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3 years ago

58 is 20% ofhaving trouble

1 answer:

6 0

First, let's introduce a variable:

Let n represent the number we are trying to find.

20 % x n = 58
0.20 x n = 58
0.20n = 58
n = 290

Therefore, 58 is 20% of 290.

Hope this helps!
Message me if you have any questions. :)

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What is the product in lowest terms ?

Fantom [35]

$-\dfrac{5}{12}\cdot\dfrac{8}{13}=-\dfrac{5}{3}\cdot\dfrac{2}{13}=-\dfrac{10}{39}\to\boxed{B.)}$

5 0

3 years ago

Read 2 more answers

Find the equations of the tangents to the curve y = x²-x-12 at each of the points where the curve crosses the x-axis.

poizon [28]

Step-by-step explanation:

First, find the zeroes of the parabola

${x}^{2} - x - 12$

${x}^{2} - 4x + 3x - 12$

$x(x - 4) + 3(x - 4)$

$(x + 3)(x - 4) = 0$

$x = - 3$

$x - 4 = 0$

$x = 4$

So the zeroes or where the curve crosses the x axis is at 4 and -3.

Now, we take the derivative of the function.

$\frac{d}{dx} ( {x}^{2} - x - 12) = 2x - 1$

Plug in -3, and 4 into the derivative function

$2( - 3) = - 7$

$2(4) - 1 = 7$

So at x=-3, our slope of the tangent line is -7 and must pass through (-3,0). So we use point slope formula.

$y - y _{1} = m(x - x _{1})$

$y - 0 = - 7(x - ( - 3)$

$y = - 7x - 21$

At x=4, our slope of tangent line is 7, and pass through (4,0) so

$y - 0 = 7(x - 4)$

$y = 7x - 28$

So the equations of tangent is

$y = - 7x - 21$

$y = 7x - 28$

6 0

2 years ago

The regular price of a child's entry ticket to a water park is $9 less than that for an adult's. The park offers half off all en

ser-zykov [4K]

The regular price of a child's ticket is $51

Explanation

If $x$ represents the regular price of an adult ticket, then the regular price of a child's ticket $=(x-9)$

Given equations is: $132=\frac{1}{2}x+2(x-9)$

Solving the above equation, we will get...

$132=\frac{1}{2}x+2(x-9)\\ \\ 132=\frac{1}{2}x+2x-18 \\ \\ 132=\frac{5}{2}x-18\\ \\ 132+18=\frac{5}{2}x\\ \\ 150= \frac{5}{2}x\\ \\ 300=5x\\ \\ x= \frac{300}{5}=60$

So, the regular price of a child's ticket $=x-9=60-9= 51$ dollar.

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3 years ago

on a piece of paper graph y=(x+2)(x-3) then determine which answer choice best matches the graph you drew. Provide an explanatio

ioda

Answer:

option C

Step-by-step explanation:

Given :-

y = (x + 2)( x -3)

And we need to tell which graph best matches the graph we drew. Firstly let's convert it into a quadratic equation by opening and simplifying the brackets.

$:\implies$ y = ( x + 2) ( x - 3)

$:\implies$ y = x ( x - 3)+2( x - 3)

$:\implies$ y = x² - 3x + 2x -6

$:\implies$ y = x² - x - 6

Now plot its graph. For that refer to attachment.

Things we can interpret :-

The constant in the equation is -6. So the graph will cut y axis 6 units below the X axis . At (-6,0)
From the given options , option C matches the above point .

Therefore the correct option is (C) .

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3 years ago

What is the measure of Xyz?

kiruha [24]

Answer: d

Step-by-step explanation:

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2 years ago