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2 years ago

Which of the following functions is graphed below?

Mathematics

1 answer:

Rashid [163]2 years ago

5 0

Answer:

B.) y = |x + 4| - 2

Step-by-step explanation:

When values are added directly to "x", the function shifts to the left. When values are subtracted from "x", the graph shifts to the right. Because this graph has been shifted 4 units to the left, the function must be |x + 4|.

When values are added to the overall function, the graph shifts upwards. When values are subtracted from the overall function, the graph shifts downwards. Because the peak of this graph seems to have shifted downwards 2 units, there must be a (-2) in the function.

Therefore, the function must have the equation y = |x + 4| - 2.

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You are arguing over a cell phone while trailing an unmarked police car by 25 m; both your car and the police car are traveling

BARSIC [14]

Answer:

(a) 15 m

(b) ground speed: 26.14 m/s (94.1 km/h); relative speed 12 m/s

Step-by-step explanation:

We can choose the frame of reference to be the trailing car. We can start counting time from the point the lead car begins deceleration. Then its position (in meters) relative to the trailing car is ...

d(t) = 25 - 5/2t² . . . . . . where 25 m is the initial distance and -5 is the acceleration in m/s².

(a) Then the distance between cars at t=2 is ...

d(2) = 25 - (5/2)·4 = 15 . . . . meters

(b) The <em>relative velocity</em> at 2.4 seconds is ...

d'(t) = -5t

d'(2.4) = -5(2.4) = -12.0 . . . m/s

The closure speed with the police car is 12 m/s.

We need to do a little more work to find the ground speed of the trailing car when the cars bump.

The distance between the cars at t=2.4 seconds is ...

d(2.4) = 25 -(5/2)2.4² = 10.6 . . . . meters

At the closure speed of 12 m/s, it will take an additional ...

10.6 m/(12 m/s) = 0.8833... s = 53/60 s

to close the gap. The speed of the trailing car at that point in time will be the original speed less the deceleration for 0.8833 seconds:

(110 km/h)·(1/3.6 (m/s)/(km/h))-(5 m/s²)(53/60 s)

= 26 5/36 m/s = 94.1 km/h

_____

<em>Comment on following distance</em>

To avoid collision, the trailing car must be trailing by at least the distance it covers in 2.4 seconds, about 73 1/3 meters.

6 0

3 years ago

Taft CLB Algebra 2 Unit 1: Systems of Linear Equations and Inequalities 2020-2021 / 3 of 13

Tju [1.3M]

Answer:

$B + G \leq 15$

$6B + 10G \geq 90$

Step-by-step explanation:

Given

Represent Babysitting with B

Represent Gas Station with G

Total workhours = At most 15

Earnings = At least $90

First, we need to represent the work hours as inequality

B + G = At most 15

At most 15 means less than or equal to 15.

So, we have:

$B + G \leq 15$

Next, we represent the earnings as inequality.

6 hours of babysitting is: 6B

10 hours at gas station is: 10G

So:

6B + 10G is at least 90

At least 90 means greater than or equal to 90

So, we have:

$6B + 10G \geq 90$

8 0

3 years ago

HELP! Quadrilateral ABCD is inscribed in the circle below.

hjlf

I don’t understand what you mean by the quadrilateral ABCD is inscribed in the circle below

6 0

4 years ago

Read 2 more answers

The Tennis Club decided to buy T-shirts for its members. Action Sports Apparel quoted the following prices for the T-shirts.

Hatshy [7]

Answer:

C. c(t) = 21 + 12t

Step-by-step explanation:

6 0

3 years ago

A cylinder has a diameter of 10 units. Its radius is ____ units. Of its height is _______ twice its radius, its height is units.

SpyIntel [72]

Answer:

Height is 10 units

Volume is 785 cubic units

Step-by-step explanation:

We are given;

Diameter of a cylinder as 10 units

But, radius = d/2

= 5 units

Height is twice its radius,

Thus, Height = 10 units

We can get the volume;

Volume of a cylinder = pir²H

Taking pi to be 3.14

Then;

Volume = 3.14 × 5²× 10

= 785 cubic units

Thus, the volume of the cylinder is about 785 cubic units

6 0

3 years ago