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3 years ago

The equation y= 1/2 x +4 is graphed below.which equation would intersect this line at (4, 6)?

Mathematics

1 answer:

Anton [14]3 years ago

5 0

Answer:

we have the equation y = (1/2)*x + 4.

now, any equation that passes through the point (4, 6) will intersect this line, so if we have an equation f(x), we must see if:

f(4) = 6.

if f(4) = 6, then f(x) intersects the equation y = (1/2)*x + 4 in the point (4, 6).

If we want to construct f(x), an easy example can be:

f(x) = y = k*x.

such that:

6 = k*4

k = 6/4 = 3/2.

then the function

f(x) = y= (3/2)*x intersects the equation y = (1/2)*x + 4 in the point (4, 6)

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Kamal's bakery recently spent a total of $700 on new equipment and their average hourly operating costs are $12. Their average h

Law Incorporation [45]

Answer:

25 hrs

Step-by-step explanation:

#First, we calculate the average earnings per hour by subtracting the running costs from receipts:

$Net \ Hourly \ Earnings=Receipts -Running \ Costs\\\\=40-12\\\\=28$

Let x be the number of hours it takes to fully recover the investment costs. We divide the investment cost by net receipts to solve for x;

$x=\frac{I}{Receipts}\\\\\\=\frac{700}{28}\\\\=25\ hrs$

Hence, it takes 25 hrs to repay the investment cost.

8 0

3 years ago

The number of daily sales of a product was found to be given by S = 600xe−x2 + 600 x days after the start of an advertising camp

Elena-2011 [213]

Answer:

a. 20520

b. 12600

Step-by-step explanation:

Given the function S = 600xe^-x² + 600.

a. To find the average, we have to find the definite integral of the function because average, as it is known, is the sum of data points divided by the size of its dataset, this can be used for discrete data. Integral formula is just the continuous form of average, so we are using integral because we were given an interval of x= 0 to X = 30.

Let's integrate 100xe^x² first. Let –x² = u, this means –2xdx = du and we have dx = –du/2x. Also, when x = 0, u = –(0)² = –0 and when x = 30, u = –(30)² = –900. When we make our substitutions we have:

–600(xe^udu)/2x = –600(e^udu)/2 upon integrating that we have –600(e^u)/2. Applying our interval we have

–600[(e^900)/2 – (e^0)/2] ≈ – [– 3.7 – (1/2)] = –600 (–4.2) = 600 x 4.2 = 2520

Now let's integrate 600, with the interval x = 0 to x = 30 (we are using this interval here because the substitution we made didn't affect this).

We have, upon integrating:

600x.

Substituting our intervals we have:

600(30 – 0) = 600 x 30 = 18000.

Adding that up we have: 2520 + 18000 = 20520.

b. The same method is needed, just difference of interval.

Therefore, after integrating the first component with intervals u = 900 to u = 2500 (from x² = u) we have:

–600[(e^2500)/2 – (e^900)/2] ≈ –600[2.7 – 3.7] = –600(–1) = 600.

Then for the second component:

600x using x = 30 to x = 50

600(50 – 30) = 600 x 20 = 12000.

Adding that up we have:

12000 + 600 = 12600.

4 0

3 years ago

A luxury chairs manager found that an employee made 3/4 of a chair every 3/8 of an hour

ella [17]

Answer:

Step-by-step explanation:

(3c/4)/(3h/8)

(3c/4)(8/3h)

(24/12)c/h

2 c/h

So employee can make 2 chairs in one hour.

7 0

2 years ago

Gina opened a bank account with $40. She plans to add $20 per week to the account and not make any withdrawals. After how many w

ZanzabumX [31]

Answer:

After 33 weeks.

Step-by-step explanation:

Let w be number of weeks.

We have been given that Gina opened a bank account with $40. She plans to add $20 per week to the account and not make any withdrawals. So the balance after w weeks will be 20w+40.

To figure out number of weeks Gina will have exactly $700 in her account, we will equate the balance after w weeks to 700.

$20w+40=700$

Let us subtract 40 from both sides of equation.

$20w+40-40=700-40$

$20w=660$

Upon Dividing both sides of our equation by 20 we will get,

$\frac{20w}{20}=\frac{660}{20}$

$w=\frac{660}{20}$

$w=33$

Therefore, after 33 weeks Gina will have exactly $700 in her account, excluding interest.

6 0

4 years ago

What does a sample space look like?

grin007 [14]

Answer:

A sample space is a collection or a set of possible outcomes of a random experiment. The sample space is represented using the symbol, “S”. The subset of possible outcomes of an experiment is called events. A sample space may contain a number of outcomes that depends on the experiment

Hope this helps even a little bit:)

6 0

2 years ago

Read 2 more answers