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Orlov [11]
3 years ago
14

The Mathalot company makes and sells textbooks. They have one linear function thst represents the cost of producing textbooks an

d another linear function that models how much income they can get from those textbooks. Describe the key features that would determine if these linear functions ever intercepted.
Mathematics
2 answers:
OverLord2011 [107]3 years ago
3 0

It's only possible for the two lines to intercept isif they have different slopes.

When two lines have the same slope they would be parallel and never intercept.

If the lines have different slopes, they would  eventually intercept.

Levart [38]3 years ago
3 0

Answer:

Two lines only can intercept if they have different slopes, if they have the same slope, the lines are parallel and they never intercept.

So if the cost of producing a book is different than the price of selling the book, the lines will intercept at some point.

Where the equations can be:

lose = A*x + b

win = C*x + d

where x is the number of books, A and C are the slopes, b and d are constants. Those two lines only will intercept if A is bigger than C, the intercept will be for x different than zero only when b is different than d

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Plz help I really need it
frosja888 [35]

Answer:

12% chance of winning because it's out of 100 tickets

Step-by-step explanation:

7 0
3 years ago
A combined total of 39000 is invested in two bonds that pay 5% and 6.5% simple interest. The annual interest is 235500 how much
dolphi86 [110]

Answer:

$12000 at 5%

$27000 at 6.5%.

Step-by-step explanation:

Let x represent amount invested at 5% and y represent amount invested at 6.5%.

We have been given that a combined total of 39000 is invested in two bonds. We can represent this information in an equation as:

x+y=39000...(1)

We are also told that the annual interest rate is 2355.00. We can represent this information in an equation as:

0.05x+0.065y=2355...(2)

Upon substituting equation (1) in equation (2), we will get:

0.05x+0.065(39000-x)=2355

0.05x+2535-0.065x=2355

-0.015x+2535=2355

-0.015x=2355-2535

-0.015x=-180

\frac{-0.015x}{-0.015}=\frac{-180}{-0.015}

x=12000

Therefore, an amount of $12,000 is invested at 5%.

Upon substituting x=12000 in equation (1), we will get:

12000+y=39000

y=39000-12000

y=27000

Therefore, an amount of $27,000 is invested at 6.5%.

4 0
3 years ago
I need help on this Question.!
OLga [1]

Answer:

see below

Step-by-step explanation:

m/n = 1/7

Using cross products

7m = n

This is a direct proportion

7 0
3 years ago
Which expression is equivalent to 1 over 5 m − 20?
laiz [17]

1

-----------

5m -20


factor out a 5 in the denominator

1

-----------

5 (m -4)


Choice A

7 0
3 years ago
If tan theta = 12/5 and cos theta < 0, what is sin theta ?
Talja [164]
1 + tan ² Ф=sec²Ф
1+(12/5)²=sec²Ф
169/25=sec² Ф
sec Ф=⁺₋√(169/25)=⁺₋13/5

sec Ф=1/cos Ф ⇒cosФ=1/sec Ф
 cos Ф>0   ⇔  sec Ф>0  ⇔  sec Ф=+ 13/5

cos Ф=1/secФ
cos Ф=1 / 13/5=5/13

we can calculate the sin Ф, with this method.
sin²Ф + cos²Ф=1  ⇒ sin Ф=⁺₋√(1-cos² Ф)
sin Ф=⁺₋√[1-(5/13)²]=⁺₋12/13
like cos Ф>0 and tan Ф>0   ⇒ sin Ф>0 ⇒sin Ф=12/13

answer: d.12/13

other method
tan Ф=sin Ф / cos Ф
12/5=sin Ф / 5/13
sin Ф=(12/5)*(5/13)=12/13

answer: d.12/13

8 0
3 years ago
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