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notka56 [123]
3 years ago
8

Determine the x- and y-intercepts of the graph of y=1/4 x−2

Mathematics
2 answers:
JulsSmile [24]3 years ago
8 0
First question : x=8 and y= -2
and once again, i dont know how t make a table
erica [24]3 years ago
5 0

Answer:


Step-by-step explanation:

Problem A

Basically all you have to do is put in 0 for x to give the y intercept and

0 in for y to give the x intercept. Here we go

x intercept

y =0

0 = (1/4)x -2     Add 2

2 = (1/4)x          Multiply both sides by 4

2*4 = x              Combine and switch

x = 8

===============

x = 0

y = (1/4)*0  - 2

y = -2

Intercept points

x_intercept: (8,0)

y_intercept: (0, - 2)

Problem 2

Essentially you make up the table by using random numbers meaning any number for x and solve for y.

x = -3

y = (-1/-3)(-3) + 1

y = -3/-3 + 1

y = 1 + 1

y = 2

--------------

y = 6

y = (-1/3)*6 + 1

y = -6/3 + 1

y = - 2 + 1

y = - 1

----------------

two other points are

(0,1) and

(-6,3)

To create the graph go to Desmos.

The red graph is y = (1/4)x - 2 The two intercepts are marked.

The blue graph is y = (-1/3)x + 1

The 4 points from the table  are on the blue line. The table is on your left.

If you see a mistake let me know. This is the noisiest place I've ever been in.


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The line x = k intersects the graph of the parabola x = -2y^2 - 3y + 5 at exactly one point. What is k? Thank you! :)
bearhunter [10]

Answer:

49/8 is the value of k

Step-by-step explanation:

We have the system

x = -2y^2 - 3y + 5

x=k

We want to find k such that the system intersects once.

If we substitute the second into the first giving us k=-2y^2-3y+5 we should see we have a quadratic equation in terms of variable y.

This equation has one solution when it's discriminant is 0.

Let's first rewrite the equation in standard form.

Subtracting k on both sides gives

0=-2y^2-3y+5-k

The discriminant can be found by evaluating

b^2-4ac.

Upon comparing 0=-2y^2-3y+5-k to 0=ax^2+bx+c, we see that

a=-2, b=-3, and c=5-k.

So we want to solve the following equation for k:

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Divide both sides by 8"

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6 0
3 years ago
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