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3 years ago

What is the equation?

Mathematics

1 answer:

Nana76 [90]3 years ago

8 0

Answer:

y=-2+4

Step-by-step explanation:

we know the y intercept is four, so we can plug that into y=mx+b

so far we know y=mx+4

and the equation for finding slope is $\frac{y_{2} -y_{1} }{x_{2} -x_{1} }$

so let's find two points on the graph

let's make it easy on ourselves and use the points laid out for us

(0,4) and (2,0)

$\frac{0-4}{2-0}$

solving that would come out to be $\frac{-4}{2}$

simplified, that would be -2

now that we know the slope, we can put them into slope-intercept form

y=-2+4

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Create a word problem on Algebraic Expressions and Measurement (grade 10)

mrs_skeptik [129]

Frank can build a fence in twice the time it would take Sandy. Working together, they can build it in 7 hours. How long will it take each of them to do it alone?

Answer

If Frank and Sandy can build the fence in 7 hours, they must be building

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Now, let the amount of time it takes Sandy be

hours so that Frank takes

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of the fence every hour.

We now have the following equation to solve.

10.50

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6 0

3 years ago

The coordinates of the endpoint of QS are Q(-9,8) and S(9,-4). Point R is on cue as such that QR:RS Is in the ratio 1:2. What ar

marishachu [46]

R(–3, 4)

Step-by-step explanation:

Let Q(-9,8) and S(9,-4) be the given points and let R(x, y) divides QS in the ratio 1:2.

By section formula,

$R(x, y)=R\left(\frac{m x_{2}+n x_{1}}{m+n}, \frac{m y_{2}+n y_{1}}{m+n}\right)$

Here, $x_{1}=-9, y_{1}=8, \text { and } x_{2}=9, y_{2}=-4 \text { and } m=1, n=2$

Substituting this in the section formula

$R(x, y)=R\left(\frac{1(9)+2(-9)}{1+2}, \frac{1(-4)+2(8)}{1+2}\right)$

To simplifying the expression, we get

$\Rightarrow R(x, y)=R\left(\frac{9-18}{3}, \frac{-4+16}{3}\right)$

$\Rightarrow R(x, y)=R\left(\frac{-9}{3}, \frac{12}{3}\right)$

⇒ R(x,y) = R(–3,4)

Hence, the coordinates of point R is (–3, 4).

6 0

3 years ago

Suppose f and g are continuous functions such that g(6) = 6 and lim x → 6 [3f(x) + f(x)g(x)] = 45. Find f(6).

aleksandr82 [10.1K]

Since g(6)=6, and both functions are continuous, we have:

$\lim_{x \to 6} [3f(x)+f(x)g(x)] = 45\\\\\lim_{x \to 6} [3f(x)+6f(x)] = 45\\\\lim_{x \to 6} [9f(x)] = 45\\\\9\cdot lim_{x \to 6} f(x) = 45\\\\lim_{x \to 6} f(x)=5$

if a function is continuous at a point c, then $lim_{x \to c} f(x)=f(c)$ ,

that is, in a c ∈ a continuous interval, f(c) and the limit of f as x approaches c are the same.

Thus, since $lim_{x \to 6} f(x)=5$ , f(6) = 5

Answer: 5

7 0

4 years ago

The head track coach for PCTVS has a big track meet coming up. He knows that his biggest rival is Clifton and the entire track m

frutty [35]

Answer:

ookkkkk

Step-by-step explanation: i have no clue about what u saying

7 0

3 years ago

At a new exhibit in the Museum of Science, people are asked to choose between 94 or 220 random draws from a machine. The machine

Tresset [83]

Answer:

0.0869 = 8.69% probability of getting more than 61% green balls.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the z-score 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 p-value, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

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

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean $\mu = p$ and standard deviation $s = \sqrt{\frac{p(1-p)}{n}}$