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Murljashka [212]
2 years ago
9

I get stuck whit these I don’t get how to do them

Mathematics
1 answer:
ZanzabumX [31]2 years ago
5 0
The solution to the equations is where the graphs of the two functions intersect. We can't trust the graph because it's not clear. We have to solve the system of inequalities. Let's solve for x in the first equation:
y \leq 2x-2
y +2 \leq 2x
\frac{y+2}{2} = x

Plug that into the second equation for x:
y \leq ( \frac{y+2}{2})^2-3(\frac{y+2}{2})
\frac{y^2+4y+4}{4}- \frac{3y-2}{2} = \frac{y^2+4y+4}{4}- \frac{6y-4}{4}
y \leq\frac{y^2-2y}{4} 
0 \leq y^2-2y-4y
0 \leq y(y-6)
6 \leq y

Now, plug this back into the first equation to solve for x:
6 \leq 2x-2
8 \leq 2x
4 \leq x

So, the solution to that system is (4, 6) which looks like the D.

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The width of a rectangle is 3x – 3. Its perimeter is 10x + 6. Find the length of the rectangle.
maks197457 [2]

Step-by-step explanation:

The first possibility

2(width) + 2(length) = perimeter

2(3x-3) + 2(length) = 10x+6

6x - 6 + 2(length) = 10x+6

2(length) = 4x + 12

length = 2x + 6

The second possibility.

rondhesha chodado in The width of a rectangle is 3x – 3. Its perimeter is 10x + 6. Find the length of the rectangle.

So you have the perimeter, P, can be found by doing u+u+v+v.

Simplifying gives:

P=2u+2v.

You are given the width is (3x-3).  Choose this to be u or v but not both.

Perimeter is given a (10x+6).

Let's plug this in:

(10x+6)=2(3x-3)+2v

We are solving for v.

First step: Distribute where you can:

10x+6=6x-6+2v

Now we want to isolate v.

So we will need to subtract (6v-6) on both sides:

 (10x+6)=2v

- (6x -6)

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

4x+12  =2v

The right hand side contains a factor of 2.

The left hand side does too since 4x+12 can be factored as 2(2x+6).

2(2x+6)=2v

This implies v is 2x+6.

Let's check our work.

We have two sides with measurement 2x+6:  (2x+6)+(2x+6)=4x+12

We have two sides with measurement 3x-3:   (3x-3)+(3x-3)=  6x-6

Let's add those sums to find the perimeter:                             10x+6

That is the intended 

3 0
2 years ago
PLEASE HELP.
pentagon [3]

Let x represent the number of shirts. Let y represent the number of pens.

If shirts are on sale for $11.99 each, then x shirts cost $11.99x.

If pants are on sale for $12.99 each, then y pants cost $12.99y.

The total cost is $(11.99x+12.99y).

Sarah can spend up to $65. Then an inequality that represents this situation is

11.99x+12.99y≤65 (this inequality holds when Sarah can spend $65 too)

or

11.99x+12.99y<65 (this inequality holds when Sarah can spend less than $65).

3 0
3 years ago
An electric guitar is on sale at 40% off. if the sale price is 179.94 ,what is the original.
n200080 [17]
Let x = original price
Knowing that multiplying the original price and the discount is the discount price. We formulate:
x(1 - 0.40) = 179.94
x(0.60) = 179.94
x = 179.94/0.60
x = 299.9
That is about 300 of the original price.
7 0
3 years ago
Solve 3/4•1/7 in lowest terms
emmasim [6.3K]

Answer:

3/28

Step-by-step explanation:

\frac{3}{4}*\frac{1}{7}=\frac{3}{4*7}=\frac{3}{28}

that dot is a multiplication sign, right?

3 0
3 years ago
the bells at Kings school ring every 6 mins. at queens school the bell ring every 5 mins. at princess school the bell rings ever
atroni [7]
8:40 is the next time all three bells will ring together
5 0
2 years ago
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