Target sells 24 bottles of water for$3 and 36 bottles of water for$4 which is the better by and how much

Domain and range of the inequality y<√x+3 +1

Margaret [11]

The domain of the given inequality is y>1.

<h3>What is Inequality?</h3>

An inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions.

Here, given inequality:

y < $\sqrt{x+3}+1$

Related equation:

y = $\sqrt{x+3}+1$

The equation defined as,

x+3 > 0

x > -3

In the given inequality, the sign of inequality is <, it means the points on the boundary line are not included in the solution set. Thus, -3 is not included in the domain.

So, the domain of the given inequality is x>-3.

We know that,

$\sqrt{x+3} \geq 0$

adding 1 on both sides, we get

$\sqrt{x+3} + 1 \geq 1$

y ≥ 1

The points on the boundary line are not included in the solution set. Thus, 1 is not included in the range.

Thus, the domain of the given inequality is y>1.

Learn more about Inequality from:

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6 0

1 year ago

What is 48,148 in expanded form?

irina1246 [14]

Answer:

4 ten thousands, 8 thousands, 1 hundred, 4 tens, 8 ones.

Step-by-step explanation:

6 0

2 years ago

Please help and show work<br>

Mkey [24]

$x=0=>0^{5} +32 = ( 0 +2 ) ^ 5$

P/s: $0^5+32=32 , (0+2)^5=2^5 =32$

$x=-2=> (-2)^5 + 32 = ( -2 +2 )^5$

P/s: $(-2)^5 +32 = -32+32=0, (-2+2)^5=0^5=0$

ok done. Thank to me :>

7 0

2 years ago

23. The Central Limit Theorem states that: (a) if n is large then the distribution of the sample can be approximated closely by

emmasim [6.3K]

Answer:

(c) if n is large, then the sampling distribution of the sample mean can be approximated closely by a normal curve.

Step-by-step explanation:

The Central Limit Theorem estabilishes that, for a random variable X, with mean $\mu$ and standard deviation $\sigma$ , the sampling distribution of the sample mean, with a large sample size, can be approximated to a normal distribution with mean $\mu$ and standard deviation $\frac{\sigma}{\sqrt{n}}$ .

This is valid no matter the shape of the population.

So the correct answer is:

(c) if n is large, then the sampling distribution of the sample mean can be approximated closely by a normal curve.

5 0

3 years ago

y varies jointly as x and z. y equals 80y=80 when x equals 5x=5 and z equals 4z=4. Find y when x equals 4x=4 and z equals 6z=6.

Lubov Fominskaja [6]

$\bf \qquad \qquad \textit{direct proportional variation}\\\\
\textit{\underline{y} varies directly with \underline{x}}\qquad \qquad y=kx\impliedby 
\begin{array}{llll}
k=constant\ of\\
\qquad variation
\end{array}\\\\
-------------------------------\\\\$

$\bf \textit{\underline{y} varies jointly as \underline{x} and \underline{z}}\implies y=kxz
\\\\\\
\textit{we also know that }
\begin{cases}
y=80\\
x=5\\
z=4
\end{cases}\implies 80=k(5)(4)\implies 80=20k
\\\\\\
\cfrac{80}{20}=k\implies 4=k\qquad thus\qquad \boxed{y=4xz}\\\\
-------------------------------\\\\ if~\begin{cases}
x=4\\
z=6
\end{cases}~\textit{what is \underline{y}?}\qquad y=4(4)(6)$

7 0

3 years ago