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3 years ago

G(x)=\sqrt{x+3}g(x)=

Mathematics

1 answer:

Yuliya22 [10]3 years ago

8 0

Answer:

The domain of the function g(x) s the interval [-3,∞)

$x\geq -3$

Step-by-step explanation:

we have

$g(x)=\sqrt{x+3}$

we know that

The radicand must be greater than or equal to zero

$x+3\geq 0$

solve for x

$x\geq -3$

The domain is the interval [-3,∞)

All real numbers greater than or equal to -3

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Which fraction is graphed ?

lesya692 [45]

Answer: B is the correct choice

Step-by-step explanation:

The values are essentially the same. You need to recognize how the symbols in the expressions match up with the symbols on the graph.

The open circle on the right end of the parabola means the function is less than (not including) 2 so <2 for that part.

The solid circle at the left of the line means f(x) includes all the values to the right are greater than or equal to 2 so ≥2 for that part.

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3 years ago

SV−→bisects ∠RST. If m∠RSV = 64, what is m∠RST?

Anuta_ua [19.1K]

Given:

$\overrightarrow{SV}$ bisects ∠RST.

$m\angle RSV=64^\circ$

To find:

The $m\angle RST$ .

Solution:

Since, $\overrightarrow{SV}$ bisects ∠RST, therefore

$m\angle RSV=m\angle VST$ ...(1)

Now,

$m\angle RST=m\angle RSV+m\angle VST$

$m\angle RST=m\angle RSV+m\angle RSV$ [Using (1)]

$m\angle RST=2\times m\angle RSV$

$m\angle RST=2\times 64^\circ$ $[\text{Given }m\angle RSV=64^\circ]$

$m\angle RST=128^\circ$

Therefore, the value of $m\angle RST$ is $128^\circ$ .

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4 years ago

A variable that is manipulated by an experimenter to explore its relationship to other variables is a(n) _____ variable.

LuckyWell [14K]

Answer:

Independent variable

Step-by-step explanation:

Independent variable :

An independent variable is a variable that speaks to an amount that is being controlled in a trial. A needy variable speaks to an amount whose worth relies upon those controls.

It is the variable in a equation that may have its worth unreservedly picked without thinking about estimations of some other variable.

For example :

In equation $y=5x+3$ , x is an independent variable

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3 years ago

Graph the equation.<br> 2x + 3y = 12

lukranit [14]

Well, put x=0 then y=4
x=6 y=0
x=3 y=2
Now plot the graph :)

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3 years ago

Read 2 more answers

Based on historical data, your manager believes that 41% of the company's orders come from first-time customers. A random sample

TEA [102]

Answer:

The probability that the sample proportion is between 0.35 and 0.5 is 0.7895

Step-by-step explanation:

To calculate the probability that the sample proportion is between 0.35 and 0.5 we need to know the z-scores of the sample proportions 0.35 and 0.5.

z-score of the sample proportion is calculated as

z= $\frac{p(s)-p}{\sqrt{\frac{p*(1-p)}{N} } }$ where

p(s) is the sample proportion of first time customers
p is the proportion of first time customers based on historical data

N is the sample size

For the sample proportion 0.35:

z(0.35)= $\frac{0,35-0.41}{\sqrt{\frac{0.41*0.59}{72} } }$ ≈ -1.035

For the sample proportion 0.5:

z(0.5)= $\frac{0,5-0.41}{\sqrt{\frac{0.41*0.59}{72} } }$ ≈ 1.553

The probabilities for z of being smaller than these z-scores are:

P(z<z(0.35))= 0.1503

P(z<z(0.5))= 0.9398

Then the probability that the sample proportion is between 0.35 and 0.5 is

P(z(0.35)<z<z(0.5))= 0.9398 - 0.1503 =0.7895

6 0

3 years ago