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Nookie1986 [14]
3 years ago
14

X(x-3)=28 use factoring to solve the polynomial equation

Mathematics
1 answer:
lora16 [44]3 years ago
4 0

Answer:

x = - 4, x = 7

Step-by-step explanation:

Given

x(x - 3) = 28 ← distribute left side

x² - 3x = 28 ← subtract 28 from both sides

x² - 3x - 28 = 0 ← in standard form

To factor the quadratic

Consider the factors of the constant term (- 28) which sum to give the coefficient of the x- term (- 3)

The factors are - 7 and + 4, since

- 7 × 4 = - 28 and - 7 + 4 = - 3, hence

(x - 7)(x + 4) = 0

Equate each factor to zero and solve for x

x - 7 = 0 ⇒ x = 7

x + 4 = 0 ⇒ x = - 4

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dimaraw [331]

Answer:

2,000

Step-by-step explanation:

The computation of the price that should be sold for making 25% profit is shown below:

Let cost price be x

Now the equation would be

(1,920 - x) ÷ x × 100 = (x - 1,280) ÷ x × 100

1,920 - x = x - 1,280

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Now the sale price would be

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6 0
3 years ago
Find 4 consecutive even integers such that when three times the smallest of the intagers is added to twice the largest their sum
zhannawk [14.2K]
If x is the first of the integers then the statement is:

(x) , (x+2) , (x+4) , (x+6)

This means that the smallest is x and the largest is x + 6

so:
3(x) + 2(x+6) = 293
3x + 2x + 12 = 293
5x = 281
x = 56.2
This gives us a none integer (decimal)
What now?

Wait remember how x started as the lowest? what if x was the highest instead?

x, x-2, x-4, x-6
so:

3(x-6) + 2(x) = 293
5x = 315
x = 62.2

This is as close as have gotten to the answer
Cant seem to get an integer.
Maybe error in the question or some bad math on my part.


3 0
3 years ago
Rabekah is filling a cube-shaped box with small cubes. the volume of each of these cubes is 1 cubic centimeter. She has already
Vinvika [58]
Well it shows that the main cube is 9 blocks tall. It is a perfect cube, not a rectangular prism or anything, so every side is the same. So 9 cubed. Or, in other words, 9*9*9
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4 years ago
2x + y -z=9<br> -x + 6y + 2z =- 17<br> 5x + 7y +z = 4
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Answer:

Step-by-step explanation:

What is y?

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3 years ago
Equation of a line with slip of 5 passing through points (-4,-6)
kirill [66]

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3 years ago
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