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3 years ago

Two is a zero of the equation x3−x2−14x+24=0. Which factored form is equivalent to the equation?

Mathematics

1 answer:

ValentinkaMS [17]3 years ago

3 0

Answer:

The answer to your question is: letter A

Step-by-step explanation:

x³ - x² - 14x + 24 = 0

If two is a zero of the polynomial, then x = 2, divide the polynomial by 2.

Synthetic division

1 - 1 - 14 + 24 2

2 2 -24

1 1 -12 0

Result x² + x - 12 = 0

Factor the polynomial, find two numbers that multiply gives -12 and added gives + 1.

These numbers are + 4 and - 3

+4 - 3 = +1

(+4)(-3) = -12

(x + 4) (x - 3) = 0

Finally

(x +4)(x - 3)(x -2) = 0

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Mrs. Chan buys a new car for $21,000. She pays a sales tax of $0.06 for every $1. She pays a property tax of $16.80 on every $1,

lianna [129]

Answer:

$1612.80

Step-by-step explanation:

Sales Tax would be 0.06 * 21,000 = $1260

Property Tax:

16.80 for every 1000, so how many "1000"s are there in 21,000? Simple, 21 of them.

So the property tax would be 16.80 * 21 = $352.80

Hence, total taxes (for the year) = 1260 + 352.80 = $1612.80

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2 years ago

Ivan has $1098 worth of $12 and $14 stock shares. The number of $14 shares is seven more than

Dafna1 [17]

Answer:

Number of 12$ Shares? 25

Number of 14$ Shares? 57

Step-by-step explanation:

Let x = number of $12 shares.

Let y = number of $14 shares.

"Ivan has $1098 worth of $12 and $14 stock shares."
12x + 14y = 1098

The number of $14 shares is seven more than twice the number of $12 shares.

y = 2x + 7

We have a system of equations.

12x + 14y = 1098

y = 2x + 7

We can use the substitution method since the second equation is already solved for y. Substitute 2x + 7 for y in the first equation.

12x + 14(2x + 7) = 1098

12x + 28x + 98 = 1098

40x = 1000

x = 25

There are 25 $12 shares.

y = 2x + 7 = 2(25) + 7 = 57

There are 57 $14 shares.

Check:

25 × $12 + 57 × $1`4 = $300 + $798 = $1098

The total value is correct, so the answer is correct.

4 0

1 year ago

⦁ Write an equation of a line in slope intercept form (y = mx + b) with slope 1/3 going through the point (-6, 2). Show your wor

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3 0

1 year ago

Clair has250 pennies some pennies are in a box the rest are in her bankthere are more then 100 pennies in each place how many pe

9966 [12]

Answer:

In each place there must be more 100 pennies, but as the total 250 pennies, there are several ways that the money is distributed.

Because there may be 101 pennies in the box and 149 pennies in the bank, but it can also be the opposite; in the box 149 pennies and in the bank 101 pennies.

Therefore, there are many options to answer the question, as long as it is met that there are more than 100 pennies in one place.

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3 years ago

6. Describe, step-by-step how to find the slope of a line through two points.

Margarita [4]

Answer:

Step-by-step explanation:

The slope is the difference in y-coordinates of the 2 points divided by the corresponding difference in x-coordinates.

For example:

Find the slope of the line joining the points (3, 5) and (-2, 1)

The slope = (5 - 1) / (3 - (-2))

= 4/(3+2)

= 4/5.

NOTE:

You would get the same result if you reversed the values

- that is (1 - 5)/(-2 - 3

= -4/-5

= 4/5.

The important thing to remember is to use corresponding values in the calculation.

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3 years ago