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creativ13 [48]
3 years ago
15

What is the solution to the system x+y=10 3y=-3x+30 PLEASE helpppp

Mathematics
1 answer:
choli [55]3 years ago
6 0

Answer:

Step-by-step explanation:

x+y=10

x=10-y

x=10-5

x=5

3y= -3x+30

3(10-y)= -3(10-y)+30

30-3y= -30+3y+30

30+30-30=6y

30=6y

y=5

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The function y = x 2 - 10x + 31 has a ____
katrin [286]

Answer:

Option B. minimum is correct for the first blank

Option C. 6 is correct for second blank.

Step-by-step explanation:

In order to find the maxima or minima of a function, we have to take the first derivative and then put it equal to zero to find the critical values.

Given function is:

f(x) = x^2-10x+31

Taking first derivative

f'(x) = 2x-10

Now the first derivative has to be put equal to zero to find the critical value

2x-10 = 0\\2x = 10\\x = \frac{10}{2} = 5

The function has only one critical value which is 5.

Taking 2nd derivative

f''(x) =2

f''(5) = 2

As the value of 2nd derivative is positive for the critical value 5, this means that the function has a minimum value at x = 5

The value can be found out by putting x=5 in the function

f(5) = (5)^2-10(5)+31\\=25-50+31\\=6

Hence,

<u>The function y = x 2 - 10x + 31 has a minimum  value of 6</u>

Hence,

Option B. minimum is correct for the first blank

Option C. 6 is correct for second blank.

8 0
3 years ago
The measure of one angle is 80 degrees. What is the measure of its supplement? A 80 degrees B 100 degrees C 10 degrees D I don't
ArbitrLikvidat [17]

Answer:

B. 100 degrees

Step-by-step explanation:

5 0
3 years ago
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Answer:

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4 0
3 years ago
Help pls 4=36÷____________
AlladinOne [14]

Answer:

9

Step-by-step explanation:

36 ÷ 4 = 9

36 ÷ 9 = 4

4 0
3 years ago
Read 2 more answers
Why is the derivative equals to 0?
Lisa [10]

Answer:

see explanation

Step-by-step explanation:

Using the trigonometric identity

• tan²x + 1 = sec²x

⇒ tan²x - sec²x = - 1

Thus the derivative reduces to

\frac{d}{dx} ( - 1 ) = 0

7 0
3 years ago
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