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Sladkaya [172]
3 years ago
9

Find the value of x in the Diagram Below.

Mathematics
1 answer:
zhannawk [14.2K]3 years ago
6 0
Answer: x = 12

Step-By-Step: 180 - 100 = 80

Step-By-Step: 80 - 12 = 68

Step-By-Step: 68 is angle ( X + 12)

68 + 12 = 80 + 100 equals 180

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Consider function f.
tekilochka [14]

Given:

The function is:

f(x)=\sqrt{7x-21}

To find:

The steps of finding the inverse function f^{-1}(x).

Solution:

We have,

f(x)=\sqrt{7x-21}

The steps of finding the inverse function are:

Step 1: Substitute f(x)=y.

y=\sqrt{7x-21}

Step 2: Interchange x and y.

x=\sqrt{7y-21}

Step 3: Taking square on both sides, we get

x^2=7y-21

Step 4: Adding 21 on both sides, we get

x^2+21=7y

Step 5: Divide both sides by 7.

\dfrac{1}{7}x^2+3=y

Step 6: Substitute y=f^{-1}(x).

\dfrac{1}{7}x^2+3=f^{-1}(x), where x\geq 0.

Therefore, the inverse of the given function is f^{-1}(x)=\dfrac{1}{7}x^2+3 and the arrangement of steps is shown above.

7 0
3 years ago
What is 2 equivalent ratios for 7 to 11
Strike441 [17]

Pick any number.  Multiply the 7 and the 11 both by it,
and you'll have an equivalent ratio.

Examples:

(by 2) . . . 14 to 22

(by 6) . . . 42 to 66

(by 10). . . 70 to 110

(by a million) . . . 7 million  to  11 million


7 0
3 years ago
A group of workers can plant 24 acres in 8 days. What is their rate in acres per day?
Orlov [11]
First, you should create a ratio.

24:8 

This can be turned into a fraction of 24/8 giving you the answer of 3/1

3 acres per day
6 0
3 years ago
The sum of two positive numbers is 588. minimize the sum of the first and three times the second
Marianna [84]

9514 1404 393

Answer:

  {587, 1}

Step-by-step explanation:

The sum will be minimized when the second number is as close to zero as is allowed. If the numbers must be positive integers, the sum is minimized when the numbers are {587, 1}.

If the numbers may be real numbers, then the values that minimize the sum are {588-, 0+}

_____

The "cost" of taking a unit from the sum 588 and assigning it to the second number is that the sum of first and 3 times the second goes up by 3. In order to minimize that sum, the second number must be minimized.

6 0
3 years ago
(X,3) , (5,9) slope=2
maxonik [38]
Equation for slope.
y2 - y1/x2 - x1
Using (x,3) and (5,9)
9 - 3/5 - x = 2
6/(5 - x) = 2
Cross multiply
6 = 2(5 - x)
6 = 10 - 2x
6 - 10 = -2x
-4 = -2x
x = 2
y2 - y1/x2 - x1
9 - 3/5 - 2
6/3 = 2
Hope this helps.
:-)

5 0
3 years ago
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