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vivado [14]
3 years ago
5

Find f(-2) for f(x) = 2*3^x

Mathematics
2 answers:
andrezito [222]3 years ago
7 0

Answer:

2/9 so B

Step-by-step explanation:

apex

denis-greek [22]3 years ago
4 0

f(x) = 2 \cdot 3^x

f(-2) = 2 \cdot 3^{-2} = 2 \cdot \dfrac{1}{3^2} = \dfrac 2 9

Answer: B

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Find the distance between each pair of points. Round your answer to the nearest tenth, if necessary. Hint: Use the Pythagorean T
Paul [167]

The distance between two points on the plane is given by the formula below

\begin{gathered} A=(x_1,y_1),B=(x_2,y_2) \\ \Rightarrow d(A,B)=\sqrt[]{(x_1-x_2)^2+(y_1-y_2)^2} \end{gathered}

Therefore, in our case,

A=(-1,-3),B=(5,2)

Thus,

\begin{gathered} \Rightarrow d(A,B)=\sqrt[]{(-1-5)^2+(-3-2)^2}=\sqrt[]{6^2+5^2}=\sqrt[]{36+25}=\sqrt[]{61} \\ \Rightarrow d(A,B)=\sqrt[]{61} \end{gathered}

Therefore, the answer is sqrt(61)

In general,

-(-n)=n

Remember that

-n=(-1)\cdot n

Therefore,

\begin{gathered} a-(-n)=a+(-1)(-n)=a+(-1)(-1\cdot n)=a+(-1)^2\cdot n=a+1\cdot n=a+n \\ \Rightarrow a-(-n)=a+n \end{gathered}

6 0
1 year ago
What is the equation of the line that passes through points (15,9) and (-2,9)
Vikki [24]

Answer:

y=9

Step-by-step explanation:

Slope: 9-9/-2-15=0

Therefore, y=0x+b

Plug values in: 9=0(-2)+b

0+b=9

b=9

Therefore, equation is y=9

7 0
3 years ago
HELP ME PLEASE I NEED ANSWERS REALLY FAST I'LL GIVE BRAINLIEST TO THE CORRECT ANSWER SO PLEASE HELP ME!!!!
GuDViN [60]

Answer:

B

Step-by-step explanation:

These lines dont cross CD and are not parrellel which is what skew lines are.

3 0
3 years ago
An engineer on the ground is looking at the top of a building. The angle of elevation to the top of the building is 22°. The eng
Pavlova-9 [17]
Let the distance from the engineer to the base of the building be x, then
tan 22 = 450/x
x = 450/tan 22 = 1,113.79

Therefore the distance from the engineer to the base of the building to the nearest foot = 1,114 feet
5 0
3 years ago
There is a bag filled with 4 blue and 5 red marbles.
kkurt [141]

Answer:

  • 5/9

Step-by-step explanation:

There are 4 blue, 5 red and total of 9 marbles.

<u>If two marbles are taken and we are looking for exactly one red, then it is:</u>

  • red, then blue or blue, then red

<u>Find the probability of each case:</u>

  • P(r, b) = 5/9*4/8 = 5/18
  • P(b, r) = 4/9*5/8 = 5/18

<u>Probability of exactly one red:</u>

  • P = 5/18*2 = 5/9
6 0
3 years ago
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