Exercise #3: Which of the following is a point where; (1) (0,7) (2) (-1,-1) (3) (-2,4) (4) (2,10) 7 and y=-5x-6 intersect?

Q: A total of $22,000 is to be invested, some in bonds and some in certificates of deposit (CDs). If…

A: We will find the required.

Q: Let a be a complex root of x³ + 2x + 6. Find the inverse of a² + 2a + 1 in the form d + ba + ca², d,…

A: We have to find the inverse in the given form.

Q: 3. The amount a tutor is compensated for one-hour individual or group tutoring sessions is shown in…

A:

Q: Find the minimum value of the function f(x) = x² + 14x + 46.2 to the nearest hundredth.

A: To find the minimum value of the function

Q: A factory that produces staplers has a fixed cost of $2,200 per day. Each stapler costs the company…

A:

Q: A bacteria culture starts with 440 bacteria and grows at a rate proportional to its size. After 2…

A:

Q: +3y+3z=5     -y   +3z=-4 -x       +12z=-7   Solve the system. Does it have one solution, no…

A:

Q: 7. Let ƒ (x) = 4x − 3, g(x) = x² + 4, h(x) = x + 5. Evaluate the following. a. (f+g)(-4) b. (goh)…

A:

Q: 1. Calculate a. (3-7)

A: We have to calculate the sum of given series.

Q: Find the inverse function f-¹(x). Use desmos to graph both f(x) and f-¹(x) on the same coordinate…

A: To solve the following problem

Q: Determine whether the function is even, odd, or neither.   f(x)= 1x+18 x9

A:

Q: What is the next term in the geometric sequence: 243, 81, 27 ?

A:

Q: Let y = 6 4 and u = 8 6 Compute the distance from y to the line through u and the origin. The…

A:

Q: 17. x - y = 9 -x + y = 1 y = 18. 40x, + 30x₂ X 20. 0.2 24 20x₁ + 15x₂ = -14 =

A:

Q: Write as a single logarithm:  logx^4 +1/2logx^4

A:

Q: 12.5 cm 9.5 cm 28.5 cm 8.5 cm

A:

Q: Let f(x) = X 1 Then (fog)(x) (gof)(x): = 5 = and g(x) = 3 - X + 5.

A:

Q: Suppose the tip of the minute hand of a clock is 5 in. from the center of the clock. Determine the…

A: We have o find the distance travelled by minute hand tip.

Q: Find a unit vector in the direction of the given vector. 72 - 320 A unit vector in the direction of…

A:

Q: gin X = 12 McGraw-Hill Campus - Intro to Sx McGraw Hill…

A:

Q: If a ball is thrown directly upward with a velocity of 22 ft/s, its height (in feet) after t seconds…

A:

Q: A child pulls a wagon with a force of 31 pounds. The handle of the wagon makes an angle of 30° with…

A:

Q: Diagonalize the following matrix. The real eigenvalues are given to the right of the matrix. 3 - 6…

A:

Q: Determine the positive x solution for the following equation. x³ = 1,000,000

A:

Q: The linear transformation T:P₂ (R) →P₂ (R) defined by T (p(x)) = p(x) -p (0) is invertible and the…

A: Solve the following

Q: Find a function of the form y = A sin(kx) + Cor y = A cos(kx) + C whose graph matches this one: 9- 8…

A: We need to find function from graph.

Q: List the first 5 terms of the geometric sequence given a₁ = 84 and r= 0.5.

A:

Q: Find a formula in terms of k for the entries of Ak, where A is the diagonalizable matrix below and…

A: Given matrix are A=-42-31 , P=-1-2-1-3 and D=-200-1

Q: B. Write each set using set-builder notation. 1. The set of natural numbers greater than 50. 2. The…

A: Note:- As per our company guidelines we are supposed to answer only first three sub-parts. Kindly…

Q: Consider the quadratic equation −3x² + 5x − 2 = 0 . Which of the following statements are true?…

A:

Q: A 1280 cubic foot pool is to be built with a square bottom of side length x. The sides are built…

A:

Q: Find the accumulated value of an investment of $20,000 for 6 years at an interest rate of 1.65% if…

A:

Q: Find the distance between u = 0 -6 and z= 2 -5 - - 1 9 The distance between u and z is (Type an…

A:

Q: Complete the table below giving the amount P that must be invested at interest rate 9.5 % compounded…

A: Let's find present value in all different time in years.

Q: Determine if the following vectors are orthogonal. -5 1 4 -6 11 V= 8 16 0 -2 u= Are the two vectors…

A: To determine whether the following vectors are orthogonal.u=-5480, v=1-616-2

Q: 7. Let f(x) = 4x − 3, g(x) = x² + 4, h(x) = x + 5. Evaluate the following. a. (f+g)(-4)

A:

Q: A card is randomly selected from a standard 52-card deck. Find the probabiltiy that it is NOT a face…

A: Topic -Probability We are given, Number of cards in a deck =52We know thatnumber of face…

Q: C. 2 logs x + 3 logs y X

A: we know that   logxn=nlogxloga.b=loga+logbc)  A=12log8x+3log8y

Q: 3) Write the equation of the transformed function in vertex form. Vertex form f(x) = s O 5

A:

Q: Find the minimum value of the function f(x) = 0.8x² + 4.3x + 11.6 to the nearest hundredth. Answer:…

A: We have given function  fx=0.8x2+4.3x+11.6 f'x=ddxfx f'x=0.8ddxx2+4.3ddxx+ddx(11.6) f'x=0.82x+4.31+0…

Q: Apply logarithm rules to rewrite the following logarithmic express a. 5log5 12 b. log, 8³ 1 C. d. 2…

A:

Q: Given: m/FEB = 60° Find v, w, x, y, and :. G NI H A حاصل F B 60⁰ E D Wo C

A:

Q: K Write the system of equations as a matrix equation of the form AX = B. X₁ - 4x₂ + 3x3 = -3 = 1 X₁…

A: In order to write sytem of linear equations in matrix form AX=B, we first write coefficeints of the…

Q: d. (g – fh)(−5)

A: Given query is to find indicated function operation.

Q: Perform the matrix operation. (If not possible, enter IMPOSSIBLE in any cell of the matrix.) [ 830…

A:

Q: Determine whether the set of vectors is orthogonal. 5 - 3 0 - 3 7 -6 6 Yes No 6 CO LO 5 - 2 Is the…

A:

Q: Your recipe requires 2 tbsp of chopped garlic. Garlic is sold for $3.29/pound and has a yield…

A: 1 cup = 16 tbsp = tbsp = tcup   1 cup of chopped garlic weighs Ab ounces. 2 tbsp of chopped garlic…

Q: Write the partial fraction decomposition of the given rational expression. 5 x(x - 5) What is the…

A:

Q: Function Composition Using Graphs Use the graphs for f(x) and g(x) to evaluate the expressions…

A:

Q: Question 32 Find the amount of money (Future Value) in an account where $1,400 is deposited…

A: Given query is to find the final amount in the account.