Answers
Answer:
a) [tex]\mathbf{ f(g(x))=x+2\sqrt{x} +1}[/tex]
b) [tex]\mathbf{f(g(9))=16}[/tex]
Step-by-step explanation:
We are given:
[tex]f(x)=(x-2)^2\\g(x)=\sqrt{x} +3[/tex]
We need to find [tex]a) f(g(x))\\b) f(g(9))[/tex]
a) First finding: [tex]f(g(x))[/tex]
It can be found by putting the value of g(x) into f(x)
We are given:
[tex]f(x)=(x-2)^2\\Put\:x=g(x)\:i.e. \: x= \sqrt{x} +3\\f(g(x))=(\sqrt{x} +3-2)^2\\Now\: solving:\\f(g(x))=(\sqrt{x} +1)^2\\Using\:formula\:\mathbf{(a+b)^2=a^2+2ab+b^2}\\f(g(x))=(\sqrt{x})^2+2(\sqrt{x} )(1)+(1)^2\\ f(g(x))=x+2\sqrt{x} +1[/tex]
SO, we get: [tex]\mathbf{ f(g(x))=x+2\sqrt{x} +1}[/tex]
b) Now finding: [tex]f(g(9))[/tex]
It can be found by putting x=9 in f(g(x))
We have:
[tex]f(g(x))=x+2\sqrt{x} +1\\Put\:x=9\\f(g(9))=9+2\sqrt{9}+1\\We\:know\: \sqrt{9}=3\\ f(g(9))=9+2(3)+1\\f(g(9))=9+6+1\\f(g(9))=16[/tex]
So, we get: [tex]\mathbf{f(g(9))=16}[/tex]
Related Questions
HELP ASAP ILL GIVE U BRAINLEST
Answers
Answer:
c=0.79s
I hope this helps:
7.11/9=0.79
What is the equation of the line?
A) y=34x−1
B)y=34x+1
C)y=43x−1
D)y=43x+1
Answers
Answer:
B
Step-by-step explanation:
not so sure but see if this is correct
Solve this one step equation.
5x = 13
help please
Answers
0.4 times 0.59
sgaehags
Answers
Answer:
0.236
Step-by-step explanation:
Multiply 0.4 by 0.59
hopes this helps have a good day :) <3
brainlest???
find the base (picture attached)
Answers
Answer:
12 yd
Step-by-step explanation:
yo yo yo hi hi hi hi hi
so b*h=96
so 8b=96
b=12
please answer do not answer if u don't know the answer
Answers
Answer :x=3 y=7 (3,7)
Step-by-step explanation: I took algebra last year and I answered your question earlier.
I'm stuck and I need help quick
Answers
Answer:4
Step-by-step explanation:
The square root of 9 is 3, 3 multiplied by 2 is 6, and 10 - 6 =4.
What is the equation of the following line written in general form?
y
(4.5)
(1,2)
.
Oy -x +1 = 0
Ox-y+1=0
O-X-y+1=0
Answers
Answer:
x-y+1 = 0
Step-by-step explanation:
Replace x & y of each coordinates into the function then you'll get the answer.
Which of these describes the function graphed below
Answers
Answer:
B
Step-by-step explanation:
A rectangular book measures 8 X 10. What is the length of its
diagonal?
Answers
Answer:
Length of the diagonals is[tex] \sqrt{ {8}^{2} +{10}^{2} } = \sqrt{64 + 100} = \sqrt{164} =2\sqrt{41}\\ =\boxed{12.8\: units} [/tex]
12.8 units is the right answer.The diagonal length of the rectangular book is 12.8 units.
What is rectangular?A rectangle is "four sided polygon, having all the internal angles is equal to 90 degree. The two sides of each corner is right angles".
According to the question,
The length of rectangle is 8 units and the breadth of rectangle is 10 cm.
To find diagonal of the rectangle: Using Pythagoras theorem a² + b² = c².
c = [tex]\sqrt{a^2 + b^2}[/tex]
= [tex]\sqrt{8^2 + 10^2}[/tex]
= [tex]\sqrt{64 + 100}[/tex]
= [tex]\sqrt{164}[/tex]
= 2[tex]\sqrt{41}[/tex]
= 12.8 units
Hence, the diagonal length of the rectangular book is 12.8 units.
Learn more about rectangle here
https://brainly.com/question/17043608
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can some help me with this!!
Answers
Answer:
3
Step-by-step explanation:
[tex] | - 3| = 3[/tex]
Hope it helps you in your learning process.
the answer is 0.30 your welcome
Pls help 25 only and brainlist
Answers
Answer:
2x+2
Step-by-step explanation:
Perimeter = 2 * width + 2 * length
12x+10 = 2(4x+3) + 2 * width
12x+10 = 8x + 6 + 2w
4x+4 = 2w
2x+2 = w
2x2= 3x5= 8nsjddjdkdjd
Answers
Answer is 19
Step-by-step explanation:
Answer:
What??
Step-by-step explanation:
An item is regularly priced at $15. Kala bought it on sale for 75% off the regular price find out how much Kalla paid
Answers
Answer:
$11.25
Step-by-step explanation:
you take 75% of 15
Answer:
11.25
Step-by-step explanation:
because I used a calculator
Which expression is equivalent to the equation?
Answers
Answer:
Option 1
Step-by-step explanation:
The given equation equals 3072, so find the other equation that equals 3072.
Option 1 = 3072 - correct
Option 2 = 432 - wrong
Option 3 = 2883 - wrong
Option 4 = 432 - wrong
I hope this helps!
Sarah‘s mother is 28 years older than Sarah is their combined age is 50 how old is Sarah how old is Sarah‘s mom
Answers
Answer: 39 years old
Step-by-step explanation:
First find Sarah's age.
It is said that their ages sum up to 50 and that Sarah's mother is 28 years older than Sarah.
Assume Sarah's age is x.
Sarah's mother's age would be: x + 28.
The expression would therefore be:
x + (x + 28) = 50
2x + 28 = 50
2x = 50 - 28
x = 22/2
x = 11
Sarah is 11 which means her mom is:
= 11 + 28
= 39 years old
Hey, I don't want to bother anyone but could someone help me fill in the angle of x?
Answers
Answer:
x = 90°Step-by-step explanation:
diagonal line = 180 = x + 90
180 - 90 = x
90 = x
therefore, x = 90°
Consider the graph of the linear equation 2x - 5y = 10.
x-intercept=
y-intercept =
slope=
Answers
Answer:
x-intercept= (5,0)
y-intercept= (0,-2)
Slope= 2/5
Step-by-step explanation:
Fred buys 6 pizzas. Each pizza is cut into 3 than z slices. How many total slices are there?
Answers
Answer:
I think it's 18z slices, please tell me if i'm wrong!
Step-by-step explanation:
6*3 = 18
18*z = 18z
I think it's 18z slices, please tell me if i'm wrong!
Square describe it in your own words.
Answers
Answer:
square is a geometrical figure have all side equal .
Help needed ASAP. Will give Brainliest.
Answers
Answer:
The answer is C, 296. 73
Step-by-step explanation:
Top Surface Area = π×4.52
= 63.617251235193 inches2
Bottom Surface Area = π×4.52
= 63.617251235193 inches2
Lateral Surface Area = 2π×4.5×6
= 169.64600329385 inches2
Total Surface Area = 296.88050576424 inches2
What is the slope for the points (0,5) and (2,13)?
Answers
24 x 16 =
I need help with this please help
Answers
Answer:
=384
Step-by-step explanation:
Two athletes Or training over a two week period to increase the number of push-ups each can do consecutively . Athlete a can do 16 push-ups to start and increase his total by each to each day. Athlete b can do 12 push-ups to start an increase he's so tall by three each day. Compare the initial values for each what does the initial value mean in the situation
Answers
Answer:
Initial values of Athlete a and b is 16 and 12 respectively. That means, Athlete a start with more push-ups as compared to athlete b
Step-by-step explanation:
Athlete a perform 16 push-ups to start and increase 1 push-up each day for 14 days
⇒ number of push-ups at the end of x days is for Athlete A is
n = number of push-ups for athlete A= 16 + x
Athlete b perform 12 push-ups to start and increase 3 push-up each day for 14 days
⇒ number of push-ups at the end of x days is for Athlete B is
m = number of push-ups for athlete B = 12 + 3x
where x is the number of days
thus, total number of athletes at the end of 14 day is
n = 16+14 = 30 push-ups for athlete A and m = 12 + 42 = 54 push-ups for athlete B at the end of 14th day
Now similarly for the initial day x = 0
thus, total number of athletes at the starting of 1st day is
n = 16+0 = 16 push-ups for athlete A and m = 12+0 =12 push-ups for athlete B at the starting of 1st day.
That means, Athlete a start with more push-ups as compared to athlete b, But at the end of 14th day Athlete b do more push-ups then athlete a
Answer: The initial value for Athlete A is greater.
Pay attention for the keyword initial value.
I got no explanation D:
Given KW is perpendicular to JO, JP is perpendicular to KO, KN intersects with JP=Q. Prove that triangle OKW ~ triangle OJP
Answers
Answer:
Proved
Step-by-step explanation:
m∠JPO = 90 = m∠OWK, and angle O is common between both triangles [reflexive property]. Therefore by Rule AA, ΔOKW~ΔOJP
Triangle OKW similar to triangle OJP by angle-angle or AA or ΔOKW ~ ΔOJP by AA.
What is the similarity law for triangles?It is defined as the law to prove that the two triangles have the same shape, but it is not compulsory to have the same size. The ratio of the corresponding sides is in the same proportions and the corresponding angles are congruent.
Please refer to the attached picture for the diagram.
We have:
KW is perpendicular to JO, JP is perpendicular to KO.
KN intersects with JP=Q.
From the figure:
Angle JPO =Angle OWK = 90 degrees
By using the reflexive property:
Angle O = Angle O
Thus, triangle OKW similar to triangle OJP by angle-angle or AA or ΔOKW ~ ΔOJP by AA.
Learn more about the similarity of triangles here:
brainly.com/question/8045819
#SPJ2
you have an intial amount of $45 in a savings account and you deposit an equal amount into the account each week. After 5 weeks the account holds $105. Write an equation that repersents the amount y (in dollors) of money in the account after x weeks
Answers
Answer:
$45 * X weeks = Y money
Step-by-step explanation:
Steve’s baseball team played 33 games and won 15 of them. What percent did the team win? *
Answers
Answer:
Approximately 45%.
Step-by-step explanation:
We know that Steve's team played in total 33 games. Out of the 33, they won 15 of them.
So, as a fraction of the total won over the total games, we can write:
[tex]\displaystyle\frac{15}{33}[/tex]
So, by dividing, the percent the team won is:
[tex]\displaystyle\frac{15}{33}=0.\overline{45}=0.454545...\approx0.45=45\%[/tex]
The team won approximately 45% of its games.
Your answer will be gladly appreciated!I will mark the brainiest!
Find the value of each variable
Answers
Answer:
x=70 y=110 z=30
Step-by-step explanation:
Tim wants to buy several pairs of jeans. He compares the prices at a store in his neighborhood and at an online store. He finds that a pair of jeans costs $24 at the local store. If he buys online, each pair would cost $22, and he would have to pay a shipping fee of $6 per order.
Answers
Answer:
2 orders
Step-by-step explanation:
Step one:
given data
The local store sells at $24 per pair of jeans
Cost = $24
The online store sells at $22 per pair plus a shipping fee of $6 per order
let the number of orders be x
Cost= 22+6x
For 1 order
the online store will cost
Cost= 22+6*1
Cost= 22+6
Cost= $28
For 2 orders
The local shop cost
Cost= 24*2= $48
The online store will cost
Cost= 22+6*2
the online store will cost
Cost= 22+12
Cost= $34
Hence Tim should place at least 2 orders if he wants to buy online
Answer:
# of orders is 2 ORDERS!!!
Step-by-step explanation:
I hope this helps!!!
Which is greater A or B
Answers
Answer:
I'ma assume B because it's the only graph I see