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Ainat [17]
3 years ago
10

For what value of y does 125=(1/25)^y-1

Mathematics
2 answers:
deff fn [24]3 years ago
6 0

Answer:

D. -1/2

Step-by-step explanation:

Alex777 [14]3 years ago
4 0

Answer:y=-1/2

Step-by-step explanation:

125=(1/25)^(y-1)

5^3=(5^(-2))^(y-1)

5^3=5^(-2(y-1))

The same base eliminate each other we then have

3=-2(y-1)

3=-2y+2

Collect like terms

2y=2-3

2y=-1

Divide both sides by 2

2y/2=-1/2

y=-1/2

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Below are two different functions, f(x) and g(x). What can be determined about their slopes? f(x) Dawn writes 800 pages in 80 da
lilavasa [31]
Given function f(x) which is described by "<span>Dawn writes 800 pages in 80 days".

From this function we can notice that Dawn writes 0 pages in 0 days, (i.e. the initial point of the function is point (0, 0).

Recall that the slope, m, of a line passing through points:
(x_1,y_1) and (x_2,y_2)
is given by
m= \frac{y_2-y_1}{x_2-x_1}

Function f(x) passes through points (0, 0) and (80, 800).

Thus the slope of function f(x) is given by
m= \frac{800-0}{80-0} = \frac{800}{80} =10


Give function g(x), passing through points (2, -6) and (4, 12), the slope is given by
m= \frac{12-(-6)}{4-2} = \frac{12+6}{2} = \frac{18}{2} =9

It can be seen that the slope of f(x) and the slope of g(x) are close.
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7 0
3 years ago
According to the Rational Root Theorem, what are all the potential rational roots of f(x) = 5x3 – 7x + 11?
iogann1982 [59]

ANSWER

\pm1,\pm11,\pm \frac{1}{5} \pm \frac{11}{5}

EXPLANATION

The given function is;

f(x) = 5 {x}^{2}  - 7x + 11

The constant term is 11.

The coefficient of the leading term is 5.

The factors of 11 are ±1,±11

The factors of 5 are ±1,±5

According to the Rational roots Theorem,

the potential roots are obtained by expressing the factors of the constant term over the coefficient of the leading term.

\pm1,\pm11,\pm \frac{1}{5} \pm \frac{11}{5}

4 0
3 years ago
How do you do that?????
Elden [556K]
This question is easy once you understand. So when adding, subtracting, multiplying, or dividing with whole numbers you turn it into a fraction. So 12 is going to become 12/1. 8 1/8 is a mixed number so we have to turn it into an incomplete fraction. Here is how you do it. Multiply the denominator by the who number. So 8 x 8 = 64. Then you add your product to the numerator, which will make it 65. Then after this you keep your denominator giving you 65/8. Now we have to find the common denominator by finding the LCM. So the LCM is 8. Next we divide the old denominator by the new denominator. So 1 goes into 8, 8 times. And next 8 x the numerator. so 8 x 12 = 96. We do the same to the other side. Now we have 96/8 - 65/8 = 31/8. Finally we make this a mixed number. So 31 divided by 8. So you should get 3 7/8. 

I hope this helps! :)
5 0
3 years ago
The sum of 3x and 14 equals the difference of 20 and 2x
KonstantinChe [14]

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6 0
3 years ago
Easy math!!! Do #13 and #14 (#15 optional)<br> Please show work!
Andru [333]
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This simplifies to:

A = 1000(1 + 0.07)^{3}

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A = 1000(1.07)^{3}

Plug this into a calculator:

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14. (x² + 3)(x - 3)(x + 3)

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(x² + 3)(x² - 9)

Then you do the FOIL method again to get:

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And combine like terms for your answer:

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Number 15 doesn't give you a number to set the polynomial (that results from multiplying those two binomials) equal to so I'm guessing it wants you to set said polynomial equal to zero and solve for x then plug back in. 

If not, your area is found by the equation 3x² - 5x - 12
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3 years ago
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