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larisa [96]
2 years ago
9

The point (8,15) is on the graph of y = f(x).

Mathematics
1 answer:
Nady [450]2 years ago
3 0

Answer:

Caution.  My best guess.

Step-by-step explanation:

See attached graph.

We don't have an actual equation for y=f(x).  But I can write one that includes (8.15) and then make the changes as requested.  The resulting new lines are shown for each:

A.  y = f(x+5).

B.  y = f(x) + 5.

Coordinates of a point for x=8 may be found on both lines.

For A:     (8,25)

For B:     (8,20)

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A rectangle has a length of 45 inches less than 4 times its width. if the area of the rectangle is 3325 square inches, find the
Maru [420]

The length of the rectangle is based on its width, so let's call width w and put the length in terms of the width. We are told that the width is 45 less than 4 times the width, so the length is 4w - 45. Area is found by multiplying length times width and we are given the area as 3325. So we will set up length times width and solve for w, which we will then use to solve for l. 3325 = (4w - 45)(w). Multiplying out we have 3325=4w^2-45w. Move the constant over by subtraction and then we will have a quadratic that can be factored to solve for w. 4w^2-45w-3325=0. We would put that through the quadratic formula to solve for w. When we do that we get that w = 35 and w = -23.75. The 2 things in math that will never EVER be negative is time and distance/length, so -23.75 is out. That means that the width is 35. The length is 4(35) - 45 which is 95. The dimensions of your rectangle are length is 95 and width is 35. There you go!

8 0
2 years ago
Find the point, M, that divides segment AB into a ratio of 5:5 if A is at (0, 15) and B is at (20, 0).
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C

a ratio of 5 : 5 simplifies to 1 : 1, which basically means we require the midpoint of the line segment

using the midpoint formula

M = [\frac{1}{2} (0 + 20 ), \frac{1}{2} (15 + 0)] = (10, 7.5 )


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List 3 values that would make this inequality true for 7 + x < 13
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An exceptionally bright high school student has applied for two scholarships: a merit scholarship and an athletic scholarship. H
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Answer:

a) 0.70

b) 0.82

Step-by-step explanation:

a)

Let M be the event that student get merit scholarship and A be the event that student get athletic scholarship.

P(M)=0.3

P(A)=0.6

P(M∩A)=0.08

P(not getting merit scholarships)=P(M')=?

P(not getting merit scholarships)=1-P(M)

P(not getting merit scholarships)=1-0.3

P(not getting merit scholarships)=0.7

The probability that student not get the merit scholarship is 70%.

b)

P(getting at least one of two scholarships)=P(M or A)=P(M∪A)

P(getting at least one of two scholarships)=P(M)+P(A)-P(M∩A)

P(getting at least one of two scholarships)=0.3+0.6-0.08

P(getting at least one of two scholarships)=0.9-0.08

P(getting at least one of two scholarships)=0.82

The probability that student gets at least one of two scholarships is 82%.

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Suppose that farmers grew an unexpectedly large number of tomatoes this year. How would this increase production affect the pric
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