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2 years ago

Need help as soon as possible! What is the value of g(3)? 2 3 9 14

Mathematics

1 answer:

Alex777 [14]2 years ago

5 0

g(x) is a piecewise function in such a way that it changes how it's defined based on what x happens to be. There are three cases

Case A: g(x) = x-1 but only if $-2 \le x < -1$ (x is between -2 and -1; including -2 but excluding -1)

Case B: g(x) = 2x+3 but only when $-1 \le x < 3$ (x is between -1 and 3; including -1 but excluding 3)

Case C: g(x) = 6-x but only when $x \ge 3$

The input is x = 3 since we want to find the value of g(3). So we look at the 3 cases above (A,B,C) and determine that we use case C. Why? Because x = 3 makes $x \ge 3$ true. Put another way, x = 3 is in the interval [3, infinty). So we'll use g(x) = 6-x to find that...

g(x) = 6-x

g(3) = 6-3

g(3) = 3

Answer: 3

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Find the explicit formula that produces the given sequence. <br> 3/2, 3/4, 3/8, 3/16,...

lara [203]

$\frac{3}{2};\ \frac{3}{4};\ \frac{3}{8};\ \frac{3}{16};\ ...\\\\a_1=\frac{3}{2}\\\\a_2=\frac{3}{4}=\frac{3}{2}\cdot\frac{1}{2}\\\\a_3=\frac{3}{8}=\frac{3}{4}\cdot\frac{1}{2}=\frac{3}{2}\cdot\left(\frac{1}{2}\right)^2\\\\a_4=\frac{3}{16}=\frac{3}{8}\cdot\frac{1}{2}=\frac{3}{2}\cdot\left(\frac{1}{2}\right)^3\\\vdots$
$a_n=\frac{3}{2}\cdot\left(\frac{1}{2}\right)^{n-1}=\frac{3}{2}\cdot\left(\frac{1}{2}\right)^{-1}\cdot\left(\frac{1}{2}\right)^n=\frac{3}{2}\cdot2\cdot\left(\frac{1}{2}\right)^n=3\cdot\left(\frac{1}{2}\right)^n$

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2 years ago

What is the actual distance between these streets?

scoundrel [369]

It's D 4 3/8 miles

First you have to multiply 2 1/2 for the mile and 1 3/4 for the inches. You will get 4.375.Convert it to fraction which is 35/8 and simplify it to get 4 3/8.

Hope this helps!

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2 years ago

The Wall Street Journal reported that automobile crashes cost the United States $162 billion annually (2008 data). The average c

ivanzaharov [21]

Answer:

$n=(\frac{2.326(500)}{120})^2 =93.928 \approx 94$

So the answer for this case would be n=94 rounded up to the nearest integer

Step-by-step explanation:

Information given

$\bar X$ represent the sample mean

$\mu$ population mean (variable of interest)

$\sigma= 500$ represent the population standard deviation

n represent the sample size

Solution to the problem

The margin of error is given by this formula:

$ME=z_{\alpha/2}\frac{s}{\sqrt{n}}$ (a)

And on this case we have that ME =120 and we are interested in order to find the value of n, if we solve n from equation (a) we got:

$n=(\frac{z_{\alpha/2} \sigma}{ME})^2$ (b)

The confidence2 level is 98% or 0.98 then the significance level would be $\alpha=1-0.98=0.02$ and $\alpha/2=0.01$ , the critical value for this case would be $z_{\alpha/2}=2.326$ , replacing into formula (b) we got:

$n=(\frac{2.326(500)}{120})^2 =93.928 \approx 94$

So the answer for this case would be n=94 rounded up to the nearest integer

8 0

3 years ago

On a car trip, Ben drove 65 miles more than half the number of miles Steve drove. Together they drove 500 miles. How many miles

tatyana61 [14]

Answer:

210 miles

Step-by-step explanation:

Let's represent it mathematically.

Ben drove 65 miles more than half the number of miles Steve drove, so we represent it by

B = 65 + ½S

It is also said that together, they drove 500 miles, we represent it with.

B + S = 500

Now, we solve simultaneously.

Let's eliminate the ½ in Ben's drive. So we multiply the equation by 2.

2B = 130 + S.

Rearranging, we have

S = 2B - 130.

We substitute this value of S, in the second equation. So we have.

B + (2B - 130) = 500, open the brackets

B + 2B - 130 = 500

3B - 130 = 500, collecting the like terms

3B = 500 + 130

3B = 630

B = 630/3

B = 210 miles.

Therefore, Ben drove 210 miles.

Kindly vote Brainliest.

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3 years ago

Johanna took $125 to the mall. She bought 5 shirts (s) that cost the same price. Which expression represents the amount of money

svp [43]

Answer:

I think its something like: Money Leftover = 125 - (price of one shirt * 5)

Step-by-step explanation:

just use variables in the place of "price of one shirt" and "Money Leftover".

multiplying the price of one shirt by five since she buys 5 of the same shirt and subtracting that value from her budget will leave you with the amount of money she had left after the purchase.

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2 years ago

Read 2 more answers