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Tasya [4]
4 years ago
13

Answer ASAP, Find the quadratic equations whose roots are ½ and -5/2​

Mathematics
1 answer:
ArbitrLikvidat [17]4 years ago
3 0

Answer:

4x^2+8x-5

Step-by-step explanation:

You work backwards to get (2x-1) which gets you the root 1/2 and (2x+5) which gets you the root -5/2 after this you foil what you have so (2x-1) times (2x+5). You do 2x times 2x which gives you 4x^2 2x times 5 which gives you 10x -1 times 2x which gives -2x and lastly -1 times 5 which gives you -5 now you combine like terms and get your final answer of 4x^2+8x-5

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How do I solve this? (please help to find what goes in the boxes as well)
natta225 [31]

Answer:

First Box: Factor by difference of squares

Second Box: It has all perfect squares

Third Box: see my work

Step-by-step explanation:

We have the equation 4x^2=36

Before we do anything, let us bring all of the terms to the left side

4x^2-36=0

Now that we have moved the terms to one side, it is clear that we have a difference of squares.

-Work-

4x^2=36\\\\4x^2-36=0\\\\(2x+6)(2x-6)=0\\\\

-

2x+6=0\\\\2x=-6\\\\x=-3

-

2x-6=0\\\\2x=6\\\\x=3

5 0
3 years ago
3 3/4 ÷ (1 2/3 + 2 1/2)​
ZanzabumX [31]

Answer:

9/10.

Step-by-step explanation:

3 3/4 ÷ (1 2/3 + 2 1/2)​

= 3 3/4 / ( 5/3 + 5/2)

= 3 3/4 / ( 10/6 + 15/6)

= 3 3/4 / 25/6

= 15/ 4 / 25/6

= 15/4 * 6/25

= 90/100

= 9/10.

4 0
2 years ago
Find the solution set for the following equation. <img src="https://tex.z-dn.net/?f=-%5Csqrt%28x%29%3D5" id="TexFormula1" title=
andrey2020 [161]

Answer:

Solution set = {25}

Step-by-step explanation:

=> -\sqrt{x} =5

Dividing both sides by -1

=> \sqrt{x} = -5

Taking square on both sides

=> x = 25

<em><u>Solution set = {25}</u></em>

3 0
3 years ago
What is the difference between a rate and a unit rate? Show an example
QveST [7]

Answer:

Rate: In mathematics, a rate is the ratio between two related quantities in different units. If the denominator of the ratio is expressed as a single unit of one of these quantities. "The most common type of rate is "per unit of time."

Unit Rate: A unit rate is a rate with 1 in the denominator. If you have a rate, such as price per some number of items, and the quantity in the denominator is not 1, you can calculate unit rate or price per unit by completing the division operation: numerator divided by denominator.

Step-by-step explanation:

8 0
4 years ago
Can you help me find the LCM of 6 and 15
PIT_PIT [208]
The LCM of 6 and 15 is 30:)
7 0
3 years ago
Read 2 more answers
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