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kaheart [24]
3 years ago
7

5x - y = 6 -2x +y = 8 What’s the answer

Mathematics
1 answer:
nevsk [136]3 years ago
4 0

Answer:

x= 4\frac{2}{3}

y= 17\frac{1}{3}

Step-by-step explanation:

5x-y=6\\-2x+y=8\\

Simplify, find the x-value first:

3x=14\\x=4\frac{2}{3}

Substitute x-value into any equation (i did the second equation) and simplify:

-2(4\frac{2}{3})+y=8\\ -9\frac{1}{3} +y=8\\

y=17\frac{1}{3}

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The temperature outside is currently 10°F. It will fall at a constant rate of 3°F per hour. Which temperature will it be in 4 ho
Elenna [48]

Answer:

The temperature in 4 hours = -2 °F

Thus, option (D) is true.

Step-by-step explanation:

We know that the slope-intercept form of the line equation is

y = mx+b

where m is the rate of change or slope and b is the y-intercept

  • Let 'y' be the temperature
  • Let 'x' be the time of the temperature in the hour

Given that the current temperature outside = 10°F.

Thus, the y-intercept = b = 10°F

Given that as the day went on, It will fall at a constant rate of 3°F per hour.

Thus, the slope or rate of change = -3°F

(The rate of change or slope is -3 because the temperature is reducing)

Thus, the rate of change = slope = m = -3

Thus, substituting m = -3 and b = 10 in the equation

y = mx+b

y = -3x + 10

Now, substituting x = 4 to determine the temperature after 4 hours.

y = -3(4) + 10

y = -12 + 12

y = -2 °F

Therefore, the temperature in 4 hours = -2 °F

Thus, option (D) is true.

5 0
3 years ago
Can you solve this equation please<br><br> √{√[S + 5972 – 1111²]}
nasty-shy [4]
The answer you want is 20!
8 0
3 years ago
Read 2 more answers
if a sprinter runs are distance of hundred metres in 9.83 seconds calculate the speed in kilometre per hour​
My name is Ann [436]

Answer:

98.3 seconds

Step-by-step explanation:

If you use stoichometry you can convert your units

9.83 seconds

over 100 meters    a kilometer is 1000 meters so

9.83/100 *10 because what you do to denominator needs to happen to numerator

98.3 seconds

over 1 kilometer

it take the sprinter 98.3 seconds to run a kilometer and one way to check is well a kilo is a longer distance so logically the time it takes them has to be higher cause they cannot run a kilo faster than they run 1/10 of it

8 0
3 years ago
What is (0.3)(0.5)? Show your reasoning.
loris [4]

Answer:

0.15

Step-by-step explanation:

0.3*0.5=

3*5=15

15/100=0.15

(brackets mean multiply)

5 0
3 years ago
Express your answer as a polynomial in standard form.
lana [24]

9514 1404 393

Answer:

  f(g(x)) = -3x^2 -2x -3

Step-by-step explanation:

<u>Given</u>:

  f(x) = -x-7

  g(x) = 3x^2 +2x -4

<u>Find</u>:

  f(g(x))

<u>Solution</u>:

Substitute per the function definitions.

  f(g(x)) = f(3x^2 +2x -4) = -(3x^2 +2x -4) -7

  f(g(x)) = -3x^2 -2x -3

7 0
3 years ago
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