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amid [387]
3 years ago
11

What is the value of x?

Mathematics
1 answer:
devlian [24]3 years ago
3 0

Answer:

x=30

Step-by-step explanation:

5x+x=180<--------because lines are supplementary

6x=180

6x/6=180/6

x=30

Check your work:

5(30)=30=180

150+30=180<---------YES!!!

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Find the average rate of change of f(x) = 4x² – 3 from 3 to 9.
Lina20 [59]

Answer:

44

Step-by-step explanation:

Given:

f(x) = 4x^2 - 3

Required:

Average range of change from 3 to 9

SOLUTION:

Step 1:

Find f(3) and f(9):

To find f(3), replace x with 3 in the given function

f(3) = 4(3)^2 - 3

f(3) = 4(9) - 3

f(3) = 36 - 3

f(3) = 33

To find f(9), replace x with 9 in the given function

f(9) = 4(9)^2 - 3

f(9) = 4(81) - 3

f(9) = 324 - 3

f(9) = 321

Average rate of change = \frac{f(b) - f(a)}{b - a}

Where,

a = 3, f(a) = 33

b = 9, f(b) = 321

Plug in the values into the formula for average rate of change.

= \frac{321 - 33}{9 - 3}

= \frac{288}{6}

= 44

Average rate of change = 44

3 0
3 years ago
A curve is described by the following parametric equations: <br> x = 4-t<br> y = t^2 -2
marta [7]

Answer:

Step-by-step explanation:

Given

x=4-t

and y=t^2-2\quad \ldots(i)

So, t=4-x

Substitute the value of t in (i)

y=(4-x)^2-2

y+2=(4-x)^2

So it represent a parabola shown in the figure

3 0
3 years ago
At Tasty Dogs, 2 of the last 12 customers wanted mustard on their hot dogs. Considering this data, how many of the next 6 custom
Art [367]

Answer:

I would expect 1 person to want mustard.

Explanation:

6 is half of 12, and 1 is half of 2 :)

Hope this helped

4 0
3 years ago
Read 2 more answers
67,000 rounded to the nearest ten thousand is
Nitella [24]


When you round to the nearest 10 thousand. Find the number in the 10 thousand place, that would be the  6 in this case, now look at the number to the right of it, if that number is 5 or higher, then your 67,000 becomes 70,000.

If the number to the right of place value is lower than 5 then it would have been rounded to 60,000.

Hope this helps you. :-)

4 0
3 years ago
Read 2 more answers
There are 7 terms in a finite arithmetic sequence, and the first term is 11.
jonny [76]
I say the answer is d I might be wrong.
4 0
3 years ago
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