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2 years ago

Use intercepts to graph the line described by the equations-2x-4y=8

1 answer:

8 0

-- The x-intercept is the point where the line crosses the x-axis.
So y=0 there.

 -2x - 4y = 8
 -2x - 4(0) = 8
 -2x = 8

Divide each side by -2 : x = -4 => the x-intercept is (-4, 0)

-- The y-intercept is the point where the line crosses the y-axis.
So x=0 there.

 -2x - 4y = 8
 -2(0) - 4y = 8
 -4y = 8

Divide each side by -4 : y = -2 => the y-intercept is (0, -2)

Now you have two points on the graph ... the points where the line crosses each axis.

Mark little dots at both points, then lay your ruler across both dots, and draw
the line along the edge of the ruler, as far as you want to in both directions.

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Amanda [17]

Answer:

25π-24

Step-by-step explanation:

from the figure,

radius of the circle(r)=diameter of the circle(d)/2

=10/2

Area of the circle(A)=πr^2

=π5^2

=25π

Again,

base of the right angle triangle(b)=6

perpendicular of right angle triangle(p)=8

we also know,

the area of right angle triangle = 1/2*base*height

=1/2*6*8

=1/2*48

=48/2

=24

Now, Area of the shaded region=Area of circle - Area of right angle triangle (given in the figure)

Area of shaded region= 25π -24

5 0

1 year ago

5(p - 3) = 63 Who ever get this right Cash app 300 dollars to u

lesya [120]

Answer:

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8 0

2 years ago

Read 2 more answers

A clearance rack is marked as 60% off the regular price to be taken at the register. If a jacket on the clearance rack is marked

dezoksy [38]

Answer:

$399.98

Step-by-step explanation:

Given

Mark down percent = 60%

Mark down price = $239.99

Required

Original price of the rack

Let x be the original price of the product. The equation to get x is as expressed below;

60% of x = 239.99

0.6x = 239.99

x = 239.99/0.6

x = 399.98

Hence the rack will ring up for $399.98 at the register

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2 years ago

1. Express <img src="https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7Bx%282x%2B3%29%20%7D" id="TexFormula1" title="\frac{1}{x(2x+3) }" a

katovenus [111]

1. Let a and b be coefficients such that

$\dfrac1{x(2x+3)} = \dfrac ax + \dfrac b{2x+3}$

Combining the fractions on the right gives

$\dfrac1{x(2x+3)} = \dfrac{a(2x+3) + bx}{x(2x+3)}$

$\implies 1 = (2a+b)x + 3a$

$\implies \begin{cases}3a=1 \\ 2a+b=0\end{cases} \implies a=\dfrac13, b = -\dfrac23$

so that

$\dfrac1{x(2x+3)} = \boxed{\dfrac13 \left(\dfrac1x - \dfrac2{2x+3}\right)}$

2. a. The given ODE is separable as

$x(2x+3) \dfrac{dy}dx} = y \implies \dfrac{dy}y = \dfrac{dx}{x(2x+3)}$

Using the result of part (1), integrating both sides gives

$\ln|y| = \dfrac13 \left(\ln|x| - \ln|2x+3|\right) + C$

Given that y = 1 when x = 1, we find

$\ln|1| = \dfrac13 \left(\ln|1| - \ln|5|\right) + C \implies C = \dfrac13\ln(5)$

so the particular solution to the ODE is

$\ln|y| = \dfrac13 \left(\ln|x| - \ln|2x+3|\right) + \dfrac13\ln(5)$

We can solve this explicitly for y :

$\ln|y| = \dfrac13 \left(\ln|x| - \ln|2x+3| + \ln(5)\right)$

$\ln|y| = \dfrac13 \ln\left|\dfrac{5x}{2x+3}\right|$

$\ln|y| = \ln\left|\sqrt[3]{\dfrac{5x}{2x+3}}\right|$

$\boxed{y = \sqrt[3]{\dfrac{5x}{2x+3}}}$

2. b. When x = 9, we get

$y = \sqrt[3]{\dfrac{45}{21}} = \sqrt[3]{\dfrac{15}7} \approx \boxed{1.29}$

8 0

2 years ago

Need the answer to this

Olegator [25]

Answer:

4.5 per package

Step-by-step explanation:

Though they give us 4 different pairs of values on the table, we only need 1 pair to solve this question. For simplicity, lets chose the pair of whole numbers:

54 : 12

This is the ration of servings to packages, or the servings per package.

To get our answer, we must find how many servings per 1 package, so we need to divide by 12:

$\frac{54}{12} : \frac{12}{12}$

4.5 : 1

This means that there are 4.5 servings per 1 package!

Hope this helps!

4 0

2 years ago