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3 years ago

Use Distributive Property: -8 (2y - 3)

Mathematics

1 answer:

attashe74 [19]3 years ago

4 0

Step-by-step explanation: First change the minus inside to plus a negative.

Now we can distribute the -8 through each

of the terms inside the set of parenthses.

So we have -8(2y) + -8(-3) or -16y + 24.

Take a look below.

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If 3x + 5y = 2 and 2x - 4y = 20, what is 5x - y?

gavmur [86]

Answer:

= 298/11

Step-by-step explanation:

3x + 5y = 2 | ×2 |

2x - 4y = 20 | ×3 |

6x + 10y = 4

6x - 12y = 60

____________--

22y = -56

y = -56/22

y = -28/11

3x + 5y = 2 | ×4 |

2x - 4y = 20 | ×5 |

12x + 20y = 8

10x - 20y = 100

_____________+

22x = 108

x = 108/22

x = 54/11

5x - y

= 5(54/11) - (-28/11)

= 270/11 + 28/11

= 298/11

8 0

3 years ago

An object is thrown straight up from the top of a 100-foot platform at a velocity of 48 feet per second. The height h(t) of the

julsineya [31]

Answer:

The maximum height is 136 ft

The time it takes to achieve this height is 1.5 s.

Explanation:

1. Function for the height (given):

$h(t)=-16t^2+48t+100$

2. Type of function

That is a quadatic function, whose graph is a parabola that opens downward.

The maximum of the function, i.e. the maximum height, is the vertex of the parabola.

The vertex of a parabola with the genral equation $y=ax^2+bx+c$ is at the x-coordinate

$x=-b/(2a)$

3. Time to achieve the maximum height

Substitute b with 48 and a with - 16:

$t=-48/(2(-16))=48/32=3/2=1.5$

Then, time when the object achieves the maximum height it 1.5s

4. Maximum height:

Replace t with 1.5 in the equation, to find the maximum height, h(1.5)

$h(1.5)=-16(1.5)^2+48(1.5)+100=136$

Then, the maximum height is 136 ft

3 0

3 years ago

What is the solution to this equation? In(2x + 4) = ln(x + 3)

bija089 [108]

X= -1 !! hope this helps

5 0

3 years ago

Which statement are correct about the two-way frequency?

agasfer [191]

A. False. The data is quantitative because we're dealing with numeric values instead of things like names, colors, etc.

B. False. The row categories are "students" and "teachers"

C. True. This value (2) is in the "teachers" row and "does not wear glasses" column.

D. False. The value 32 represents the number of students who wear glasses. See row1, column1

E. True. Look at the last value of the "teachers" row.

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

In summary, the answers are: C and E

5 0

3 years ago

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How many cubic feet of soil are needed to fill a raised vegetable bed that measure 12 feet by 10 feet by 9 inches?

otez555 [7]

18 feet 1 feet is equivalent to 12 inches

3 0

3 years ago