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3 years ago

7

Evaluate 12x−3y12x−3y when x=−14x=−14 and y=3 Help.

2 answers:

Citrus2011 [14]3 years ago

5 0

12x-3y12x-3y (x=-14x=-14 or x=1) and( y=3)
12(1)-3(3)12(1)-3(3)
12-9*12-9
12-108-9
96-9
87

Nonamiya [84]3 years ago

4 0

12*-14-3*3*12*-14- 3*3
168+1512-9
1671

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If tan 0 = 12/5 and cos 0 = - 5/13 then what is sin 0

slamgirl [31]

Refer to the diagram shown below.

Because tan θ = 12/5 and cos θ = -5/13, therefore θ is in quadrant 3.
The sine function is negative in quadrant 3, therefore
sin θ = - 12/13

Answer: - 12/13

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4 years ago

Consider the line segment below that is five feet long. Is Q the midpoint of PR? Justify your answer.

givi [52]

Answer:

Q is not the midpoint of PR

Step-by-step explanation:

see the attached figure to better understand the problem

we know that

If Q is the midpoint of PR

then

PQ=QR

substitute the given values and solve for x

$15x-2=5x+3\\15x-5x=3+2\\10x=5\\x=0.5$

Remember that

$PR=5\ ft$ ----> given problem

$PR=PQ+QR\\PR=(15x-2)+(5x+3)$

substitute the value of x

$PR=(15(0.5)-2)+(5(0.5)+3)$

$PR=(5.5)+(5.5)$

$PR=11\ ft$

Compare with the given value of PR

$5\ ft\neq 11\ ft$

therefore

Q is not the midpoint of PR

4 0

3 years ago

What is the graph of the function rule y=3x+2

Nadusha1986 [10]

Answer:

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3 years ago

Is the number of calories proportional to the number of miles?

sveta [45]

Answer:

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Step-by-step explanation:

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3 years ago

The function g(x)= 112 Ln (0.121x) + 2011 models the year in which the population of New York City will equal x million people.

stellarik [79]

We are given function: $g(x)= 112\ ln (0.121x) + 2011$ .

Given function models a particular year of population of New York City.

x represents population of New York City ( In millions).

We need to estimate the population of New York City in 2020.

Because g(x) function represents a particular year of population of New York City and we are given year 2020, so we need to replace g(x) by 2020 and solve for x.

Replacing g(x) by 2020, we get

$2020= 112\ ln (0.121x) + 2011$ : <em>This is the required equation to estimate the population of New York City in 2020</em>

Let us solve the above equation for x now.

$2020=112\ln \left(0.121x\right)+2011$

$\mathrm{Switch\:sides}$

$112\ln \left(0.121x\right)+2011=2020$

$\mathrm{Subtract\:}2011\mathrm{\:from\:both\:sides}$

$112\ln \left(0.121x\right)+2011-2011=2020-2011$

$Simplify$

$112\ln \left(0.121x\right)=9$

$\mathrm{Divide\:both\:sides\:by\:}112$

$\frac{112\ln \left(0.121x\right)}{112}=\frac{9}{112}$

$\mathrm{Simplify}$

$\ln \left(0.121x\right)=\frac{9}{112}$

$\mathrm{Apply\:log\:rule}:\quad \:a=\log _b\left(b^a\right)$

$\frac{9}{112}=\ln \left(e^{\frac{9}{112}}\right)$

$\ln \left(0.121x\right)=\ln \left(e^{\frac{9}{112}}\right)$

$0.121x=e^{\frac{9}{112}}$

$\mathrm{Divide\:both\:sides\:by\:}0.121$

$\frac{0.121x}{0.121}=\frac{e^{\frac{9}{112}} }{0.121}$

$x=8.95598$ ≈ 9 million people.

So, we can say..

Population of New York City in 2020 would be 8.95598 millions or 9 million ( approximately).

4 0

3 years ago