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4 years ago

Solve the following quadratic for the values x

Mathematics

2 answers:

mamaluj [8]4 years ago

8 0

Answer:

x² + 6x - 27 = 0

x² + 9x - 3x - 27 = 0

x ( x + 9 ) - 3 ( x + 9 ) = 0

( x + 9 ) ( x - 3 ) = 0

Thus ,

x = -9 or x = 3

I hope it helps you

#Indian : )

mestny [16]4 years ago

4 0

${x}^{2} + 6x - 27 = 0 \\ D= {6}^{2} - 4 \times ( - 27) = 36 + 108 = 144 = {12}^{2} \\ x_1= \dfrac{ - 6 + 12}{2} = 3 \\ x_2= \dfrac{ - 6 - 12}{2} = - 9$

Answer: x=3; x=-9

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Justin is 2 years older than one third Marcella’s age. Aimee is four years younger than 2times Justin’s age. Define a variable a

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Let's assume

Marcella’s age is x

now, we are given

Justin is 2 years older than one third Marcella’s age

so, Justin's age will be

$=2+\frac{1}{3} x$

Let's assume Justin's age is J

so, we get

$J=2+\frac{1}{3} x$

Aimee is four years younger than 2times Justin’s age

so,

Aimee's age will be

$=2J-4$

now, we can plug J

$A=2*(2+\frac{1}{3} x)-4$

now, we are given

Marcella is 63 years old

so, x=63

we can plug x=63 and find A

$A=2*(2+\frac{1}{3} *63)-4$

$A=42$

so,

Aimee's age is 42 years

$J=2+\frac{1}{3} x$

now, we can plug x=63

$J=2+\frac{1}{3} *63$

$J=23$

so, Justin's age is 23 years

6 0

3 years ago

Kara is 18 years younger than Joseph. Twelve years ago, Joseph was 4 times as old as Kara. Find their present ages.

prohojiy [21]

To solve this, first you need to jump back the clock. so 18 minus 12 is 6. scince at that time joseph was 4 times older, 6 times 4 is 24. add that to 12 and you get 36. but we need to check our work. if 36 minus 18 isint 18 then we screwed up. but, we didnt. so now, Kara is 18 years old and Joseph is 36 years old.

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4 years ago

Read 2 more answers

Simplify 3/4-4x+1/2x-1/2+1/2x

melomori [17]

The simplified answer is 0.25-3x

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4 years ago

Please help!! ill give brainliest!!! this is worth 30 points!!!!!!!!

Svetlanka [38]

Answer: a. 45 = k

b. d/t = 45

c. d = 45t

<u>Step-by-step explanation:</u>

The constant of proportionality (k) equals y divided by x if it is a direct variation. In the given problem, y is represented by distance (d) and x is represented by time (t).

$a)\quad \dfrac{d}{t}=k\\\\\\.\qquad \dfrac{90}{2}=k\\\\\\.\qquad 45=k\\\\\\b)\quad \dfrac{d}{t}=k\\\\\\.\ \quad \dfrac{d}{t}=45\\\\\\c)\quad \text{multiply both sides by t:}\\.\qquad d=45t$

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3 years ago

If the car wheel rotates 5 times per second about how many miles does the car travel in one hour??

iVinArrow [24]

Answer:

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If we want to find how many miles it travels in one hour, we need to find jow many seconds are in one hour because as the problem said, it's wheel rotates 5 times per second.

there are 3600 seconds in an hour, so we multiply 3600 by 5, and we get 18000.

The car travels 18000 miles in one hour.

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3 years ago