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
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:
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
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
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
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:
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
please helpppppp ! i’m stuck :(
Answers
Answer:
b
Step-by-step explanation:
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.
__
e) As with c, √9 = e = 3.
__
g) As with c, √36 = g = 6.
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:
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.
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:
ANSWER FOR BRAINLIEST
A unit rate is a rate in which the unit in the denominator is :
A) 1
B) 3
C) 2
Answers
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
HELPPPPPPP plesssss two part question. the question is on the picture
Answers
B) (2x-7+3x^2+4x)+(2x-7+3x^2+4x)=perimeter
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
Find all values of x such that 6=35/x -49/x^2
Answers
X1= 7/3, X2= 7/2.
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
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.
Use the table to write the rule (equation) for the relationship between x
and y.
х
<
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
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
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
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
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
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:
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
━━━━━━━━━━━━━━━━━
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
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
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
HURRRY FIRST GETS BRAINLIESTTTT
Answers
Answer:
5
Step-by-step explanation:
because others are already there
Answer:5
Step-by-step explanation:
some one please help, lots of points granted !!!!!
Answers
2)y=-1/3x
3)y=-2x+4
4)y=-1/3x+1