If f(x) = x2 + 3x and g(x) = x + 2, find (f ∘ g)(x) and (g ∘ f)(x).
Answer:
(f ∘ g)(x) = x²+7x+10
(g ∘ f)(x) = x²+3x+2
Step-by-step explanation:
(f ∘ g)(x) = f(g(x)) = f(x+2) = (x+2)² + 3(x+2) = x² + 4x + 4 + 3x + 6 = x² + 7x + 10
(g ∘ f)(x) = g(f(x)) = g(x²+3x) = (x²+3x) + 2 = x² + 3x + 2
Make sure to review composite functions
If you could please help, what is the missing answer?
Thank you to anyone who helps out!
Answer:
48
Step-by-step explanation:
let s be the snowman, g be the girl, and t be the christmas tree
2s+g=24
2t+2ts=132
3t+2g=26
subtract 2 times the first equation from the third one to get
3t-4s=-22
from the second equation we can deduce
2t(1+s)=132
t(1+s)=66
t=66/(1+s)
Substitute:
3(66)/(1+s)-4s=-22
3(66)/(1+s)=4s-22
3(66)=(4s-22)(1+s)
3(66)=-18s+4s^2-22
4s^2-18s-220=0
using the quadratic formula, we get s = 10, s = -5.5.
2(10)+g=24
g=4
2t(1+10)=132
2t=12
t=6
So 2s+t*g= 20+6*4=48
you would get a different solution for the negative s, but since snowmen cannot be negative, 48 is the answe.r
Help! What is 5 - x = 8
Answer:
x = -3
Step-by-step explanation:
hope this helps!!
You have an object with a mass of 5 kg. If it has a velocity of 4.7 m/s, what distance will the object travel if 98 newtons are applied to stop it?
69,420 ------------------------------------------------------------------------
A ____ has a positive charge.
Answer:
Proton
Step-by-step explanation:
The charge on the proton and electron are exactly the same size but opposite. Neutrons have no charge. Since opposite charges attract, protons and electrons attract each other.
Hope this helps you luv!
What is 68 million squared.
Answer:
4.624e+15
Step-by-step explanation:
I think this is the correct answer may be wrong
Answer:
4.761e+15
Step-by-step explanation:
What is an expression that is equivalent to 4 (2x-3) -3x.
Answer:
5x-12
Step-by-step explanation:
4(2x-3)-3x = 8x-12-3x=5x-12
Answer:
5x-12
Step-by-step explanation:
Find the hypotenuse of an isosceles right triangle when the legs each measure 3 square root of 2 inches.
Answer:
12
Step-by-step explanation:
3 square root of 2 equals 12
What are the advantages of using a table to find equivalent ratios?
What are the advantages of using a graph to find equivalent ratios?
Explain why you prefer a table or a graph to compare equivalent ratios.
The advantage of using a table to determine the equivalent ratio is that, it easier to determine the unknown ratio.
The advantage of using a graph to determine the equivalent ratio is that, it helps to determine the exact value of the unknown ratio.
The use of table to find equivalent ratio makes it easier to determine the unknown ratio. The unknown ratio can easily be determined using interpolation method, this method gives the approximate value of the unknown ratio.
The use of graph to find equivalent ratio helps to determine the exact value of the unknown ratio. This method gives the exact value of the unknown ratio.
The use of table is better because it minimizes error from tracing the values from the graph.
Learn more about equivalent ratio here: https://brainly.com/question/13513438
the square roots of 8 and 2
Answer:
4.82842712475
Step-by-step explanation:
hope you get it
It is 4.82842712475
I used a calculator
Find the center and radius of the circle x^2+y^2-10x-12y+45=0.
Answer:
The center is (5, -6) with a radius of r
Step-by-step explanation:
First put the equation in Standard Form for a circle:
(x + a)² + (y + b)² = r²
Now, Group the term
x² + y² - 10x - 12y + 45 = 0
x² - 10x + y² - 12y = - 45
Then, The x and y terms must be perfect squares
x² - 10x + 25 + y² - 12y + 36 = - 45 + 25 + 36
add constant both sides we get,
x² - 10x + 25 + y² - 12y + 36 = 16
Now, Simplify
(x - 5)² + (y + 6)² = 16
√(x - 5)² + (y + 6)² = √16
x - 5 + y + 6 = 4
Here, (a,b) = (5, -6) and r² = 16, with r = 4
Thus, The center is (5, -6) with a radius of r
-TheUnknownScientist 72
please help dont want to fail final exam
How much does she earn if she does not make any sales on a given day?
Question 7 options:
$75
$175
$0
$25
Answer:
$75 I think. Not 100% sure but like 95% sure :)
What are the domain and range of each relation?
Drag the answer into the box to match each relation.
Answer:i cant see it that well its blurry
Step-by-step explanation:
Answer:
The domain of the graph is {-3, -1, 1, 4}. The range of the graph is {-4, -1, 1, 4}
The domain of the set of ordered pairs is {-4, -3, 1}. The range of the set of ordered pairs is {1, 3, 4}
Step-by-step explanation:
Suppose you know the area of the yard is 7,500 square feet. How can you find the value of a?
—help and it comes with a picture
Answer:
a = 50
Step-by-step explanation:
From the introduction, you know that the area is 3a^2
You also know that it is 7500 square feet. \
So the two must be equal
3a^2 = 7500 Divide by 3
a^2 = 7500/3
a^2 = 2500
The square root of 2500 is 50
sqrt(a^2) = sqrt(2500)
a = 50
I really need help pls!!!
Answer:
Option 1
Step-by-step explanation:
To find the slope divide Mass (y) by Volume (x)
hey hey u guyss 60 pointsss
-6.1(-4.1) +6.8=
btw hurry im timed plss :)
Answer:
31.81
Step-by-step explanation:
-6.1 * -4.1 = 25.01
+ 6.8 = 31.81
Answer:
31.8
Step-by-step explanation:
I will assume that
"-6.1(-4.1) +6.8="
means (-6.1)*(-4.1) +6.8=
(-6.1)*(-4.1) = 25
25 + 6.8 = 31.8
What integer $x$ satisfies $\frac{1}{4}<\frac{x}{7}<\frac{1}{3}$?
If 1/4 < x/7 < 1/3, then
7/4 < x < 7/3
1.75 < x < 2.333…
so that x = 2.
If f(x)=3x+2 and g(x)=x2−x, find the value. f(x)+1
Answer:
F(x) +1 = 3x+3
Step-by-step explanation:
F(x)+1= 3x+3
if -5 is less than 0 what is the opposite of -5?
A. 0
B. 8
C. 5
D. 25
Answer: opposite of -5 is positive 5 so it’s choice C
Answer:
it’s choice C
Step-by-step explanation: hope this helps bestie
Evaluate (35 = x)
2 when x = 7
O A. 3
O B. 7
O c. 5
O D. 26
I will give brainiest points
Answer:
the answer : a
equation : 35 = x
35 = 7
35/7 = 5
5-2 = 3
Hey there!
(35 ÷ x) - 2
= (35 ÷ 7) - 2
= (5) - 2
= 5 - 2
= 3
Therefore, your answer is: Option A. 3
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
3 How is the value of 2 - 3 like the value of 3 - 2? How is it different? -
Answer:
They are not diffrent at all. may look diffrent from the question but lets look a little closer!
Step-by-step explanation:
2-3=1 and 3-2=1 both answers look the same because the equion is Both 3s in 3-2 and 2-3 looks no diffrent. To be honest one is only backwords from the other one! But remeber to think BIG and look at those diffrentses.
simplify expression
3+2+y+y
Answer:
2y + 5
Step-by-step explanation:
I hope this helps!
Hey there!
3 + 2 + y + y
= 3 + 2 + 1y + 1y
COMBINE the LIKE TERMS
= (3 + 2) + (1y + 1y)
= 5 + 2y
= 2y + 5
Therefore, your answer is: 2y + 5
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
can someone help me with this
Answer:
Step-by-step explanation:
Allison buys some cloud storage for her files. On average, she adds files that take up 2 megabytes each day. After 64 days, she has 96 megabytes of memory remaining in the cloud.
Determine the equation, in slope-intercept form, of the line that represents the amount of memory remaining after xecks days.
Answer:
the answer would be a because i had this exact question on ed2020, i think i remember it being A.
Step-by-step explanation:
A. Gregorio has to make 84 cookies for scout
camp. How many dozen cookies is that?
Answer:
7 dozen cookies
Step-by-step explanation:
12 cookies are in a dozen, 84 / 2
2² + 2[2(3+1)(3-2)-1]
Answer:
18
Step-by-step explanation:
hope this helps! :D
have a miraculous day!! <3
Roman has 2 red pencils in his backpack if this is 25% of the total number pencils how many pencils are in his backpack
Answer:
8 pencils
Step-by-step explanation:
if 2 red pencils are 25% of his number of pencils then multiply 2 by 4
because 25x4=100
so 2x4=8
Roman has 8 pencils in his bag
A line passes through the point (9,5) and
has a slope of 1/3 Write an equation of the line in
slope-intercept form
Answer:
Answer: y=1/3x-6
Help??
Trying to find g
1/3(g-3)=3
Answer:
g = 12
Step-by-step explanation:
[tex]\frac{1}{3}[/tex] (g - 3) = 3 ← multiply both sides by 3 to clear the fraction
g - 3 = 9 ( add 3 to both sides )
g = 12
A squid is 42 3/4 feet below rhe surfaceof the ocean. A seagull is 12 1/2 feet above the surface. What is the distance between the squid and the seagull?
Answer: 55 1/4
Step-by-step explanation: If a squid is 42 3/4 feet below the surface of the ocean and a seagull is 12 1/2 feet above the surface of the ocean, you would need to add together 42 3/4 and 12 1/2, to get your answer which is 55 1/4.
42 3/4 + 12 1/2 = 55 1/4