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STALIN [3.7K]
2 years ago
8

1.

Mathematics
1 answer:
ASHA 777 [7]2 years ago
8 0

Answer:

1)

x = 1

y = -3

2)

x = 3 or x = -3

Step-by-step explanation:

1)

System of equations, we plug in y to the second equation

4x + 2(4x-7) = -2\\4x+8x-14 = -2\\12x = 12\\x=1

We then plug x back into the first equation to find y

y = 4(1) -7\\y = -3

2)

4x^2 +3=39\\4x^2=36\\x^2=9\\x=3, -3

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Caitlyn is saving for vacation. She already has $38 and plans to save $18 per week until she reaches her goal of $524. Caitlyn’s
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Answer:

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Answer:

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Step-by-step explanation:

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3 years ago
At 7:00 A.M., Alicia pours a cup of tea whose temperature is 200°F. The tea starts to cool to room temperature (72°F). At 7:02 A
alexgriva [62]

Answer: A) Option B

B) 22.3 minutes.

Step-by-step explanation:

The temperature decreases in an exponential decrease, this means that we can write the equation as:

T(x) = A*r^x + B

Where A is the difference between the initial temperature and the room temperature, B is the room temperature, and r is a positive number smaller than 1, that says "how fast" the temperature decreases (and x is the variable, in units of time)

We know that the initial temperature

A = 200° - 72° = 128°

B = 72°

T(x) = 128°r^x + 72°

The only option with those two values is option B.

T(x) =  128(0.989)^x + 72

We should check that when x = 2m, the temperature must be 197°

T(2m) = 128*(0.989)^2 + 72 = 197.2° (that we can round down to 197°)

So this equation is correct

Now we want to find the time such the temperature is 172°F

then:

172° = 128°(0.989)^x + 72°

100° = 128°(0.989)^x

100/128 = (0.989)^x

x = ln(100/128)/ln(0.989) = 22.3 minutes.

Let's check in our equation:

T(22.3) =  128°(0.989)^22.3 + 72 = 172°

8 0
3 years ago
Shaka and ajani playa a game shaka scores 30%of maximum points and misses the record by 15 points ajani gets 40% of maximum pint
stellarik [79]

Step-by-step explanation:

First, we should focus on their records and percents.

Shaka: 30%, -15 points.

Ajani: 40% +35 points.

When we subtract 35 and -15, we get the difference of 50.

We know 10% is 50 point difference, 20% is 100 point difference, 30% is 150 point difference, etc.

But that's not correct.

  • It has to be in the Negatives.
  • It cannot be positive under 30%.

Since 30% is -15 points, we subtract 50 for 20%, then another 50 for 10%.

Our Correct work is:

0% = -0, 10% = -115, 20% = -65, (30% = -15, 40% = 35.)

- We are correct.

Then, since we are correct, we keep going.

30% = -15, 40% = 35, 50% = 85, 60% = 135, 70% = 185, 80% = 235, 90% = 285, 100% (Or Maximum Point): 335.

Therefore, the Maximum Point is 335 points.

Best of Luck to you!

If you have any questions, feel free to comment below.

Merry Christmas and have a Happy New Year!

Thank You!

Read more on Brainly.com - brainly.com/question/14270303#readmore

5 0
3 years ago
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