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vodka [1.7K]
3 years ago
12

Calculate the slope of the points (-2, -1) and (3, 4). Show all of your work.

Mathematics
2 answers:
olchik [2.2K]3 years ago
8 0
The slope is found using the formula;
=\frac{change in y}{change in x}
=\frac{4--1}{3--2}
=\frac{5}{5}
=1
puteri [66]3 years ago
4 0
m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}} = \frac{4 - (-1)}{3 - (-2)} = \frac{4 + 1}{3 + 2} = \frac{5}{5} = 1

y - y₁ = m(x - x₁)
 y - 4 = 1(x - 3)
 y - 4 = 1(x) - 1(3)
 y - 4 = x - 3
   + 4      + 4
      y = x + 1
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When3/11 is written as a decimal, how many digits are in the smallest sequence of repeating digits?
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Which set of transformations is needed to graph f(x) = -0.1cos(x) - 4 from the parent cosine function?
Ostrovityanka [42]

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The correct option is;

Reflection across the x-axis, vertical compression by a factor of 0.1, vertical translation 4 units down

Step-by-step explanation:

The given function is f(x) = -0.1·cos(x) - 4

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Therefore, f(x) = -0.1·cos(x) - 4 can be obtained from the parent cosine function as follows;

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If the sales tax rate is 5% in Texas, then how much sales tax would you pay in Houston for a $52 bag of dog food?
Alekssandra [29.7K]

The cost of the sales tax in Houston is $ 2.60 and the total cost of bag of dog food is $ 54.60

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

The sales tax percentage in Texas = 5 %

                                                          = 5 / 100

                                                          = 0.05

The cost of 1 bag of dog food in Houston = $ 52

Now ,

The sales tax cost is calculated by the equation ,

The sales tax cost =
Sales tax percentage in Texas x cost of 1 bag of dog food in Houston

The sales tax cost = $ 52 x 0.05

                              = $ 2.60

And , the total cost of 1 bag of dog food = cost of 1 bag of dog food in Houston + sales tax cost

Total cost of 1 bag of dog food = $ 52 + $ 2.60

                                                   = $ 54.60

Therefore , the sales tax cost is $ 2.60

Hence , the sales tax cost to pay in Houston is $ 2.60 and the total cost of bag of dog food is $ 54.60

To learn more about equation click :

brainly.com/question/10413253

#SPJ1

3 0
1 year ago
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