P(-4,2),q(6,4),r(11,-2),s(2,-3)

Which is the graph of the cube root function f(x) = RootIndex 3 StartRoot x EndRoot?

lara [203]

Answer:

<h3>On a coordinate plane, a cube root function goes through (negative 8, negative 2), has an inflection point at (0, 0), and goes thorugh (8, 2).</h3>

Step-by-step explanation:

$f(x)=\sqrt[3]{x}\\\\f(-8)=\sqrt[3]{-8}=-2\to(-8,\ -2)\\\\f(0)=\sqrt[3]{0}=0\to(0,\ 0)\\\\f(8)=\sqrt[3]{8}=2\to(8,\ 2)\\\\\\\sqrt[3]{a}=b\iff b^3=a\\\\\text{Therefore:}\\\\\sqrt[3]{-8}=-2\ \text{because}\ (-2)^3=-8\\\sqrt[3]0=0\ \text{because}\ 0^3=0\\\sqrt[3]{8}=2\ \text{because}\ 2^3=8$

7 0

3 years ago

Read 2 more answers

An advertiser goes to a printer and is charged $73 for 100 copies of one flyer and $82 for 400 copies of a similar flyer. Assumi

USPshnik [31]

Answer:

y = 0.03x + 70

Slope here represents the variation in the charges with the change in the number of flyers

Positive slope means that the cost is increasing with increase in number of flyers

Step-by-step explanation:

Given:

for 100 copies advertiser is charged = $73

For 400 copies advertiser is charged = $82

Now,

here the charge is a function of number of flyers

we have the general line equation for a linear relationship as:

y = mx + c

here m is the slope

c is the constant

for the first case we have

y = $73

x = 100

thus,

73 = 100m + c ...........(1)

for the second case, we have

y = $82

x = 400

thus,

82 = 400m + c ...........(2)

subtracting (1) from (2)

82 = 400m + c

- ( 73 = 100m + c )

==================

9 = 300m + 0

or

m = 0.03

substituting the value of slope in equation (1)

73 = 100 × 0.03 + c

73 = 3 + c

or

c = 70

Hence,

the equation is y = 0.03x + 70

here y is amount charged and x are the number of flyers.

Slope here represents the variation in the charges with the change in the number of flyers

Positive slope means that the cost is increasing with increase in number of flyers

3 0

3 years ago

You play a game on your phone. For every correct move you make, you receive 50 points. For every second that it takes you to com

swat32

50*25= 1250
2mins 15seconds= 135 seconds
135*3= 405

1250-405 = 845

Your score is 845

8 0

3 years ago

If 100 people drink 1.5 cups of coffee a day and the cost per cup is .40 how much would it cost to provide coffee for the whole

N76 [4]

Answer:

It would cost 15600 to provide coffee for the whole year.

Step-by-step explanation:

Given:

If 100 people drink 1.5 cups of coffee a day and the cost per cup is .40

Now, to find the cost to provide coffee for the whole year if you're place is open 5 days a week.

So, we have the unit rate, and we have to find the cost of 1.5 cup by multiplying 0.40.

1.5 cup of coffee cost $1.5\times 0.40=0.60.$

Thus, 1.5 cup cost 0.60.

If, 100 people drink 1.5 cups.

Then, total cost of 100 people drinking 1.5 cups of coffee = $100\times 0.60=60$

As, place is open 5 days a week.

So, to get the cost of coffee in 5 days of a week we multiply 5 by 60:

$5\times 60\\\\=300.$

Hence, the cost of coffee in a week is 300.

In 1 year there are 52 weeks.

Now, to get the cost for the whole year we multiply 52 by 300:

$52\times 300\\\\=15600.$

Therefore, it would cost 15600 to provide coffee for the whole year.

6 0

3 years ago

Read 2 more answers

Find the equation of the line that is parallel to the line x + 5y = 10 and passes through the point (1, 3).

shusha [124]

Answer:

see explanation

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Rearrange x + 5y = 10 into this form

Subtract x from both sides

5y = - x + 10 ( divide all terms by 5 )

y = - $\frac{1}{5}$ x +2 ← in slope- intercept form

with slope m = - $\frac{1}{5}$

• Parallel lines have equal slopes, hence

y = - $\frac{1}{5}$ x + c ← is the partial equation of the parallel line

To find c substitute (1, 3) into the partial equation

3 = - $\frac{1}{5}$ + c ⇒ c = $\frac{16}{5}$

y = - $\frac{1}{5}$ x + $\frac{16}{5}$ ← equation of parallel line

3 0

3 years ago

Read 2 more answers