Graph the parabola and find the indicated information. 8(y + 5) = (x – 2)2 4. Vertex: Focus: Directrix: Latus Rectum Points:

Q: Write the rational expression in lowest terms. p (p + 8) p(p + 8)

A: Solve the following

Q: How many ounces each of a 12% alcohol solution and a 30% alcohol solution must be combined to obtain…

A: A detailed solution is given below

Q: The All-County Goat Show will award the blue ribbon for 1st place, red ribbon for 2nd place, and…

A: Using permutations and combination

Q: You need a 95% alcohol solution. On hand, you have a 55 mL of a 50% alcohol mixture. How much pure…

A: You need a 95% alcohol solution. On hand, you have a 55 mL of a 50% alcohol mixture. To determine…

Q: 1. Find the inverse. * = 4y * = y Oy- O y = a* 2. Simplify. 18 216 729 27 323

A: Given query is to find the inverse and the simplification of the expression.

Q: A utility pole is 8 m high. A cable is stretched from the top of the pole to a point in the ground…

A:

Q: A company produces toy cars of all colors. Three out of every 200 cars have to be rejected because…

A: We need to find profit per car.

Q: A. Perform the following fundamental operations on each given functions. Then, determine its domain.…

A: 2) Given f(x)=3x-1, g(x)=4-2x Then (f+g)x=f(x)+g(x) (f+g)x=3x-1+4-2x (f+g)x=x+3 The domain of a…

Q: In how many ways can 7 different compact discs be arranged on a shelf?  ___ ways

A: This question is related to permutations and combinations, we will solve it using given information.…

Q: 34 12 E. The total cost, C (in thousand of dollars), of producing x (in hundred) units of some…

A:

Q: The admission fee at an amusement park is $2.50 for children and $6.20 for adults. On a certain day,…

A:

Q: When it is sunny, Joe's ice cream truck generates a profit of $512 per day, when it is not sunny,…

A:

Q: b. 16 + 8: Since = 8 · %3D 16 8 = %3D

A:

Q: Solve for t. -0.13t- = 0.54 e Select the correct choice below and, if necessary, fill in the answer…

A:

Q: The height y, in feet, of a baseball t seconds after being thrown upward can be approximated by y =…

A:

Q: Find the equilibrium point of the demand and supply equations. Demand Supply p = 470 – 0.5x p = 338…

A:

Q: Use Pascal's Triangle to help find the missing values. * – 42° + 6x² – ax +1

A:

Q: 1. How many solutions does a linear inequality in two variables have? A. Infinite В. 2 С. 1 D. 0

A: 1. How many solution does a system of linear equation

Q: EXTRA CREDIT Bruce has $5.50 in dimes and quarters. He has eight more quarters than dimes. How many…

A: 1 quarter is equal to $0.25. 1 dime is equal to $0.10. Suppose Bruce has x dimes, then he would have…

Q: 7. Write the equation of the line in slope-intercept form that is parallel to y = 3x-4 and through…

A:

Q: O Let A Ta - find Conditions on a.b.c and d that AX =0 has infaitely many solution - what must there…

A: For A.x=0 to have infinite solution solution A must be equal to 0. For matrix A to be invertible A…

Q: 10. Simplify. Write answer using positive exponents. 2x'y 5 x'y -32 7. -1 25 O A. O B. OC. 25xy 25…

A:

Q: Use the information in this problem to answer questions 16 and 17. 16. One number exceeds another by…

A: Let one number be x. Another number is x+16.

Q: Sketch the region A= {(x, y)|(y2-log, x)U(x + y² < 4)} .

A: Here,we have given two regions or two functions now we have to sketch these two regions.

Q: 7. Find the horizontal asymptote(s). 623 + 222 + 7x – 1 33 + 2x2 – 3z +9 f(x) = O y = 2 * = 2 * = 9…

A: 7. f(x)=6x3+2x2+7x-13x3+2x2-3x+98. fx=x and g(x)=2x2+3

Q: The Uufaid Balame at the stast of a 30-day billing Gele was $ 775.04- A Purehase. of $57 66 i 16. No…

A: We need to find unpaid balance at the end of month.

Q: 10. Choose the best answer. If In 3 = 1.10 and la 6 = 1.79, then In 2 = 0.60 0.61 1.63 2.89 0.69

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: O 6. Choose the best answer. For an exponential function f(x) = ab, changing the value for will…

A:

Q: V5 V5 + V10

A: Given 55+10 To find simplest radical form

Q: If A = {x | x is an odd integer}, B={x | x is an even integer), C = {2, 3, 4, 5}, and D = (11, 12,…

A:

Q: 2 3= -2

A: Here we use matrix operations.

Q: the balance due on the note at the date of maturity. Partial Payment Principal Rate Effective Date…

A: In the US rule, a year is assumed to have 360 days for the purpose of computation of interest.…

Q: Find the point of intersection of the pair of straight lines. y  =  −9x  −  7 −y  =  10x  +  9

A: We have to find out the point

Q: Multiply. бу 16y + 8 12y +6 7

A:

Q: A book club has a membership fee of $25. Each book purchased costs $3. Find a rule for the linear…

A: Suppose x books are taken then find the linear function.

Q: Find an equation of the hyperbola having foci at (-3, 1) and (-3, 9) and vertices at (-3, 4) and…

A:

Q: 3.) S 4x53ײ dx

A: To find: ∫4x53x2dx Let I = ∫4x53x2dx Now take 3x2 = t⇒6xdx = dt ⇒xdx = dt6

Q: Worker A can make a widget in 3 hrs; Worker B requires 5 hrs. How long will it take to make a widget…

A: Solving the problem by finding the total required time.

Q: Let B be the basis of P, consisting of the three Laguerre polynomials 1, 1-t, and 2- 4t + t, and let…

A: Find your answer below

Q: Graph the line. 3 y=-x-1 5 -10 -8 -6 -4 10 -2- -4. -6+ -8

A:

Q: Sketch the region A={(x, y)|(y< log, x)n ys s}.

A: Explained below

Q: Let A and B be two matrices of size 3 x 3 such that det(A) = 2 and det(B) = 3. Then det(3B-'A") = O…

A: To find the determinant value of given matrices product.

Q: Susan needs $4029 for a future project. She can invest $3000 now at an annual rate of 7%, compounded…

A: GivenFuture value=$4029Premium=$3000Rate=7%=0.07Compound=4We know that A=P(1+r4)4t

Q: 6. Graph f(x) if f(x)=*+2 4 A) B) C) D) A. I choose graph A. B. I choose graph B. O C. I choose…

A:

Q: For each equation, determine whether its graph is symmetric with respect to the x-axis, the y-axis,…

A: Solve the following

Q: 17. State how the graph of the equation will differ from the parent graph 1 f(x) = -5+ The graph…

A:

Q: an is an even number, show that a2 = 0 (mod 4), and if an is an odd number, show that a2 = 1 (mod…

A:

Q: The set of all polynomials of degree 6 under -he standard addition and scalar multiplication…

A: it is not closed under addition.

Q: Sketch the region A= {(x, y)|(y>-log, x)^(y Sx²)}.

A: The region,  A=x,y|y&gt;-log2x∩y≤x2

Q: B. Given the following functions: f(x) = 3x + 2; g(x) = 3x² + 2; and h(x) : find the values of the…

A: