The base of a solid S is the region bounded by the parabola x^2=8y

Oksana_A [137]

Answer:

Step-by-step explanation:

1.) Given the equation 2x + 3y = 1470, to write the equation in the slope intercept form, we make y the subject of the formula.

3y = -2x + 1470

where: -2/3 is the slope and 490 is the y-intercept.

2.) To graph this equation using the slope intercept form,

i.) we plot the y-intercept point. (i.e. point (0, 490)).

ii.) we use the slope to find a second point (preferably a point on the x-axis). The slope is negative means that the line ill slope downwards from left to right. To find the point at which the line crosses the x-axis, we recall that the slope of a line is given by

i.e.

Thus, the line passes through the points, (0, 490) and (735, 0).

3.) We write the equation with a function notation as follows

The graph of the function above represents the number of wrap lunch specials sold for every given number of sandwich lunch specials sold.

4.) The graph of the function is attached. In the graph the vertical axis is the y-axis while the horizontal axis is the x-axis.

5.) Given that Sal's total profit on lunch specials for the next month is $1,593 and that the profit amounts are $2 for each sandwich and $3 for each wrap.

The gaph of the function representing the new situation is similar to the graph of the previous situation because both graphs have the same slope and a parallel to each other.

They have different y-intercept with the y-intercept of the later situation being (0, 531). Thus the graph of the later situation is above the graph of the previous situation.

6.) In the given graph the y-intercept is (0, 300) and the x-axis is (450, 0). Recall that the equation of a line with two of the point through which the line passes known is given by

Therefore, the equation of the given graph is given by

8 0

3 years ago

A new computer loses 1/2 of its value every year. Which graph could represent the relationship between the year and the computer

Igoryamba

Let's first consider: the fact that a new computer loses 1/2 of its value

⇒ third choice and fourth choice are eliminated

⇒ because of the graph project the computer's value as growing over

years

Now let's try to set up an equation:

After 1st year ⇒ Computer's value = $total_.value*\frac{1}{2}$

After 2nd year ⇒ Computer's value = $total_.value*\frac{1}{2}*\frac{1}{2}=total_.value*(\frac{1}{2} )^2$

After 3rd year ⇒ Computer's value = $total_.value*\frac{1}{2}*\frac{1}{2}* \frac{1}{2}=total_.value*(\frac{1}{2})^3$

..... (Hopefully you see a pattern)

After x year ⇒ Computer's value = $total_.value*(\frac{1}{2})^x$

Therefore, the equation is: $total_.value*(\frac{1}{2})^x$

⇒that means the graph has to exponentially decreasing as it has

an exponent (meaning the function is exponential) and a base less

than 1 (meaning that the function is decreasing)

Answer: Choice (1)

Hope that helps!

5 0

2 years ago

I need atleast 5 volunteers for the magic trick

Leto [7]

What magic trick??

Are you gonna do a magic??

Sorry for a lot of questions.

3 0

2 years ago

What is the equation of the line that goes through (2, 2) and is perpendicular to y = 5x + 3?

Marina CMI [18]

Y = 5x + 3.....the slope here is 5. A perpendicular line will have a negative reciprocal slope. To find the negative reciprocal, we flip the original slope and change the sign. So we have slope 5 or 5/1.....flip it and it becomes 1/5....change the sign and it becomes - 1/5. So our perpendicular line will have a slope of -1/5.

y = mx + b
slope(m) = -1/5
(2,2)....x = 2 and y = 2
now we sub into the formula and find b, the y int
2 = -1/5(2) + b
2 = -2/5 + b
2 + 2/5 = b
10/5 + 2/5 = b
12/5 = b
so ur perpendicular equation is : y = -1/5x + 12/5 <==

5 0

3 years ago

Is 11 rational or irrational

PolarNik [594]

11 is irrational cause it is on the number line
most numbers in the number line are irrational numbers

3 0

3 years ago

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