Answer:
n(x) = g(f(h(x)))
Step-by-step explanation:
Given
[tex]f(x) = x^3[/tex]
[tex]g(x) = x-7[/tex]
[tex]h(x) = x + 2[/tex]
Required
Which function represents [tex]n(x) = (x + 2)^3 - 7[/tex]
Start by solving for f(h(x)):
Given that:
[tex]f(x) = x^3[/tex] and [tex]h(x) = x + 2[/tex]
Substitute x + 2 for the x in f(x)
[tex]f(h(x)) = (x + 2)^3[/tex]
Next, solve for g(f(h(x)))
Given that:
[tex]g(x) = x-7[/tex] and [tex]f(h(x)) = (x + 2)^3[/tex]
Substitute (x + 2)^3 for the x in g(x)
[tex]g(f(h(x))) = (x + 2)^3 - 7[/tex]
Recall that:
[tex]n(x) = (x + 2)^3 - 7[/tex]
Hence:
[tex]n(x) = g(f(h(x))) = (x + 2)^3 - 7[/tex]
Nothing else to it, just find the value of the expressions.
Answer:
k-k-k-kabbajje!
Step-by-step explanation:
Determine the number and types of solutions for
6m^2-3m-4=0
Answer:
2 real solutions
Step-by-step explanation:
Remember this messy thing?
[tex]x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]
The quadratic formula, as it's called, gives us the roots to any quadratic equation in standard form (ax² + bx + c = 0). The information on the type of roots is contained entirely in that bit under the square root symbol (b² - 4ac), called the discriminant. If it's non-negative, we'll have real roots, if it's negative, we'll have complex roots.
For our equation, we have a discrimant of (-3)² - 4(6)(-4) = 9 + 96 = 105, which is non-negative, so we'll have real solutions, and since quadratics are degree 2, we'll have exactly 2 real solutions.
PLEASE HELP IM BEING TIMED GOT ONLY THIRTY MINUTES LEFT
Answer:
All are right except the 4th, 6th, 7th, and 8th
Step-by-step explanation:
I can explain in the comments, I don’t want you to run out of time :)
in 116th congress, the senate consists of 25 women and 75 men. if 3 different senators are randomly selected, what is the probability that they are all men
Answer
53
Step-by-step explanation:
75-15=50+3=53
PLS HELP
PLS HELP
PLE HELP
Answer:
H
Step-by-step explanation:
Will mark the brainliest
PLEASE HELP ILL OFFER MONEY I DONT CARE PLEASSEEEEE Mark has $75 to spend on salmon at $5.00 per pound and/or chicken at $3.00 per
pound. If he buys s pounds of salmon and c pounds of chicken, the equation 5s + 30
= 75 must be satisfied. How much salmon did Mark buy if he bought 5 pounds of
chicken?
a) 12 lb
Ob) 16 lb
C) 17 lb
d) 19 lb
Answer:
a) 12 lb
Step-by-step explanation:
First we find the lb for the chicken
5 * $3 = $15
Then we subtract it from the total amount of money Mark has
75$ - $15 = $60
Mark has 60$ remaining to spend on salmon
60 divided by 5 = 12
So he can buy 12 lb of salmon
Courtney used 25 out of her 30 tickets to select a prize at the arcade.
What is this fraction written as a decimal?
Answer:
.83333
Step-by-step explanation:
..............
A park started with 12 oak trees, and the number of oak trees increased at a rate of 25% each year. Write the function that models the situation, substituting numerical values for A and r into the expression.
f(x)=A(1+r)X
Answer:
[tex]f(x) = 12(1.25)^{x}[/tex]
Step-by-step explanation:
The number of oak trees after x years is given by a function in the following format:
[tex]f(x) = A(1+r)^{x}[/tex]
In which A is the initial number of oak trees, and r is the growth rate, as a decimal.
A park started with 12 oak trees
This means that [tex]A = 12[/tex]
The number of oak trees increased at a rate of 25% each year.
This means that [tex]r = 0.25[/tex]
So
[tex]f(x) = A(1+r)^{x}[/tex]
[tex]f(x) = 12(1+0.25)^{x}[/tex]
[tex]f(x) = 12(1.25)^{x}[/tex]
Totally forgot how to do this, please help.
Answer:
-2/21 is the answer hope it helps
There are 1,043 souvenir paperweights that need to be packed in boxes. Each box will hold 11 paperweights. How many boxes will be needed?
Answer:
95 will be needed because there are 9 extra paperweights
Step-by-step explanation:
can i get brainliest plz
Answer:
Step-by-step explanation:
99 i think
what expression is equal to 632
Answer:
2^3(3x5^2+2^2) = 632
Step-by-step explanation:
i big brain
Answer:
Step-by-step explanation:
Express 2x squared - 3x - 5 as the product of two binomial factors
Answer:
(2x - 5) (x + 1)
Step-by-step explanation:
2x2 - 3x - 5 = 0
(2x - 5) (x + 1) = 0
The equation y= 39 4x describes the number of miles y that an airplane travels in x minutes. What is the constant speed of the airplane in miles per minute? How many miles does the airplane travel in 4 hours?
PLAYGROUND Lukas is walking around the edge of the playground shown. How far will Lukas have walked when he finishes one loop
around the playground? Round to the nearest unit, if necessary.
Answer:
40 units
Step-by-step explanation:
This question is essentially asking the perimeter of the traingle
We can easily find the sides AC and BA and while you can use the distance formula to find the last side this is a right triange so we will take an easier approach
So because AC has the same y we can very easily figure out how far apart they are by subtracting (or counting) the x values
For me I got AC= 15
AB is kind of the same deal but instead subtract the y value
I got BA= 8
We can now use the a^2+b^2=c^2 formula to get the length of the last side
8^2+15^2=c^2
This means that 289=c^2
take the square root of both sides to get
c=17
The final step is to get the perimeter which is 17+8+15 or 40
Select all trips that would take 3 hours,
A. Jog 5 miles per hour and go 17 mikes
B. Bicycle 7 miles per hour
C. Take a plane going 500 miles per hour from San Diego to Seattle, which are 1500 miles apart
D. Take a train going 80 miles per hour from Seattle to Spokane, which are 280 miles apart
Answer:
A and D
Step-by-step explanation:
help please
solve for x
Answer:
x = 17
Step-by-step explanation:
4x-10 and 58 are alternate interior angles since the lines are parallel
Alternate interior angles are equal.
4x-10 = 58
Add 10 to each side
4x-10 +10 = 58+10
4x = 68
Divide each side by 4
4x/4 = 68/4
x = 17
Answer:
17
i did the math at home.
A car magazine is writing a story about four cars. For each car, the magazine will report the number of miles driven for
different amounts of gas. The table on your right shows the number of miles driven by Car A for different amounts of gas. Car
A uses gas at a constant rate.
How many miles are driven by Car A using 24 gallons of gas?
A: 576 m
B: 550 m
C: 496 m
D: 490 m
How to tell if y=1/7x is proportional
Answer:
It is proportional
Step-by-step explanation:
y=Kx
because it crosses the orgin
CRoC=Cop
A can of soup contains 1 1/4 cups. A serving is 1/2 of a cup. How many servings are in the
can?
1 3/4
3
21/2
2
Answer:
c 2 1/2
Step-by-step explanation:
Answer:
I think it is b. 3. Im not sure though.
Step-by-step explanation:
The following are the ages (years) of 5 people in a room: 24, 17, 18, 16, 20 A person enters the room. The mean age of the 6 people is now 25. What is the age of the person who entered the room?
Answer:
The man or woman that entered the room was 55 years of age.
Step-by-step explanation:
If we add up all the ages together, it is 95. When the other person walks in, the mean changes to 25. If you do the math, or if you count, the man or woman that enters is 55, which when added together, gives 150. divided by 6 equals 25.
drag the tiles to the correct boxes to complete the pairs.
the graph shows a quadratic function f(x).
Answer:
Nothing
Step-by-step explanation:
There is no real question or graph
An automobile manufacturer claims that its van has a 59.1 miles/gallon (MPG) rating. An independent testing firm has been contracted to test the MPG for this van since it is believed that the van has an incorrect manufacturer's MPG rating. After testing 160 vans, they found a mean MPG of 59.5. Assume the variance is known to be 2.89. A level of significance of 0.1 will be used. Find the value of the test statistic. Round your answer to 2 decimal places.
Answer:
Test statistic Z = 1.8099
Step-by-step explanation:
Step(i):-
Given that mean of the Population (μ) = 59.1 miles/gallon
Mean of the sample (x⁻ ) = 59.5
The standard deviation of the Population = 2.89
mean of the sample (n) = 160
Step(ii):-
Test statistic
[tex]Z = \frac{x^{-}-mean }{\frac{S.D}{\sqrt{n} } }[/tex]
[tex]Z = \frac{59.5-59.1 }{\frac{2.89}{\sqrt{160} } }[/tex]
Z = 1.8099
Test statistic = 1.8099
Rewrite in simplest terms: 3h - 2(-0.1h - 0.8)
please help
Answer:
3.2h+1.6
Step-by-step explanation:
3h-2(-0.1h-0.8)
3h+0.2h+1.6
3.2h+1.6
Write the following number in standard form 7.21x10^5
Answer:
721000
Step-by-step explanation:
Answer:
it's 21000v^7x
does anyone know how to do the rest?
Answer/Step-by-step explanation:
Given:
[tex] \frac{4}{x} - \frac{3}{y} = 1 [/tex] ---› Equation 1
[tex] \frac{8}{x} + \frac{9}{y} = 7 [/tex] ---› Equation 2
Solution:
✔️Equation 1 × 3:
[tex] \frac{4}{x}*3 + \frac{3}{y}*3 = 1*3 [/tex]
[tex] \frac{12}{x} + \frac{9}{y} = 3 [/tex] ---› Equation 3.
✔️Equation 2 + Equation 3:
[tex] \frac{8}{x} + \frac{9}{y} = 7 [/tex] ---› Equation 2
[tex] \frac{12}{x} + \frac{9}{y} = 3 [/tex] ---› Equation 3.
Thus:
[tex] \frac{-4}{x} = 10 [/tex]
Cross multiply
[tex] 10x = -4 [/tex]
Divide both sides by 10
[tex] x = -\frac{4}{10} [/tex]
[tex] x = -\frac{2}{5} [/tex]
✔️Find y:
Substitute x = -2/5 into equation 1
[tex] \frac{4}{x} - \frac{3}{y} = 1 [/tex] ---› Equation 1
[tex] \frac{4}{\frac{-2}{5}} - \frac{3}{y} = 1 [/tex]
[tex] \frac{4}*{\frac{5}{-2}} - \frac{3}{y} = 1 [/tex]
[tex] -10 - \frac{3}{y} = 1 [/tex]
Add 10 to both sides
[tex] - \frac{3}{y} = 1 + 10 [/tex]
[tex] \frac{-3}{y} = 11 [/tex]
Cross multiply
[tex] 11y = -3 [/tex]
Divide both sides by 11
[tex] y = -\frac{3}{11} [/tex]
The scale factor of the two shapes is 0.5 (or 1/2). True or false? B 32.4 km W 36 km 18 km True False
Answer: True
Step-by-step explanation:
The scale factor between shapes is the number that when multiplied by the dimensions of the original shape will give the dimensions of the transformed shape.
Likewise when the dimensions of the transformed shape is divided by this number, it will yield the dimensions of the original shape.
The original shape has a length of 36km.
= 36 * 0.5
= 18 km
This proves that 0.5 is the scale factor because when the length of the original shape was multiplied by it, the result was the length of the transformed shape.
The following graph indicates a _______________.
a.
2 × 4 factorial design with interaction
b.
4 × 2 factorial design with no interaction
c.
4 × 2 factorial design with interaction
d.
2 × 4 factorial design with no interaction
e.
randomized block design
Find the volume of the following.
(Round to the nearest tenth if necessary)
There is 1/4 chance of picking a green marble from a bag. IF there are 20 total marbles in the bag, how many marbles must be green?
Answer:
5 green marbles.
Step-by-step explanation:
20* 1/4 = 5
