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lutik1710 [3]
4 years ago
15

Please help 25 points

Mathematics
1 answer:
algol134 years ago
4 0

Answer:

(-1,5)

(3, 1/125)

Step-by-step explanation:

g(x) = (1/5) ^x

Lets check the points

(1,0)

0 = (1/5) ^1

0 = 1/5  False this is not on the graph

(-1,5)

5 = (1/5) ^ -1

Remember negative exponents flip the fraction inside the parentheses

5 = 5/1  True  this is on the graph

(3, 1/125)

1/125 = (1/5)^ 3

1/125 = 1^3/ 5^3

1/125 = 1/125  true  this is on the graph

(-2,1/25)

1/25 = (1/5) ^-2

Remember negative exponents flip the fraction inside the parentheses

1/25 = 5^2/1^2

1/25 = 25  false this is not on the graph

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Answer:

<em>Part 1 : Equation: ( 3x - 9 ) + 30 + 24 = 180,</em>

<em>Part 2 : Value of x ⇒ 45°,</em>

<em>Part 3 : Measure of Angle U ⇒ 126°</em>

Step-by-step explanation:

~ Part 1 ~

We know that ∑ of angles in a triangle is 180;

m∠ U + m∠ V + m∠ W = 180°,

<em>Equation: ( 3x - 9 ) + 30 + 24 = 180</em>

~ Part 2 ~

Now let us simplify the equation above to solve for x;

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If it is known that m∠ U ⇒ 3x - 9;

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4 years ago
the teacher of a senior class needs to choose 4 members of the class to represent the school. if there are 10 seniors in the cla
3241004551 [841]
There are 10 seniors in the class, from which 4 should be chosen by the teacher. The order of the chosen students does not matter. This means that we speak of combinations. THe equation for calculating the number of possible combinations is:
C=N!/R!(N-R), where N is the total number of objects and R is the number of objects we select from the N 
In our case, N=10, R=4.
C= 10!/4!*6!=10*9*8*7*6!/6!*4*3*2*1=<span>10*9*8*7/24=5040/24=210
There are 210 different ways for the teacher to choose 4 seniors in no particular order.</span>
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Answer:

Step-by-step explanation:

The main goal in any equation is to get the unknown variable all by itself.  In this case that means moving the fraction of 7/8 over to the other side of the equals sign.  On the left, the fraction is being subtracted; that means that to move it to the other side, we add it since adding is the opposite of subtracting.

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On the left side, if you have 7/8 and then take that 7/8 away, it's gone completely.  What we have now is

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