Select the correct answer.
Consider these functions:
f(x) = 2x^3+3
g(x) =x- 4
What is the value of g(f(x))?
Answers
Answer:
A. 2x³ - 1
General Formulas and Concepts:
Algebra I
Composite FunctionsStep-by-step explanation:
Step 1: Define
f(x) = 2x³ + 3
g(x) = x - 4
Step 2: Find g(f(x))
Substitute: g(f(x)) = (2x³ + 3) - 4Simplify: g(f(x)) = 2x³ - 1Related Questions
If 8 is added to a number and the sum is divided by 3, the result is 12, find the number. (a) 28 (b) 38 (c) 20 (d) 10
Answers
Answer:
a(28)
Step-by-step explanation:
28+8=36
36/3=12
Answer:
a) 28
Step-by-step explanation:
28+8=36
36/3=12
David earns a 4% commission for all the furniture he sells. If David sales were 187500 what was the dollar amount of his commission?
Answers
Answer:195000
Step-by-step explanation: We add 4% to 187500 Since He gets 4% for his sales
suppose that an individual has a body fat percentage of 14.4% and weighs 128 pounds. How many pounds of his weight is made up of fat? round your answer to the nearest tenth.
Answers
HELPPPPPPP plesssss two part question. the question is on the picture
Answers
B) (2x-7+3x^2+4x)+(2x-7+3x^2+4x)=perimeter
Enter the values for the variables that give the
correct simplified expressions, x => 0.
V
50x2 = V25-2-x2 = 5x]
b =
32x = V16-2 - x = cv 2x
C
18n
9.2.n=ev
e2n
e =
72x2 - V36-2- x2 = gx_3
g=
Answers
9514 1404 393
Answer:
b = 2
c = 4
e = 3
g = 6
Step-by-step explanation:
b) The number remaining under the radical is what's left after the perfect squares 25 and x² are removed. That is b = 2.
__
c) The number outside the radical is the root of the perfect square constant inside the radical: √16 = c = 4.
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e) As with c, √9 = e = 3.
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g) As with c, √36 = g = 6.
The figure shows the graph of y = -x² + bx + c. Find the values of b and c.
Answers
Answer:
b = 2, c = 3
Step-by-step explanation:
The zeros are x = - 1 and x = 3
Substitute the zeros into the equation and let y = 0
- (- 1)² - b + c = 0
- 1 - b + c = 0 → (1)
- 3² + 3b + c = 0
- 9 + 3b + c = 0 → (2)
Subtract (1) from (2) term by term, that is
- 8 + 4b = 0 ( add 8 to both sides )
4b = 8 ( divide both sides by 4 )
b = 2
Substitute b = 2 into either of the 2 equations and solve for c
Substituting into (1)
- 1 - 2 + c = 0
- 3 + c = 0 ( add 3 to both sides )
c = 3
how many vertices ate there in a square
Answers
Answer:
4
Step-by-step explanation:
Answer:
4
Step-by-step explanation:
there are 4 vertices in a square
There are 4 consecutive integers with a sum of 298. What is the value of the least integer?
Answers
Step-by-step explanation:
let the consecutive integers be x,x+1,x+2,x+3
x+x+1+x+2+x+3=298
4x+6=298
4x=298-6
4x=292
x=292/4=73
numbers are 73,74,75,76
What is the value of n that would make the following radical expression true?
[tex]\sqrt[n]{1000x^{5} } y^{7} =10xy^{2} \sqrt[n]{x^{2}y }[/tex]
n=?
Answers
Answer: 3
Step-by-step explanation:
Answer:
n = 3
Step-by-step explanation:
dont remember exactly how we did it in class but went through this question
Use the table to write the rule (equation) for the relationship between x
and y.
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<
ا
0
-3
1
1
2
5
Answers
Answer:
y = 4x - 3
Step-by-step explanation:
The values in the x column increase by 1 each time.
The values in the y column increase by 4 each time.
Therefore, the slope of your equation should be 4.
The y-intercept is -3 when x = 0.
The final equation would be:
y = 4x - 3
f(x) = x + 4 g(x) = 3x ^ 2 - 7 Find (fg)(x) .
Answers
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:
https://brainly.com/question/10687170
what is the total surface area of three of these ice cubes (pic attached)
Answers
Answer:
9ft2
Step-by-step explanation:
Answer:
18 ft
Step-by-step explanation:
Solve the equation -3(x - 14) + 9x = 6x + 42. Does the equation have one solution, no solution, or infinitely many solutions?
Answers
Hello!
[tex]\large\boxed{\text{Infinitely many solutions.}}[/tex]
-3(x - 14) + 9x = 6x + 42
Distribute the coefficient of the parenthesis:
-3(x) - 3(-14) + 9x = 6x + 42
-3x + 42 + 9x = 6x + 42
Combine like terms:
6x + 42 = 6x + 42
Both sides of the equation are the same, therefore:
There are infinitely many solutions.
⠀⠀⠀⠀
Equation have Infinitely many Solutions⠀⠀⠀⠀
______________________
⠀⠀⠀⠀
➤ How to solve ?⠀⠀⠀⠀
For solving such problems we need to recall equations .
⠀⠀⠀⠀
When the value of two variable comes equal and zero in an equation then that equation is said to have infinitely many solutions . If the value of a variable have any particular constant then the equation is said to have one solution . If the value of of any variable comes undefine then the equation is said to have no solution .
⠀⠀⠀⠀
━━━━━━━━━━━━━━━━━
⠀⠀⠀⠀
SolutiOn :➠ - 3 ( x - 14 ) + 9x = 6x + 42
➠ -3x + 42 + 9x = 6x + 42
Now, we will bring the variable on left hand side and constants on right hand side
➠ -3x + 9x - 6x = 42 - 42
➠ -9x + 9x = 42 - 42
➠ 0 = 42 - 42
➠ 0 = 0
As we can see the equation have end with a zero the equation have indefinitely many solutions
➠ Indefinity many solutions
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What is the cube root of 27x^18?
A)3x^6
B)3x^9
C)9x^6
D)9x^9
Answers
Answer:
It’s B
Step-by-step explanation:
just answered question
HURRRY FIRST GETS BRAINLIESTTTT
Answers
Answer:
5
Step-by-step explanation:
because others are already there
Answer:5
Step-by-step explanation:
Find all values of x such that 6=35/x -49/x^2
Answers
X1= 7/3, X2= 7/2.
Over the summer, for every 12 okra seeds Dana planted, 7 grew into plants. If he planted 144 okra seeds, how many grew into plants?
A.
69
B.
84
C.
139
D.
247
Answers
Answer:
If Dana planted 144 okra seeds, 84 of those seeds grew into plants.
Explanation:
Image below.
There are okra plants grown from 84 seeds, which is the correct answer would be option (B).
What is Ratio?The ratio is defined as a relationship between two quantities, it is expressed as one divided by the other.
Over the duration of the summer, 7 out of every 12 okra seeds Dana placed grew plants. He might grow 144 okra plants.
For every 12 okra seeds Dana planted, 7 grew into plants, so the ratio of seeds that grew into plants to seeds planted is 7/12.
Dana planted 144 okra seeds, so the number of seeds that grew into plants is 144 seeds × (7/12) = 84 seeds.
Therefore, 84 okra seeds grew into plants.
To learn more about the Ratio click here:
brainly.com/question/1504221
#SPJ2
Several friends went to the movie. The tickets cost $24.50 and the refreshments for each friend were $2.50 and $4.85 each. The total was $83.30. Solve for x, the number of friends. $2.50x + $4.85x + $24.50 = $83.30
Answers
Answer:
x = 8
Step-by-step explanation:
Let there are x friends.
The tickets cost $24.50 and the refreshments for each friend were $2.50 and $4.85 each.
Total cost = $83.30
We need to solve for x. The equation for the scenario is given by :
$2.50x + $4.85x + $24.50 = $83.30
Taking like terms together
$2.50x + $4.85x = $83.30-$24.50
7.35 x = 58.8
x = 8
So, there are 8 friends.
Solve for k.
Give an exact answer.
1/4k = 3(-1/4k+3)
Answers
Answer:
k=9
HOPE THIS IS CORRECT!
Answer:
k =9
Step-by-step explanation:
I'm just built different
Calculate the total cost for each item.
6. A computer for $450.00 and a 6% sales tax. _____________________________________
7. A pair of pants for $75.00 and a 5% sales tax. ___________________________________
Answers
Answer:
1. 423 2. 71.25
Step-by-step explanation:
450.00-6%=423
75.00-5%= 71.25
some one please help, lots of points granted !!!!!
Answers
2)y=-1/3x
3)y=-2x+4
4)y=-1/3x+1
Help please due in an 1 hour!!
Answers
Answer:
275
Step-by-step explanation:
1375-550/5-2
Answer:
275 per minute
Step-by-step explanation:
550/2=275
1375/5=275
2200/8=275
3025/11=275
therefore it is 275 ft. per minute
ANSWER FOR BRAINLIEST
A unit rate is a rate in which the unit in the denominator is :
A) 1
B) 3
C) 2
Answers
y=
A.39
B.51
C.37
Find what y is through the photo
Answers
Explained: tan(x) 8/10 = 38.7 which is then rounded to 39
What is the best estimate for the percent equivalent to 3/8?
Answers
Answer:
To find this out, turn 3/8 into decimal form, (0.375).
Now, turn each percent into standard form. (Also decimal form)
26% = 0.26, 27% = 0.27, 37% = 0.37, and 38% = 0.38.
The decimal closest to 0.375 is 37%.
Step-by-step explanation:
A coach gives her players the option of running around feel twice or around the entire stadium once the following diagram shows the field in stadium dimensions on a corner grid which runs longer how much longer. Ill give brainliest and such this is also worth some good points
Answers
Answer:
Distance around the stadium is 75.16 monger than the field
Step-by-step explanation:
From the graph attached,
Coordinates of A → (-10, 60)
Coordinates of B → (60, -10)
Coordinates of C → (10, -60)
Coordinates of D → (-60, 10)
Perimeter of field = AB + BC + CD + DA
Since field is in the shape of a rectangle,
AB = CD and BC = DA
Therefore, perimeter of the rectangle = 2(AB + BC)
Length of AB = [tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
= [tex]\sqrt{(60+10)^2+(-10-60)^2}[/tex]
= [tex]\sqrt{2(70)^{2} }[/tex]
= [tex]70\sqrt{2}[/tex] m
Length of BC = [tex]\sqrt{(60-10)^2+(-10+60)^2}[/tex]
= [tex]50\sqrt{2}[/tex] m
Perimeter of ABCD = 2(70√2 + 50√2)
= 240√2 m
= 339.41 m
Perimeter of stadium = 2πr [Here, r = radius of the circle]
= 2π(120)
= 753.98 m
To run around the field twice, distance covered by the players = 2(339.41)
= 678.82 m
Difference in the distance covered to run around the stadium and the rectangular field = 753.98 - 678.82
= 75.16 m
Answer:
The distance around the stadium is longer than about 75
Step-by-step explanation:
On a coordinate plane, a curved line, labeled f of x, with a minimum value of (negative 1.9, negative 5.7) and a maximum value of (0, 2) crosses the x-axis at (negative 2.5, 0), (negative 0.75, 0), and (0.75, 0), and crosses the y-axis at (0, 2).
Which statement is true about the graphed function f(x)?
F(x) 0 over the intervals (–∞, –2.5) and (–0.75, 0.75).
F(x) 0 over the intervals ( –2.5, –0.75) and (0.75, ∞).
Answers
Answer:
the answer is d just took the test
Step-by-step explanation:
Answer:
i think its D
Step-by-step explanation:
According to the Fundamental Theorem of Algebra a 5th degree function has how many zeros?
Answers
Answer:
i need more info
Step-by-step explanation:
please helpppppp ! i’m stuck :(
Answers
Answer:
b
Step-by-step explanation:
Alyson opened a savings account with a deposit of $600. She withdrew $15 each day for
the next 5 days, and then deposited her entire paycheck from Barney's Bagels, bringing
her balance to $750. Then she remembered that she had promised to donate 25% of her
paycheck to charity. How much should she withdraw from savings?
Answers
Answer:
$187.5
Step-by-step explanation:
25% of $750 = $187.5!
All I had to do was divide 750 by 4 and got my answer. You can also double check by multiplying 187.5 by 4 and you'll get the same answer.