Answer:
D. 31
Step-by-step explanation:
Given:
[tex] f(x) = 4x^3 - 10 [/tex]
[tex] g(x) = \frac{3x - 4}{2} [/tex]
Required:
The value of g(f(2))
First, find f(2).
Substitute x = 2 into [tex] f(x) = 4x^3 - 10 [/tex].
[tex] f(2) = 4(2)^3 - 10 [/tex]
[tex] f(2) = 4*8 - 10 = 32 - 10 [/tex]
[tex] f(2) = 22 [/tex]
Next, find g(f(2)).
[tex] g(f(x)) = \frac{3(22) - 4}{2} [/tex]
[tex] g(f(x)) = \frac{66 - 4}{2} [/tex]
[tex] g(f(x)) = \frac{62}{2} [/tex]
[tex] g(f(x)) = \frac{62}{2} [/tex]
[tex] g(f(x)) = 31 [/tex]
please help with both questions thank you
pre cal 12 th grade math
Answer:
2x-3y+3=0
2x+y-3=0
Step-by-step explanation:
For 41.
points are (0,1) and (3,3)
Equation in two point form is
(x - 0)(3-1) = (3-0) ( y-1)
2x= 3y - 3
2x-3y+3=0
For 42.
Points are (0,3) and (2,-1)
Equation is
(x-0)(-1-3)=(y-3)(2-0)
-4x = 2y -6
4x + 2y -6 = 0
or 2x + y -3 = 0
-13.95 = -0.3m - 2.8m
Answer: combine like terms then divide dum dum
Step-by-step explanation:
According to order of operations, which two operations are performed last?
A. -
B. x
C. +
D. /
Which has a value closest to 9?
63
110
99
183
Answer:
64
Step-by-step explanation
is this right? please correct me if I'm wrong.
Answer:
Yes it seems that it is right
Can someone help with this please?
Answer:
A. Yes
B. Yes
C. No
D. No
Step-by-step explanation:
A is a linear equation, because it has an x with no exponent
B is a linear equation, because it has an x with no exponent
C is not a linear equation, because the exponent is more than 1
D is not a linear equation, because the exponent is more than 1
PLEASE HELP QUICK!!!!!!
Which fraction is equivalent to One-eighth?
2/24
3/32
4/48
5/40
Answer:
5/40
Step-by-step explanation:
1(5)=5
8(5)=40
5/40
Answer:
it should be 5/40 correct me if im wrong.
Hi! I’m struggling on this math book, above is the image of the problem please only tell me the answers of the boxes. Thank you (Will give branliest to the person who gives me the right answer)
sum (2M^2+m)+(2m^2+m)
different 5(m^2+ m)-(m^2+3M)
A farmer with three pigs is about to cross the river.There are also three domesticated wolves with them,which will also cross the river.Although tamed,the wolves would like eat the pigs if at any point in time there are more wolves on side of the river than the pigs.The boat is only big enough for three (the farmer and the two animals).What plan can the farmer use for crossing the river?
Answer:
walk around the river
Step-by-step explanation:
Suppose that quiz scores in a beginning statistics class have a mean of 6.4 with a standard deviation of 0.6. Using Chebyshev's Theorem, state the range in which at
least 75% of the data will reside. Please do not round your answers.
Answer
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(5.2,7.6)
mean=6.4
standard deviation=0.6
we have to find the range in which at least 75% of the data will reside
1-1/k²=0.75
1/k²=1-0.75
1/k²=0.25
k²=1/0.25=4
k=2
so, k=2
The range of values can be computed as mean±k(standard deviation).
Thus, the range in which at least 75% of the data will reside is
(mean-k(standard deviation), mean+ k(standard deviation))
(6.4-2(0.6),6.4+2(0.6)
(6.4-1.2,6.4+1.2)
(5.2,7.6)
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An older person is five years older than six times the age of a younger person the sum of their ages is 40 find their ages
Answer:young - 5 yeats old / old - 35 years old
Step-by-step explanation:
Paul needs to randomly select one of his four children to go first in a board game. Which simulation tools could he use in this situation?
1. a spinner divided evenly into 12 sections, with three sections each of four different colors. - Correct
2. a bag containing 12 chips in two different colors, with six of each color.
3. a standard deck of cards.
4. two coins -Correct
5. a six-sided number cube
Answer:
1/3/4 are all correct
Step-by-step explanation:
For Paul to select 1 of his 4 children, the simulation tool must have the possibility of giving a result of 1/4 (i.e. 1 in 4 children). The simulation tools capable of these results are: (1), (3) and (4)
To determine which simulation tool is correct for the situation, we simply put each option to test.
Option (1)
[tex]Sections = 12[/tex]
[tex]Sub= 3[/tex]
Here, the simulation is done by calculating the probability of each subsection.
The probability is:
[tex]Pr = \frac{Sub}{Sections}[/tex]
[tex]Pr = \frac{3}{12}[/tex]
Simplify
[tex]Pr = \frac{1}{4}[/tex]
Option 2
[tex]Chips =12[/tex]
[tex]Sections = 2[/tex]
Here, the simulation is done by calculating the probability of each section.
The probability is:
[tex]Pr = \frac{Sections}{Chips}[/tex]
[tex]Pr = \frac{2}{12}[/tex]
Simplify
[tex]Pr = \frac{1}{6}[/tex]
Option 3
A standard deck has:
[tex]Cards = 52[/tex]
[tex]Suit = 13[/tex]
Here, the simulation is done by calculating the probability of each suit.
The probability is:
[tex]Pr = \frac{Suits}{Cards}[/tex]
[tex]Pr = \frac{13}{52}[/tex]
Simplify
[tex]Pr = \frac{1}{4}[/tex]
Option 4
[tex]Coins = 2[/tex]
Here, he needs to toss the coin 2 times. So, the possible sample space are:
[tex]S = \{HH, HT, TH, TT\}[/tex]
The probability of one of the outcomes is:
[tex]Pr = \frac{1}{n(S)}[/tex]
Where:
[tex]n(S) = 4[/tex] ---- number of outcomes
So:
[tex]Pr =\frac{1}{4}[/tex]
Option 5:
[tex]Sides =6[/tex]
The probability of getting 1 of the 6 faces is:
[tex]Pr = \frac{1}{6}[/tex]
Paul can only use simulations that give 1/4. Hence, (1), (3) and (4) are correct because they all equal 1/4.
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Please help me with this
Answer:Number 1 I think is -24 because the minus sign is right next to the () so that means multiply so - times negative is + 24 but then it says opposite so 24
number 2 I think 8 because positive times negative is negative then the opposite is positive 8
number 3 is -15 cause positive times positive is positive then the opposite of 15 is -15
number 4 is positive 33 because negative times positive is negative then the opposite is postive 33
number 5 is 40
and number 6 is -6 hope this helps
Step-by-step explanation:
a dry cleaning store charges $3.50 to clean mens shirt,$4.00 to clean mens pants and $5.00 to clean mens jacket if jose brings ten items for cleaning and pays a total of $48.00 what is the average price he has paid per item
Answer:
the answer is 4.8$
jose brought ten items to the store and for cleaning he payed 48 &
that means that the avarge can be found by. $48.00÷10=$4.8
Answer:
$4.8
Step-by-step explanation:
Average means"mean"
mean=total money/number of items in this case.
=48/10
=4.8$
A bowl contains blueberry and strawberry there are a total of 20 berries in the bowl The ratio of blueberry to strawberry is 2:3
Answer:
8:12
Step-by-step explanation:
2+3=5
20/5=4
2x4=8
3x4=12
answer correctly!!!!
Answer:
Y= 0
Step-by-step explanation:
Because y=4 it would be a straight horizontal line so the other line would have to be horizontal
What is the y-value in the solution to this system of linear equations?
4x + 5y = −12
-2x + 3y = −16
−4
−2
2
5What is the y-value in the solution to this system of linear equations?
4x + 5y = −12
-2x + 3y = −16
−4
−2
2
5
Answer:
The answer is the first one: -4 on Edge
Step-by-step explanation:
The y-value of the solution to the system of linear equations given is: A. -4.
How to Find the Solution to the System of Linear Equations?Given two linear equations, such as:
4x + 5y = −12 --> Eqn. 1
-2x + 3y = −16 --> Eqn. 2
Multiply eqn. 1 by 2 and eqn. 2 by 4
8x + 10y = −24 --> Eqn. 3
-8x + 12y = −64 --> Eqn. 4
Add to eliminate x
22y = -88
22y/22 = -88/22
y = -4
The y-value of the solution is: A. -4.
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Write your answer with no spaces and any friction with “/“
Answer:
y=-5/3x+1
Step-by-step explanation:
The answer is y=-5/3x+1 because you would do the exact opposite of rise over run where it rises 5 units up and 3 units shifted right but instead it is still 3 units that are shifted to the right but 5 units down. We can also assume that the y-intercept is 1 based on where the slope is placed.
Robert bought two movie tickets for $10. Deion spent $20 on 4 movie tickets.
please help me ‼️
Answer:
Your answer is 5$ because robert bought 2 tickets for 10$ but Deion spent 20$ on 4 tickets so if we divide 20 by 4 then the answer will be 5.
Answer:
Step-by-step explanation:
5 dollars per movie ticket
Please and thank you
Which example shows the Identity Property of Multiplication?
26 +0= 26
26•0=0
26•1= 26
26-26 = 0
Answer:
26 times 1
Step-by-step explanation:
because its multiply
Answer:
It’s 26
Step-by-step explanation:
26 is used in each equation resulting in either 26 or 0
Which of the following is listed from smallest to largest? Possible answers are,
A 1/2,4/9,7/18
B 4/9,7/18,1/2
C 7/18,4/9,1/2
D 7/18,1/2,4/9
Answer:
Step-by-step explanation:
What is the radius of a hemisphere with a volume of 6466 to the nearest tenth of a meter?
Answer:
14.6m
Step-by-step explanation:
volume of a hemisphere = (2/3)πr3
Therefore r = Cube root of ( Volume * 3/2 * 1/ pi)
r = cube root ( 6466 * 3/2 * 1/ π)
r = 14.56
in the nearest tenth of a meter = 14.6 m
4x + 6 = 42
Whats the answer to this
Say you have 47,964 blocks. For every 4 yellow blocks, you have 1 orange block. For every 4 orange blocks, you have 1 red block. For every 2 yellow blocks, you have 3 blue blocks. How many of each color block do you have?
Please show steps I'm horrible at multiple-ratio problems
Using proportions, the amounts you have of each block are given as follows:
Blue: 25,581.Yellow: 17,054Orange: 4,263.Red: 1,066What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct(when both increase or both decrease) or inverse proportional(when one increases and the other decreases, or vice versa), can be built to find the desired measures in the problem, or equations to find these measures.
From the amounts given, you can create the following ratio:
Blue : Yellow : Orange : Red
6 : 4 : 1 : 0.25.
Hence the fractions corresponding to each color are given as follows:
Blue: 6/(6 + 4 + 1 + 0.25) = 6/11.25.Yellow: 4/11.25.Orange: 1/11.25.Red: 0.25/11.25.Hence the number of blue blocks is found as follows:
6/11.25 x 47964 = 25,581.
The number of yellow blocks is given by:
4/11.25 x 47964 = 17,054.
The number of orange blocks is given by:
1/11.25 x 47964 = 4,263.
The number of red blocks is given by:
0.25/11.25 x 47964 = 1,066.
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Find the slope of the straight line that passes through the points (3, 1) and (7, 4). Does A or B in the graph represent the given line?
Answer:
- - 12 / 5
Step-by-step explanation:
Food revenue of a restaurant is 80% of the total revenue. Lunch revenue of the total revenue is
a.5/8
b.1/6
c.2/5
d.1/4
e.1/3
Answ2/er:
Step-by-step explanation:
Rewrite the equation below so that it does not have fractions.
3/4x+5=7/15
45x+ 272=0
given equation is 3/4x+5= 7/15
3/4x= 7/15 - 5
3/4x= (7- 75 )/15 LCM of 15 and 1 is 15
3/4x= - 68/15
x= (-68/15) *(4/3)
45x+ 272=0
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Solve (v + 7)2 +3 = 43, where v is a real number.
Round your answer to the nearest hundredth.
If there is more than one solution, separate them with commas.
If there is no solution, click on "No solution".
V =
No
solution
Х
Answer:
No
solution
Step-by-step explanation:
Step one:
given the expression
[tex](v + 7)^2 +3 = 43[/tex]
opening the bracket we have
[tex](v+7)(v+7)+3= 43\\\\v^2+7v+7v+49=43\\\\[/tex]
collect like terms
[tex]v^2+14v+49=43\\\\v^2+14v+49-43=0\\\\V^2+14v-6=0[/tex]
A family's monthly utility costs are: phone $200, electric $100, cable TV $100, water/gas $50, internet $50. By eliminating cable, by what percent does the family reduce total utility cost?
Answer: The total will drop by 20%