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1 year ago

Salomon tracks the weight of his new puppy every 2 weeks. She weighs 10 lbs the

Mathematics

1 answer:

Gekata [30.6K]1 year ago

8 0

Equation (B) "y = 3x + 10" represents the growth of the puppy.

<h3>What are equations?</h3>

An equation is a mathematical formula where the "equal to" sign appears between two expressions having the same value.
Like 3x plus 5 equals 15, for example.
Different types of equations exist, such as linear, quadratic, cubic, and others.
The three primary forms of linear equations are the slope-intercept form, standard form, and point-slope form.

So, the equation that represents the situation:

The weight increase is: (10, 13, 16, 19, 22, 25)
We can observe that every time, there is a rise of 3lbs of weight.
Now, let 10 be a constant as the weight is starting from 10 lbs.
And 'x' be the number of time Salomon tracks the weight.

Then:

y = 3x + 10

For example, Salomon checks the weight for the 6th time then:

y = 3x + 10
y = 3(5) + 10
y = 15 + 10
y = 25

So, the equation is correct.

Therefore, equation (B) "y = 3x + 10" represents the growth of the puppy.

Know more about equations here:

brainly.com/question/28937794

#SPJ13

The correct question is given below:
Salomon tracks the weight of his new puppy every 2 weeks. She weighs 10 lbs the day he brings her home. His list for her first 6 "weighs" is as follows: (10, 13, 16, 19, 22, 25}

Which equation represents the growth of the puppy? Select one:

A. y = x + 3

B. y = 3x + 10

C. y = 10x + 3

D. y = x + 10

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$5(u - 1)( {u}^{5} + {u}^{4} + {u}^{3} + {u}^{2} + u + 1)$

remember:

$\sqrt{u} = {u}^{ \frac{1}{2} }$

And

${u}^{n} \times {u}^{m} = {u}^{n + m}$

SOLVE:

start by multiplying the factors:

$5( ({u}^{6} + {u}^{5} + {u}^{4} + {u}^{3} + {u}^{2} + u ) - ( {u}^{5} + {u}^{4} + {u}^{3} + {u}^{2} + u + 1))$

simplify by combing like terms. Most terms subtract off, leaving:

$5( {u}^{6} - 1)$

This can be factored, but it is not a perfect square, which is really what we need to take the square root.

$5( {u}^{3} - 1)( {u}^{3} + 1)$

I'm not exactly sure what form they want the answer in...

so taking the square root:

$\sqrt{5( {u}^{6} - 1) } = {(5( {u}^{6} - 1))}^{ \frac{1}{2} }$

so my best answer is:

${5}^{ \frac{1}{2} } \times {( {u}^{6} - 1)}^{ \frac{1}{2} }$
or the more factored form:

${5}^{ \frac{1}{2} } { ({u}^{3} - 1)}^{ \frac{1}{2} } { ({u}^{3} + 1 )}^{ \frac{1}{2} }$

I'm not sure how else to solve it. Taking the square root doesn't work out super well, so I left it in the most simple form I could.

sorry for not coming to a definitive answer!

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