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marishachu [46]

3 years ago

15

The polynomial 3x ^ 3 - 16x ^ 2 + 31x - 20 the area of a trapezoidal desktop . Of the bases of the x ^ 3 - 5x the height of the

trapezoid? Hins: Use long division , what is trapezoid represented by the expressions trapezoid

1 answer:

vaieri [72.5K]3 years ago

6 0

Answer:

Step-by-step explanation:

Given:

Area = 3x^3 - 16x^2 + 31x - 20

Base:

x^3 - 5x

Area of trapezoid, S = 1/2 × (A + B) × h

Using long division,

(2 × (3x^3 - 16x^2 + 31x - 20))/x^3 - 5x

= (6x^3 - 32x^2 + 62x - 40))/x^3 - 5x = 6 - (32x^2 - 92x + 40)/x^3 - 5x = 2S/Bh - Ah/Bh

= 2S/Bh - A/B

= (2S/B × 1/h) - A/B

Since, x^3 - 5x = B

Comparing the above,

A = 32x^2 - 92x + 40

2S/B = 6

Therefore, h = 1

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A2+5a+6=0<br><img src="https://tex.z-dn.net/?f=%20%7Ba%7D%5E%7B2%7D%20%20%2B%205a%20%2B%206%20%3D%200" id="TexFormula1" title="

Katarina [22]

we are given

$a^2+5a+6=0$

we can use factoring formula

$a^2-(m+n)a+mn=(a-m)(a-n)$

we can compare

and we get

$m+n=-5$

$mn=6$

now, we can solve for m and n

and we get

$m=-3 , n=-2$

now, we can use formula

and we get

$a^2+5a+6=(a+3)(a+2)$

now, we can set it equal to 0

$a^2+5a+6=(a+3)(a+2)=0$

$(a+3)=0$

$a=-3$

$a+2=0$

$a=-2$

so, we will get

$a=-2,a=-3$ .............Answer

3 0

3 years ago

Read 2 more answers

Here is a graph of the relationship between the number of quarters and the number of dimes when there are a total of 17 coins.

kirill115 [55]

Point a has more what she said

8 0

3 years ago

In DEFG, what is DF?

Greeley [361]

First you need to find the X You know that since its a parallelogram opposite sides are congruent so you would do the following equation

(The work below goes vertical)
2x+3=3x-1
-3x-3I-3x-3
---------------
-x =-4
/-1 /-1
----------------
x= 4

So now that we know x=4 we plug it into the side
4+2=6

Then you multiply is by two since df goes across the whole shape and u get 12

Hope that helps

7 0

4 years ago

The specification for the pull strength of a wire that connects an integrated circuit to its frame is 10 g or more. In a sample

Wittaler [7]

Answer:

The 95% confidence interval for the difference is (-0.1888, 0.0202).

Step-by-step explanation:

Difference between proportions:

The distribution of the difference between two proportions has mean of the difference between these proportions and standard deviation is the square root of the sum of the variances. So

In a sample of 86 units made with gold wire, 68 met the specification

This means that:

$pX = \frac{68}{86} = 0.7907$

$sX = \sqrt{\frac{0.7907*0.2093}{86}} = 0.0439$

In a sample of 120 units made with aluminum wire, 105 met the specification.

This means that:

$pY = \frac{105}{120} = 0.875$

$sY = \sqrt{\frac{0.875*0.125}{120}} = 0.0302$

Difference:

$p = pX - pY = 0.7907 - 0.875 = -0.0843$

$s = \sqrt{sX^2 + sY^2} = \sqrt{0.0439^2+0.0302^2} = 0.0533$

Confidence interval:

$p \pm zs$

In which z is the zscore that has a pvalue of $1 - \frac{\alpha}{2}$ , with $\alpha$ being 1 subtracted by the confidence level.

95% confidence level

So $\alpha = 0.05$ , z is the value of Z that has a pvalue of $1 - \frac{0.05}{2} = 0.975$ , so $Z = 1.96$ .

Lower bound of the interval:

$p - zs = -0.0843 - 1.96*0.0533 = -0.1888$

Upper bound of the interval:

$p + zs = -0.0843 + 1.96*0.0533 = 0.0202$

The 95% confidence interval for the difference is (-0.1888, 0.0202).

6 0

3 years ago

Mac has taken seven maths exams this year. His average mark is 78%. What mark must he get on the eighth exam to raise his averag

mash [69]

Answer:

94

Step-by-step explanation:

7*78 + x = 8*80

x = 94

Or, think that he was short 2 points on each of 7 tests, so he has to make them all (14) up on the last test.

4 0

2 years ago