Find a possible formula for the linear function y = g(x) given that: (i) The value of the expression g(100) is 120, and (ii) The solution to the equation g(x) = 60 is -50. y = g(x) = - 6 x + 240 X

Q: Lauren invested an amount of $26,000 in a mutual fund. After 2 years and 9 months the accumulated…

A:

Q: Find the determinants in Exercises 5-10 by row reduction to echelon form. 1 5. -1 -4 -2-8 7. 5 -4 13…

A:

Q: tar Cups, a specialty coffee store, creates a special mix of two coffees at two different prices:…

A: Given that Star Cups, a specialty coffee store, creates a special mix of two coffees at two…

Q: Can you show the steps please? For both a) and b)

A: Given:To Find: (a) By inspection only  to interpret the equation,  and to state the slope and the…

Q: Find the number of items in the following sets. If there is an infinite number in a set enter oo…

A:

Q: U X 78° 54° W V Z

A:

Q: 2. Suppose CA = In (the n x n identity matrix). Show that the equation Ax = 0 has only the trivial…

A: Suppose Ax=0 for some vector  x. Multiplying both sides by C , we…

Q: 8. 4. Which transformation will cause a change in the range of the function below? f(x)=x+51-1 A.…

A: The range changes when there is change in y value.

Q: Calculate the missing information. Round dollars to the nearest cent and percents to the nearest…

A: Here we are given the Markup percent based on selling price=60% or 0.6selling price=$155.50We need…

Q: Consider the following system of linear equations. -z = -1 3y -z=3 4x + 5y 3z = 5 2x Solve the…

A:

Q: Find the volume of the parallelepiped with one vertex at the origin and the adjacent vertices at…

A:

Q: Make an exponential model y(t) with the given properties. Assume that t is the number of periods.…

A: The standard form of the exponential decay function is given by,The initial value is a=580

Q: Let_f(x)=(x-1)², g(x)=x², and E= {x:-8≤x≤8}. Find the inverse image (goƒ)¯¹(E).

A: The given functions  and .The aim is to find the inverse image of .

Q: Find the total return earned by the bond with the characteristics shown in the table. Annual…

A:

Q: The function h(x) = (x + 7) can be expressed in the form f(g(z)) where f(x) = x, and g(x) is defined…

A:

Q: Let S be the universal set, where: S= {1,2, 3, ..., 28, 29, 30} Let sets A and B be subsets of S,…

A:

Q: b) ABC ialah bulatan yang berpusat di O. AOC ialah diameter bulatan. i) Cari nilai x. ii) Cari nilai…

A: Theorem:-Alternate segment Theorem:-For any circle, the angle formed between the tangent and the…

Q: Divide. If the divisor contains 2 or more terms, use long division. 5x²y + 15x²y² - xy² 5xy

A: The given expression is,

Q: Three small towns out west form the vertices of a right triangle, with Stony Gulch at the vertex of…

A: Three small towns out west form the vertices of a right triangle, with Stony Gulchat the vertex of…

Q: Problem 3. Consider the following augmented matrix. 0 0 1 0 -2 0 1 -6 00 0 1 0 0 0 co 5 0 5 0 The…

A:

Q: If Zhang wants to earn interest of $3,535.85 on his $6,000.00 savings in 4 years, at what nominal…

A:

Q: If 2300 dollars is invested in an account for 10 years. Find the value of the investment at the end…

A:

Q: The form of the expression for the function f(t)=4-3(t+1) tells you a point on the graph and the…

A:

Q: in a exam of 150 numbers of 150 Question, if their is no negative marks in 2001 then cutoff was 113.…

A: To calculate the cutoff for the 2003 exam, you can follow these steps:Step 1: Calculate the number…

Q: The Venn diagram here shows the cardinality of each set. Use this to find the cardinality of the…

A:

Q: 9. Graph the following equation by plotting points. Let x = 3, 4, 5, 6, 7, 8. and 9. y=|6-x| Use the…

A: Given equation y=| 6-x|and plotting points x= 3, 4, 5, 6, 7,8 and 9To find the graph of given…

Q: The Venn diagram here shows the cardinality of each set. Use this to find the cardinality of the…

A:

Q: consider the expansion of (3x+ €) 8 P where p70. The coefficient of the term in xt is equal to the…

A: As we know The term of expansion of  is

Q: Find the determinant of the matrix det(M)= M= 2 0 10 0 80 3 3 0 1 1020 02 1

A:

Q: 1. g(x)=-3x+2 h(x)=x²-2x Find (goh)(-3) Type a response

A:

Q: is onto if and only ifk + 1.5 ܩܘ ܝܕ 4.5 -2 -6 −5+k] -3 -9

A: The given matrix

Q: An animal shelter charges $20 to spay or neuter a cat, and $80 to spay or neuter a dog. Write the…

A: An animal shelter charges $20 to spay or neuter a cat, and $80 to spay or neuter a dog. Write the…

Q: Determine the volume of the shaded region. When appropriate, use the key on your calculator. 10 ft…

A:

Q: -10 -B The leading coefficient is N 10 The degree of this polynomial is How many real roots are…

A:

Q: Consider the following three systems of linear equations. System A System B -5x+3y=3 [A1] -5x+3y=3…

A: Given: To Find: (a) To transform system A into system B.(b) To transform system B into system C.

Q: Use the disk or the shell method to find the volume of the solid generated by revolving the region…

A:

Q: How would go about doing this problem, If (2,0), (-3,4), and (0,-6) are on the graph of f(x), what…

A: This is question of algebra Here point on graph is given We have to find relation of that with…

Q: The length of a rectangle park is 56 yards. The width is 48 yards. How many yards of fencing are…

A:

Q: A car rental company charges $31 per day and $0.20 per mile. (a) Compute the cost of renting the car…

A:

Q: NOTE the technique of finding the inverse matrix does not apply here since A is not a sq A instead.…

A: The given matrix is,

Q: Given a set A = { 6, H, I, 5, G, m, p}, answer the following questions: a. Find the total number of…

A:

Q: 7. How will you know if any number is a factor of the given polynomial? Explain by giving examples.

A: How to know that a number is factor of given polynomial.Explain using example.

Q: Determine the fraction of the square in Figure 3.6 that is shaded. Explain your reasoning (attach…

A:

Q: Then where a11 = 1 a31 = , a 12 = , A32 = A = 1 1 1 ,a13 = 8 8 -8 all a12 a13 4-639 A = a21 922 a23…

A: This is question of algebra Here matrix is given We have to find inverse of this matrixFurther…

Q: 17. The point (3, 4) lies on the graph of a function. The inverse of this function must contain…

A: given point (3,4) lies on the graph of a function.

Q: Prove that if PR is not parallel to BC then # figure 1.13 AP |AR| |AB| |AC| . |AP| If P is any point…

A: Prove that:if PR is not parallel to BC then .Given statement isif P is any point on AB and Q is any…

Q: Given the polynomial function 2x² + 5x²-21x - 36, find the following: its upper boundary. its lower…

A:

Q: The monthly demand for a certain brand of table wine is given by the demand equation 3 P= 230 1 3+…

A: Given:To find:

Q: Then where a1 = where C₁1 = ,a12 = " C12 = 78 -7 = (² ('6 ;)‚³=(−3 ;),c= (8 5). ,B= C -5 5 2 A = 7…

A: Given,

Q: Multiply. (7x²+1) (4x²+5)

A: The given expression is,