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2 years ago

Which equation represents the graphed function?

Mathematics

2 answers:

Neporo4naja [7]2 years ago

5 0

Answer:

y=1/4x-2

Step-by-step explanation:

the first y axis number it touches is -2 and the slope is 1/4.

sammy [17]2 years ago

5 0

The equation representing the line on the given graph is :

$y = \dfrac{1}{4} x - 2$

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The difference between two numbers is 15. If 8 is added to twice the greater number, the result is 4 less than 3 times the lesse

yuradex [85]

Answer:

Step-by-step explanation:

Let $x$ be the greater number and $y$ be the smaller number. We know that their difference is 15, so we have

$x-y=15$

Then, we have the following information: if we add twice the greater (2x) and 8 (2x+8), the result is 3 times the lesser (3y) minus four (3y-4). So, we have

$2x+8 = 3y-4 \iff 2x-3y = -12$

So, we have the follwing system:

$\begin{cases} x-y=15\\2x-3y = -12\end{cases}$

From the first equation, we can derive $x = y+15$ , and substitute this expression in the second equation to get

$2(y+15)-3y = -12 \iff 2y + 30 -3y = -12 \iff -y = -42 \iff y = 42$

Substitute this value for y in the first equation to get

$x-42=15 \iff x=15+42 \iff x = 57$

8 0

3 years ago

The time required for an outlet pipe to an empty a tank is inversely proportional to the cross-sectional area of the pipe. A pip

NNADVOKAT [17]

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

$\bf \stackrel{\textit{\underline{t}ime to empty a tank is inversely proportional to \underline{c}ross-sectional area}}{t=\cfrac{k}{c}}
\\\\\\
\textit{we also know that }
\begin{cases}
c=113.0\\
t=6.4
\end{cases}\implies 6.4=\cfrac{k}{113}\implies 723.2=k
\\\\\\
therefore\qquad \boxed{t=\cfrac{723.2}{c}}
\\\\\\
\textit{when c = 50.25, what is \underline{t}?}\qquad t=\cfrac{723.2}{50.25}\implies t\approx 14.3920398$

5 0

4 years ago

I NEED HELP ASAP JUST TELL ME THE ANSWER THANK YOU WILL MARK BRAINLIEST !!

Strike441 [17]

Answer:

Step-by-step explanation:

$(6^{-4} \times 8^{-7})^{-9} =$

$= 6^{-4 \times (-9)} \times 8^{-7 \times (-9)}$

$= 6^{36} \times 8^{63}$

Answer: C

3 0

3 years ago

Read 2 more answers

Suppose 3% of the people contacted by phone are receptive to a certain sales pitch and buy your product. If your sales staff con

Shalnov [3]

Answer:

0% probability that more than 100 of the people contacted will purchase your product

Step-by-step explanation:

To solve this question, i am going to use the binomial approximation to the normal.

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

Can be approximated to a normal distribution, using the expected value and the standard deviation.

The expected value of the binomial distribution is:

$E(X) = np$

The standard deviation of the binomial distribution is:

$\sqrt{V(X)} = \sqrt{np(1-p)}$

Normal probability distribution

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

When we are approximating a binomial distribution to a normal one, we have that $\mu = E(X)$ , $\sigma = \sqrt{V(X)}$ .