Answer:
[tex](f \cdot g)(x)[/tex] = [tex]2x^2 -1[/tex]
Step-by-step explanation:
[tex](f \cdot g)(x)[/tex], read as "f of g of x", means we have to use the function [tex]\bf g(x)[/tex] as input for the function [tex]\bf f(x)[/tex]. This means, we have to replace the [tex]x[/tex] in the definition of [tex]f(x)[/tex] with [tex]g(x)[/tex].
[tex]f(x)=x+3[/tex]
[tex]g(x) = 2x^2 - 4[/tex]
∴ [tex](f \cdot g)(x) = f(g(x))[/tex]
⇒ [tex]g(x) + 3[/tex]
⇒ [tex](2x^2 - 4) + 3[/tex]
⇒ [tex]2x^2 -1[/tex]
What equivalent ratio to 5:15?
Answer:
10 : 30
Step-by-step explanation:
Answer:
10:30
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6 grade math pls help and do step by step
Answer:
14
Step-by-step explanation:
13-2=11 then 11x 3 =33 then 33-25=8+=14
Answer:
Step-by-step explanation:
PEMDAS is going to be your best friend bud. It stands for Parenthesis, Exponents, Multiplication/Division, Addition/Subtraction. This is the order you will use for all problems like this in the future. Start by solving everything inside the parenthesis.
6+3(11)-5^2=?
Now that all the parenthesis are gone we move on to exponents.
6+3(11)-(5*5)=?
6+3(11)-25=?
Now that all exponents are gone we solve for multiplication and division, whichever comes first when reading from left to right.
6+33-25=?
The final step is to add and subtract from left to right.
Hope this helps!
Explain the two ways we can find the slope from an equation written in STANDARD FORM. Which way is more convenient and WHY?
Answer: Derivative or y = mx + b
Step-by-step explanation:
Take the m value from the standard form equation:
y = mx + b
Or, the second way, is to take the derivative of the function and plug in your x value for your slope.
The derivative of a linear function is very easy to take, so it boils to preference
A regular price bathing suit is $89.99. What is the new price if it on sale for 25% off the regular price?
Answer:
$67.49 and 1/4 of a cent
Step-by-step explanation:
25% of 89.99 = 224975
89.99-22.4975=67.4925
Answer:
25%=1/4 1/4 of 90= 22.5 90-22.5=67.5
Step-by-step explanation:
pa^2 + qb^2 + pb^2 + qa^2
Answer:
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Word problem please help thank you
Answer:
The equation would be P(t) = 280t + 3310
The estimated number of moose in 2008 would be 8350 moose.
Step-by-step explanation:
First we will have to find out by how much will the number of moose increase each year. In order to do that we the number by which the population of moose increase, by the difference between 1991 and 1999. And so we get...
[tex]\frac{5830-3590 }{1999 - 1991} = \frac{2240}{8} = 280[/tex]
Now that we know by how much the number of moose increases each year, we can make the following equation...
Let "t" be the number of years from 1990, then...
P(t) = 280t + 3310
(if you are wondering why is it 3310, it is because you have to put in the number of moose that was there in 1990 and you can get that number by substracting 280 from the number of moose in 1991).
Based on the linear relation we figured out, the number of moose in 2008 would be predicted to be...
P(t) = 280t + 3310
P(2008 - 1990) = 280(2008 - 1990) + 3310
P (18) = 280(18) + 3310
P(18) = 8350
21 x 15 = (20 + 1) x 15 =
Answer:
hello! have a good day!
21 x 15 = (20 + 1) x 15 = 315
what is the range of the function f(x) = -2|x+1|? QUICK PLEASE ITS A TIMED TEST
HELP ......,,,,,...,,.....
Answer:
6. Not similar.
7. Not similar.
8. Not similar.
Step-by-step explanation:
6. Reduce all ratios to simplest form 16:20 = 4:5 ; 12:15 = 4:5 ; 20:26 = 10:13 not all of the sides follow the same ratio, so the triangles are not similar.
7. None of the side lengths are shown. You can find the missing angles of the triangle however, only one of the angles is congruent to the other, so the triangles are not similar.
8. We know that 2 of the sides of each triangle are congruent, and the angle in between the sides are also congruent, which follows the SAS similarity conjecture. However, given that the sides are congruent, not similar in ratio, I can conclude that the triangles are congruent, not similar.
PS. It would mean the world to me if you could mark me brainliest!
Side note- I am not a professional, I just have done this a few months in the past! Best of luck!
3(6+b)-(2b +1)
Simplify the expression
Step-by-step explanation:
3(6+b)-(2b+1)
=18+3b-2b+1
=18+1+3b-2b
=19+b
6p² equals to..................
Answer:
36p is the correct answer
Can you please help me
Step-by-step explanation please
Answer:
x=9
Step-by-step explanation:
It’s a ratio.
2/6=5/(6+x)
cross-multiply
12+2x=30
2x=30-12
2x=18
x=9
Or even more simply:
2/6=3/x
2x=18
x=9
What is the volume of the triangular prism to the nearest whole unit.
Answer: 720ft
Step-by-step explanation:
15 x 3=45
45 x 16= 720
Hope this helps
7. Look at the picture.
There are designated walkways for people at this beach. Why are these walkways constructed?
A) To keep people away from the other animals that live there.
B) To beautify the beach area in order to attract more tourists.
C) To protect the people, especially children, who visit the beach.
D) To protect sand dunes from foot-traffic that contributes to erosion.
Answer:
A
Step-by-step explanation:
Walkways are constructed to keep people away from the other animals that live there. Therefore, the correct option is option A.
What is walkway?In American English, "walkway" refers to any artificial surface or building that facilitates the use of trails. A walkway is described as "a tunnel or path for strolling along, especially. a raised hallway connecting separate sections of such a building or perhaps a wide path inside a park or garden" in the New English American Dictionary.
In New Zealand, wherein "walkways vary significantly in nature, between short urban strolls, to easy seaside areas, to demanding tramps in the high country [mountains]," the word is used to designate a footpath. Walkways are constructed to keep people away from the other animals that live there.
Therefore, the correct option is option A.
To know more about walkway, here:
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Stephen Simmons received a single payment loan for a loan for $6,200. he agreed to repay the loan and 160 days at an interest rate of 10% ordinary interest. What is the maturity value of his loan when he pays it back in 160 days. 
9514 1404 393
Answer:
$6475.56
Step-by-step explanation:
The maturity value is ...
A = P(1 +rt)
where P is the principal amount, r is the annual rate, and t is the number of years. For ordinary interest, a year is 360 days, so the number of years is 160/360 = 4/9.
The loan value is ...
A = $6200(1 + 0.10×4/9) ≈ $6475.56
Stephen's loan has a maturity value of $6,475.56.
Please help this is due today!
Calculate the unknown missing angle measures.
Do not answer this with one answer ,blank, or a ridiculous answer.... this is serious please.
Answer:
well it is a right trianlg that means that the first side is 90 degrees
and the other two sides are 45 because they look the same angles so 180 minus 90 = 90 divide that by 2 to get 45
Step-by-step explanation:
Solve for x 4(2x+3)
I’ll mark brainlyest
Answer:
=2x5+3x4 plus brainliest please
Step-by-step explanation:
=(x4)(2x+3)
=(x4)(2x)+(x4)(3)
=2x5+3x4
Answer:
You cant solve it because its an expression but below is the expression simplified if you put the equal thing I will edit it to make it correct
Step-by-step explanation:
4 x 2x = 8x
4 x 3 = 12
8x + 12
pablo will rent a car for the weekend. he can choose one of two plans. the first plan has an initial fee of $55.96 with additional costs of $0.12 per mile driven. the second plane has an initial fee of $63.96 and costs an additional $0.08 per mile driven. how many miles does pablo drive to make the miles the same?
Answer:
200 miles
Step-by-step explanation:
63.96+(.08x)=55.96+(.12x). x=200. 63.96+(.08x200)=79.96. 55.96+(.12x200)= 79.96
Answer:
your the one
Step-by-step explanation:
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if a Biro costs 12.50naira. How many biros can buy with 300 naira?
Answer:
300\12.50
Step-by-step explanation:
that will be your answer bra
round 5/8 to the nearest whole number
please tell fast plzzzzzz
Step-by-step explanation:
1x+4x=180(sum of supplementary angles)
5x. =180
x. =180/5
x. = 36
Divide 81/20 how to divide please give step by step explanation
Hi there!
[tex]81*20=4\frac{1}{20}[/tex]
Let see how much 20 goes into 80:
[tex]20,40,60,80[/tex]
That would be 4 time...
Subtract terms with terms:
[tex]81-80=1[/tex]
Remainder would be 1.
Convert term into fraction:
[tex]\frac{1}{20}[/tex]
Final Result:
[tex]4\frac{1}{20}[/tex]
A clubs first meeting was attended by 2 people. The second meeting was attended by 4 times as many people as the first meeting. How many people attended the second meeting?
Answer:
The answer would be 8 people attended in the second meeting.
Step-by-step explanation:
Multiply 2 by 4 to get 8.
What expression simplifies to 2i ? help asap lots of points
Answer:
Step-by-step explanation:
First, consider the following expression.
(6x + 8) + (4x + 2)
To simplify this expression, you combine the like terms, 6x and 4x. These are like terms because they have the same variable with the same exponents. Similarly, 8 and 2 are like terms because they are both constants, with no variables.
(6x + 8) + (4x + 2) = 10x + 10
A polygon is shown below.
26 cm
U
12 cm
1.
26 cm
X W
16 cm
Y
7 cm
What is the area of polygon TUVWXYZ?
O A 87 cm
O B. 120 cm
O C. 468 cm2
OD. 494 cm2
I still haven't reached that exercise, sorry
Use this model to calculate
3/8 times 2/6
A.16/18 B.13/24 C.6/48 D5/48
Answer:
Step-by-step explanation:
i do not see any model, but the answer is
3/8*2/6=6/48
The solution of the expression 3/8 times 2/6 is,
⇒ 6/48
What is Multiplication?To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.
Given that;
The expression is,
⇒ 3/8 times 2/6
Now, We can simplify as;
⇒ 3/8 times 2/6
⇒ 3/8 × 2/6
⇒ 6/48
Thus, The solution of the expression 3/8 times 2/6 is,
⇒ 6/48
Learn more about the multiplication visit:
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What is the answer to n/4 = -9
Answer: n=-36
Step-by-step explanation:
Answer:
-36
Step-by-step explanation:
n/4=-9
Can be rewritten as
n/4 x 4 = -9x4
simplify
n=-36
The zoo charges $14.50 for each visit, or you can buy a membership for $100
Answer:
Step-I’m going to need more information
Answer:
ill rather buy the membership
Step-by-step explanation:
Because its less money for more times to go to the zoo.
Find the volume of the sphere below in terms of pi? Round to the nearest tenth
8 cm
Answer:
B
Step-by-step explanation:
Answer:
b) 682.7
Step-by-step explanation:
4/3 π r3
1.33 x π x (8x8x8)
1.33 x 512 x π
681 . 9 π cm3 (round it to nearest tenth) = 682.7
Find the area of the kite.
Area=
(Simplify your answer)