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3 years ago

Please help asap 30 pts

Mathematics

2 answers:

svet-max [94.6K]3 years ago

8 0

B. The farthest number away from 0 in either direction creates the narrowest graph.

pentagon [3]3 years ago

5 0

That would be the one with the highest coefficient of x^2 (absolute value)

Its B

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Kelli swam upstream for some distance in one hour. She then swam downstream the same river for the same distance in only 6 minut

solmaris [256]

Answer:

6.11km/hr

Step-by-step explanation:

Let the speed that Kelli swims be represented by Y

Speed of the river = 5km/hr

Distance = Speed × Time

Kelli swam upstream for some distance in one hour

Swimming upstream takes a negative sign, hence:

1 hour ×( Y - 5) = Distance

Distance = Y - 5

She then swam downstream the same river for the same distance in only 6 minutes

Downstream takes a positive sign

Converting 6 minutes to hour =

60 minutes = 1 hour

6 minutes =

Cross Multiply

6/60 = 1/10 hour

Hence, Distance =

1/10 × (Y + 5)

= Y/10 + 1/2

Equating both equations we have:

Y - 5 = Y/10 + 1/2

Collect like terms

Y - Y/10 = 5 + 1/2

9Y/10 = 5 1/2

9Y/ 10 = 11/2

Cross Multiply

9Y × 2 = 10 × 11

18Y = 110

Y = 110/18

Y = 6.1111111111 km/hr

Therefore, Kelli's can swim as fast as 6.11km/hr still in the water.

4 0

3 years ago

the population of alaska is approximately 6.5 * 10^(5) people the populatio of illinois's is about 1.3 * 10^(7)people. how many

Wewaii [24]

Answer:

20 times greater

Step-by-step explanation:

Given the following

Population of alaska = 6.5 * 10^(5) people

Population of illinois's = 1.3 * 10^(7)people.

To know the number of times population of Illinois in the population of Alaska, we will take their population ratio;

Ratio = Population of illinois's /Population of alaska

Ratio = 1.3 * 10^(7)/6.5 * 10^(5)

Ratio = 0.2 * 10^7-5

Ratio = 0.2 * 10^2

Ratio = 20

Hence the population of Illinois is 20 times greater than population of alaska

8 0

3 years ago

What is the maximum value of P = 24x + 30y, given the constraints on x and y listed below? x+y (less than or equal to) 5 x-y (gr

valentina_108 [34]

Answer:

Step-by-step explanation:

We have to first find the vertices of the feasible region before we can determine the max value of P(x, y). We will graph all 4 of those inequalities in a coordinate plane and when we do that we find that the region of feasibility is bordered by the vertices (0, 0), (0, 1), (2, 3), and (5, 0). Filling each x and y value into our function will give us the max value of that function.

Obviously, when we sub in (0, 0). we get that P(x, y) = 0.

When we sub in (0, 1) we get 24(0) + 30(1) = 30.

When we sub in (2, 3) we get 24(2) + 30(3) = 138.

When we sub in (5, 0) we get 24(5) + 30(0) = 120.

Obviously, the vertex of (2, 3) maximized our function for a value of 138.

6 0

3 years ago

A rectangle has a length that is 9 feet less than four times its width. Its area is 90 square feet

kramer

Answer:

The length of rectangle is $15\ ft$