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Shalnov [3]
3 years ago
7

Which exponential function goes through the points (1, 16) and (4, 128)?

Mathematics
1 answer:
djyliett [7]3 years ago
7 0

Answer:

Here is the complete question (attachment).

The function which represent the given points are f(x)=8(2)^{x}

Step-by-step explanation:

We know that a general exponential function is like,y=a(b)^{x}

We can find the answer by hit and trial method by plugging the values of (x,y) coordinates.

Here we are going to solve this with the above general formula.

So as the points are (1,16) then for x=1,\ y=16

Can be arranged in terms of the general equation.

ab^1=16...equation(1) and ab^4=128...equation(2)

a\times b=16, then\ a=\frac{16}{a}

Plugging the values in equation 2.

We have

\frac{16}{b} b^4=128,16\times b^3=128,b=\sqrt[3]{\frac{128}{16}} =\sqrt[3]{8}=2

Plugging b=2 in equation 1.

We have a=\frac{16}{b} =\frac{16}{2} =8

Comparing with the general equation of exponential a=8 and b=2

So the function which depicts the above points =y=8(2)^x

From theoption we have B as the correct answer.

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Step-by-step explanation:

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3 years ago
A rope is 72 feet long. What is the length of the rope in yards
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Solve the algebraic equation: 2x + 4 = -16​
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-10

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Read 2 more answers
If the largest angle of a triangle is 120° and it is included between sides of 1.5 and 0.5, then (to the nearest tenth) the larg
12345 [234]

Answer:

1.8 units.

Step-by-step explanation:

The questions which involve calculating the angles and the sides of a triangle either require the sine rule or the cosine rule. In this question, the two sides that are given are adjacent to each other and the given angle is the included angle. This means that the angle is formed by the intersection of the two lines. Therefore, cosine rule will be used to calculate the length of the largest side of the triangle. The cosine rule is:

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The question specifies that a=0.5, B=120°, and c=1.5. Plugging in the values:

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Simplifying gives:

b^2 = 3.25.

Taking square root on the both sides gives b = 1.8 (rounded to the nearest tenth).

This means that the length of the third side is 1.8 units!!!

3 0
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Which is the correct answers? (more than one)
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B True because both graphs approaches x=0 but never touches it

E True if you just graph it out you can see that graph of g is going down and the graph of x is going up

A false because neither of the equations have a y intercept they have asymptote of x=0

C false because it is also a reflection across the x axis

D incorrect is because they both have domain {0<x<♾}

Hope this helped!

6 0
3 years ago
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