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olya-2409 [2.1K]
3 years ago
6

This summer, the Harris family wants to go to San Diego, California. They estimate that their destination is about 658 miles fro

m their house. If they drive 75 miles to the total distance to sight see, about how long should it take them to get to their destination? each hour and they add another 34
Mathematics
1 answer:
Over [174]3 years ago
4 0
A little more than 8 days. If you divide 658 by 75 you should get the exact answer
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Use the graph that shows the solution to
Luda [366]

Answer:

The solution for f(x) = g(x) are;

x = 1 and x = -1

Step-by-step explanation:

The given equations for the functions, g(x) are;

f(x) = \dfrac{1 + 2\cdot x}{x}

g(x) = 2 + x

The solution for f(x) = g(x), is given by equating the equations of the two functions as follows;

When f(x) = g(x), we have;

\dfrac{1 + 2\cdot x}{x} = 2 + x

By cross multiplication, we have;

1 + 2·x = x × (2 + x) = 2·x + x²

∴ x² + 2·x - 2·x - 1 = 0

x² - 1 = 0

(x - 1)·(x + 1) = 0

x = 1, or x = -1

f(x) = g(x) = 2 + 1 = 3, or 2 - 1 = 1

Therefore, the solution for f(x) = g(x) are;

f(x) = g(x) = 3 or 1 where x = 1 and x = -1.

6 0
3 years ago
3 Which of the following represents a function? A {(-2, 1), (-2, 0), (-2, 1), (-2, 2)} B {(-1,0), (0, 1), (1, 2), (2, 3)} C {(1,
solong [7]

Answer:

A

Step-by-step explanation:

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Make a table of values for the function rule. then graph the function. y=-x²+4​
lakkis [162]

Answer:

check the attached picture

Step-by-step explanation:

Given function is y=-x^2+4.

Now we need to make a table of values for the function rule then graph the function.

We are free to plug any values of x like -3,-2,-1,0,1,2,3,... etc becaues domain of polynomial function is all real numbers.

Let's plug x=1 into given function to find the y-value

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y=-(1)^2+4

y=-1+4

y=3

Hence the first point is (1,3).

Same way we can find few more points to complete the table then graph those points and connect them to get the final graph.

x y

-2 8

-1 5

0 4

1 5

2 8

5 0
4 years ago
Given the following system of equations, what is the value of the y-coordinate of the solution?
Alina [70]

9/4 is the answer if you have any questions please let me know

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3 years ago
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Dahasolnce [82]
The domain of G is 4 and the range of G is 9 (domain=x, range=y :))
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