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3 years ago

Which value of b would make 16x²-bx + 25 a perfect square trinomial?

Mathematics

1 answer:

blondinia [14]3 years ago

8 0

Answer:

b = 40 and -40

Step-by-step explanation:

General form of Perfect square trinomial is a 2 + 2 a b + b 2

Therefore from 16 x 2 − b x + 25 a 2 = √ 16 x 2 , b 2 = 25 , then a = ± 4 x , b = ± 5 take consideration a=4x and b=-5 (different sign), then − b x = 2 ( 4 x ) ( − 5 ) − b x = − 40 x b = 40

The perfect square is ( 4 x − 5 ) 2 = 16 x 2 − 40 x + 25 .

if we consider a=4x and b=5 (same sign), then − b x = 2 ( 4 x ) ( 5 ) − b x = 40 x b = − 40

The perfect square is ( 4 x + 5 ) 2 = 16 x 2 + 40 x + 25 .

The first solution ( 4 x − 5 ) 2 is the best solution after comparing the expression given. I hope this helps, xx .

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You are considering adding a new food product to your store for resale. You are certain that, in a month, the minimum demand for

kolbaska11 [484]

Answer:

Using EMV analysis, the number of units of the new product should be purchased for resale = Purchase 7.

The maximum EMV of profit you can make is 270.

Explanation:

We can use the following method to solve the given problem

Solution:

Using EMV analysis,

EMV (Purchase 6 for resale)= 6(40)(0.1) + 6(40)(0.4) + 6(40)(0.5)=240

EMV (Purchase 7 for resale) = [6(40)-60](0.1) +7(40)(0.4) + 7 (40)(0.5) = 270

EMV (Purchase 8 for resale) = [6(40)-2(60)] (0.1) + [7 (40) - 60] (0.4) + 8(40)(0.5)= 260

Largest EMV= 270; Choose to purchase 7 units for resale.

Step-by-step explanation:

Hopefully this helps :)

6 0

2 years ago

WILL MARK BRAINLIEST A bank manager wants to encourage new customers to open accounts with principals of at least $3,500. He de

Ket [755]

Answer:

"Open an account of $3,500 and earn at least $10 interest in 1 month!" is the right one

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

The change in the price for day 2 is of the change in the price for day 3. At the end of day 5,

Romashka-Z-Leto [24]

Answer:

+ 0.26

Step-by-step explanation:

6 0

2 years ago

Assume, for the sake of this question, that the data were collected through a well-designed, well-implemented random sampling me

amid [387]

Answer:

Since the pvalue of the test is 0.2743 > 0.1, the threshold probably was met.

Step-by-step explanation:

The widget manufacturing company had established a threshold of 60% preferring the proposed new widget to move forward with producing the new widgets.

This means that at the null hypothesis we test if the proportion is at least 60%, that is:

$H_{0}: p \geq 0.6$

And the alternate hypothesis is:

$H_{a}: p < 0.6$

The test statistic is:

$z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}$

In which X is the sample mean, $\mu$ is the value tested at the null hypothesis, $\sigma$ is the standard deviation and n is the size of the sample.

0.6 is tested at the null hypothesis:

This means that:

$\mu = 0.6$

$\sigma = \sqrt{0.6*0.4}$

Three hundred thirty-eight of 575 respondents reported preferring the proposed new widget.

This means that $n = 575, X = \frac{338}{575} = 0.5878$

Value of the test-statistic:

$z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}$

$z = \frac{0.5878 - 0.6}{\frac{\sqrt{0.6*0.4}}{\sqrt{575}}}$

$z = -0.6$

Pvalue of the test and decision:

We want to find the probability of a proportion of 0.5878 or lower, which is the pvalue of z = -0.6.

Looking at the z-table, z = -0.6 has a pvalue of 0.2743.

Since 0.2743 > 0.1, the threshold probably was met.

3 0

3 years ago

If the supplement of an angle is two-third of itself ,then its supplement is

stich3 [128]

( 'x' is not 144 .)

The supplement of an angle is (180 - x) .
The problem says that (2/3) of 'x' is equal to (180 - x) .

180 - x = 2/3 x

Multiply each side by 3 :
( Note: 3 x 180 = 540 .)

540 - 3x = 2x

Add 3x to each side:

540 = 5x

Divide each side by 5 :

<u>x = 108°</u> .

5 0

3 years ago