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givi [52]
3 years ago
13

Evaluate the function f(x)=4*7^x for x=-1 and x=2. show your work

Mathematics
1 answer:
Aleks04 [339]3 years ago
4 0
Remember, x^-1=1/x

so

f(-1)=4(7)^-1=4(1/7)=4/7
f(2)=4(7)^2=4(49)=196
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What is the distance rounded to the nearest tenth between the points (2 -2) and (6 3)
kotegsom [21]

Answer:

The distance between the points is approximately 6.4

Step-by-step explanation:

The given coordinates of the points are;

(2, -2), and (6, 3)

The distance between two points, 'A', and 'B', on the coordinate plane given their coordinates, (x₁, y₁), and (x₂, y₂) can be found using following formula;

l = \sqrt{\left (y_{2}-y_{1}  \right )^{2}+\left (x_{2}-x_{1}  \right )^{2}}

Substituting the known 'x', and 'y', values for the coordinates of the points, we have;

l_{(2, \, -2), \ (6, \, 3) } = \sqrt{\left (3-(-2)  \right )^{2}+\left (6-2  \right )^{2}} = \sqrt{5^2 + 4^2} = \sqrt{41}

Therefore, the distance between the points, (2, -2), and (6, 3) = √(41) ≈ 6.4.

4 0
3 years ago
The pyramid shown has a square base that is 14 centimeters on each side. The slant height is 15 centimeters. What is the surface
Ksenya-84 [330]
We know that

surface area=area of the base+4*[area of one lateral triangle side]

area of the base=b²
b is the side length of the square
b=14 cm
area of the base=14²-----> 196 cm²

area of one lateral triangle side=b*h/2
b is the side length of the square
b=14 cm
h is the height of the lateral triangle side
h is equal to the slant height 
h=15 cm

area of one lateral triangle side=14*15/2----> 105 cm²

surface area=196+4*[105]------> 616 cm²

the answer is
the surface area is 616 cm²
7 0
3 years ago
Which is a solution to the inequality y > 2 + 9x? Select all that apply.
creativ13 [48]
I know that’s a should be one of them
4 0
3 years ago
While testing a new vaccine, a lab technician noticed that the number of bacteria reduced by half every minute. How long does it
son4ous [18]
To start, find your equation, n=3000(.5)^t, n being your number of bacteria and t being your time. Now plug in 375 for n and solve for t, 375=3000(.5)^t, .125=.5^t, t=log_{.5} .125=3. This means your answer is 3 minutes. To check it, plug it into your equation. n=3000(.5)^t=3000(.125)=375
5 0
3 years ago
Jim is building a rectangular deck and wants the length to be 1 ft greater than the width. what will be the dimensions of the de
Travka [436]
Let x = width
x+1 is then the length

2x+2(x+1)=66
2x+2x+2=66
4x=64
x=16
deck will be 16x17, nice for a BBQ. :)
3 0
3 years ago
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