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3 years ago

8

Drag the tiles to the boxes to form the correct pairs. not all tiles will be used.

2 answers:

Fittoniya [83]3 years ago

6 0

This is what I found:

$(3x + 5)(3x - 4) \: = 9 {x}^{2} + 3x - 20$

9966 [12]3 years ago

4 0

Answer:

$9x^{2}+3x-20=(3x+5)(3x-4)$

Step-by-step explanation:

We need to drag the tiles and place them in boxes to form the correct pairs.

The given options are:-

1) $9x^{2}+3x-20$

2) $(4x-3y)^{2}$

3) $(3x+5)(3x-4)$

4) $(3x+2)(9x^{2} -6x+4)$

First we simplify the all given factor and then compare with provided options

2) $(4x-3y)^{2}$

= $16x^{2}+9y^{2}-24xy$

3) $(3x+5)(3x-4)$

$9x^{2}-12x+15x-20$

$9x^{2}+3x-20$

Here we can see equation (3) match with (1)

so, $9x^{2}+3x-20=(3x+5)(3x-4)$

Hence, the correct match is shown in figure-1

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allochka39001 [22]

Answer:

Yes, she is correct.

Step-by-step explanation:

Given equation,

$-5\frac{1}{8}n = -9\frac{3}{4}$

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$\frac{(-40-1)n}{8}=\frac{-36-3}{4}$

$-\frac{41}{8}n =-\frac{39}{4}$

$-41\times 4n = -39\times 8$

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By estimation :

Since, 1/8 = 0.125 ≈ 0, while, 3/4 = 0.75 ≈ 1

⇒ $-5\frac{1}{8}\approx -5$

And, $-9\frac{3}{4}\approx -10$

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3 years ago

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1 year ago

A researcher wishes to estimate the proportion of adults who have high-speed Internet access. What size sample should be obtain

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Step-by-step explanation:

The formula for sample size needed for interval estimate of population proportion :-

$n=p(1-p)(\frac{z_{\alpha/2}}{E})^2$

Given : The significance level : $\alpha=1-0.95=0.05$

Critical value : $z_{\alpha/2}}=z_{0.025}=\pm1.96$

Previous estimate of proportion : $p=0.32$

Margin of error : $E=0.01$

Now, the required sample size will be :-

$n=0.32(1-0.32)(\frac{1.96}{0.01})^2=8359.3216\approx8359$

Hence, the required sample size = 8359

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3 years ago