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2 years ago

14

I do not know what you do on problem 14

1 answer:

Elan Coil [88]2 years ago

5 0

Distance d is directly proportional to time t that he rides.

So d = kt where k is the constant of proportionality

Here k = his speed = 20 mph

So the required equation is d = 20t

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If f(x) = 2x2 - 5 and g(x) = 3x + 3, find (f - g)(x).

Vera_Pavlovna [14]

Answer: A. 2x2 - 3x - 8

Just subtract the functions and combine like terms
(f - g)(x) = f(x) - g(x)
(f - g)(x) = 2x^2 - 5 -(3x + 3)
(f - g)(x) = 2x^2 - 5 - 3x - 3
(f - g)(x) = 2x^2 - 3x - 8

7 0

2 years ago

The diameter of a circle has endpoints P(-12, -4) and Q(6, 12).

nexus9112 [7]

9514 1404 393

Answer:

(x +3)² +(y -4)² = 145

Step-by-step explanation:

The center of the circle is the midpoint of the given segment PQ. If we call that point A, then ...

A = (P +Q)/2

A = ((-12, -4) +(6, 12))/2 = (-12+6, -4+12)/2 = (-6, 8)/2

A = (-3, 4)

The equation of the circle for some radius r is ...

(x -(-3))² +(y -4)² = r² . . . . . . where (-3, 4) is the center of the circle

The value of r² can be found by substituting either of the points on the circle. If we use Q, then we have ...

(6 +3)² +(12 -4)² = r² = 9² +8²

r² = 81 +64 = 145

Then the equation of the circle is ...

(x +3)² +(y -4)² = 145

3 0

2 years ago

At Emily's summer camp, there are

Stells [14]

Answer:

15

Step-by-step explanation:

3 counselors for every 20 girls

6 0

2 years ago

Read 2 more answers

The measure of AngleMKJ is 80°. After analyzing the diagram, Janelle concludes that Ray K L is an angle bisector. Point K has th

dem82 [27]

Answer: it’s c

Step-by-step explanation:

9 0

2 years ago

Read 2 more answers

You are planning to work in the summer (13 weeks). You

Llana [10]

Answer:

(a) Equations for both

$y = 500 + 12x$ --- lifeguard

$y = 15x$ --- camp counselor

(b) Total pay for 5 days

Lifeguard pays $800

Camp counselor pays $375

(c) Which pays more

Lifeguard job pays more

Step-by-step explanation:

Let

$x \to hours$

$y \to total\ pay$

Given

Lifeguard job

$Signing\ bonus = \$500$

$Rate = \$12/hr$

Camp counselor job

$Signing\ bonus =\$0$

$Rate = \$15/hr$

Solving (a): The equation for both

The total pay for each job is calculated as:

Total Pay = Signing Bonus + Rate * Hours

So, we have:

Lifeguard

$y = 500 + 12*x$

$y = 500 + 12x$

Camp counselor

$y = 0 + 15 * x$

$y = 15x$

Solving (b): Total pay for 5 days

First, we calculate the total hours worked in 5 days

$x = 5hrs/day * 5days$

$x = 25hrs$

So, the pay for each is:

$y = 500 + 12x$

$y =500 + 12*25$

$y =800$ --- Lifeguard

$y = 15x$

$y = 15 * 25$

$y = 375$ --- camp counselor

Solving (c): Which job pays more

By comparing the solution in (b)

$800 > 375$

<em>Hence, lifeguard job pays more</em>

6 0

2 years ago