Answer:
Step-by-step explanation:
(fg)(x) )
[tex](x+4)*(3x^{2} -7)[/tex]=[tex]3x^{3} -7x+12x^{2} -28[/tex] = [tex]3x^{3} +12x^{2} -7x-28[/tex]
Composite functions are functions that are gotten from combining multiple functions.
The value of the composite function (f o g)(x) is 3x^2 -3.
The functions are given as:
[tex]f(x) = x + 4[/tex]
[tex]g(x) = 3x^2 - 7[/tex]
To calculate the composite function (f o g)(x), we make use of:
[tex](f\ o\ g)(x) = f(g(x))[/tex]
We have:
[tex]f(x) = x + 4[/tex]
Substitute g(x) for x
[tex]f(g(x)) = g(x) + 4[/tex]
Substitute [tex]g(x) = 3x^2 - 7[/tex]
[tex]f(g(x)) = 3x^2 - 7 + 4[/tex]
[tex]f(g(x)) = 3x^2 -3[/tex]
Recall that:
[tex](f\ o\ g)(x) = f(g(x))[/tex]
So, we have:
[tex](f\ o\ g)(x) = 3x^2 -3[/tex]
Hence, the value of the composite function (f o g)(x) is 3x^2 -3.
Read more about composite functions at:
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Can somebody plz answer this word question correctly thanks
WILL MARK BRAINLIEST WHOEVER ANSWERS FIRST! :DD
Answer:
i think its 1.6-
Step-by-step explanation: science
Answer:
60%
Step-by-step explanation:
Percentage of money saved by Ovide = [tex]\frac{9}{15} * 100 = \frac{3}{5}*100[/tex]
= 3 * 20
= 60%
2=b-7 solve this question please
Answer: 9=b
Step-by-step explanation:
2=b-7
Add 7 to both sides
2+7=b
9=b
Answer:
b = 9
Step-by-step explanation:
2 = b - 7
add 7 to both sides
9 = b
the lamp is $10 and the sales tax is 5% whats the total cost of the lamp
Answer:
10.50
Step-by-step explanation:
Answer:
10.50
Step-by-step explanation:
multiply 10 by .5 and you get 50cents so add that to 10 and you get 10.50
What is the value of x^2 - 3y + 5x + 2 whenx = 7 and y = 4?
Answer:
74
Step-by-step explanation:
[tex]x^2 - 3y + 5x + 2 \\ \\ = {7}^{2} - 3(4) + 5(7) + 2 \\ \\ = 49 - 12 + 35 + 2 \\ \\ = 74[/tex]
Find the midpoint. Help pleaseeee
Answer:
0.5
Step-by-step explanation:
Co-ordinate of the mid point of the segment whose co-ordinates are -6 & 7 is =
[tex] \frac{7 + ( - 6)}{2} = \frac{1}{2} = 0.5[/tex]
(8x+9)(7x^2+3x+3)
Multiply
Answer:
56x³+87x²+51x+27
Step-by-step explanation:
You have to do box method. Draw a box that 3 by 2 cubes long. On the side that is 3 cubes long. Write 7x² on top of the first cube, 3x on top of the second cube, and 3 on top of the third cube. On the side that is two cubes long, write 8x next to the first cube and 9 next to the second cube.
the domain of y=log(9-x^2),xER, is
Step-by-step explanation:
log(z) is defined when z > 0.
For log(9 - x²) to be defined, we have 9 - x² > 0.
=> x² < 9, -3 < x < 3.
The domain of y = log(9 - x²) is (-3,3).
8. You deposit $2000 in an account that
earns 5% annual interest. Find the balance
after 1 year if the interest is compounded
quarterly.
A. $2,100
B. $2,101.89
C. $2,102.32
D. $2,102.49
Answer: A, $2,100
Step-by-step explanation:
2000x1.05=2,100
2 2/9 +1 4/9 please help
Answer:
3 2/3
Step-by-step explanation:
In addition, the denominator has to be the same and it doesn't change when 2 fractions are added together, unless ur trying to simplify the equation, anyways:
2 2/9 +1 4/9
3 6/9
simplify
3 2/3
Kiesha and her classmates wrote proportions for the reduction of a triangle.
A larger and smaller triangle have corresponding heights and bases.
Which proportions are set up correctly? Select three options.
StartFraction original height over original base EndFraction = StartFraction reduction height over reduction base EndFraction
StartFraction original height over reduction height EndFraction = StartFraction original base over reduction base EndFraction
StartFraction original height over reduction base EndFraction = StartFraction reduction height over original base EndFraction
StartFraction reduction height over reduction base EndFraction = StartFraction original height over original base EndFraction
StartFraction original height over original base EndFraction = StartFraction reduction base over reduction height EndFraction
Answer: A, B, and D are correct!
Step-by-step explanation:
Hope this helps! :)
The three proportions that are set up correctly for the reduction of a triangle are:
original height / original base = reduction height / reduction base
original height / reduction height = original base / reduction base
original height / reduction base = reduction height / original base
Options 1, 2, and 3 are correct.
What is a triangle?A triangle is a 2-D figure with three sides and three angles.
The sum of the angles is 180 degrees.
We can have an obtuse triangle, an acute triangle, or a right triangle.
We have,
The three proportions that are set up correctly for the reduction of a triangle are:
1)
original height / original base = reduction height / reduction base
This proportion represents that the ratio of the original height to the original base is equal to the ratio of the reduction height to the reduction base.
2)
original height / reduction height = original base / reduction base
This proportion represents that the ratio of the original height to the reduction height is equal to the ratio of the original base to the reduction base.
3)
original height / reduction base = reduction height / original base
This proportion represents that the ratio of the original height to the reduction base is equal to the ratio of the reduction height to the original base.
Thus,
original height / original base = reduction height / reduction base
original height / reduction height = original base / reduction base
original height / reduction base = reduction height / original base
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Joseph is weaving a ceremonial Native American sash. The sash will be 8 feet long when it is completed. Joseph wants to add a diamond shape every 0.4 feet along the sash. How many diamonds will the sash have when it is completed? A. 20 B. 19 C. 18 D. 17 pls give answer
Answer:
20 diamonds
Step-by-step explanation:
It is given that,
Length of the sash when it is completed = 8 feet
Joseph wants to add a diamond shape every 0.4 feet along the sash.
We need to find no of diamonds the sash have when it is completed. It can be calculated by dividing total length by 0.4 feet. As a result,
n = 8/0.4
n = 20
Hence, 20 diamonds the sash will have when it is completed
Please answer correctly !!!!!!!!!!!!!! Will mark Brianliestttt !!!!!!!!!!!!!!!!!!!!!!!!
Answer:
D {36,47,60}
Step-by-step explanation:
it would have to be {37,48,60} for it to be a right triangle
hope this helps you out
Find the answer when you substitute the letters with k = 14 and d = 5 in the equation. -5d - 7k.
Answer:
-123
Step-by-step explanation:
Given that k=14 and d=5 we can substitute d and k for their actual values. -5(5)-7(14).
-5*5=-25.
-7*14=-98.
-25-98=-123.
You can use this method to solve other problems in the future hope you find this helpful. : )
Helppppppp pleaseeee
Answer:
-5
Step-by-step explanation:
a= -4 than 2 times-4. than be 8.and 4 square is -16. So it be 3+8-16 = -5
Answer:
27
Step-by-step explanation:
[tex]3-2a+a^2\\[/tex]
If a = -4 then just replace a with -4
[tex]3-2(-4)+(-4)^2\\3+8+16\\27[/tex]
Which equation is represented by the graph below?
Order the set of integers from greatest to least. {8, 43, -25, 12, -14, 3}
Step-by-step explanation:
{43, 12, 8, 3, -14, -25}
two boats leave a ramp traveling in opposite directions. The second boat is 10 miles per hour faster than the first. After 3 hours they are 150 miles apart. Find the speeds of the boats.
Answer:
220 mph ; 230 mph
Step-by-step explanation:
Given that :
Speed of First boat = x
Speed of Second boat = y
y = (10 + x) mph
Distance apart after 3 hours = 150 miles
Speed of the boats :
Speed / time = distance
First boat distance = x / 3
Second boat distance = (10+x) /3
x/3 + (10+x)/3 = 150
x + 10 + x = 150 * 3
2x + 10 = 450
2x = 450 - 10
2x = 440
x = 220 mph
Speed of second boat = 220 + 10 = 230 mph
12. Translate this phrase into an algebraic expression.
Two more than the product of 24 and Janelle's score
find the slope of the line through each pair of points. (9, 16) , (14, -12)
Answer:
slope = - [tex]\frac{28}{5}[/tex]
Step-by-step explanation:
Calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (9, 16) and (x₂, y₂ ) = (14, - 12)
m = [tex]\frac{-12-16}{14-9}[/tex] = [tex]\frac{-28}{5}[/tex] = - [tex]\frac{28}{5}[/tex]
can anyone help and explain why this is either proportional or not? urgent!! (it needs an explanation too)
Answer:
Yes
Step-by-step explanation:
I would say yes, x is multiplied by itself to get an answer for y.
The graph shows a proportional relationship between the number of hours, x, Gail tutors and the total amount she earns, y. One student needed extra help. Gail got charged $250 for 11 hours of tutoring. Did she charge her unit rate? Explain.
Answer:
$22.72 per hourStep-by-step explanation:
Step one:
given data
we are told that she got charged $250
time of the tutoring = 11 hours
Step two:
Required
The unit rate: this is defined as the cost per item, in this case, it is the cost per unit of time, Hence
the unit rate
=250/11
=$22.72 per hour
In △RST, TR ≅ ST, m∠T=142∘. Find m∠S.
Answer:
m∠S = 142°
Step-by-step explanation:
If TR ≅ ST, then...
T≅S
R≅T
Answer:
19Step-by-step explanation:
What equation is equal to 8-2x=12?
A)2x-8=-12
B)2x-8=12
C)x-4=6
D)2x=20
please i need this done in an hour
What is the best deal ?? Please tell me step by step.
Answer:
10 cans of Pepsi for $6.30
Answer:
4 cans of Pepsi for 2.40
find the amount and the compound interest on rupees 12000 at 6% p.a. compounded half yearly for 3/2 years
Answer:
A= ₹3,112.72
CI = ₹1,112.72
Step-by-step explanation:
Here P = ₹ 12000
Since, interest is compounded half yearly.
Therefore, R = 6/2 = 3%
n = 3/2* 2 = 3 half years
[tex] \because A= P\bigg(1+\frac{R}{100}\bigg)^n [/tex]
[tex] \therefore A= 12000\times \bigg(1+\frac{3}{100}\bigg)^3 [/tex]
[tex] \therefore A= 12000\times \bigg(\frac{100+3}{100}\bigg)^3 [/tex]
[tex] \therefore A= 12000\times \bigg(\frac{103}{100}\bigg)^3 [/tex]
[tex] \therefore A= 12000\times \bigg(1.03\bigg)^3 [/tex]
[tex] \therefore A= 12000\times 1.092727 [/tex]
[tex] \therefore A= 13,112.724 [/tex]
[tex] \therefore A=Rs. \:13,112.72 [/tex]
CI = A - P
CI = 13,112.72 - 12000
CI = ₹1,112.72
HELP ME PLSS,, I need help
Answer:
$100 per deposit
Step-by-step explanation:
Answer:
It is very simple all you have to do is take the first two points and figure how far they are apart from each other. Well from 250 to 150 is 100 so every deposit they put 100 dollars in so the answer is.
$100 dollars deposit
Rick has a piece of lumber that is 12 feet long. He cuts it into pieces that are each 3/4 of a foot long. How many pieces of 3/4 foot lumber will he be able to make?
Answer:
He will be able to make 16 pieces of lumber
Step-by-step explanation:
Richard and Linda enjoy visiting Hilton Head Island, South
Carolina. The distance from their home to Hilton Head is
975 mi, so the drive takes them 2 days. Richard and Linda
travel twice as far the first day as they do the second day.
How many miles do they travel each day?
Answer:
first day: 650, second day: 325
Step-by-step explanation:
Let x be the number of miles travelled on the second day and 2x the number of miles travelled on the first day. They add up to 975.
2x+x=975
3x=975
x=325
x represents the number of miles travelled on the second day so they travelled 650 miles on the first day and 325 miles on the second day.
Answer:
650 miles the first day, 325 miles the second day
Step-by-step explanation:
We can call the distance they traveled on the first day as 2x and the distance they traveled on the second day as x. The former is 2x because they traveled twice as far the first day compared to the second day. Since the total distance traveled is 975 miles, we can write the following equation to solve for x:
[tex]2x + x = 975[/tex]
[tex]3x = 975[/tex] (Simplify LHS; 2x + x = 3x)
[tex]\frac{3x}{3}=\frac{975}{3}[/tex] (Divide both sides of the equation by 3 to get rid of the coefficient on x)
[tex]x = 325[/tex] (Simplify)
Therefore, [tex]2x = 2 * x = 2 * 325 = 650[/tex] so the final answer is they traveled 650 miles the first day and 325 miles the second day. Hope this helps!
Graph the equation y=2x+1
Answer:
hope it helps
Step-by-step explanation: