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zhenek [66]
3 years ago
10

If 2 less than the product of 3 and x is squared, the result is y. what is y in terms of x? a. y=(3x-2)^2 b. y=3x^2-2 c.y=3(x^2-

2) d. y=(3x)^2-2 
HELP ME ASAP
PLEASEEEEE
Mathematics
1 answer:
Anuta_ua [19.1K]3 years ago
4 0
Well let's break this down:
<span>2 less than the product of 3 and x is squared means:
</span>
<span>the product of 3 and x is squared-2

the product of 3 and x is squared means
(3x) squared
or
(3x)^2
Now combine that with your first deduction to get </span>
<span>(3x)^2-2 or D</span>
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Lim<br> x-&gt;infinity (1+1/n)
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Answer:

^{ \lim}_{n \to \infty} (1+\frac{1}{n})=1

Step-by-step explanation:

We want to evaluate the following limit.


^{ \lim}_{n \to \infty} (1+\frac{1}{n})


We need to recall that, limit of a sum is the sum of the limit.


So we need to find each individual limit and add them up.

^{ \lim}_{n \to \infty} (1+\frac{1}{n})=^{ \lim}_{n \to \infty} (1) +^{ \lim}_{n \to \infty} \frac{1}{n}


Recall that, as n\rightarrow \infty,\frac{1}{n} \rightarrow 0 and the limit of a constant, gives the same constant value.



This implies that,


^{ \lim}_{n \to \infty} (1+\frac{1}{n})= 1 +0


This gives us,

^{ \lim}_{n \to \infty} (1+\frac{1}{n})= 1


The correct answer is D



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3 years ago
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8 0
3 years ago
A city has a population of 230,000 people. Suppose that each year the population grows by 8.5%. What will the population be afte
worty [1.4K]

Answer:

720,682.92

Step-by-step explanation:

8.5% = 0.085

P(t) = Initial Population * (1 + rate)t

P(t) = 230,000(1 + 0.085)t

P(t) = 230,000(1.085)t

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3 years ago
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3 years ago
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Two vertical buildings 57 meters apart are 158 meters and 237 meters high. Find the angle of elevation from the top of the short
miskamm [114]

Given :

Two vertical buildings 57 meters apart are 158 meters and 237 meters high.

To Find :

The angle of elevation from the top of the shorter building to the top of the taller building.

Solution :

Distance between height of building, h = 237 - 158 = 79 m.

Distance between these building , d = 57 m.

Now,

tan\ \theta = \dfrac{h}{d}\\\\tan\ \theta = \dfrac{79}{57}\\\\tan\ \theta = 1.386\\\\\theta = tan ^{-1} 1.386\\\\\theta = 54.19^{\circ}

Therefore, the angle of elevation from the top of the shorter building to the top of the taller building is 54.19°.

Hence, this is the required solution.

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2 years ago
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