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What is the equation of the quadratic graph with a focus of (5, 6) and a directrix of y = 2? f(x) = one eighth (x + 5)2 + 4 f(x) = −one eighth (x − 5)2 + 4 f(x) = one eighth (x − 5)2 + 4 f(x) = one eighth (x + 5)2 − 4
General
2 months ago
A zoo train ride costs $5 per adult and $1 per child. On a certain day, the total number of adults (a) and children (c) who took the ride was 17, and the total money collected was $65. What was the number of children and the number of adults who took the train ride that day, and which pair of equations can be solved to find the numbers? 5 children and 12 adultsEquation 1: a + c = 17Equation 2: 5a − c = 65 12 children and 5 adultsEquation 1: a + c = 17Equation 2: 5a + c = 65 12 children and 5 adultsEquation 1: a + c = 17Equation 2: 5a − c = 65 5 children and 12 adultsEquation 1: a + c = 17Equation 2: 5a + c = 65
General
2 months ago
The work of a student to solve a set of equations is shown:Equation 1: m = 8 + 2nEquation 2: 6m = 4 + 4nStep 1: −6(m) = −6(8 + 2n) [Equation 1 is multiplied by −6.]6m = 4 + 4n [Equation 2]Step 2: −6m = −48 − 12n [Equation 1 in Step 1 is simplified.]6m = 4 + 4n [Equation 2]Step 3: −6m + 6m = −48 − 12n + 4n [Equations in Step 2 are added.]Step 4: 0 = −48 − 8n Step 5: n = −6 In which step did the student first make an error? Step 3 Step 5 Step 4 Step 2
General
2 months ago
Given that P = (5, 9) and Q = (13, 12), find the component form and magnitude of vector PQ.
General
2 months ago
Scaling up a 4 inch by 6 inch image by 50% results in which of the following image size
General
2 months ago
Mickey Mantle played for the New York Yankees for 18 years. Here is the number of home runs by Mantle per year: 13, 23, 21, 27, 37, 52, 34, 42, 31, 40, 54, 30, 15, 35, 19, 23, 22, 18 Compute the five-number summary of the data and determine which boxplot would best represent the data.
General
2 months ago
Whats the numerator for the following rational expression 5/q+9/q=?/q
General
2 months ago
What is the value of x? NEED ANSWERED FAST 30 pts!!!
General
2 months ago
The total fencing around a square field is 80 yards. The field has an area of how many square yards?
General
2 months ago
Quadrilateral BCDE is inscribed inside a circle as shown below. Write a proof showing that angles C and E are supplementary. Circle A is shown with an inscribed quadrilateral labeled BCDE.
General
2 months ago
Help with math hw?Answer the 2nd one
General
2 months ago
The histogram shows the ages of cars sold at a car auction. what percent of the cars was less than 20 years old or more than 40 years old? enter your answer in the box.
General
2 months ago
The manager of a gift store is printing brochures and fliers to advertise sale items. Each brochure cost $0.08 to print, and each flier costs $0.04 to print. A brochure requires 3 pages, a flier requires 2 pages. The manager does not want to use more than 600 pages, and she needs at least 50 brochures and 150 fliers. How many of each should she print to minimize the cost?a.45 brochures200 fliersc.50 brochures150 fliersb.50 brochures200 fliersd.80 brochures175 fliers
General
2 months ago
Two years ago your orange orchard contained 90 trees and the yield per tree was 80 bags of oranges. last year you removed 10 of the trees and noticed that the yield per tree increased to 85 bags. assuming that the yield per tree depends linearly on the number of trees in the orchard, what should you do this year to maximize your total yield?
General
2 months ago
If a fair coin is flipped 50 times, what is the probability of 25 heads?
General
2 months ago
Your parents will retire in 28 years. they currently have $280,000 saved, and they think they will need $1,750,000 at retirement. what annual interest rate must they earn to reach their goal, assuming they don't save any additional funds
General
2 months ago
Which of the following represents the line of symmetry of the parabola represented by the equation x2 - 10x + 21 = 0?A.x = 3 B.x = 2 C.x = 4 D.x = 5
General
2 months ago
A restaurant has a breakfast special. Customers can choose eggs or pancakes, a fruit cup or potatoes, and toast or a bagel.What are all the possible breakfast special that the customers can choose from?Select from the drop-down menus to correctly complete the sample set list.eggs, fruit cup, toasteggs, _____, bageleggs, potatoes, toasteggs, potatoes, bagelpancakes, fruit cup, toastpancakes, fruit cup, bagel______, potatoes, toastpancakes, potatoes, bagel
General
2 months ago
Margot is sewing a ribbon on a seam along the perimeter of a square pillow. The side length of the pillow is 2x2 + 1 inches, and its perimeter is 4(2x^2 + 1) inches. If x = 3.5, how much ribbon does she need?
General
2 months ago
Find the diameter of a circle with a circumference of 15.71 yards
General
2 months ago
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