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
i’ll give u brainliest!!
what is the area of shape 1, 2 and 3
Answers
Answer:
Shape 1: 25.915
Shape 2: 102.85
Shape 3: 142
Step-by-step explanation:
For shape 1, you have to divide 7.1 to get half the width of the triangle. You get 3.55 from that, and then finding the triangle itself you have to do 7.3*3.55 to get 25.915. For shape 2, you first do the harder parts (the triangles) and since there is two of them we don't need to half the width of each triangle. But first to get the width, we need to do 20-17.4=2.6. But since there are 2 triangles we need to divide that by 2 to get 1.3. Then you multiply that by 5.5 to get the final area of both triangles which is 7.15. Next you simply find the rectangle which is 17.4*5.5=95.7. You add the triangles area to get 102.85. Finally for shape 3 you simply do 7.1*20=142.
Answer:
after u get ur answers, u add up all the numbers to get ur total
Step-by-step explanation:
Why does the narrator state that taking the road less traveled has made all the difference?
Answers
Answer:
See below
Step-by-step explanation:
The phrase itself is a famous few lines extracted from "The Road Not Taken" by poet Robert Frost. The statement "taking the road less traveled" means that someone is acting independently, freeing themselves from the conformity of others (who choose to take 'the road more often traveled.'), generally making their own choices, and perhaps leaving a new trail that will become the road more often traveled
Hayden had 2 1/2 gallons of water in his watering can. The seed packet said to use 1/4 of a gallon for peppers and 5/8 of a gallon for tomatoes. Hayden then used some of the water for lettuce. If Hayden had 3/4 of gallons of water left, how much water did he use for lettuce?
Answers
Answer:
he used 3\4 im guessing
Step-by-step explanation:
Answer:
Around 7/8 of a gallon
Step-by-step explanation:
Amy want to buy a desk. The original price is 60$. It is on
sale for 10%. How much will amy save?
Answers
Answer:
20.40
Step-by-step explanation:
Answer:
10 dollars. I think.
Step-by-step explanation:
can someone help me with this
Answers
Plz mark me Brainly
solve for n -4.2n-1.7=2.08
Answers
Answer:
n= -0.9
Step-by-step explanation:
-4.2n-1.7=2.08 ( move the constant to the right)
-4.2n = 2.08 + 1.7( calculate)
n = -0.9
Would the answer be 8?
Answers
Answer:
Step-by-step explanation:
yes i think so because from point d to point s it’s 4 and then from a to l it’s the same length so i do think it would be 8. 4+4 is 8
ummmmmmmmmmmmmmmmmmmmmmmmmm help pls
Answers
Answer:
[tex]\displaystyle m=\frac{-5}{2}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Slope Formula: [tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]Step-by-step explanation:
Step 1: Define
Find points from graph.
Point (2, 2)
Point (4, -3)
Step 2: Find slope m
Simply plug in the 2 coordinates into the slope formula to find slope m
Substitute [SF]: [tex]\displaystyle m=\frac{-3-2}{4-2}[/tex]Subtract: [tex]\displaystyle m=\frac{-5}{2}[/tex]Expand and simplify 5(2x-1)-2(3x+2)
Answers
Answer:
4x - 9
General Formulas and Concepts:
Pre-Algebra
Distributive PropertyAlgebra I
Terms/Coefficients/DegreesStep-by-step explanation:
Step 1: Define
5(2x - 1) - 2(3x + 2)
Step 2: Solve for x
Distribute: 10x - 5 - 6x - 4Combine like terms (x): 4x - 5 - 4Combine like terms (Z): 4x - 9Quick Pleaseee helpp
When is substitution method easier to use than graphing method!!!!
Answers
Answer:
When you do not have a graph paper
or
one of the equations has an isolated variable
or
when the equations are not in slope intercept form
Help! Show work! Triangle PQR ≅ Triangle XYZ
PQ = 3a + 4 and XY = 5a – 12. Find a and PQ.
Answers
Answer:
a= 8 and PQ= 28
Step-by-step explanation:
since triangle XYZ and triangle PQR are congruent, we will write the equation like this:
PQ=XY
3a+4= 5a—12
3a—5a= —12—4
—2a= —16
a= 8
SUBSTITUTE THE VALUE OF A IN THE EQUATION TO GET THE VALUE OF PQ
PQ= 3a+4
PQ= 3(8)+4
PQ= 24+4
PQ= 28
simplify 3 to the 2nd power + 1 x 2
Answers
Answer: The answer is 20
Step-by-step explanation:
[tex]\huge\text{Hey there!}[/tex]
[tex]Equation:[/tex]
[tex]\rm{3^2 + 1\times 2}[/tex]
[tex]Simplifying:[/tex]
[tex]\rm{3^2 + 1\times 2}[/tex]
[tex]\rm{= 3\times 3+ 1\times 2}[/tex]
[tex]\rm{= 9 + 1\times2}[/tex]
[tex]\rm{= 9 + 2}[/tex]
[tex]\rm{= 11}[/tex]
[tex]Therefore, your\ answer\ should\ be:[/tex]
[tex]\huge\boxed{\frak{11}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
Write an equation of the line with a slope of
-
and y-intercept of -6.
y
Answers
Answer:
Y = mX+C
Y =mX-6
Y =m(0)-6
Y = -6
the line passes through origin so
X=0
(0,6)
HELP HELP HELP
{TRUE OR FALSE}
a rational fraction is not defined for the values of x that make the denominator zero
Answers
Answer:
ture
Step-by-step explanation:
anything that divide by 0 is not defined.
A baseball player reaches first base 3 out of 10 times he is at bat. If the baseball player bats 80 times, about how many times will the player reach first base?
Answers
Answer:
I think the answer is 24.
Step-by-step explanation:
I think the answer is 24 because if the baseball player hit the bat and ran the base 3 out of 10 times, then you would multiply 8 x 3 to get 24 out of 80. I don't know if this is the correct answer, this is just what I think it may be.
Find the value of x.
Answers
Answer:
81 degrees
Step-by-step explanation:
Step-by-step explanation:
Here,
X+128+100+51=360
X+279=360
X=360-279
:.x=81
I NEED HELP WIT MATH!!!!!!!!!!
Answers
x -int. -6
basically you just take the number beside x or y and divide it by the number that is behind the equal sign.
Answer:
x-intercept= -6 & y-intercept = 8
Step-by-step explanation:
To find the intercepts you just have to put the opposite value as 0 in the equation.
X-intercept:
-4x + 3(0) = 24
Y-intercept:
-4(0) + 3y = 24
Everything times 0 is 0, so it cancels out.
Then it is just simple dividing.
Future reminder:
Just remember this (x,y)
-X-intercept point (?,0)
-Y-intercept point (0,?)
? = any number
Find the surface area of this net
Answers
Answer:
SA: 231
Step-by-step explanation:
8(12) + 2(5(12)) + 5(3)
96 + 120 + 15 = 231
I hopoe I helped you ;)
What is the equation of a line with slope 4 and passes through point (4,2)?
Answers
Answer:
y = 4x - 14
Step-by-step explanation:
Use point-slope form and substitute the values.
y - 2 = 4(x - 4)
y - 2 = 4x - 16
y = 4x - 14
For the following right triangle, find the side length x.
Answers
Answer:
x = 17
Step-by-step explanation:
Since its a right triangle, you can use Pythagorean Theorem.
8² + 15² = x² (Given)
64 + 225 = x² (Simplify)
289 = x² (Add like terms)
17 = x (Square root both sides)
ples show work- kskskskskskksksksk
Answers
Answer:
61
Step-by-step explanation:
8-(36/9)+99-(6x7)
8-4+99-42
4+57
Answer:
11
Step-by-step explanation:
For this, we need to follow PEMDAS (Parenthesis, exponent, multiply/divide, add/subtract). First, we do the parenthesis, this gets us 8 - 4 + 49 - 42. Since this is all addition/subtraction, we do it from left to right. 8-4 is 4. Now our equation is 4 + 49 - 42. 4 + 49 is 53. Now our equation is 53 - 42. That is 11. That means our answer is 11.
PLZ HELP ASAP!! Thanks!
Answers
What question can you never honestly answer yes to?
Answers
Answer: DO YOU LIKE SOMEONE? AND THAT IS MY QUESTION I CAN NEVER ANSWER :) :P
Step-by-step explanation:
Which expression equals 2??
2.2.2.2.2.2.2
O 2+2+2
2 + 2 + 2 + 2
O 2+7
O 2.7
Answers
Answer:
That doesn't make sense to me but what does O means?
Step-by-step explanation:
Well maybe its 2.2.2.2.2.2.2
Answer:
if ur rounding then its 2.2.2.2.2.2.2
Step-by-step explanation:
What’s the solution for k/2=4
Answers
Answer: k=8
Step-by-step explanation:
k/2 = 4
k = 4 x 2
k = 8
Check: 8/2=4
Answer:
[tex]k=8[/tex]
Step-by-step explanation:
[tex]\frac{k}{2} = 4[/tex]
Multiply both sides by 2 to isolate k
[tex]\frac{k}{2}(2) = 4(2)\\k=8[/tex]
I hope this helps!
the diameter of a sold spherical ball is 35cm, Find its the surface area and the volume
Answers
Answer:52
Step-by-step explanation:
Please help! I think I know the answer but I don't trust myself xD (Theres a screenshot attached)
Answers
Answer:
the second one
Step-by-step explanation:
The last one
Explanation:
-7 times 2 will be -14 and -7 times 5d would be -35d which is exactly what they ask for
PLEASE HELP ME
Factor the quadratic equation x2 + 2x – 15 into the following format: (x + a) (x -b)
Answers
Answer:
(x+5) (x-3)
Step-by-step explanation:
5 times -3= -15
5 + -3 = 2
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
help me im so sad determine the values of X for which f(x) is defined
Answers
Answer:
[tex]f(x) = \frac{(2x - 1)(3x - 2)}{9x - 4} \\ open \: brackets \\ = \frac{(6 {x}^{2} - 4x - 3x + 2) }{9x - 4} \\ = \frac{6 {x}^{2} - 7x + 2 }{9x - 4} \\ let \: x \: be \: 1 \\ f(1) = \frac{(6 - 7 + 2)}{(9 - 4)} \\ = \frac{1}{5} [/tex]