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3 years ago

14

An appliance store decreases the price of a 19-in television set 24% to a sale price of $468.16. What was the original price?

1 answer:

ANTONII [103]3 years ago

4 0

The original price of the television was $616.00

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What are the intercepts of y=8x-18

swat32

Answer:

$x-intercept=\frac{9}{4}$

$y-intercept=-18$

Step-by-step explanation:

The y-intercept is where x is equal to 0, and the x-intercept is where y is equal to 0, so:

$x-intercept=(x,0)\\y-intercept=(0,y)$

The equation is written in slope-intercept form:

$y=mx+b$

m is the slope and b is the y-intercept, so the y-intercept is -18.

Now set the value of y to 0 to find the intercept of x:

$0=8x-18$

Solve for x. Add 18 to both sides:

$0+18=8x-18+18\\18=8x$

Divide both sides by 8:

$\frac{18}{8}=\frac{8x}{8} \\\\\frac{18}{8} =\frac{9}{4}\\ \\x=\frac{9}{4}$

The x -intercept is $\frac{9}{4}$ .

$x-intercept=(\frac{9}{4},0)\\\\y-intercept=(0,-18)$

:Done

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$20x^2 + 50x + 20$

$GCF=10
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$10(\dfrac{20x^2}{10} + \dfrac{50x}{10} + \dfrac{20}{10}$

$10(2x^2+5x+2)$

$10(2x^2+4x+x+2)$

$10(2x(x+2)+(x+2))$

$10(x+2)(2x+1)$

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In a sale, the cost of a car is

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Which of the following equations is of a parabola with a vertex at (0, -5)?

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3 years ago

Write out the form of the partial fraction decomposition of the fraction. Do not determine the numerical values of the coefficie

anyanavicka [17]

Factorizing the denominator gives

$\dfrac{x^4}{(x^3+x)(x^2-x+7)} = \dfrac{x^4}{x(x^2+1)(x^2-x+7)} = \dfrac{x^3}{(x^2+1)(x^2-x+7)}$

Then the partial fraction decomposition would take the form

$\dfrac{x^4}{(x^3+x)(x^2-x+7)} = \dfrac{a_0x + b_0}{x^2+1} + \dfrac{a_1x + b_1}{x^2-x+7}$

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