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disa [49]
3 years ago
15

Write the expanded form of the expression. -1/2 (y - x) = ?

Mathematics
1 answer:
morpeh [17]3 years ago
3 0

Answer:

The expanded form of the expression -\frac{1}{2}(y-x) is \mathbf{-\frac{1}{2}(y)+\frac{1}{2}(x)}

Step-by-step explanation:

We need to write expanded form of the expression -\frac{1}{2}(y-x)

For expansion we will use distributive property of multiplication over addition

a(b+c)=ab+ac

Applying above rule:

-\frac{1}{2}(y-x)\\=-\frac{1}{2}(y)-(-\frac{1}{2}(x))\\=-\frac{1}{2}(y)+\frac{1}{2}(x)

So, the expanded form of the expression -\frac{1}{2}(y-x) is \mathbf{-\frac{1}{2}(y)+\frac{1}{2}(x)}

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The function f(x)=-(x+5)(x+1) is shown. What is the range of the function?​
Vesna [10]

Answer:

(- ∞, 4 ]

Step-by-step explanation:

To determine the range we require the coordinates of the vertex

The vertex lies on the axis of symmetry which is positioned at the midpoint of the zeros.

To obtain the zeros, equate f(x) to zero, that is

-(x + 5)(x + 1) = 0

Equate each factor to zero and solve for x

x + 5 = 0 ⇒ x = - 5

x + 1 = 0 ⇒ x = - 1

x_{vertex} = \frac{-5-1}{2} = \frac{-6}{2} = - 3

Substitute x = - 3 into f(x) for corresponding value of y

f(- 3) = - (- 3 + 5)(- 3 + 1) = - (2)(- 2) = 4

Vertex = (- 3, 4)

Since a = - 1 then vertex is a maximum, hence

range is (- ∞, 4 ]

4 0
3 years ago
Where are the X intercept and Y intercept of the graph of y=1/3x-6
goldfiish [28.3K]

Answer:

x-int= (18,0), y-int= (0,-6)

8 0
3 years ago
Solve for all possible values of x.
KATRIN_1 [288]

Answer:

Option d)  x = 25

Step-by-step explanation:

we have

\sqrt{x-9}+4=8

Solve for x

Subtract 4 both sides

\sqrt{x-9}+4-4=8-4

\sqrt{x-9}=4

squared both sides

(x-9)=(+/-)4^2

(x-9)=(+/-)16

Adds 9 both sides

x=9(+/-)16

x1=9(+)16=25

x2=9(-)16=-7

<u><em>Verify </em></u>

1) For x=25

\sqrt{25-9}=4

\sqrt{16}=4

4=4 ----> is true

therefore

x=25 is a solution

2) For x=-7

\sqrt{-7-9}=4

\sqrt{-16}=4

The radicand cannot be a negative number

therefore

x=-7 is not a solution

4 0
3 years ago
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Gigi is giving 3 flowers to each of her 7 friends. Which equation represents how many flowers, f, she will have to buy?
mart [117]

Answer:

3 x 7 = f

Step-by-step explanation:

I HOPE THIS HELPS YOU OUT WITH YOUR QUESTION! PLZ LET ME KNOW IF IT DID! IT MAKES ME FEEL GOOD THAT SOMEONE APPRECIATES IT! ANYWAY, IF YOU HAVE A FEW MINUTES PLZ GOT TO MY PROFILE AND THANK MY ANSWERS (THE MORE THE MERRIER)

4 0
3 years ago
Some critters got into the oatmeal. They ate 3 packages of Mike's, 2 of Chads, and 6 of Matt's. Toni lost half as much as the ot
Reptile [31]

I think the critters ate 5 1/2 packages of Toni’s oatmeal.

If he ate half as much as the others you should total up the others and divide it by 2.

3 + 2 + 6 = 11 11 divided by 2 = 5 1/2

I hope you find this helpful.

3 0
3 years ago
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