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3 years ago

PLEASE HELP !!

Mathematics

1 answer:

KATRIN_1 [288]3 years ago

6 0

Answer:

Option D

Step-by-step explanation:

when two points are given and we are asked to find the equation of a line passing through those points we use two-point form to arrive at the answer.

Let $(x_1,y_1)$ and $(x_2, y_2)$ be two points that passes through a line. Then the equation of the line is given by:

$\frac{y - y_1}{y_2 - y_1} = \frac{x - x_1}{x_2 - x_1}$

Here $(x_1, y_1) = (-5, 10)$ and $(x_2,y_2) = (2, 8)$

Therefore, $\frac{y - 10}{-2} = \frac{x + 5}{7}$

$$ \implies 7y - 70 = -2x - 10 $\\$ \implies 7y = - 2x + 60 $\\$ y = \frac{-2}{7}x + \frac{60}{7}$

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3 years ago

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Written as a simplified polynomial in standard form, what is the result when (3x+7)^2 is subtracted from 3?

nadezda [96]

Given:

$(3x+7)^2$ is subtracted from 3.

To find:

The result of the given statement in the standard form of the polynomial.

Solution:

We need to find the result when $(3x+7)^2$ is subtracted from 3.

So, the resulted polynomial can be written as:

$P(x)=3-(3x+7)^2$

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$P(x)=3-((3x)^2+2(3x)(7)+(7)^2)$ $[\because (a+b)^2=a^2+2ab+b^2]$

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2 years ago

A 100 gallon fish tank fills at a rate of x gallons per minute. The tank has already been filling for 5 minutes. the function f(

Alexxx [7]

Answer:

Shifted 5 unit right side then stretched vertically by the factor 100

Step-by-step explanation:

Here, parent function,

$f(x)=\frac{1}{x}$

Transformed function,

$f(x) = \frac{100}{x-5}$

Since, if a function f(x) gives cf(x), where c is any number,

Then the function was vertically stretched by factor c,

While, the function gives f(x-c),

Then the function was shifted c unit right.

Hence, the graph of $f(x)=\frac{1}{x}$ was shifted 5 unit right side then stretched vertically by the factor 100 to create the graph of $f(x)=\frac{100}{x-5}$