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mrs_skeptik [129]
3 years ago
10

Find the x-intercept and y-intercept of the graph of of the equation: y=8-3x

Mathematics
1 answer:
soldier1979 [14.2K]3 years ago
3 0

Answer:

x-intercept: x = 8/3

y-intercept: y = 8

Step-by-step explanation:

x-intercept

y = 8 - 3x

0 = 8 - 3x

3x = 8

x =  \frac{8}{3}

••••

y-intercept

y = 8 - 3x

y = 8 - 3 \times 0

y = 8

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A parabola is represented by the equation y2 = 5x. which equation represents the directrix?
ivann1987 [24]

The value of the directrix is -5/4.

According to the statement

we have given that the equation of parabola is y2 = 5x. And we have to find that the which equation represents the directrix.

We know that the general equation of parabola is

(y - k)2 = 4a(x - h)  -(1)

and given parabola equation is

y2 = 5x.  -(2)

After comparing the both equations we get k=0 and h=0

And the formula to find the directrix is

x = h - a

Substitute the values of h and a in it then

x = 0-5/4

x = -5/4.

Here the directrix is -5/4.

So, The value of the directrix is -5/4.

Learn more about the Parabola here brainly.com/question/4061870

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7 0
2 years ago
Solve the quadratic equation x2+8x−30=0 by completing the square.
diamong [38]

Answer:

               \bold{x=-4\pm\sqrt{46}}

Step-by-step explanation:

(a+b)^2=a^2+2ab+b^2\\\\\\x^2+8x-30=0\\\\\underbrace{x^2+2\cdot x\cdot 4+4^2}-4^2-30=0\\\\{}\qquad(x+4)^2\,-\,16-30=0\\\\{}\qquad\ \ (x+4)^2=46\\\\ {}\qquad\ \ x+4=\pm\sqrt{46}\\\\ {}\qquad\ \ x=-4\pm\sqrt{46}

5 0
3 years ago
Tarik rides a stationary bike and Janet rides her bike on a trail. Their data is shown
KiRa [710]

Answer:

Part a. The graph does not model a proportional relationship.

Part b. The values in table model a proportional relation.

3.5 minutes per mile.

Step-by-step explanation:

Part a.

The graph shown in the question representing Janet's data is not a straight line although it passes through the origin.

That is why the rate of change of distance with time is not constant.

Therefore, the graph does not model a proportional relationship.

Part b.

If we plot the data in the table using distance in miles along the y-axis and time in minutes along the x-axis, then we will get a straight line passing through the origin.

So, the values in the table model a proportional relation.

Now, Tarik's unit rate in minutes per miles will be \frac{7-0}{2-0} =3.5 minutes per mile. (Answer)

6 0
3 years ago
What is the slope-intercept form of the linear equation 2x + 3y = 6? Drag and drop the appropriate number, symbol, or variable t
aev [14]

Answer:

y=-\frac{2}{3}x+2

Step-by-step explanation:

y = -2/3 x + 2

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3 years ago
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Answer:

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Step-by-step explanation:

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2 years ago
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