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3 years ago

14

Victor got 24 out of 30 correct on his math test. What percent did Victor get correct?

1 answer:

Snowcat [4.5K]3 years ago

8 0

Answer:

$\frac{24}{30}$ x 100 = 80%

Step-by-step explanation:

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Step-by-step explanation:

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3 years ago

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A curve passes through the point (0, 5) and has the property that the slope of the curve at every point P is twice the y-coordin

Anit [1.1K]

Answer:

$y=5e^{2x}$

Step-by-step explanation:

Let (x,y) represents a point P on the curve,

So, the slope of the curve at point P = $\frac{dy}{dx}$

According to the question,

$\frac{dy}{dx}=2y$

$\frac{1}{y}dy=2dx$

Integrating both sides,

$\int \frac{dy}{y}=2dx$

$ln y=2x+ln C$

$ln y-ln C = 2x$

$ln(\frac{y}{C})=2x$

$\frac{y}{C}=e^{2x}$

$\implies y=Ce^{2x}$

Since, the curve is passing through the point (0, 5),

$5=Ce^{0}\implies C=5$

Hence, the required equation of the curve is,

$y=5e^{2x}$

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4 years ago

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Answer:

Exponential Function

Step-by-step explanation:

If you graph the numbers you'll get an exponential function graph. Hope this helps!

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3 years ago

Divide the following:

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3 years ago

Are the equations 2x - y = - 4 and 3x + y = -1 dependent, independent or neither

steposvetlana [31]

Answer:

From the above calculations, it is clear that the consistent system has exactly one solution i.e. x = -1, y =2, therefore, it is independent.

Step-by-step explanation:

Given the system of equations

$\begin{bmatrix}2x-y=-4\\ 3x+y=-1\end{bmatrix}$

$\mathrm{Multiply\:}2x-y=-4\mathrm{\:by\:}3\:\mathrm{:}\:\quad \:6x-3y=-12$

$\mathrm{Multiply\:}3x+y=-1\mathrm{\:by\:}2\:\mathrm{:}\:\quad \:6x+2y=-2$

$\begin{bmatrix}6x-3y=-12\\ 6x+2y=-2\end{bmatrix}$

$6x+2y=-2$

$-$

$\underline{6x-3y=-12}$

$5y=10$

so the system of equations becomes

$\begin{bmatrix}6x-3y=-12\\ 5y=10\end{bmatrix}$

solving 5y = 10 for y

$5y=10$

Divide both sides by 5

$\frac{5y}{5}=\frac{10}{5}$

simplify

$y=2$

$\mathrm{For\:}6x-3y=-12\mathrm{\:plug\:in\:}y=2$

$6x-3\cdot \:2=-12$

$6x-6=-12$

Adding 6 to both sides

$6x-6+6=-12+6$

$6x=-6$

Divide both sides by 6

$\frac{6x}{6}=\frac{-6}{6}$

$x=-1$

Therefore, the solution to the system of equations be:

$x=-1,\:y=2$

From the above calculations, it is clear that the consistent system has exactly one solution i.e. x = -1, y =2, therefore, it is independent.

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3 years ago