PLEASE HELP! ON TIMER! 1.Given the following functions, f(x)=x^2 g(x)=x-3 find the composition of the two functions and show your work. f(g(x)) 2.Given the following functions, f(x)=x^2 g(x)=x-3 find the composition of the two functions and show your work. g(f(x)) 3. what would be the domain restriction? describe how you found the answer. 1 over x-3
Answers
Answer:
I can only answer the first one for now but the answer is x^2 - 6x + 9.
Step-by-step explanation:
f(x) = x^2 and g(x) = x - 3.
To find f(g(x)) we replace the x in f(x) by g(x).
f(g(x)) = (x - 3)^2
= x^2 - 6x + 9.
Related Questions
(Pythagorean Theorem, Right Angle) for 100 POINTS!
(Will even give Branliest for this easy work)
Are these answers correct?
Answers
Step-by-step explanation:
there is nothing missing. this is a complete proof.
yes, the various steps are correct.
Pankaj is a Biomedical Engineering student. He plans to deposit $600 that he earned as stipend, in
a bank account at 3% rate of interest compounded weekly for no more than 2 years. The total
amount of the money, A, that Pankaj will get back, is a function of time, t. Which is a reasonable
domain of the money that he may accumulate?
Answers
The correct answer is A: 600 <= money <= 2822.4.
This represents the range of possible values that Pankaj's accumulated money could fall into, given the specified conditions of the 3% interest rate compounded weekly for a maximum of 2 years. The lower bound, 600, represents the initial deposit amount, while the upper bound, 2822.4, represents the maximum amount of money Pankaj could earn after 2 years, assuming that interest is compounded every week.
Ben's Barbershop has a rectangular logo for their business that measures 7(1)/(5) feet long with an area that is exactly the maximum area allowed by the building owner. Create an equation that could be used to determine M, the unknown side length of the logo.
Answers
An equation that could be used to determine M, the unknown side length of the logo is X = (36/5) x M
Let's assume that the unknown side length of the logo is 'M'. The logo is a rectangle, and the area of a rectangle is given by multiplying its length and width. Since we know the length of the logo is 7(1)/(5) feet, we can write the equation:
A = L x W
where A is the area of the logo, L is the length of the logo, and W is the width of the logo.
Substituting the given values, we get:
A = (7(1)/(5)) x M
or
A = (36/5) x M
Now, we know that the area of the logo is exactly the maximum area allowed by the building owner. Let's assume this maximum area is 'X'. So, we can write another equation:
A = X
Combining both equations, we get:
X = (36/5) x M
This is the required equation that could be used to determine the unknown side length 'M' of the logo if we know the maximum area allowed by the building owner 'X'.
To learn more about equation click on,
https://brainly.com/question/28049884
#SPJ1
PLEASE HELP ASAP NEEDS TO BE DONE IN 5 MINUTES Ed needed to extend the string on his kite. The current string was eight and three fourths feet. He cut a piece of string that measured 4.5 feet and added it to the existing string. What is the new length of the string? four and one fourth feet four and one half feet twelve and three fourths feet thirteen and one fourth feet
Answers
Answer:
thirteen and one fourth feet
Step-by-step explanation:
8 + 3/4 + 4 + 0.5
8 + 3/4 + 4 + 1/2
8 + 4 + 3/4 + 1/2
12 + 3/4 + 2/4
12 + 5/4
48/4 + 5/4
53/4
13 and 1/4
Hope this helps :)
Answer:
13 and 1/4 feet is the answer
Step-by-step explanation:
please help!! find the inverse of image attached :)
Answers
The correct answer is option A: "If x doesn't equal 3, then 2x + 5 doesn't equal 11."
What is inverse?More precisely, if f is a function that maps elements from a set A to elements in a set B, then the inverse function of f, denoted as f^(-1), is a function that maps elements in set B back to elements in set A.
According to question:The given statement is: "If x equals 3, then 2b + 5 equals 11."
To find the inverse, we negate both the hypothesis and the conclusion of the statement and switch their order:Inverse: If x does not equal 3, then 2b + 5 does not equal 11.Therefore, the correct answer is option A: "If x doesn't equal 3, then 2x + 5 doesn't equal 11."
The inverse function f^(-1) is defined such that f(f^(-1)(x)) = x for all x in B, and f^(-1)(f(x)) = x for all x in A. In other words, applying the inverse function to the output of the original function returns the input value.
The existence of an inverse function depends on the properties of the original function. For example, a function must be one-to-one (or injective) to have an inverse function, which means that each input maps to a unique output. If a function is not one-to-one, then its inverse function may not exist or may have limited domain and range.
To know more about inverse visit:
https://brainly.com/question/30194642
#SPJ1
A 40-foot ladder is leaning against a building and forms a 29.32° angle with the ground. How far away from the building is the base of the ladder? Round your answer to the nearest hundredth.
45.88 feet
34.88 feet
22.47 feet
19.59 feet
Answers
Answer:
34.88
Step-by-step explanation:
I took the test
The distance between the building and the ladder is 34.88 foot, the correct option is B.
What is a Right Triangle?A triangle in which one of the angle measure is equal to 90 degree is called a right triangle.
The ladder forms a right triangle with the building and the ground,
The length of the triangle is 40 foot
The angle made by the ladder is 29.32 degree
By using Trigonometric Ratios
cos 29.32 = Base / Hypotenuse
cos 29.32 = Base / 40
Base is the distance between the building and the ladder.
Base = 34.88 foot
To know more about Right Triangle
https://brainly.com/question/6322314
#SPJ5
Samantha is solving a
linear equation for y so
that she can graph it. Here
are her steps:
3x + y = 6
Step 1:
3x + y = 6
- 3x
- 3x
-
Step 2:
y = 3x
What error did Samantha
make?
Answers
Let’s solve for x
3x + y= 6
Add -y to both sides
3x + y + -y = 6+ -y
3x = -y + 6
Divide both sides by 3
3x/3 = -y + 6/ 3
And so your answer is at the top hope this helps.
ESIGNMENTS
COURSES
Assignment - 12. Project. Dividing Fractions Performance Task B
Attempt tous
SECTION 5 of 5
QUESTION 11 OF 11
5
6
7
8
9 10
11
>
Write a division problem that has a quotient of 9/10
At least one of the numbers you give must be a proper fraction. The other can be a proper fraction, whole number, or
improper fraction. Neither the dividend nor the divisor can be 9/10.
UPLOAD
WRITER
Answers
Answer:
I help you if you help me with this |a+5| if a<-5
Step-by-step explanation:
Please help!!! I’ll give brainliest too!
Answers
Answer:
y-intercept: -5
Slope: 4
Equation: y = 4x - 5
Step-by-step explanation:
✔️ y-intercept (b):
When x = 0, y = -5. Therefore, the y-intercept (b) = -5. It is the point at which the y-axis cut across by the line. At this point, x is always zero.
✔️Slope using two points (0, -5) and (1, -1):
\( slope (m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{-1 - (-5)}{1 - 0} = \frac{4}{1} = 4 \)
Slope (m) = 4
✔️Equation in slope-intercept form y = mx + b:
Substitute m = 4, and b = -5 into y = mx + b
y = 4(x) + (-5)
y = 4x - 5
Kelsey has a list of possible functions. Pick one of the g(x) functions below and then describe to Kelsey the key features of g(x), including the end behavior, y-intercept, and zeros.
g(x) = (x + 2)(x − 1)(x − 2)
g(x) = (x + 3)(x + 2)(x − 3)
g(x) = (x + 2)(x − 2)(x − 3)
g(x) = (x + 5)(x + 2)(x − 5)
g(x) = (x + 7)(x + 1)(x − 1)
Answers
The zeros of g(x) = (x + 2)(x − 1)(x − 2) are x = -2, 1 and 2
The y-intercept is g(0) = 4The end behaviour is \(\mathrm{as}\:x\to \:+\infty \:,\:g\left(x\right)\to \:+\infty \:,\:\:\mathrm{and\:as}\:x\to \:-\infty \:,\:g\left(x\right)\to \:-\infty \:\)Calculating the key features of the function g(x)
From the question, we have the following parameters that can be used in our computation:
The 5 functions of g(x)
To determine the key features of the function g(x), we make use of the first
g(x) = (x + 2)(x − 1)(x − 2)
So, we have
Zeros
This is when the function equals 0
(x + 2)(x − 1)(x − 2) = 0
Evaluate
x = -2, 1 and 2
The y-intercept
This is when the value of x in the function equals 0
g(0) = (0 + 2)(0 − 1)(0 − 2)
Evaluate
g(0) = 4
End behaviour
This is the behavior of the graph of the function as it approaches the ends of the x-axis
So, we have
\(\mathrm{as}\:x\to \:+\infty \:,\:g\left(x\right)\to \:+\infty \:,\:\:\mathrm{and\:as}\:x\to \:-\infty \:,\:g\left(x\right)\to \:-\infty \:\)
Read more about polynomial at
https://brainly.com/question/30833611
#SPJ1
Two years ago, Rita was three times older than Cheryl. In 3 years, Rita will be twice older than Cheryl. How old are the girls now?
Answers
Answer:
15 and 26
Step-by-step explanation:
Answer:
Rita is 17 years old and Cheryl is 7
Hope this Helps :)
Step-by-step explanation:
which law would you use to simply the expression 3^10/3^4 quotient power power of a quotient product of powers power of a product
Answers
It will be like this 3^10/3^4
=(3)^10-4
=(3)^6
Law used x^m/x^n=x^m-n
HOPE IT HELPS!!!!!
PLEASE MARK BRAINLIEST!!!!
Lori creates the following design for a T-shirt.
Lori found the areas of Triangle 1 and Rectangle 1. Find the areas of the remaining figures.
The area of Rectangle 1 is 8.68 square inches.
The area of Triangle 1 is 6.48 square inches.
The area of Rectangle 2 is ... square inches.
The area of Triangle 2 is ... square inches.
The area of the whole figure is ... square inches.
Answers
Please help me with this. also click image
Answers
Answer:
3.14 inches
Step-by-step explanation:
the length of arc AB = 30/360 × 2×3.14×6
= 1/12 × 3.14 × 12 = 3.14
Find The Sum or Difference
(-6x – 3) + (3x – 9)
Answers
Answer:
-3x -12
Step-by-step explanation:
-6x +3x = -3x
-3-9 = -12
Please look at the pic and help!!
Answers
Answer:
4x² + 22x - 12
Step-by-step explanation:
A = bh/2
A = (4x - 2)(2x + 12)/2
A = (8x² + 48x - 4x - 24)/2
A = (8x² + 44x - 24)/2
A = 4x² + 22x - 12
divide the polynomials x^2-10,000/x-100
Answers
Answer:
x+100
Step-by-step explanation:
x^2-10,000/x-100
x^2-10000 is a difference in squares and can be factored.
x^2-10000 = (x+100)(×-100).
(x+100)(x-100)/(x-100)
(x-100) cancel each other.
x+100 remains.
Many states assess the skills of their students in various grades. One of the tests provided by a national association assesses the reading skills of 12th-grade students. In a recent year, the national mean score was 286 and the standard deviation was 38. Assuming that these scores are approximately Normally distributed, N(286, 38), use the 68-95-99.7 rule to give a range of scores that includes 95% of these students.
Answers
Answer:
95% of these scores are between 210 and 362.
Step-by-step explanation:
The Empirical Rule states that, for a normally distributed random variable:
68% of the measures are within 1 standard deviation of the mean.
95% of the measures are within 2 standard deviation of the mean.
99.7% of the measures are within 3 standard deviations of the mean.
In this problem, we have that:
Mean = 286, Standard deviation = 38
Use the 68-95-99.7 rule to give a range of scores that includes 95% of these students.
This is within 2 standard deviations of the mean. So
286 - 2*38 = 286 - 76 = 210
286 + 2*38 = 286 + 76 = 362
95% of these scores are between 210 and 362.
what is the answer? please
Answers
Answer:
cvvvvvvvvvvvvvvgfjgf
Step-by-step explanation:
cxvvvvvvvvvvvvvv
write an algebraic equation for the followingn problem and then solve for it. Hilltop dormitory just purchased a new soft drink machine on sale for $480. The sale price was 75% of the original price. What was the original price of the soft drink machine?
Answers
Answer:
Step-by-step explanation:480 x o.75=360
and now you add this amount on payed
360 + 480=840 was original price
(-7x^3+9x^2-3)•(-2x^2-5x+6) what are equivalent expressions?
Answers
Answer:
Hey your answer is the last one
Step-by-step explanation:
Hope it helps 229 999 0523
4 3/8 + 5 1/2= in fractions
Answers
Answer:
9 7/8
Step-by-step explanation:
1. 4 3/8 can be converted into the improper fraction 35/8, and 5 1/2 can be converted into 11/2.
2. Now that we have 35/8 + 11/2, we have to find a common denominator. Since 2 goes into 8 four times, we can turn 11/2 into 44/8 by multiplying the numerator and denominator (the top and the bottom numbers) by 4.
3. Now we have 35/8 + 44/8. At this point, the all we have to do is add the numerators (the top numbers). 35+44=79, so our answer is 79/8, which we can simplify to 9 7/8.
It's due in 30 minutes!!
Answers
2. 16 pints
3. 480 mL
4. 2640 ft
Round 10'463.24 to the nearest hundredth.
Answers
Answer:
Number
Rounded to Nearest Hundredth
1
1
1.006
1.01
1.012
1.01
1.018
1.02
Step-by-step explanation:
12=0.9x
what’s the answer
Answers
Answer: x=40/3
Step-by-step explanation: 12=0.9x
0.9x=12
0.9x(10)=12(10)
9x/9=120/9
x=40/3
Answer:
0.9
Step-by-step explanation:
PLEASE HELP!!
4 Digit Lock *
Enter 4 digit number code with no spaces
Answers
Why it said he used partial products to write 7 × 870 = 5600 + 49 explain why its error in use math to justify your explanation
Answers
6090=5649
The person is wrong because instead of writing the product as 5600 + 49 he must write 5600 + 490.
The given equation is 7 × 870 = 5600 + 49.
What is multiplication?Multiplication is an operation that represents the basic idea of repeated addition of the same number. The numbers that are multiplied are called the factors and the result that is obtained after the multiplication of two or more numbers is known as the product of those numbers.
Now, product of two numbers 7 and 870 is
7 × 870=6090
⇒ 7 × 870 = 5600 + 490
Hence, the person is wrong because instead of writing the product as 5600 + 49 he must write 5600 + 490.
Learn more about the multiplication here:
https://brainly.com/question/1562995.
#SPJ2
giving 30 points &’ brainliest to whoever can help w there two questions!!
Answers
Answer:
binomial and not a polynomial
Please refer to the picture, thank you!!!
Answers
An equation that relates T to N can be written as T = 750 + 630N.
What is an equation?An equation can be defined as a mathematical expression which shows that two (2) or more thing are equal.
What is a function?A function can be defined as a mathematical expression which can be used to define and represent the relationship that exist between two or more variables in a population (data set).
How to write an equation relating T to N.Since the total amount saved by using both plans (functions A and B) is represented by T, an equation that relates T to N can be written as follows:
T = A + B
Substituting the given parameters into the formula, we have;
T = (750 + 135N) + 495N
T = 750 + 135N + 495N
T = 750 + 630N.
Read more on function here: https://brainly.com/question/19537858
#SPJ1
Complete Question:
Raina and her husband are each starting a saving plan. Deshaun will initially set aside $750 and then add $135 every month to the savings. The amount A (in dollars) saved this way is given by the function A=750+135N , where N is the number of months he has been saving. Her husband will not set an initial amount aside but will add $495 to the savings every month. The amount B (in dollars) saved using this plan is given by the function B=495N. Let T be total amount (in dollars) saved using both plans combined. Write an equation relating T to N.
Simplify your answer as much as possible.
Given that y varies directly as x when y = 2 and x = -12, find x when y = 5.
Answers
Answer:
x = -30
Step-by-step explanation:
Use the direct variation equation, y = kx
Plug in 2 as y and -12 as x, and solve for k:
y = kx
2 = k(-12)
-1/6 = k
So, the equation is y = -1/6x
Plug in 5 as y and solve for x:
y = -1/6x
5 = -1/6x
-30 = x
So, when y = 5, x = -30