:
[tex]p = \dfrac{40}{150} \times 100 \approx 26.67 \text{(in percentage)}[/tex]
Thus, the gross margin cost for the case when the considered retailer’s gross margin on a $150 item is $40 is 26.67% approximately.
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MARKING BRAINLIEST What is the domain of y=0
Answer:
The answer is all real numbers :)
Step-by-step explanation:
he domain of the expression is all real numbers except where the expression is undefined. In this case, there is no real number that makes the expression undefined. y=0 is a straight line perpendicular to the y-axis at point (0,0) , which means that the range is a set of one value. :)
Have an amazing day!!
Please rate and mark brainliest!!
12+ b/6 = 16 what is the variable?
Answer:
[tex]b = 24[/tex]
Step-by-step explanation:
Step 1: Subtract 12 from both sides
[tex]\frac{b}{6} + 12 - 12 = 16 - 12[/tex]
[tex]\frac{b}{6} = 4[/tex]
Step 2: Multiply both sides by 6
[tex]\frac{b}{6} * 6 = 4 * 6[/tex]
[tex]b = 24[/tex]
Answer: [tex]b = 24[/tex]
100 POINTS AND WILL GIVE BRAINLIEST IF IT INCLUDES STEPS
Create and solve a multi-step equation word problem that includes at least THREE STEPS (three or more mathematical operations), that will have a final answer of 12. THE EQUATION MUST INCLUDE A VARIABLE
Zeirah has 3 times more apples than Riya, in total they have 48 apples
consider Riya has x apples
Let the equation be:
3(x) + x = 4 * 124(x) = 48x = 48/4x = 12→ so Riya has 12 apples and Zeirah has [3(12)] = 36 apples
==============
contains the mathematical operations:
division ( / )multiplication ( * )addition ( + )Which choice is equivalent to the quotient below?
√36/√4
A. √2/2
B. 3
C. 9
D. √12
Answer:
D?
sorry if i am incorrect.