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Anna11 [10]
3 years ago
15

The population of two different cities are modeled by the equations shown below. The population (in thousands) is represented by

Y in the number of years since 1970 is represented by X. What year(s) did the cities have the same population? What was the population of both cities during the year(s) of equal population?
Mathematics
1 answer:
lesya [120]3 years ago
7 0

Answer: years of equal population are 1995 and 2022.

in 1995, population was 425,000 people and in 2022, population was 1,910,000 people.

Step-by-step explanation: Baskinville: y = x2 - 22x + 350

Cryersport: y = 55x - 950

Note that x2 is xsquare not x2

Resolving the quadratic equations carefully will give the values of y and x which represent the population and years.

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The answer should be (exact number- 93/10) (decimal form- 9.3) (mixed number- 9 3/10)
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What is the measure of x?
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The measure of x is 24 degrees
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4 0
2 years ago
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adam prepares a meal of shrimp and brown rice. it must contain exactly 6 g of fat and 10 mg of iron. each 5oz serving of shrimp
jasenka [17]

Answer:

Adam needs 9/8 of a 5oz serving of shrimps (which equals to 5.625 oz) and 5/8 of a cup of brown rice (which is around 10 tablespoons).


Explanation:

You are given:

every serving of shrimp contains 2g of fat and 5mg of iron;

every serving of rice contains 6g of fat and 7mg of iron;

each meal should have 6g of total fat and 10mg of total iron.


You need to set a system of equation: let's call

s = quantity of shrimps

r = quantity of rice

The equation for the total fat will be: the quantity of fat in the serving of shrimps plus the quantity of fat in the serving of rice must be equal to 6g

2s + 6r = 6    (1)

Similarily:

the quantity of iron in the serving of shrimps plus the quantity of iron in the serving of rice must be equal to 10g

5s + 7r = 10     (2)


In order to solve the system, solve for s in equation (1):

s = (6-6r)/2 = 3 - 3r        (3)

Substitute in equation (2):

5(3 - 3r) + 7r = 10

and solve for r:

15 - 15r + 7r = 10

8r = 5

r = 5/8

Substitute the value of r in equation (3):

s = 3 - 3×5/8 = 9/8


Therefore Adam would need 9/8 of a 5oz serving of shrimps and 5/8 of a 1 cup of brown rice for each meal.

6 0
2 years ago
Use the data in the table to answer the question. Citations are "speeding tickets." You may fill in the table to help you answer
Vikentia [17]

Answer:

Linear approximation is given by: y = \frac{x}{5}+2

Step-by-step explanation:

We are given the following information in the question:

Number of citations:      5      7.5      10      15       20

 Outputs Residuals:       3       6       10       5          6

We have to find the linear approximation of the data that passes through the points (5, 3) and (20, 6).

Linear approximation is given by:

The equation of line is given by:

(y-y_1) = \displaystyle\frac{y_2-y_2}{x_2-x_1}(x-x_1)

where, (x_1,y_1), (x_2.y_2) is the point through which the line passes.

The equation of line is:

(y-3) = \displaystyle\frac{6-3}{20-5}(x-5)\\\\15(y-3)= 3(x-5)\\15y = 3x-15+45\\15y = 3x + 30\\y = \frac{x}{5}+2

The above equation is the required linear approximation.

8 0
3 years ago
W+(-4)=37<br> what is the w
alexdok [17]
W=41 hope that helps!
3 0
2 years ago
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