All categories

3 years ago

PLZ HELP QUICKLY!!!!!!!

Mathematics

2 answers:

Serjik [45]3 years ago

8 0

To complete the square (x+2/5)^2 it would be x^2+(4/5)x+4/25

vlabodo [156]3 years ago

4 0

Answer:

$x^2+\frac{4}{5}x+\frac{4}{25}$

$\left(x+\frac{2}{5} \right)^2$

Step-by-step explanation:

Taking the middle coefficient:

$ax^2+bx+c$

$c=\left(\frac{b}{2} \right)^2$

$c=\left(\frac{\frac{4}{5} }{2} \right)^2$

$c=\left(\frac{4 }{10} \right)^2$

$c=\left(\frac{2 }{5} \right)^2$

$c=\frac{4}{25}$

Completing the square:

$x^2+\frac{4}{5}x+\frac{4}{25}$

$\left(x+\frac{2}{5} \right)^2$

You might be interested in

Select all the expressions that are rational numbers.

fredd [130]

..........The answer is D

3 0

3 years ago

Breyers is a major producer of ice cream and would like to test if the average American consumes more than 17 ounces of ice crea

asambeis [7]

Answer:

The conclusion for this hypothesis test would be that the average American consumes less than or equal to 17 ounces of ice cream per month.

Step-by-step explanation:

We are given that Breyers is a major producer of ice cream and would like to test if the average American consumes more than 17 ounces of ice cream per month.

A random sample of 25 Americans was found to consume an average of 19 ounces of ice cream last month. The standard deviation for this sample was 5 ounces.

Let $\mu$ = average ounces of ice cream consumed by American per month

So, Null Hypothesis, $H_0$ : $\mu \leq$ 17 ounces {means that the average American consumes less than or equal to 17 ounces of ice cream per month}

Alternate Hypothesis, $H_A$ : $\mu$ > 17 ounces {means that the average American consumes more than 17 ounces of ice cream per month}

The test statistics that will be used here is One-sample t test statistics as we don't know about population standard deviation;

T.S. = $\frac{\bar X-\mu}{\frac{s}{\sqrt{n} } }$ ~ $t_n_-_1$

where, $\bar X$ = sample average = 19 ounces

s = sample standard deviation = 5 ounces

n = sample of Americans = 25

So, test statistics = $\frac{19-17}{\frac{5}{\sqrt{25} } }$ ~ $t_2_4$

= 2

The value of the test statistics is 2.

Now at 0.025 significance level, the t table gives critical value of 2.06 at 24 degree of freedom for right-tailed test. Since our test statistics is less than the critical values of t, so we have insufficient evidence to reject our null hypothesis as it will not fall in the rejection region due to which we fail to reject our null hypothesis.

Therefore, we conclude that the the average American consumes less than or equal to 17 ounces of ice cream per month.

8 0

3 years ago

The product of two positive integers plus their sum is 95. The integers are relatively prime, and each is less than 20. What is

creativ13 [48]

Let the fist integer be x, the second is x+20
the product of the numbers is:
x(x+20)
the sum of the numbers is:
x+x+20=2x+20
the sum of the above operations will give us:
2x+20+x^2+20x=95
x^2+22x+20=95
this can be written as quadratic to be:
x^2+22x-75=0
solving the above we get:
x=3 and x=-25
but since the integers should be positive, then x=3
the second number is x+20=3+20=23
hence the numbers are:
3 and 23

3 0

3 years ago

Does arkansas lie south of 40 degrees latitude

Zepler [3.9K]

All of Arkansas is between 33 degrees and 36.5 degrees lol

4 0

3 years ago

One root of f(x)=x^3-4x^2-20x+48 is x = 6. What are all the factors of the function? Use the Remainder Theorem.

luda_lava [24]

Answer:

(x - 6)(x + 4)(x - 2)

Step-by-step explanation:

since x = 6 is a root then (x - 6) is a factor

x³ - 4x² - 20x + 48 ÷ (x - 6)

= (x - 6)(x² + 2x - 8)

= (x - 6)(x + 4)(x - 2) ← factors of f(x)

7 0

3 years ago