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Setler79 [48]
2 years ago
7

Michael is walking from home to work. The function graphed represents the remaining distance to his work, in kilometers, x hours

after he starts walking.
What is the meaning of each key feature of the graph?

Drag the answer into the box to match each item.

Mathematics
2 answers:
Karolina [17]2 years ago
3 0
x intercept- the number of remaining hours it takes to walk to work.

y intercept- the remaining distance from home to work. 


Just took the quiz. Hope this helps you guys baiii <33
Leona [35]2 years ago
3 0

Let

x------> the time in hours

y------> the distance in kilometers

we know that

<u>The x-intercept </u>is the value of x when the value of y is equal to zero

In this problem the x-intercept is about the point (0.80,0)

that means

The number of remaining hours it takes to walk to work is 0.80 hours (about 48 minutes

<u>The y-intercept </u>is the value of y when the value of x is equal to zero

In this problem the y-intercept is the point (0,4)

that means

The remaining distance from home to work after Michael starts walking is 4 kilometers

therefore

the answer in the attached figure

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2 years ago
The label on the car's antifreeze container claims to protect the car between −40°C and 140°C. To covert Celsius temperature to
sergejj [24]

Answer:

-40 < t < 284

Step-by-step explanation:

The antifreeze protects the car between −40°C and 140°C.

Using t for temperature, the compound inequality of the Celsius temperature range is:

-40 < t < 140

The conversion formula is given to find degrees C in given degrees F. We can solve the formula for F, so we get degrees F in terms of degrees C.

C = (5/9)(F - 32)     <------ <em>conversion formula from deg F to deg C</em>

Solve for F:

(9/5)C = F - 32

(9/5)C + 32 = F

F = (9/5)C + 32    <------ <em>conversion formula from deg C to deg F</em>

Now we convert -40 deg C to deg F using the formula we just derived.

F = (9/5)C + 32

F = (9/5)(-40) + 32

F = -72 + 32

F = -40

-40 deg C = -40 deg F

(This is not a mistake or a typo. -40 deg C really is the same as -40 deg F.)

Now we convert 140 deg C to deg F using the formula we just derived.

F = (9/5)C + 32

F = (9/5)(140) + 32

F = 252 + 32

F = 284

140 deg C = 284 deg F

Now we rewrite the compound inequality with Fahrenheit temperatures.

-40 < t < 284

4 0
1 year ago
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Angle 4 equals 34 degrees since angle 2 and 4 are opposite angles and opposite angles are congruent

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