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Juliette [100K]
3 years ago
11

Below are two different functions, f(x) and g(x). What can be determined about their slopes?

Mathematics
2 answers:
FromTheMoon [43]3 years ago
7 0

Answer:

C. They both have the same slope.

Step-by-step explanation:

We have the function f(x) = 3x-3.

Substituting values of x in above f(x), we get the pair of points (0,-3) and (1,0).

Now, we will find the slope m of this function using,

m = \frac{y_{2} -y_{1} }{x_{2}- x_{1} }

i.e. m = \frac{0 - (-3)}{1-0}

i.e. m = 3.

Now, we are given that the function g(x) passes through the points (0,2) and (1,5).

We will find the slope of g(x) also by using the formula above,

i.e. m = \frac{5 - 2}{1-0}

i.e. m = 3.

Hence, we can see that both f(x) and g(x) have slope 3.

So, they both have same slope.

Zina [86]3 years ago
4 0
Let's find the slope of the line through (0,2) and (1,5)

m = (y2 - y1)/(x2 - x1)
m = (5-2)/(1-0)
m = 3/1
m = 3

So the slope of g(x) is 3. The slope of f(x) is also 3. The two functions have the same slope.
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A circle has an area of 30 in^2. What is the area of a 60 sector of this circle?
yuradex [85]

We use the ratio x:360 to find portions of the circle (again, through the ratio)

so we use 60/360 = x/30 in^2

1/6 = x/ 30

x = 5.

The answer is 5 in^2

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3 years ago
19 books on a shelf. 8 of these books are new. The rest of them are used. What is the ratio of new books to used books
harkovskaia [24]

Answer:

1:8

Step-by-step explanation:

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Step-by-step explanation:

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2 years ago
What is NOT a function of a wetland?
natulia [17]

Answer:

the answer is controls floods

8 0
2 years ago
The Airline Passenger Association studied the relationship between the number of passengers on a particular flight and the cost
guajiro [1.7K]

Answer:

1) Reject null hypothesis if t > 3.143

2) t = 2.008

Step-by-step explanation:

We are given the following in the question:

Sample size, n = 8

Correlation, r = 0.634

Significance level = 0.01

First we design the null and the alternate hypothesis:

H_{0}: \rho \leq 0\\H_A: \rho > 0

This is a one tailed test.

1) Decision rule

Degree of freedom  = n - 2 = 6

t_{critical} \text{ at 0.01 level of significance, 6 degree of freedom } = 3.143

So if the calculated test statistic is greater than 3.143, we fail to accept the null hypothesis and reject it.

2) Test statistic

t_{stat} = \dfrac{r\sqrt{n-2}}{\sqrt{1-r^2}}\\\\t_{stat} = \dfrac{(0.634)\sqrt{8-2}}{\sqrt{1-(0.634)^2}}\\\\t_{stat} = 2.008

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3 years ago
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Answer:

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Step-by-step explanation:

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