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3 years ago

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

Mathematics

1 answer:

ArbitrLikvidat [17]3 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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In one paragraph explain step by step how to subtract 7 from 102

Anna11 [10]

To subtract 7 from 102, you have to regroup. You subtract 2 from 100, and 2 from 7, so it is 100-5. 100-5 is 95. The answer is 95. If you don't understand, tell me in the comments. This is just one method of subtracting.

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3 years ago

Read 2 more answers

The length of a rectangle is nine inches more than its width. Its area is 486 square inches. Find the width and length of the re

Elan Coil [88]

Answer:

width: 18 in
length: 27 in

Step-by-step explanation:

The relations between length (L) and width (W) are ...

W +9 = L

LW = 486

Substituting gives ...

(W+9)W = 486

W^2 +9W -486 = 0 . . . put in standard form

(W +27)(W -18) = 0 . . . . factor

W = 18 . . . . the positive solution

The width of the rectangle is 18 inches; the length is 27 inches.

_____

<em>Comment on factoring</em>

There are a number of ways to solve quadratics. Apart from using a graphing calculator, one of the easiest is factoring. Here, we're looking for factors of -486 that have a sum of 9.

486 = 2 × 3^5, so we might guess that the factors of interest are -2·3² = -18 and 3·3² = 27. These turn out to be correct: -18 +27 = 9; (-18)(27) = -486.

3 0

3 years ago

-4(x+5)=-4x-30 solution

luda_lava [24]

Answer:

no solution

Step-by-step explanation:

-4(x+5)=-4x-30

-4x-20=-4x+30

no solution

x cancel

7 0

2 years ago

Select TWO values of x that are roots

Sauron [17]

$x_1=\dfrac{-b-\sqrt{b^2-4ac}}{2a};\ x_2=\dfrac{-b+\sqrt{b^2-4ac}}{2a}\\\\y=x^2+3x+5\\\\a=1;\ b=3;\ c=5\\\\b^2-4ac=3^2-4(1)(5)=9-20=-11\\\\x_1=\dfrac{-3-\sqrt{-11}}{2\cdot1}=\dfrac{-3-\sqrt{-11}}{2}\\\\x_2=\dfrac{-3+\sqrt{-11}}{2}$

Answer: A and B.

3 0

3 years ago

Read 2 more answers

Will mark Brainliest! You MUST explain step-by-step how you solved the problem.

sergiy2304 [10]

Answer:

choice C) 30 ft

Step-by-step explanation:

tan 41° = height/34

0.8693 = height/34

height = 29.56 or rounded to 30 ft

3 0

2 years ago

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

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