A square park has an area of 120 m2

Mathematics

1 answer:

rosijanka [135]2 years ago

6 0

Answer:

The dimensions of the Park is120m2

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3 years ago

A collection of nickels and dimes is worth $6.10. There are 67 coins in all. how many nickels are there?

Dmitrij [34]

Question 1:

For this case, the first thing we must do is define variables.
We have then:
x: number of nickels
y: number of dimes
We write the system of equations that adapts to the problem.
We have then:
0.05x + 0.10y = 6.10
x + y = 67
Solving the system we have:
x = 12
y = 55
Answer:
there are 12 nickels

Question 2:

For this case, the first thing we must do is define variables.
We have then:
x: Allan's score
y: Dave's score
We write the system of equations that adapts to the problem.
We have then:
x + y = 375
x = 2y-60
Solving the system we have:
x = 230
y = 145
Answer:
Dave: 145 Allan: 230

7 0

3 years ago

A function of the form f(x)=ab^x is modified so that the b value remains the same but the a value is increased by 2. How do the

ANEK [815]

Answer:

The domain and range remain the same.

Step-by-step explanation:

Hi there!

First, we must determine what increasing a by 2 really does to the exponential function.

In f(x)=ab^x, a represents the initial value (y-intercept) of the function while b represents the common ratio for each consecutive value of f(x).

Increasing a by 2 means moving the y-intercept of the function up by 2. If the original function contained the point (0,x), the new function would contain the point (0,x+2).

The domain remains the same; it is still the set of all real x-values. This is true for any exponential function, regardless of any transformations.

The range remains the same as well; for the original function, it would have been $y\neq 0$ . Because increasing a by 2 does not move the entire function up or down, the range remains the same.