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2 years ago

Select the correct answer. Which statement is true about the graphed cubic function?

Mathematics

2 answers:

sineoko [7]2 years ago

5 0

Step-by-step explanation:

The cubic function passes the x-axis only once,

so there is 1 distinct real zeroes and 2 complex zeroes.

devlian [24]2 years ago

3 0

<h3>The correct answer is (B)</h3><h3></h3><h3><em>The function has one distinct real zero and two complex zeros.</em></h3>

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Find the least common multiple (LCM) of 8y^6+ 144y^5+ 640y^4 and 2y^4 + 40y^3 + 200y^2.

Mice21 [21]

Answer:

<em>LCM</em> = $8y^{4}(y+ 10)^{2}(y + 8)$

Step-by-step explanation:

Making factors of $8y^{6}+ 144y^{5}+ 640y^{4}$

Taking $8y^{4}$ common:

$\Rightarrow 8y^{4} (y^{2}+ 18y+ 80)$

Using <em>factorization</em> method:

$\Rightarrow 8y^{4} (y^{2}+ 10y + 8y + 80)\\\Rightarrow 8y^{4} (y (y+ 10) + 8(y + 10))\\\Rightarrow 8y^{4} (y+ 10)(y + 8))\\\Rightarrow \underline{2y^{2}} \times 4y^{2} \underline{(y+ 10)}(y + 8)) ..... (1)$

Now, Making factors of $2y^{4} + 40y^{3} + 200y^{2}$

Taking $2y^{2}$ common:

$\Rightarrow 2y^{2} (y^{2}+ 20y+ 100)$

Using <em>factorization</em> method:

$\Rightarrow 2y^{2} (y^{2}+ 10y+ 10y+ 100)\\\Rightarrow 2y^{2} (y (y+ 10) + 10(y + 10))\\\Rightarrow \underline {2y^{2} (y+ 10)}(y + 10) ............ (2)$

The underlined parts show the Highest Common Factor(HCF).

i.e. <em>HCF</em> is $2y^{2} (y+ 10)$ .

We know the relation between <em>LCM, HCF</em> of the two numbers <em>'p' , 'q'</em> and the <em>numbers</em> themselves as:

$HCF \times LCM = p \times q$

Using equations <em>(1)</em> and <em>(2)</em>: $\Rightarrow 2y^{2} (y+ 10) \times LCM = 2y^{2} \times 4y^{2}(y+ 10)(y + 8) \times 2y^{2} (y+ 10)(y + 10)\\\Rightarrow LCM = 2y^{2} \times 4y^{2}(y+ 10)(y + 8) \times (y + 10)\\\Rightarrow LCM = 8y^{4}(y+ 10)^{2}(y + 8)$

Hence, <em>LCM</em> = $8y^{4}(y+ 10)^{2}(y + 8)$

5 0

3 years ago

the granola summer buys used to cost six dollars per pound but it has been marked up 15% a how much did it cost summer to buy 2.

EastWind [94]

17.94
Because 15% of $6 is .9 so
2.6x6.9=17.94

5 0

3 years ago

6(1) = 16<br> 6(n) = b(n − 1) + 1<br> Find the 2-term in the sequence.

Tresset [83]

Answer:

Step-by-step explanation:

Given

$b(1)=16\\ \\b(n)=b(n-1)+1$

Finding the second term of the sequence means to find $b(2).$ To find $b(2)$ substitute $n=2$ into the second expression:

$b(2)=b(2-1)+1\\ \\b(2)=b(1)+1\\ \\b(2)=16+1\\ \\b(2)=17$

6 0

3 years ago

The box plots below show attendance at a local movie theater and high school basketball games:

cricket20 [7]

The standard deviation is a better measure of spread for movies than it is for basketball games.

A box plot is a graphical rendition of statistical data based on the minimum, first quartile, median, third quartile, and maximum.

As, Movies is more centric to mean and not skewed on a particular side whereas basketball games is not centric to mean but is skewed right then left.

Now, Standard deviation just measures the deviation or spread with respect to mean of collected data.

So, In the movies the data is more collected. Thus standard deviation is best suited for movie data.

Now, interquartile range. IQR relies on if the data is skewed.

So, in the basketball data the standard deviation will not give the information.

Hence, the standard deviation is a better measure of spread for movies than it is for basketball games.

Learn more about this concept here:

brainly.com/question/17157714

#SPJ1

5 0

2 years ago

I need a step by step instruction please

Alika [10]

Answer: $x=52$

Step-by-step explanation:

$x-45+45=7+45\\x=52$

3 0

2 years ago