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2 years ago

Six people paint the fence and 15 hours how long would it take five workers to do the same job

Mathematics

1 answer:

mestny [16]2 years ago

3 0

It will take 12.5 hrs for five workers to do the same job.

steps:

15 × 5 = 75

75 ÷ 6 = 12.5

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Rewrite the function in standard form, intercept form, find the vertex, find the y-intercept, and find the x-intercepts.

jasenka [17]

Answer:

We have the function, $f(x)=(x+3)^{2}-4$

On simplifying, we get,

$f(x)=x^2+6x+9-4$

i.e. $f(x)=x^2+6x+5$

Thus, the standard form of the function is $f(x)=x^2+6x+5$ .

Now, the factors of the given functions are (x+1) and (x+5).

Since, the intercept form of the function is the factored form of the function.

So, we have, intercept form of the function is $f(x)=(x+1)(x+5)$ .

Now, we know that,

Value of x-coordinate of the vertex is $\frac{-b}{2a}$ i.e. $\frac{-6}{2\times 1}$ i.e. $\frac{-6}{2}$ i.e. x= -3

Then, $f(-3)=(-3)^2+6\times (-3)+5$ i.e. $f(-3)=9-18+5$ i.e. f(-3)=-4

So, the vertex of the function is (-3,-4).

Further, we know that, 'the y-intercept of a function is the point where the function crosses y-axis'.

So, when x=0, we have, $f(0)=0^2+6\times 0+5$ i.e. f(0) = 5

Thus, the y-intercept is (0,5)

Also, 'the x-intercept of a function is the point where the function crossese x-axis'.

Then, for f(x)=0, we have $0=x^2+6x+5$ i.e. $0=(x+1)(x+5)$ i.e. x= -1 and x= -5

Thus, the x-intercept are (-1,0) and (-5,0).

8 0

3 years ago

The report "Teens and Distracted Driving: Texting, Talking and Other Uses of the Cell Phone Behind the Wheel" summarizes data fr

Sphinxa [80]

Answer:

"Teens and Distracted Driving: Texting, Talking and Other Uses of the Cell Phone Behind the Wheel"

a. The inference made involves estimation. The question provided that the statements were made on the basis of the resulting data and not on the basis of some hypothesis testing.

This implies that some statistics were calculated from sample data to approximate the population parameter, as shown in the statements. The statements were not an attempt to establish the statistical significance of some claims.

b. The population of interest is American teenagers between 12-17.

Step-by-step explanation:

An inference from data is a statistical estimation by which some statistics are calculated based on the sample data of 800 teens between the ages of 12 and 17. The statistics serve as an approximation to the population parameter.

Inference based on hypothesis testing establishes if a claim has statistical significance by providing statistical evidence in favor of the claim or against it.

7 0

3 years ago

What is 75 Times 37 equal

alukav5142 [94]

Answer:

2775

Step-by-step explanation:

Hope this helped :)

3 0

2 years ago

Can someone show me how to do this?

andriy [413]

3/4 ( (-50+2)/5)
= 3/4 ( -48/5)
= 3/4 * -48/5
= -36/5

6 0

3 years ago

Simplify the following ratio 12:1

const2013 [10]

Answer:

12:1

………………………………………………

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6 0

2 years ago

Read 2 more answers