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Lorico [155]
4 years ago
6

Lisa has developed a new product, and knows that the graph of function R models her revenue from selling the item, after deducti

ng expenses, when she charges x dollars per unit.
Lisa wants to restrict function R to only model selling prices for which she will make a profit. Which interval should she use as the domain of the function?

Mathematics
2 answers:
Eva8 [605]4 years ago
6 0

Answer:

Choice B is correct;  (10, 60)

Step-by-step explanation:

For Lisa to make a profit, the function R should assume a value greater than 0;

R > 0

We are to determine the interval of x values for which the above expression will be true.

From the graph, R(x) = 0 when x = 10. As x increases from 10 to 60, the value of R(x) remains positive, that is;

R(x) ≥ 0 for values of x in the interval (10, 60)

The domain that she should use in order to only model selling prices for which she will make a profit is thus;

(10, 60)

Tpy6a [65]4 years ago
3 0

Answer:

1021626

31248941

Step-by-step explanation:

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Paula has 24 stamps in her collection among her stamps 1/3 have pictures of animals out the her stamps with pictures of animals
fomenos

Answer:

First we need to find 1/3 of 24. When you see "of" replace it with "×".


1/3 of 24 =

1/3 × 24 =

24/ 3 = 8


So 8 stamps are animals. Now we find 3/4 of 8 to find out how many have birds.


3/4 of 8 =

3/4 × 8 =

24/4 = 6


6 have birds

Step-by-step explanation:

24/3 = 8 stamps with pictures of animals, 8 x 3/4 = 6 stamps with birds on them. If it helps 8 has a denominator of 1 so you just multiply the top and the bottom of the fractions. 8x3=24 and you divide that by 4x1

6 0
3 years ago
List the 6 congruency statements given ABC = DEF
galina1969 [7]

Answer:

∠A ≅ ∠D, ∠B ≅ ∠E, ∠c ≅ ∠F, AB = DE, BC = EF, AC = DF

Step-by-step explanation:

Given that triangles ABC and DEF are congruent. Now we need to choose correct congruency statements from the given choices.

We know that corresponding angles of congruent triangles are equal so we can write:

∠A ≅ ∠D

∠B ≅ ∠E

∠c ≅ ∠F

We know that corresponding sides of congruent triangles are equal so we can write:

AB = DE

BC = EF

AC = DF

comparing these with given choices we see that, First choice is correct.


5 0
3 years ago
What is the surface area of this triangular prism? The base of each triangle is 42 m and the height of the triangular base is 20
shutvik [7]

<u>Given</u>:

The base of each triangular base is 42 m.

The height of each triangular base is 20 m.

The sides of the triangle are 29 m each.

The height of the triangular prism is 16 m.

We need to determine the surface area of the triangular prism.

<u>Surface area of the triangular prism:</u>

The surface area of the triangular prism can be determined using the formula,

SA=bh+(s_1+s_2+s_3)H

where b is the base of the triangle,

h is the height of the triangle,

s₁, s₂ and s₃ are sides of the triangle and

H is the height of the prism.

Substituting the values, we get;

SA=(42)(20)+(42+29+29)(16)

SA=840+(100)(16)

SA=840+1600

SA=2440

Thus, the surface area of the triangular prism is 2440 m²

8 0
3 years ago
TJ rented a truck to move to a new apartment. The regular price of a truck rental is $200. TJ has a 15% off coupon, He wants to
Elina [12.6K]

Answer: $170

Step-by-step explanation:

15% of 200 is equal to $30.

200 - 30 = 170

The answer to the question is 170.

8 0
3 years ago
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Is it an irrational numbet
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Answer:

Step-by-step explanation:

An irrational number is a number that cannot be expressed as a fraction. It has to have decimals that don't repeat or end. So your answer is no

8 0
3 years ago
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