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Q: Consider the following functions. f(x) = 4x2,    g(x) = x−1   Find (f ∘ g)(x)   ,   (g ∘ f)(x)   , ...

A:  For the following functions

Q: Mattie Evans drove 80 miles in the same amount of time that it took a turbopropeller plane to travel...

A: Let speed of the plane = x mph.The speed of the car= (x - 150) mph

Q: b to the 2  power multiply by b to the -2 power  assume b = 0

A:

Q: Write an expression for each of the following in terms of x: Length (the distance from P to Q) Width...

A: (9)Consider the given diagram,Length (the distance from P to Q) is find as,

Q: If $7500 is invested at 14.5% compounded continuously, the future value S at any time t (in years) i...

A: Refer to the question, we need to calculate the future value S at any time t (in years) from the pro...

Q: 6÷×+8=3÷2x+16÷5

A: Consider the given equation:

Q: 25,000 = 10,000(1.07)8x

A: Given exponential equation is  

Q: If a and h are real numbers, find the following values for the given function. f(x) = 5x − 6 1) f(a)...

A: Plug a and h in place of x to find f(a) and f(h).Answer(1): f(a)+f(h)=5a+5h-12

Q: Graph 4x-y=6              X+2y=6 What is the solution of the system?

A:

Q: MAT150 Unit 3 Review Find f(x) for the following functions: need to show f(g(x)) = g(f(x)) = x no 46...

A: Refer to the question as you have send me multiple questions so according to the code of conduct I w...

Q: The following table gives the percentage of high school students that smoke for select years. 4. t3:...

A: The scatter plot for the given data is

Q: Express the following function in vertex form. y=x2+10x+22

A: Given:

Q: 80.

A: Plug g(x)=2x, then substitute x by 2x in f(x). Answer: (fog)(x)= sqrt(2x-2)

Q: eck Qu Suppose that the supply and demand equations for printed T-shirts for a particular week are g...

A: Part A 

Q: Graph the solution set for the of linear inequalities  y<1/3x+1 y>1/3x-2

A: We make tables for the auxiliary equations. 

Q: Write each fraction in terms of the LCM of the denominators. x2 + 3 x3 − 1 ,  5 x2 + ...

A: Denominators are (x^3-1) and (x^2+x+1).(x^3-1)= (x-1)(x^2+x+1)So LCM of (x-1)(x^2+x+1) and (x^2+x+1)...

Q: Solve using Gauss-Jordan elimination. 4x, -7x2-5x3 59 X1-3x2 = 21 Write the system of equations as a...

A: The system of equations

Q: Find the following matrix product. Note that the product can be found mentally, without the use of a...

A: The given matrices are,

Q: f(x) = x2 + 3,     f(6 + h) − f(6) h Evaluate the differene quiotent for the given fucntion ...

A:

Q: What are the blanks?

A: The given exponential function is N = 2500 × 1.74d.

Q: 1/2t+6=-7

A:

Q: Find the zeros of the given function and state the multiplicities. f(x) = -2xˆ2 (x-3)ˆ3 (x+5)ˆ2

A: Given:

Q: Write each fraction in terms of the LCM of the denominators. 2x-5/5x(x-2)= 9x=

A: The given expressions are,

Q: To raise money, a school is sponsoring a magazine subscription drive. By visiting 90 homes in the ne...

A: Obtain the number of homes visited by the student for subscribing $1.

Q: Let p(t)=10(0.001)^t and   q(t)=log⁢  t^3. Solve the equation q(p(t))=0 for t.

A: The given functions are,

Q: A group of 9 people wants to buy a boat. The boat costs $414. If they all pay the same amount, how m...

A: Let x be the one person’s share to buy a boat.The cost of the boat is $414, and the persons want to ...

Q: A store is having a sale on jelly beans and trail mix. For 3 pounds of jelly beans and 2 pounds of t...

A: Let the cost for each pike or jelly beans is $x and  cost for each pound of trail mix is $y.For 3 po...

Q: Graph, labeling the vertex and all x and y intercepts: g(x) = 2x2+8x

A: The given function is

Q: Graph the solution set for the system of linear inequalities x>-3 y>-4

A: Given:

Q: Use a change-of-base formula to evaluate each logarithm. (Round your answers to four decimal places....

A: To compute the given logarithms by using base change

Q: What are the blanks?

A: Given that in 1995, there were 56.61 thousand performances in the United States by nonprofit profssi...

Q: -12(1x+20)=372

A:

Q: As part of a conditioning program, a jogger ran 8 mi in the same amount of time as it took a cyclist...

A: As part of a conditioning program, a jogger ran 8 mi in the same amount of time as it took a cyclist...

Q: Perform the indicated operation (2x3+11x2-5x+6)÷(x+6)

A: Given,

Q: 6. Solve the following inequalities and write solution using interval notation. a. 10x211x - 6 > 0 b...

A: NOTE: Dear student, since you have posted a question with multiple subparts, we will answer the firs...

Q: I am stuck on this equation and unsure how to solve. Here is the equation Solve by system of equatio...

A: Given,

Q: How do you divide

A: First we havw to get rid of 5x. (5x)/(sqrt(5x))= sqrt(5x).So we multiply (sqrt(5x)-2) by sqrt(5x) an...

Q: If a 56-gram serving of pasta contains 7 g of protein, how many grams of protein are in a 454 gram b...

A: It is given that 56 gram of pasta contains 7 gram of protein.

Q: One and one-half ounces of a medication are required for a 180-pound adult. At the same rate, how ma...

A: One and one-half ounces of a medication are required for a 180-pound adult.Consider x as the additio...

Q: Use the simple interest formula to determine the missing value. p=​?, r=6​%, t=9 ​months, i=​$108p=​...

A: We know that if p is total principal, r is rate of interest per year and t is total time in years, t...

Q: Use the given information to find the unknown value. y varies inversely with the square root of x. W...

A: Given that y varies inversely with the square root of x.That is

Q: 1) a furniture shop sells sofas for $680. if the shop wanted to offer the lower price of $ 540 what ...

A: Original price= 680 New price= 540So new price is (680-540)=$140 less

Q: 12

A: Given: -

Q: Evaluate each logarithm by using properties of logarithms and the following facts. loga(x) = 3.2   ...

A: Given: -

Q: solve for y: ln(3-y)-ln(y) = 2x + ln(5)

A: Given,

Q: Determine whether the ordered pair satisfies the equation. y=-2/5x-1; (5,-3)

A: The given equation is,

Q: the sum of a number and 12 times its reciporcal is 8. find the number(s).

A: Given:Sum of a number and 12 times its reciprocal is 8.

Q: la3 126 Divide the following: Preview

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question s...

Q: please solve and show your work

A: To factor 

Q: perform the indicated operation and simplify: [(-5b2c2)]3  ____________ -10b2c3

A: Recall the following facts.

Percentage

A percentage is a number indicated as a fraction of 100. It is a dimensionless number often expressed using the symbol %.

Algebraic Expressions

In mathematics, an algebraic expression consists of constant(s), variable(s), and mathematical operators. It is made up of terms.

Numbers

Numbers are some measures used for counting. They can be compared one with another to know its position in the number line and determine which one is greater or lesser than the other.

Subtraction

Before we begin to understand the subtraction of algebraic expressions, we need to list out a few things that form the basis of algebra.

Addition

Before we begin to understand the addition of algebraic expressions, we need to list out a few things that form the basis of algebra.