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bogdanovich [222]
3 years ago
7

How many solutions does y=2x+2,4x-2y=4 have?

Mathematics
1 answer:
Leni [432]3 years ago
8 0
Write as a system y= 2 x + 2.4x - 2y = 4

{y = 4
{2x + 2.4x - 2y = 4

Substitute the value of y into the equation

2x + 2.4x - 2 x 4 = 4

Solve the equation

x= 30/ 11

A possible solution is

(x, y) = (30/11, 4)

Check the solution

4 = 2 x 30/11+ 2.4 x 30/11 - 2 x 4 = 4

Simplify the expression

4 = 4 = 4

The ordered pair is a solution

(x, y) = ( 30/11, 4)



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Find the unit rate. Enter your answer as a mixed number.
lesya [120]

The unit rate is the change of a quantity over one unit of another thus the unit rate of fertilizer covers is (30/8) foot per hour.

<h3>What is the rate of change?</h3>

The rate of change is the change of a quantity over 1 unit of another quantity.

Most of the time the rate of change is the change with respect to time.

For example the speed 3meter/second.

As per the given,

A fertilizer covers 5/8 square feet in 1/6 hour.

5/8 square feet ⇒ 1/6 hour

Multiply both sides by 6

6 × 5/8 square feet ⇒ 6/6 hour

30/8 square feet ⇒ 1 hour.

Hence "The unit rate is the change of a quantity over one unit of another thus the unit rate of fertilizer covers is (30/8) foot per hour".

To learn more about the rate of change here,

brainly.com/question/12786410

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5 0
1 year ago
Consider the function f(x)= 1-|x-1|+|x+1| for -3&lt;x&lt;3. Recall that the absolute function can be represented as a piece wise
Kruka [31]
By the definition for the absolute value,

|x-1|=\begin{cases}x-1&\text{for }x\ge1\\-(x-1)&\text{for }x
|x+1|=\begin{cases}x+1&\text{for }x\ge-1\\-(x+1)&\text{for }x

So for the compound function f(x)=1-|x-1|+|x+1|, there are three intervals to consider. What happens when x? when -1\le x? when x\ge1?

You have

f(x)=\begin{cases}1-(-(x-1))+(-(x+1))=-1&\text{for }x
8 0
3 years ago
25 points plus will mark brainliest!!!<br><br>Find angle ABD.<br>​
Sloan [31]

Step-by-step explanation:

Remember that angles in the same segment are equal.

In here, AD is the segment, which means that angle ACD = angle ABD = 28°.

5 0
2 years ago
Find the slip of the line through each pair of points (11,6),(14,17)
kenny6666 [7]
I’m assuming you’re asking for the slope which is 3/4
3 0
3 years ago
What is 52 divided by 8 incluing remainder?
joja [24]
8*6=48.  8*7=56.  So the highest multiplication you can go without exceeding the value of 52 is 8*6.  You then need to subtract 52 by 48 to find the remainder.  52-48=4.  So the answer would be 48 remainder 4
8 0
3 years ago
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