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aleksandr82 [10.1K]
3 years ago
13

A proportional relationship between y and x. When x = 3, y=−4 .

Mathematics
1 answer:
Fantom [35]3 years ago
5 0

Answer:

k = 4/3

Step-by-step explanation:

Formula for k: <u>y</u><u>/</u><u>x</u>

If y = 4 and x = 3, then we use the formula (y/x) in order to find the constant of proportionality:

k = 4/3

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Surface area of a solid figure can be found by multiplying the area of the base by the height of the figure.
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Answer:

Surface area of a solid figure can be found by multiplying the area of the base by the height of the figure.

<em><u>it's false </u></em>

Step-by-step explanation:

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3 years ago
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Function f is an exponential function. It predicts the value of a famous painting, in thousands of dollars, as a function of the
nalin [4]

Answer:

y=8 \cdot (\frac{5}{4})^x

f(x)=8 \cdot (\frac{5}{4})^x

or

f(x)=8 \cdot (1.25)^x

Step-by-step explanation:

We are going to see if the exponential curve is of the form:

y=a \cdot b^x, (b\neq 0).

If you are given the y-intercept, then a is easy to find.

It is just the y-coordinate of the y-intercept is your value for a.

(Why? The y-intercept happens when x=0. Replacing x with 0 gives y=a \cdot b^0=a \cdot 1=a. This says when x=0 \text{ that} y=a.)

So a=8.

So our function so far looks like this:

y=8 \cdot b^x

Now to find b we need another point. We have two more points. So we will find b using one of them and verify for our resulting equation works for the other.

Let's do this.

We are given (1,10) is a point on our curve.

So when x=1, y=10.

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10=8 \cdot b

Divide both sides by 8:

\frac{10}{8}=b

Reduce the fraction:

\frac{5}{4}=b

So the equation if it works out for the other point given is:

y=8 \cdot (\frac{5}{4})^x

Let's try it.  So the last point given that we need to satisfy is (2,12.5).

This says when x=2, y=12.5.

Let's replace x with 2 and see what we get for y:

y=8 \cdot (\frac{5}{4})^2

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y=\frac{1}{2} \cdot 25}

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So we are good. We have found an equation satisfying all 3 points given.

The equation is y=8 \cdot (\frac{5}{4})^x.

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3 years ago
Is i5.71 a whole number
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No. 5 or 6 would be, though.
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Answer:

Step-by-step explanation:

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Answer:

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