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Natali [406]
3 years ago
13

What is equivalent to -1/4y -2 1/4y + 1/2 (4-2y) a) -3y + 2 b) -3 1/2y + 2 c) -4y + 4

Mathematics
1 answer:
Amanda [17]3 years ago
7 0

Answer:

B. -3 1/2y + 2

Step-by-step explanation:

Our expression is: \frac{-1}{4} y-2\frac{1}{4} y+\frac{1}{2} (4-2y).

Let's first distribute out that parentheses. Remember that distribution is simply taking the sum of the product of the outside term with each of the inside terms. Here, the outside term is 1/2 and the inside terms are 4 and -2y:

\frac{1}{2} (4-2y)=\frac{1}{2} *4+\frac{1}{2} *(-2y)=2-y

Now, we have:

\frac{-1}{4} y-2\frac{1}{4} y+2-y

We want to combine like terms, which means combining all the terms with y in them:

\frac{-1}{4} y-2\frac{1}{4} y-y+2=\frac{-1}{4} y-\frac{9}{4} y-\frac{4}{4} y+2=\frac{-1-9-4}{4} y+2=\frac{-14}{4} y+2=\frac{-7}{2} y+2

Remember that -7/2 can be written as the mixed number -3 1/2, so our final answer is:

-3 1/2y + 2

The answer is thus B.

<em>~ an aesthetics lover</em>

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This makes no sense, I don’t understand
julsineya [31]

Answer:

the range where we see the function is between x=0 and x=7

its B

A is impossible btw, no number is smaller or equal to 0 AND bigger or equal to 7

please brainliest

8 0
2 years ago
A spinner has 10 equal sections numbered 1 through 10. What is the probability of
Nezavi [6.7K]

Answer:

The correct answer is C. 1/10.

Step-by-step explanation:

Given that a spinner has 10 equal sections numbered 1 through 10, to determine what is the probability of landing on the 6, the following calculation must be performed:

6 = 1 side only

10 = 10 options

1/10 = X

Therefore, the probability of the spinner landing on the 6 is 1/10.

3 0
3 years ago
How do you evaluate 3yx+2x when x=4 and y=-2<br> A. -28<br> B. -16<br> C. 8<br> D. 56
Vikki [24]

Answer:

B: -16

Step-by-step explanation:

Plug the variables in accordingly. 3(-2)(4)+2(4)

-6(4)+8

-24+8

-16

8 0
3 years ago
Pedro is building a playground in the shape of a right triangle he wants to know the area of the playground to help him decide h
shusha [124]

Answer:

Amount of sand=Area of triangle(ABC)=1/2*AB*BC

Dimension of rectangle as  length=BC and breadth=AB

Step-by-step explanation:

Given:

Pedro building a playground in shape of right angled triangle.

To Find:

How much sand he need to buy

And if playground changed to rectangle what will be the dimensions.

Solution:

<em>Consider a ΔABC be the play ground vertex of playground,</em>

<em>And AB and BC be the sides making right angle.</em>

The sand required to fill ground will be the amount of are covered by the ABC triangle.

So,

Area Of triangle(ABC)=1/2* base* height

Here base will be BC and height =AB

Therefore Area of Triangle(ABC)=1/2*BC*AB

Depending on the lengths of base and height amount of sand will be decided.

Now,

<em>For Rectangle dimensions,</em>

<em>We know that if same sized triangles composes each other forms a rectangle</em>.

It requires two triangle to form one rectangle as follows

(Refer the attachment)

Same sized Triangle ACD is imposed on it  to from rectangle ABCD.

So dimension for rectangle will be same as the triangle

Dimension=length and breadth

i.e. length=base of triangle=BC

Breadth=Height of triangle=AB

i.e Breadth =AB.

5 0
3 years ago
Write ln(x^3y^2) in terms of u and v (picture provided)
Katena32 [7]

Remember the properties of logarithms. If you have ln81, you can pull out the power of two (9^2) and have 2ln9. Also, you could do ln9 + ln9 because 9*9=81 and ln9*9 = ln9 + ln9

With these properties, you can get 3lnx+2lny, which is 3u+2v according to the answer.

Hope I helped!

6 0
3 years ago
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