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algol [13]
3 years ago
5

Write the difference in factored form. (24x4 - 15x2 + 6x) - (10x4 + 5x2 - 4x)​

Mathematics
1 answer:
Pachacha [2.7K]3 years ago
8 0

Answer:

The factored difference is: 2x(7x^3 - 10x + 5)

Step-by-step explanation:

Difference in non factored form:

To find the difference in non-factored form, we subtract the common terms. So

24x^4 - 15x^2 + 6x - (10x^4 + 5x^2 - 4x) = 24x^4 - 10x^4 - 15x^2 - 5x^2 + 6x + 4x = 14x^4 - 20x^2 + 10x

Greatest common factor:

Of the exponents: Between x^4, x^2 and x, it is the one with the lowest exponent, so x.

Between 14, 20 and 10:

14 - 20 - 10|2

7 - 10 - 5

So 2

The gcf is 2x, which means that the factored expression is:

2x(\frac{14x^4}{2x} - \frac{20x^2}{2x} + \frac{10x}{2x}) = 2x(7x^3 - 10x + 5)

The factored difference is: 2x(7x^3 - 10x + 5)

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An item costs $300 before tax, and the sales tax is $9.90 . Find the sales tax rate. Write your answer as a percentage.
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Answer:

3.33%

Step-by-step explanation:

9.90/300=0.033

8 0
2 years ago
laura has a toy robot collection 4/7 of her robots makes noise how many of lauras robots make noise? and can u show ur work pls
ololo11 [35]

Answer:

57 percent

Step-by-step explanation:

4 divided by 7= .57

  •                57 reminder 1
  •             ________
  •          7l 40
  •               35
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4 0
3 years ago
Pease help, thank you
andreyandreev [35.5K]

Answer: -2

=====================================================

Draw a vertical line through 4 on the x axis. This vertical line crosses the parabola at some point (which we'll call point A). Draw a horizontal line from point A to the y axis and note how it lands on y = 12. Therefore the point (4,12) is on this parabola.

Repeat the same steps as before to find that (8,4) is also on the parabola

We need to find the slope of the line through (4,12) and (8,4)

m = (y2 - y1)/(x2 - x1)

m = (4-12)/(8 - 4)

m = -8/4

m = -2

The slope of this line is -2 meaning that the average rate of change from x = 4 to x = 8 is -2.

The line goes down 2 units each time you move to the right 1 unit.

6 0
3 years ago
Phoebe bought 28 ounces of gourmet cheese for a fondue. If the cheese sells for ​$6.00 per​ pound, how much will Phoebe pay for
MariettaO [177]
$10.50
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3 0
3 years ago
Read 2 more answers
A supervisor records the repair cost for 14 randomly selected refrigerators. A sample mean of $79.20 and standard deviation of $
Nitella [24]

Answer:

( $74.623, $83.777)

The 90% confidence interval is = ( $74.623, $83.777)

Critical value at 90% confidence = 1.645

Step-by-step explanation:

Confidence interval can be defined as a range of values so defined that there is a specified probability that the value of a parameter lies within it.

The confidence interval of a statistical data can be written as.

x+/-zr/√n

Given that;

Mean x = $79.20

Standard deviation r = $10.41

Number of samples n = 14

Confidence interval = 90%

Using the z table;

The critical value that should be used in constructing the confidence interval.

z(α=0.05) = 1.645

Critical value at 90% confidence z = 1.645

Substituting the values we have;

$79.20+/-1.645($10.42/√14)

$79.20+/-1.645($2.782189528308)

$79.20+/-$4.576701774067

$79.20+/-$4.577

( $74.623, $83.777)

The 90% confidence interval is = ( $74.623, $83.777)

5 0
3 years ago
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