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11Alexandr11 [23.1K]
3 years ago
7

Problem Page A table of values of a linear function is shown below. x −1 0 1 2 3 y −6 −8 −10 −12 −14 Find the slope and y -inter

cept of the function's graph, and find the equation for the function.
Mathematics
1 answer:
Ivenika [448]3 years ago
3 0
When x=0, y=-8, so that is the y-intercept.

When x increases by 1, y decreases by 2, so the slope is -2.

The equation of the function is
.. y = -2x -8
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A street light is mounted at the top of a 15-ft-tall pole. A man 6 ft tall walks away from the pole with a speed of 4 ft/s along
mina [271]

Answer:

The tip of the man shadow moves at the rate of \frac{20}{3} ft.sec

Step-by-step explanation:

Let's draw a figure that describes the given situation.

Let "x" be the distance between the man and the pole and "y" be distance between the pole and man's shadows tip point.

Here it forms two similar triangles.

Let's find the distance "y" using proportion.

From the figure, we can form a proportion.

\frac{y - x}{y} = \frac{6}{15}

Cross multiplying, we get

15(y -x) = 6y

15y - 15x = 6y

15y - 6y = 15x

9y = 15x

y = \frac{15x}{9\\} y = \frac{5x}{3}

We need to find rate of change of the shadow. So we need to differentiate y with respect to the time (t).

\frac{dy}{t} = \frac{5}{3} \frac{dx}{dt} ----(1)

We are given \frac{dx}{dt} = 4 ft/sec. Plug in the equation (1), we get

\frac{dy}{dt} = \frac{5}{3} *4 ft/sect\\= \frac{20}{3} ft/sec

Here the distance between the man and the pole 45 ft does not need because we asked to find the how fast the shadow of the man moves.

7 0
3 years ago
PLEASE HELP! WILL GIVE BRAINLIEST!
Alex Ar [27]
The one in the middle you can tell because when x=0 that is the y intercept and the graph had a y intercept of 4 and the middle graph had 5
6 0
3 years ago
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What is the value of the expression 3^2(2^3+4)/2^2?
Step2247 [10]

Answer:

27

Step-by-step explanation:

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Nick had 3 1/4 bottles of water for his wrestling practice. When he finished he had 1 2/4 bottles of water left. He said he used
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1 2/4+2 1/4 ≠ 3 1/4 but 1 2/4+2 1/4 = 3 3/4
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A balanced dime is tossed three times. The possible outcomes are represented in the table.
elena-s [515]

the last two ones be the same, the outcomes would be TTT,HTT,THH,HHH

so the probability is 4/8 = 1/2.

5 0
3 years ago
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