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Grace [21]
3 years ago
7

I don't understand the question ... find an equation for the line with an x intercept of 4 and a y intercept of -2

Mathematics
2 answers:
IceJOKER [234]3 years ago
4 0
The answer is y=1/2x -2

-In order to find this, you need to find the slope first.
-Since the x-intercept is (4,0) and the y-intercept is (0,-2), we can use (y-y1)/(x-x1).
-So, (0 - -2)/(4 - 0) = 2/4 = 1/2 (this is the slope)
-Using y=mx+b, where m= the slope and b=the y-intercept, plug in 1/2 for m and -2 for b
-Now the equation is y=1/2x -2
____ [38]3 years ago
4 0


1. first find the slope from the two points (4,0) and (0,-2)

    the equation is  y2 -y1/ x2 - x1

2. From doing that you will get a slope of 1/2

3. Since we need a y intercept of -2, when you plug in x to the equation the y must equal -2

   the only equation that fits those needs is y = 1/2x - 2

4. You can check by plugging in x as 4(which should give you y = 0), or plug in x as 0(which should give you y = -2
 
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-BARSIC- [3]
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(x + 5)(y - 6) = 0 

(x + 5)(y - 6) = 0 :x

&#10;x+5=0&#10; &#10;  |Divide \ both \ sides \ by \ y-6| 

&#10;x=-5&#10; &#10;  |Subtract \ 5 \ from \ both \ sides|

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Solution =\ \textgreater \ x = -5, y = 6
6 0
3 years ago
A grocer wants to mix a type of spice which costs £22 per kilogram with another type
AfilCa [17]

Answer:

60

Step-by-step explanation:

let a = 22 / kg, and b = 12 / kg

a + b = 20 kg

22a + 12b = 15 * 20

12a + 12b = 240

10a = 60

8 0
2 years ago
Is 4y=16x a Direct variation
gizmo_the_mogwai [7]

In the given equation, as the value of <em>y</em> increase, the value of <em>x</em> also

increases.

  • Yes, 4·y = 16·x is a direct variation

Reasons:

A direct variation is a relationship that exists between two variables. It is

also known as a direct proportion which can be expressed as; y = k·x

Where <em>k</em> is a number

The given equation is 4·y = 16·x

Dividing both sides by 4 gives;

\displaystyle \frac{4 \cdot y}{4}  = \frac{16 \cdot x}{4} = \frac{4 \times 4 \cdot x}{4}

Which gives;

y = 4·x

Comparing the above equation with the equation for a direct variation gives;

y = 4·x

y = k·x

Therefore;

k = 4

The equation, y = 4·x, and therefore, the equation from which it is derived, 4·y = 16·x, is a direct variation.

Learn more about direct variation here:

brainly.com/question/6499629

6 0
3 years ago
I'll give brainliest!!
Elza [17]

Answer:

x>-2

3+4x>-5

4x>-5-3

4x>-8

x>-2

the answer is x>-2

6 0
3 years ago
Read 2 more answers
A jet ski company charges a flat fee of $24.00 plus $2.25 per hour to rent a jet ski. Another company charges a fee of $23.00 pl
Tju [1.3M]

Let

x----------> charge per hour to rent a jet sky in dollars

y----------> the total cost to rent a jet sky in dollars

we know that

<u>First Jet Sky Company</u>

y=24.00+2.25x ---------> equation 1

<u>Second Jet Sky Company</u>

y=23.00+2.50x ---------> equation 2

we know that

To find the number of hours for which the costs are the same

equate equation 1 and equation 2

The intersection both graphs is the solution of the problem

using a graph tool

see the attached figure  

the intersection point is (4,33)

That means

For x=4\ hours

the cost of the rent is y=\$33 in both companies

therefore

<u>the answer is</u>

4\ hours

7 0
3 years ago
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