Answer:
The two intersections would be (3, 10) and (-2, 0)
Step-by-step explanation:
To solve this system of equations, set the two equations equal to each other and solve for x.
2x + 4 = x^2 + x - 2
2x = x^2 + x - 6
0 = x^2 - x - 6
0 = (x - 3)(x + 2)
Now set the parenthesis equal to zero to get the x values.
x - 3 = 0
x = 3
x + 2 = 0
x = -2
Now we know the x values of each interception. We can find the y values by plugging into either equation.
y = 2x + 4
y = 2(3) + 4
y = 6 + 4
y = 10
y = 2x + 4
y = 2(-2) + 4
y = -4 + 4
y = 0
this is for question 3 if she purchased 2 pairs of shoes at $50 each then thats $100 for both then adding $30.00 for the dress and $20.00 for the pair of trousers your total WITHOUT sales tax is $150.00
to calculate sales tax you would multiply 4% with 150 (your total sales equaling 6
(0.04 x150=6)
lastly add 6 (your calculated sales tax) to your total sale price
getting a final answer of $156.00
Answer:
B. The amount spent on grapes compared with the weight of the purchase.
Step-by-step explanation:
Grapes are usually sold at some dollar amount per pound. That dollar amount is the "rate of change," and it is generally constant.
___
In the case of pizza delivery or bus ridership, it is hard to imagine what the "rate of change" might be, as the relationship is probably <u>not</u> a function.
1:
y = 2x
x + y = 6
3x = 6
<u>x= 2</u>
<u>y = 4</u>
<u />
2:
y = 2x - 5
x + y = 4
x + 2x - 5 = 4
x + 2x = 9
3x = 9
<u>x = 3</u>
<u>y = 1</u>
<u />
3:
x + y = 7
2x - y = 5
x = 7 - y
2x = 14 - 2y
14 - 2y - y = 5
- 9 = - 3y
3y = 9
<u>y = 3</u>
<u>x = 4</u>
<u />
4:
x + 9y = - 6
2x - 9y = 15
9y = 2x - 15
x + 2x - 15 = - 6
3x = 9
<u>x = 3</u>
<u>y = - 1</u>
<u />
5:
x + 2y = 4
y = 2x + 7
2y = 4x + 14
x + 4x + 14 = 4
5x = - 10
<u>x = - 2</u>
<u>y = 3</u>
<u />
6:
x - 4y = 16
y = 1 - x
4y = 4 - 4x
x - 4 + 4x = 16
5x = 20
<u>x = 4</u>
<u>y = -3</u>
<u />
7:
4x - y = 10
x + y = 5
y = 4x - 10
x + 4x - 10 = 5
5x = 15
<u>x=3</u>
<u>y = 2</u>
<u />
8:
2x + y = 10
3x = y
y = 10 - 2x
10 - 2x = 3x
10 = 5x
<u />
<u>x = 2</u>
<u>y = 6</u>
<u />
9:
-5x - y = 20
y = 3x
y = - 5x - 20
-5x - 20 = 3x
8x = - 20
2x = - 5
<u>x = - 2.5</u>
<u>y = - 7.5</u>
<u />
10:
2x - y = -1
x = 17 - 3y
y = 2x + 1
3y = 6x + 3
17 - 6x - 3 = x
14 = 7x
<u>x = 2</u>
<u>y = 3</u>
<u />
11:
3x + y = 3
y = 2x - 7
y = 3 - 3x
3 - 3x = 2x - 7
10 = 5x
<u>x = 2</u>
<u>y = - 3</u>
<u />
12:
2x + 3y = 17
3x - 2y = - 0.5
2y = 3x + .5
y = 1.5x + .25
3y = 4.5x + .75
2x + 4.5x + .75 = 17
16.25 = 6.5x
16.25 / 6.5 = x
<u>x = 2.5</u>
<u>y = 4</u>
<u />
13:
x - 2y = 5
3x + 2y = 23
3x = 15 + 6y
15 + 6y + 2y = 23
8 = 8y
<u>x = 7</u>
<u>y = 1</u>
<u />
14:
2x = 5y + 8
3x + 2y = 31
x = 2.5y + 4
3x = 7.5y + 12
7.5y + 12 + 2y = 31
9.5y = 19
y = 19 / 9.5
<u />
<u>x = 9</u>
<u>y = 2</u>
<u />
took a lot of time so please give brainliest
Answer:
4 and 8
Step-by-step explanation:
You don't need the surface area to find the edge length of a cube. Length of edge = ∛volume
Cube 1:
Length of each edge = ∛64 = 4 in.
Area of each face = 4² = 16 in².
Surface area = 6×16 = 96 in².
Cube 2:
Length of each edge = ∛512 = 8 in
Area of each face = 8² = 64 in²
Surface area = 6×64 = 384 in²
So the surface area is in the ratio 1:4
