A graph of f(x) = 6x2 + 7x – 3 is shown on the grid.<br><br> What are the zeros of f ?

Ashley fills the container with sugar using a bowl. The bowl hold 1/3 cups of sugar. Ashley uses 6 bowls to fill the container.

Degger [83]

Answer:

1 bowl = 1/3 cups

6 bowls = (1/3) * 6

= 2 cups

So, the container hold 2 cups of sugar

Step-by-step explanation:

6 0

2 years ago

Identify the graph of 3x^2+y^2=9 for T(-1,3) and write an equation of the translated or rotated graph in general form.

Archy [21]

ANSWER

D. Ellipse;

$3{x}^{2} +{y}^{2} + 6x - 6y + 3= 0$

EXPLANATION

The given equation is

$3 {x}^{2} + {y}^{2} = 9$

Dividing through by 9 gives

$\frac{ {x}^{2} }{ 3} + \frac{ {y}^{2} }{9} = 1$

This is the equation of an ellipse centered at the origin.

If this ellipse has been translated, so that its center is now at (-1,3), then the equation of the translated ellipse becomes

$\frac{ {(x + 1) }^{2} }{ 3} + \frac{ {(y - 3)}^{2} }{9} = 1$

We multiply through by 9 to get,

$3 {(x + 1)}^{2} + {(y - 3)}^{2} = 9$

Expand to obtain;

$3( {x}^{2} + 2x + 1) + {y}^{2} - 6y + 9 = 9$

Expand to obtain;

$3{x}^{2} + 6x + 3+ {y}^{2} - 6y + 9 = 9$

Regroup and equate to zero to obtain;

$3{x}^{2} +{y}^{2} + 6x - 6y + 3= 0$

8 0

3 years ago

Read 2 more answers

A political scientist wants to know how college students feel about the Social Security system. She obtains a list of the 3456 u

Marina CMI [18]

Answer:

For this case the population is described as:

All the college students

And the political have a list of 3456 undergraduates at her college for the sampling frame.

The sample would be the 104 students who return the survey.

Is important to notice that since he know the information about her college she can apply inference about the parameter of interest just at her college and not about all the possible students of college.

Step-by-step explanation:

For this case the population is described as:

All the college students

And the political have a list of 3456 undergraduates at her college for the sampling frame.

The sample would be the 104 students who return the survey.

Is important to notice that since he know the information about her college she can apply inference about the parameter of interest just at her college and not about all the possible students of college.

For this case we can also find the non reponse rate since we know that the total of questionnaires are 250 and she got back just 104 answered

$Non-resp. = \frac{250-104}{250} = \frac{146}{250}= 0.584$

So we have a non response rate of 58.4 %

4 0

3 years ago

How do you do these questions?

algol [13]

Answer:

-x¹⁴ / 5040

-½ < x < ½

Step-by-step explanation:

f(x) = e^(-x²)

The Taylor series for eˣ centered at 0 is:

eˣ = ∑ (1/n!) xⁿ

Substitute -x²:

e^(-x²) = ∑ (1/n!) (-x²)ⁿ

e^(-x²) = ∑ (1/n!) (-1)ⁿ x²ⁿ

The 14th degree term occurs at n=7.

(1/7!) (-1)⁷ x¹⁴

-x¹⁴ / 5040

ln(1 + x) = ∑ₙ₌₁°° (-1)ⁿ⁺¹ xⁿ / n

If we substitute 4x²:

ln(1 + 4x²) = ∑ₙ₌₁°° (-1)ⁿ⁺¹ (4x²)ⁿ / n

Using ratio test:

lim(n→∞)│aₙ₊₁ / aₙ│< 1

lim(n→∞)│[(-1)ⁿ⁺² (4x²)ⁿ⁺¹ / (n+1)] / [(-1)ⁿ⁺¹ (4x²)ⁿ / n]│< 1

lim(n→∞)│-1 (4x²) n / (n+1)│< 1

4x² < 1

x² < ¼

-½ < x < ½

7 0

3 years ago

Solve for k: A=5k/7y

Mashutka [201]

Answer:

7/5 * A *y =k

Step-by-step explanation:

A=5k/7y

Multiply each side by 7y

A* 7y = 5k/7y * 7y

7Ay = 5k

Divide by 5

7Ay/5 = 5k/5

7/5 * A *y =k

4 0

3 years ago

A graph of f(x) = 6x2 + 7x – 3 is shown on the grid. What are the zeros of f ?