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3 years ago

The graph of a function with a y-intercept of -4 and a rate of change of 10

Mathematics

1 answer:

jekas [21]3 years ago

6 0

Using y=Mx+b, the answer is y=10x-4.

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irina [24]

2/3 cup pineapple for every 1/3 cup OJ

there are three 1/3 cups in 1 cup

so multiply 2/3 by 3

2/3 * 3 = 6/3 = 2

2 cups of pineapple juice is needed

5 0

3 years ago

Find the equation of an exponential function in the form y = ab^x, given the points (0, 3) and (2, 108/25). Please simplify your

lilavasa [31]

We have the equation:

$y=a\cdot b^x$

We know two points and we will use them to calculate the parameters a and b.

The point (0,3) will let us know a, as b^0=1.

$\begin{gathered} y=a\cdot b^x \\ 3=a\cdot b^0=a \\ a=3 \end{gathered}$

Now, we use the point (2, 108/25) to calcualte b:

$\begin{gathered} y=3\cdot b^x \\ \frac{108}{25}=3\cdot b^2 \\ 3\cdot b^2=\frac{108}{25} \\ b^2=\frac{108}{25\cdot3}=\frac{108}{3}\cdot\frac{1}{25}=\frac{36}{25} \\ b=\sqrt[]{\frac{36}{25}} \\ b=\frac{\sqrt[]{36}}{\sqrt[]{25}} \\ b=\frac{6}{5} \end{gathered}$

Then, we can write the equation as:

$y=3\cdot(\frac{6}{5})^x$

5 0

1 year ago

Write in point-slope form an equation of the line that passes through the

QveST [7]

Answer:

$y+6 = - 5(x-4)$

Step-by-step explanation:

With the given information, use the point-slope formula $y-y_1 = m (x-x_1)$ to write the equation of the line. Substitute values for the $m$ , $x_1$ , and $y_1$ to find the answer.

$m$ represents the slope, so substitute -5 in its place. The $x_1$ and $y_1$ represent the x and y values of one point the line intersects, so substitute 4 for $x_1$ and -6 for $y_1$ . This gives the following equation:

$y+6 = - 5(x-4)$

3 0

3 years ago

Curtis measured heights of each person in his class and collect their shoe size. he created the scatter plot.

topjm [15]

The correct answer is A based on the line of best fit

Hope this helped :)

6 0

3 years ago

A small fly weighs approximately 2.2 • 10^-3 gram and an average sized gnat weighs approximately 9•10^-4

sineoko [7]

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3 years ago