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charle [14.2K]
3 years ago
13

A research scientist measures the outside temperature, in degrees Fahrenheit, at various times throughout a 24-hour period and r

ecords her findings in the graph below. In this real-world function, the hours represent the input values, and the temperature represents the output values. Use the graph to identify the range of the function. Write your answers using set notation. Then write a sentence to explain what the range represents in this function.
Mathematics
1 answer:
Cloud [144]3 years ago
4 0

Answer:

Step-by-step explanation:

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For the following system, if you isolated x in the first equation to use the substitution method, what expression would you subs
alekssr [168]

Answer:

x=2y+6

Step-by-step explanation:

So we have the system:

-x+2y=-6\\3x+y=8

If we isolate the x-variable in the first equation:

-x+2y=-6

Subtract 2y from both sides:

-x=-6-2y

Divide both sides by -1:

x=2y+6

Therefore, we would substitute the above into the second equation:

3x+y=8\\3(2y+6)+y=8

The answer is 2y+6

Further notes:

To solve for the system, distribute:

6y+18+y=8

Simplify:

7y+18=8

Subtract:

7y=-10

Divide:

y=-10/7\approx-1.4286

Now, substitute this value back into the isolated equation:

x=2(-10/7)+6\\x=-20/7+42/7\\x=22/7\approx3.1429

3 0
3 years ago
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A 10 ft. tent pole has a support rope that extends from the top of the pole to the ground. The rope and the ground form a 30 deg
GrogVix [38]
So you have a pole that is 10 feet tall that has a rope that goes from the top to the ground, the rope being 30 degrees to the ground... You can draw a right triangle using these dimensions. Now that you have a triangle, you look at where your 30degree angle is related to the side whose length you know and the side whose length you wish to find. The side you know is opposite from the 30 degrees while the side you want to find is the hypotenuse, for it goes down at an angle. You will use the opposite and hypotenuse sides, so, according to SOH CAH TOA, you will be using sin.
\frac{opposite}{hypotenuse}=sin\theta,\theta=30,opposite=10,hypotenuse=?
plug in those values and solve for your hypotenuse.
The easiest way to do this is if you knew the identities for special right triangles like the 30 60 90 triangles or the 45 45 90 triangles, but I showed you how to solve for your sides even if they're not special
6 0
3 years ago
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What is 7/10 - 5/12???? PLEASE HELP
Anarel [89]

Answer:

17/60

Step-by-step explanation:

5 0
3 years ago
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Need help ASAP please!
zmey [24]

Answer:

(mark me brainliest) q=5

Step-by-step explanation:

q would be = 5

and so would the height = 5

here is the rule for 45-90-45

hypotenuse is basically the other two lengths with \sqrt{2}

so that is why q would be 5

7 0
3 years ago
What are the coordinates of the image of L for a dilation with center (0,0) and scale factor 4?
vladimir2022 [97]

Answer:

c) 12,20

Step-by-step explanation:

6 0
3 years ago
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