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masya89 [10]
3 years ago
6

What are the values of f(x) = 9^x when x= -2? a) 1/81 b) 81 c) 1/18 d) 18

Mathematics
2 answers:
Novosadov [1.4K]3 years ago
4 0

Answer:

(a)

Step-by-step explanation:

using the rule of exponents

• a^{-m} ⇔ \frac{1}{a^{m} }, hence

9^{-2} = \frac{1}{9^{2} } = \frac{1}{81} → (a)


bazaltina [42]3 years ago
4 0

Answer:

A. 1/81

Step-by-step explanation:

  1. f(x)=9^x    (Original problem)
  2. x= -2 .      ( Exponent (x) equals to -2)
  3. 9^-2         (Plug -2 into x)

Since the exponent is negative, the final answer is a reciprocal and the exponent becomes positive.

4. 1/(9^2)            ( Reciprocal of 9^-2)

= 1/81                  ( Simplify 1/9^2 = 1/9^2)

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Mazyrski [523]

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Step-by-step explanation: Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    p-(2*q-30)=0  

Solve   p-2q+30  = 0

we have an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).

"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.

In this formula :

y tells us how far up the line goes

x tells us how far along

m is the Slope or Gradient i.e. how steep the line is

b is the Y-intercept i.e. where the line crosses the Y axis

The X and Y intercepts and the Slope are called the line properties. We shall now graph the line  p-2q+30  = 0 and calculate its properties

Notice that when p = 0 the value of q is 15/1 so this line "cuts" the q axis at q=15.00000

 q-intercept = 30/2  =  15

When q = 0 the value of p is -30/1 Our line therefore "cuts" the p axis at p=-30.00000

 p-intercept = -30/1  = -30.00000

Slope is defined as the change in q divided by the change in p. We note that for p=0, the value of q is 15.000 and for p=2.000, the value of q is 16.000. So, for a change of 2.000 in p (The change in p is sometimes referred to as "RUN") we get a change of 16.000 - 15.000 = 1.000 in q. (The change in q is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)

   Slope     =  1.000/2.000 =  0.500

7 0
3 years ago
Find the equation of a line that passes through the points (-1,-5) and (-3,-4). Leave your answer in the form y=mx+c
MaRussiya [10]

Answer:

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Step-by-step explanation:

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1/ -2

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y = -1/2x + b

-5 = -1/2(-1) + b

-5 = 1/2 + b

-11/2 = b

8 0
2 years ago
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