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svlad2 [7]
3 years ago
6

What are the solutions of the equation? y=-7(x-3)(x+4)

Mathematics
1 answer:
Shkiper50 [21]3 years ago
3 0

Answer:

{-4, 3}

Step-by-step explanation:

To find "solutions," you must set this function equal to zero:

y = -7(x - 3)(x + 4) = 0

and then set each factor equal to 0 separately and solve each resulting equation for x:

x - 3 = 0 yields x = 3, and

x + 4 = 0 yields x = -4

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125% of what number equals 45? Answer: 36

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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
Triangle ABC is congruent to triangle DFE. Find y.
kirza4 [7]
Angles D and A are equal (from the statement bc the name of triangle starts with A and D)

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55 = 5y 
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y = 11
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3 years ago
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