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Debora [2.8K]
3 years ago
11

Choose one of the factors of 1331x3 − 8y3.

Mathematics
2 answers:
daser333 [38]3 years ago
7 0
B is the answer hope this helps :)
Nadusha1986 [10]3 years ago
4 0
1331x³ - 8y³

I checked if each term has a cube root.

∛1331 = 11
∛x³ = x
∛8 = 2
∛y³ = y

<u>b. 11x - 2y </u>is one of the factors of 1331x³ - 8y³
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lisabon 2012 [21]

C is the correct answer.

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2 years ago
A study was conducted to compare the effect of three diet types on the milk yield of cows (in lbs). The sample size, sample mean
Vlad [161]

Answer:

(a) Anova table is attached below.

(b) The population means of milk yield are different among the three diet types

Step-by-step explanation:

In this case we need to perform a One-way ANOVA to determine whether the effect of three diet types on the milk yield of cows are significantly different or not.

The hypothesis can be defined as follows:

<em>H</em>₀: The effect of three diet types on the milk yield of cows are same.

<em>Hₐ</em>: The effect of three diet types on the milk yield of cows are significantly different.

(a)

The formulas are as follows:

\text{Grand Mean}=\bar x=\frac{1}{3}\sum \bar x_{i}\\\\SSB=\sum n_{i}(\bar x_{i}-\bar x)^{2}\\\\SSW=\sum (n_{i}-1)S^{2}_{i}\\\\N=\sum n_{i}\\\\DF_{B}=k-1\\\\DF_{W}=N-k\\\\DF_{T}=N-1\\

The F critical value is computed using the Excel formula:

F critical value=F.INV.RT(0.05,2,24)

The ANOVA table is attached below.

(b)

The rejection region is defined as follows:

F > F (2, 24) = 3.403

The computed F statistic value is:

F = 34.069

F = 34.269 > F (2, 24) = 3.403

The null hypothesis will be rejected.

Thus, concluding that the population means of milk yield are different among the three diet types

6 0
3 years ago
The equation of a circle is ​ (x−2)^2+(y−16)^2=169 ​ . What is the circle's radius?
Svetllana [295]
Hello!

The equation for a circle is

(x-h)^{2} +(y-k)^{2} =  r^{2}

r is the radius

To find the radius we take the square root of the number in the radius spot

sqrt169 = 13

The answer is 13

Hope this helps!
8 0
3 years ago
Consider the function f(x)=-3x^2 +7x -k. [3 Marks] a) For what values of k will the function have no zeros? b) For what values o
Anna35 [415]

Answer: a) k >4.08

b) k = 4.08

c) k<4.08

Step-by-step explanation:

Since we have given that

f(x)=-3x^2+7x-k

a) For what values of k will the function have no zeros?

It mean it has no real zeroes i.e. Discriminant < 0

As we know that

D=b^2-4ac

Here, a =-3

b = 7

c = -k

So, it becomes,

D

b) For what values of k will the function have one zero?

It means it has one real root i.e equal roots.

So, in this case, D = 0

So, it becomes,

D=b^2-4ac=0\\\\D=7^2-4\times -3\times -k=0\\\\49-12k=0\\\\49=12k\\\\k=\dfrac{49}{12}\\\\k=4.08

c) For what values of k will the function have two zeros?

It means it has two real roots.

In this case, D>0

So, it becomes,

D=7^2-4\times -3\times -k>0\\\\49-12k>0\\\\-12k>-49\\\\12k

Hence, a) k >4.08

b) k = 4.08

c) k<4.08

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3 years ago
What is the slope of the line that passes through the points
Sidana [21]

Answer:

-5/4

Step-by-step explanation:

8 0
3 years ago
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