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2 years ago

15

Suppose that (x1, y1) and (x2, y2) are two points on a linear function. Write the formula to find the function’s rate of change

for the interval [x1, x2].

1 answer:

Rashid [163]2 years ago

8 0

This is just the slope.
(y2 - y1)/(x2 - x1)

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Help me please its not d because it was wrong

gladu [14]

IT'S B..............;)

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3 years ago

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PLEASE HELP!!! Find the equation , in the standard form of the line passing through the points (3,-4) and (5,1)

ExtremeBDS [4]

$\bf \begin{array}{ccccccccc}
&&x_1&&y_1&&x_2&&y_2\\
% (a,b)
&&(~ 3 &,& -4~) 
% (c,d)
&&(~ 5 &,& 1~)
\end{array}
\\\\\\
% slope = m
slope = m\implies 
\cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{1-(-4)}{5-3}\implies \cfrac{1+4}{5-3}\implies \cfrac{5}{2}
\\\\\\
% point-slope intercept
\stackrel{\textit{point-slope form}}{y- y_1= m(x- x_1)}\implies y-(-4)=\cfrac{5}{2}(x-3)\implies y+4=\cfrac{5}{2}x-\cfrac{15}{2}$

$\bf y=\cfrac{5}{2}x-\cfrac{15}{2}-4\implies y=\cfrac{5}{2}x-\cfrac{23}{2}\impliedby 
\begin{array}{llll}
\textit{now let's multiply both}\\
\textit{sides by }\stackrel{LCD}{2}
\end{array}
\\\\\\
2(y)=2\left( \cfrac{5}{2}x-\cfrac{23}{2} \right)\implies 2y=5x-23\implies \stackrel{standard~form}{-5x+2y=-23}
\\\\\\
\textit{and if we multiply both sides by -1}\qquad 5x-2y=23$

side note: multiplying by the LCD of both sides is just to get rid of the denominators

5 0

2 years ago

The weekly pay that Melissa receives varies directly with the number of hours she works. If she works 34 hours she makes 274.04.

ohaa [14]

Answer:

Step-by-step explanation:

274.04/34=8.06(21)=169.26

6 0

2 years ago

One rectangle has a base of 12 inches and an altitude of 6 inches. The other has a base of 10 inches and an altitude of 5 inches

guajiro [1.7K]

Ratio of their bases = $$\frac{12}{10}$

Ratio of their altitudes = $$\frac{6}{5}$

<u>Step-by-step explanation:</u>

For first rectangle, it was given that

Base 1 = 12 inches

Altitude 1 = 6 inches

For the second rectangle, it was given that

Base 2 = 10 inches

Altitude 2 = 5 inches

Ratio of their bases is given by the ratio of the base of the first rectangle to the second one.

Ratio of their altitudes is given by the ratio of the altitude of the first rectangle to the altitude of the second rectangle.

Ratio of their bases = $$\frac{12}{10}$

Ratio of their altitudes = $$\frac{6}{5}$

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2 years ago

Can you subtract closed polynomials

netineya [11]

Answer:

Polynomials are closed under addition. When subtracting polynomials, the variables and their exponents do not change. Only their coefficients will possibly change. This guarantees that the difference has variables and exponents which are already classified as belonging to polynomials.

Step-by-step explanation:

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3 years ago

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