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3 years ago

What's the correct formula for this function?

Mathematics

2 answers:

Reptile [31]3 years ago

8 0

Answer:

Option C. y = -2x + 3

Step-by-step explanation:

When we look at this function we see that it has a negative slope and the y-intercept is equal to (0,3). From this we know that the function we are looking for will be looking like...

y = mx + 3

And as I said earlier since the slope is negative, the only right option is this case will be Option C

RUDIKE [14]3 years ago

5 0

Answer:

The correct anwer is (C) : y = - 2x + 3

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The following graph represents the hourly commission of a home appliance salesperson, y, based on the number of salespeople that

grandymaker [24]

We have been given graph of a downward opening parabola with vertex at point $(6.5,42.25)$ . We are asked to write equation of the parabola in standard form.

We know that equation of parabola in standard form is $f(x)=ax^2+bx+c$ .

We will write our equation in vertex form and then convert it into standard form.

Vertex for of parabola is $y=a(x-h)^2+k$ , where point (h,k) represents vertex of parabola and a represents leading coefficient.

Since our parabola is downward opening so leading coefficient will be negative.

Upon substituting coordinates of vertex and point (0,0) in vertex form, we will get:

$0=-a(0-6.5)^2+42.25$

$0=-a(42.25)+42.25$

$-42.25=-a(42.25)+42.25-42.25$

$-42.25=-42.25a$

$a=1$ Divide both sides by $-42.25$

So our equation in vertex form would be $f(x)=-(x-6.5)^2+42.25$ .

Let us convert it in standard from.

$f(x)=-(x^2-13x+42.25)+42.25$

$f(x)=-x^2+13x-42.25+42.25$

$f(x)=-x^2+13x$

Therefore, the equation of function is standard form would be $f(x)=-x^2+13x$ .

3 0

3 years ago

F(x)=7x-17/x^2+6x+9 <br>solve using fractional decomposition

Kazeer [188]

Answer:

f(x) = 7/(x+3) -38/(x+3)²

Step-by-step explanation:

The denominator is a perfect square, so the decomposition to fractions will involve both a linear denominator and a quadratic denominator.

You can start with the form ...

... f(x) = B/(x+3) + A/(x+3)²

and write this sum as ...

... f(x) = (Bx +3B +A)/(x+3)²

Equating coefficients gives ...

... Bx = 7x . . . . . B = 7

... 3B +A = -17 . . . . the constant term

... 21 +A = -17 . . . . filling in the value of B

... A = -38 . . . . . . . subtract 21 to find A

Now, we know ...

... f(x) = 7/(x+3) -38/(x+3)²

8 0

2 years ago

A survey of 85 families showed that 36 owned at least one DVD player. Find the 99% confidence interval estimate of the true prop

attashe74 [19]

Answer:

$0.424 - 2.58\sqrt{\frac{0.424(1-0.424)}{85}}=0.286$

$0.424 + 2.58\sqrt{\frac{0.424(1-0.424)}{85}}=0.562$

The 99% confidence interval would be given by (0.286;0.562)

Step-by-step explanation:

Information given:

$X= 36$ represent the families owned at least one DVD player

$n= 85$ represent the total number of families

$\hat p=\frac{36}{85}= 0.424$ represent the estimated proportion of families owned at least one DVD player

In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 99% of confidence, our significance level would be given by $\alpha=1-0.99=0.01$ and $\alpha/2 =0.05$ . And the critical value would be given by: