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devlian [24]
3 years ago
9

Need help with What is F(x)=a*b^x please explain the steps

Mathematics
1 answer:
lubasha [3.4K]3 years ago
3 0

9514 1404 393

Answer:

  • 3
  • 3
  • (1,6)
  • 2
  • f(x) = 3·2^x

Step-by-step explanation:

The blanks you're to fill in explain the steps.

The y-intercept is the value of the function when x=0. It is where the graph crosses the y-axis.

  f(0) = a·b^0 = a·1 = a

Reading the y-intercept from the graph, we see ...

  The y-intercept is 3. The a-value of the function is 3.

__

The point when x=1 is ...

  f(1) = a·b^1 = 3b

Reading the value from the graph, we find the point to be (1, 6). This means ...

  3b = 6

  b = 2 . . . . . . . divide both sides by 3

 The point when x=1 is (1, 6). The b-value of the function is 2.

 The equation of the function is f(x) = 3·2^x.

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Find the surface area of a cylinder with a height of 7 m and a base radius of 6 m.
weqwewe [10]

Answer:

489.84 m²

Step-by-step explanation:

Area of one 2d circle: πr² ⇒ π6² ⇒ 36π ≈ 113.04 (using 3.14 for pi)

Area of both 2d circles: 113.04 + 113.04 =226.08 m²

Now we have to find the width of the rectangle, which is equal to the circumference of either circle:

Width of rectangle: 2πr ⇒ 2π6 = 12π ≈ 37.68 (using 3.14 for pi)

We can find the area of the rectangle now, since the length was given

Area of rectangle: 37.68· 7= 263.76 m²

Surface Area: 263.76+226.08= 489.84m²

Hopefully this helps!

6 0
3 years ago
Given that a = -1, b=2 and c= -3 ,find the value of a(b2+c2)
KiRa [710]

Answer:

a(b^{2}+c^{2}) = = -13

Step-by-step explanation:

Given that a = -1, b=2 and c= -3

find the value of a(b^{2}+c^{2})

Just substitute the values given for each variable

a(b^{2}+c^{2}) = (-1)(2^{2}+(-3)^{2}) ; do the exponents first

a(b^{2}+c^{2}) = (-1)(4+9)=(-1)(13) ; now add inside the parenthesis;

a(b^{2}+c^{2}) = -13 ; and multiply by -1

7 0
3 years ago
Ralph is 3 times as old as Sarah. in six years, Ralph will be only twice as old is Sarah will be then. find Ralphs age now.
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First, we start with the equation that the problem told us, which is:

R + 6 = 2 * (x + 6)

Then, we distribute the two:

R + 6 = 2x + 12

Now, we put R on its own side.

R = 2x +6

So, the answer must be C, 2x + 6
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