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
How many terms are in 12x - 3 = 18
Answer: 1.75
Step-by-step explanation:
12x-3=18
+3 +3
12x=21
12 12
x=1.75
What is the area of a rectangle with a length of 3 ft and a width of 16.1 ft? 48.3 ft2 38.2 ft2 24.15 ft2 19.1 ft2
Need help on 1, 2, and 3. 50 points and brainliest
Answer:
1. 7/12
2. 6 2/5
3. 18/5
Step-by-step explanation:
Answer:
1st is 7/12
2nd is 6and 2/5
3rd is answer is not shown
Step-by-step explanation: Brainliest pls
hope this helped
(Giving Brainlyst)
Awnser this with the letter and fraction listed
EX. H- 2/3
Thanks!
Answer:
C-7/8
R-8/9
P-61/66
L-11/18
I-3/4
A-7/12
O-47/55
H-29/40
S-28/33
T-4/5
M-11/12
E-71/84
U-13/42
N-19/20
I swear to god if I don’t get brainliest I’m going to lose it I haven’t done this math in like four years and it kinda took a while.... but I hope it helped u ☺️☺️☺️❤️❤️❤️❤️
Step-by-step explanation:
Answer:
I-9/12 or 3/4
T- 8/10 or 4/5
C- 7/8
A- 7/12
M- 11/12
R- 7/9
O- 36/55
E- 71/84
P- 61/66
H- 29/40
U- 13/42
L- 11/18
S- 28/33
N- 19/20
Step-by-step explanation:
if any are wrong, just lmk and i'll see what I did. But, i'm pretty sure they're right
HELP ASAP!! What are the boundaries of the feasible region (i.e. the points that define
the region of solutions)? (Hint: There should be four points)
Answer:
We need to see the graph in order to solve this.
Step-by-step explanation:
No graph
Please answer this as soon as possible!! ASAP Simplify to a single power of 2: 2^7/2^5
Answer:
i got 4
Step-by-step explanation:
Answer:
2²
Step-by-step explanation:
[tex]\frac{a^{m}}{a^{n}}=a^{m-n} , m>n\\\\\\\frac{2^{7}}{2^{5}}=2^{7-5}=2^{2}[/tex]
Find the value of r in the triangle shown below.
X =
50°
41°
Answer:
89
Step-by-step explanation:
180 - (50 + 41)
180 - 91
89
.ie x= 89
because total sides of triangle = 180 degree
hope this answer helps!!!!
3. (05.01)
A consistent, dependent system of equations is a system with ______
(1 point)
Answer: only one line
Step-by-step explanation:
Please help me!!!!!!
Answer:
C.) y=-2/3+4
Step-by-step explanation:
You can look at the y-intercept to find the equation really quickly!
For example, the line crosses the y-axis at the value of 4, therefore, the y-intercept is 4.
The only option with a y-intercept of 4 is C
how long does it take for a car driving at 0.92 per minute to drive at 7.4
plzzzz helppp im stupid!!!
Answer:
1. A'B'C'
(2, 4) (4, 10) (14, 2)
A''B''C'' (2, 8) (8, 14) (14, 6)
2. D'E'F'G
(-6, 3) (-9, 3) (-6, 12) (-9, 12)
D''E''F''G'' (-2, 1) (-3, 1) (-2, 4) (-3, 4)
Step-by-step explanation:
Ok. So, when you are dialating, you first step is to determine wether it is bigger or smaller. If the scale factor is more than one, it is an enlargment or getting bigger. If it is less than 1, it is a reduction and getting smaller. Then, it is just math. Lets say that the point is (2, 4) and your scale factor is 2. Multiply 2 times 2 to get 4. Then multiply 4 times 2 to get 8. Your new cordinante is (4, 8).
You are not stupid you can do it!
Need help
Question in the screenshot below
NO spam
Please show your work
======================================================
Work Shown:
[tex]\log_{4}(x+10)+\log_{4}(x-2)=\log_{4}(64)\\\\\log_{4}\left((x+10)(x-2)\right)=\log_{4}(64)\\\\(x+10)(x-2)=64\\\\x^2-2x+10x-20=64\\\\x^2-2x+10x-20-64=0\\\\[/tex]
[tex]x^2+8x-84=0\\\\(x+14)(x-6)=0\\\\x+14=0 \ \text{ or } \ x-6=0\\\\x=-14 \ \text{ or } \ x=6\\\\[/tex]
Those are the possible solutions, but plugging x = -14 back into the original equation will lead to an error. So we rule x = -14 out
x = 6 works as a solution however
pls helppppppppppppp
Answer:
B is the answer
Step-by-step explanation:
Part A) 8*25=200 less 2x15= $170
Part B 3*25 = $75 less 6x15= $90- Total loss $15 (75-90)
etc
Adah produces scented candles. The cost of producing a candle is $1.25. Adah sells a candle for $2.50. She has a start-up costs of $300.
a) Write a system of two equations that models this situtaiton.
b) Determine the number of candles Adah must sell to break even. Solve the system using your chosen method and identify the method used.
Answer:
(a) The system of two equations are
c = $300...(1)
p = x × ($2.50 - $1.25)...(2)
(b) The number of candles she must sell to break even are 240 candles
Step-by-step explanation:
The cost of of producing a candle = $1.25
The price at which Adah sells a candle = $2.50
The stat-up cost of producing candles = $300
(a) Let c represents the start-up cost of producing candles, let p represent the profit Adah makes from selling candles and x represents the number of candles sold, we have;
c = $300...(1)
p = x × ($2.50 - $1.25)...(2)
(b) The number of candles Adah must sell to break even is given as follows;
At break even point, Start-up cost = Profit
∴ c = p
300 = x × (2.50 - 1.25) = 1.25·x
∴ x = 300/1.25 = 240
Therefore;
The number of candles she must sell to break even = 240 candles
6. Find how long it takes $600 to double if it is invested at 12%
interest compounded monthly.
With work
Answer:
A = $697.09
Step-by-step explanation:
A = P (1 + r/n)
A = 600 (1 + 0.05/365)
A = $697.09
Miguel has 48 pieces of quartz. He wants to
divide the pieces equally into 9 bags. How
many pieces of quartz will be in each bag?
How many pieces will be left over? Use tiles
or draw an array to help you find the answer.
Answer:
49
Step-by-step explanation:
In a survey of 100 dog owners, 75% said that they always feed their dog dry food.
What fraction of the dog owners surveyed feed their dog dry food?
Answer:
3/4
Step-by-step explanation:
Please give brainliest!
Which of the following does NOT satisfy the commutative property?
Multiplication with 3x3 matrices
O Multiplication with integers
O Multiplication with complex numbers of the form a + bi
O Multiplication with real numbers
9514 1404 393
Answer:
A. Multiplication with 3×3 matrices
Step-by-step explanation:
Multiplication with real or complex numbers is commutative. Matrix multiplication is not commutative, in general.
Please help meeeee :,(
Answer:
I pretty sure the answer is ASA, I hope it's right!
I REALLY NEED HELP!! Determine whether the graph represents a proportional relationship. (4 points)
A graph is shown. The x-axis is labeled from 0 to 9. The y-axis is labeled from 0 to 15. Four points are shown on the graph on ordered pairs 0, 2 and 1, 6 and 2, 10 and 3, 12. These points are joined by a line. The label on the x-axis is Number of cars. The title on the y-axis is Number of wheels.
a
Yes, it is a proportional relationship because the graph goes through the origin
b
Yes, it is a proportional relationship because the graph is a straight line
c
No, it is not a proportional relationship because the graph is not a straight line
d
No, it is not a proportional relationship because the graph does not go through the origin
Answer:
d) No, it is not a proportional relationship because the graph does not go through the origin
Step-by-step explanation:
A proportional relationship has to pass through the origin (0,0)
what is the quotient of -0.05 ÷ (-5/8)
Answer:
-0.08 YW <3
Step-by-step explanation:
Answer:
0.08
Step-by-step explanation:
Use a calculator!
220-450+9
Will mark brainliest
Answer:
220_450×9 =-221Step-by-step explanation:
I hope l helped you .Please follow me. ❤❤The radius of a circle is 7 cm. Find its area in terms of \piπ.
Answer:
153.94cm²
Step-by-step explanation:
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
[tex]Area = \pi \times ({radius})^{2} [/tex]
[tex]Area = \pi \times ({7})^{2} [/tex]
[tex]Area = \pi \times 49[/tex]
[tex]Area = 49\pi[/tex]
Done...
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
A jar contains 5 blue marbles, 8 red marbles, 4 white marbles, and 3 purple marbles. Suppose you pick a marble at random without looking.
P(purple) =
Answer:
.15 or 15%
Step-by-step explanation:
5+8+4+3=20
3 purple marbles/20 total marbles= .15
Write 6 2/7 as an improper fraction.
Answer: 44/7
Step-by-step explanation: Hope it helps pls give brainliest
6 2/7= ?/7
multiply 6 by 7
= 6 2/7= 42/7
add 42 and 2= 44
= 44/7
The given mixed number 6 2/7 expressed as an improper fraction is 44/7.
The given mixed numbers s as follows:
6 2/7
To convert the mixed number 6 2/7 to an improper fraction, we can follow these steps:
Multiply the whole number (6) by the denominator (7).
⇒ 6 x 7 = 42
Add the product from Step 1 to the numerator (2).
⇒ 42 + 2 = 44
Write the sum from Step 2 as the new numerator over the denominator (7).
The improper fraction equivalent of 6 2/7 is 44/7.
Therefore, 6 2/7 expressed as an improper fraction is 44/7.
Learn more about the fraction here:
brainly.com/question/10354322
#SPJ6
What 3 consecutive numbers if the sum is 15333
Answer:
[tex]5110, 5111, 5112[/tex]
Step-by-step explanation:
Let [tex]x=[/tex] first consecutive number
[tex]x + (x+1)+(x+2) = 15333[/tex] ([tex]x[/tex] is the first number, [tex]x+1[/tex] would be the second consecutive number of the sequence, and [tex]x+2[/tex] would be the third)
[tex]3x + 3 = 15333[/tex]
[tex]3x = 15330[/tex]
[tex]x = 5110[/tex]
[tex]x+1 = 5110+1[/tex]
[tex]= 5111[/tex]
[tex]x+2 = 5110 + 2[/tex]
[tex]= 5112[/tex]
[tex]\therefore[/tex] the consecutive numbers that sum up to [tex]15333[/tex] are [tex]5110, 5111,[/tex] and [tex]5112[/tex]
Hope this helps :)
Write an equation for the following problem.
The cost of a babysitting service on a cruise is $10 for the first hour and $12 for each additional hour. If the total cost of
babysitting baby Aaron was $58, how many hours was Aaron at the sitter?
12x+10=58
10x+12=58
12x-58=10
10x+58=12
Answer: Aaron was at the sitter for 5 hours
Step-by-step explanation:
12x + 10 = 58
the 12x is for each hour after the first hour and the 10 is the first hour
-10 from each side
12x = 48
/12
x = 4
4 additional hours plus the original hour
help anyone?? PLSS ?? ill love u 4eva
Answer:
4 and 5
Step-by-step explanation:
xy = 20
x + y = 9 ⇒ x = 9 - y
y(9 - y) = 20
9y - y² = 20
y² - 9y + 20 = 0
D = ( - 9)² - 4(1)(20) = 81 - 80 = 1
[tex]y_{1}[/tex] = (9 + 1) ÷ 2 = 5
[tex]y_{2}[/tex] = (9 - 1) ÷ 2 = 4
The numbers are 4 and 5
Find the slope of the line that is parallel and perpendicular to the given line.
y = 1/3x + 5
m ll =
⊥ =
Answer:
|| slope= 1/3
⊥ slope=-3
Step-by-step explanation:
The line is y=1/3x+5
Parallel slopes are the same (think about parallel lines and how they will never intersect- that means that slopes of those lines will never intersect so they have to be the same)
That means that the || slope will be 1/3.
Perpendicular slopes are negative and reciprocal (if you multiply them, they will equal -1)
Which means to solve for the slope perpendicular, use this equation
1/3m=-1
multiply by 3 on both sides
m=-3
So that means the ⊥ slope will be -3.
hope this helps!
Answer:
[tex]\frac{1}{3}[/tex] and - 3
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = [tex]\frac{1}{3}[/tex] x + 5 ← is in slope- intercept form
with slope m = [tex]\frac{1}{3}[/tex]
Parallel lines have equal slopes, thus
[tex]m_{parallel}[/tex] = [tex]\frac{1}{3}[/tex]
Give a line with slope m then the slope of a line perpendicular to it is
[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{\frac{1}{3} }[/tex] = - 3
At a country concert, the ratio of number of boys to the number of girls is 2:7. If there are 250 more girls than boys, how many boys are at the concert?!
PLSSSSSSSS I NEED HELP ASAP PRETTY SURE THIS IS BEING GRADED!! GIVING BRAINLIEST AND 40 POINTS!!
Answer:
100 boys at the concert
Step-by-step explanation:
When changing the ratio between the number of boys to the number of girls, it always has to be equivalent to the original ratio 2:7
So, convert the ratio 2:7 to a different ratio, but it still has to be equivalent to the ratio 2:7. By doing that, multiply both sides of the 2:7 ratio by 50:
2 : 7
×50 ×50
To get:
100:350 ⇒ This ratio means that the ratio between the number of boys to the number of girls is now 100:350, but that’s okay to have because it’s still equivalent to the original 2:7 ratio.
So, using the new ratio 100:350, this means that there are 100 boys at the concert and 350 girls at the concert, and 350 is 250 more than 100 which proves what the question is asking. So there are 100 boys at the concert.
Answer: 100 boys at the concert
I hope you understand and that this helps with your question! :)