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Tema [17]
3 years ago
10

If 101! = (99!)x, then x = ?

Mathematics
1 answer:
beks73 [17]3 years ago
5 0
99!x=101!\ \ \ /:99!\\\\x=\frac{101!}{99!}\\\\x=\frac{99!\cdot100\cdot101}{99!}\\\\x=100\cdot101\\\\x=10\ 100
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Show whether the values x=4 and y =5 make inequality 7x-3y<19
Valentin [98]

Answer:

The inequality is true.

Step-by-step explanation:

To show that it is true, you simply sub in 4 for x and 5 for y and see if the statement is true or not

7(4)-3(5) < 19

28-15 < 19

13 < 19

7 0
3 years ago
Someone help a sister out
myrzilka [38]
X= 14 for the top
x= -2 for the bottom
3 0
3 years ago
Will be giving brainliest to the correct one, no links or account will be reported:)
aleksandr82 [10.1K]

Answer:

x = 38

∠P = 26º

Step-by-step explanation:

The sum of the angle in a triangle is 180

x + (x + 78) + (x - 12) = 180

Combine like terms

3x + 66 = 180

Subtract 66 from both sides

3x = 114

Divide both sides by 3

x = 38

-----------------------

∠P = x - 12

∠P = 38 - 12

∠P = 26º

7 0
2 years ago
Read 2 more answers
The perimeter of the aqua rectangle is 72 feet. What is the measure of the rectangle’s longest side?
dimulka [17.4K]

Answer:

53

Step-by-step explanation:

72 = x + 3x - 4

72 = 4x - 4

72 + 4 = 4x - 4 + 4

76 = 4x

76/4 = 4x/4

x = 19

3(19) - 4 = 53

Hope this helps!

8 0
2 years ago
Suppose that the functions q and r are defined as follows.
satela [25.4K]

Answer:

(r o g)(2) = 4

(q o r)(2) = 14

Step-by-step explanation:

Given

g(x) = x^2 + 5

r(x) = \sqrt{x + 7}

Solving (a): (r o q)(2)

In function:

(r o g)(x) = r(g(x))

So, first we calculate g(2)

g(x) = x^2 + 5

g(2) = 2^2 + 5

g(2) = 4 + 5

g(2) = 9

Next, we calculate r(g(2))

Substitute 9 for g(2)in r(g(2))

r(q(2)) = r(9)

This gives:

r(x) = \sqrt{x + 7}

r(9) = \sqrt{9 +7{

r(9) = \sqrt{16}{

r(9) = 4

Hence:

(r o g)(2) = 4

Solving (b): (q o r)(2)

So, first we calculate r(2)

r(x) = \sqrt{x + 7}

r(2) = \sqrt{2 + 7}

r(2) = \sqrt{9}

r(2) = 3

Next, we calculate g(r(2))

Substitute 3 for r(2)in g(r(2))

g(r(2)) = g(3)

g(x) = x^2 + 5

g(3) = 3^2 + 5

g(3) = 9 + 5

g(3) = 14

Hence:

(q o r)(2) = 14

8 0
2 years ago
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