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3 years ago

The table represents a linear function. What is the slope of the function?

Mathematics

1 answer:

Evgesh-ka [11]3 years ago

8 0

Using the equation of a straight line, which states:

y = mx + b
where,
m represents the slope
y represents the y-intercept.

Therefore,
To find the slope,
we would select any of the two coordinate points and find the slope.
To calculate the slope of a line you need only two points from the table;

(x₁, y₁) and (x₂, y₂)

x₁ = - 4
x₂ = - 2
And,
y₁ = -2
y₂ = - 10

m = (y₁ - y₂) ÷ (x₁ - x₂)

Substituting the values,

m = (-2 + 10) ÷ (-4 + 2)

m = 8 ÷ (-2)

m = -4 is the required slope.

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The following examples illustrate the associative property of multiplication.

kati45 [8]

Answer:

A) a • (b • c) = (a • b) • c

Step-by-step explanation:

The associative property of multiplication (or addition) shows that the order the numbers are multiplied it irrelevant, more specifically in the manners of parentheses.

So, the answer is A, which can also be seen in that substituting a as 5, b as 3, and c as 6 gives us the first example.

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2 years ago

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Please Help!!!

myrzilka [38]

Answer:

A. principal interviewed the 25 students who scored highest on a reading test.

D. For a report on the exercise habits of adults, Sergio talked to 30 adults at a local fitness center.

E. Josh asked the first 25 people he met at the dog park if they preferred dogs or cats.

Step-by-step explanation:

Biased means if the selection of every unit does not have an equal chance of being selected in a sample.

The sample is said to be good if choosing the unit is unbiased. The sample is said to be unbiased if the selection of each unit is independent.

Option A is an example of data selected in a biased way because principal chose only those student who scored the highest marks on reading test.

Options B and C are unbiased as here a selection of each number and name of the student has an equal chance of being selected.

Option D is biased because Sergio talked adults at a local fitness center where people go for maintaining their health. So, there is a chance of the selection of fitted adults more than unfitted adults.

Option E is biased because Josh met people at the dog park where dog lovers are more than a cat lover.

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3 years ago

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What is the slope of the line? A. 2 B. -2 C. 1/2 D. -1/2

iogann1982 [59]

slope m = - 2 → B

calculate m using the ' gradient formula '

m = (y₂ - y₁)/(x₂ - x₁)

choosing 2 'clear ' coordinates from the graph of the line

(x₁, y₁) = (0, 7) and (x₂, y₂) = (7, - 5 $\frac{(- 5 - 7)}{(6 - 0)}$ ) = $\frac{- 12}{6}$ = - 2

m =

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3 years ago

A study of king penguins looked for a relationship between how deep the penguins dive to seek food and how long they stay underw

Serggg [28]

Answer:

$b = 0.0138$

Step-by-step explanation:

Given

Regression Equation:

$DD=2.69+0.0138D$

Required

Determine the slope of the regression line

The equation of regression is of the form

$Y = a + bX$

Where b represents the slope;

Compare $Y = a + bX$ to the given equation

$DD=2.69+0.0138D$

We have that:

$Y = DD$

$a = 2.69$

$b = 0.0138$

$X = D$

Hence; the slope is:

$b = 0.0138$

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3 years ago

Write an exponential function in the form of y=ab^x passing through the points (0,6) and (2,96)

taurus [48]

Here you have an equation with two unknown constants, a and b, plus 2 sets of points through which the graph goes.

Second point: 96 = a(b)^2
First point: 6 = a(b)^0 Then a = 6.

With a = 6, we can now write: 96 = 6b^2. Then b^2 = 16, and b=4.

Then y =6(4)^x (answer)

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3 years ago