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tamaranim1 [39]
3 years ago
9

Use the information given to enter an equation in standard form.

Mathematics
1 answer:
wariber [46]3 years ago
8 0

keeping in mind that standard form for a linear equation means

• all coefficients must be integers, no fractions

• only the constant on the right-hand-side

• all variables on the left-hand-side, sorted

• "x" must not have a negative coefficient

\bf (\stackrel{x_1}{3}~,~\stackrel{y_1}{4})~\hspace{10em} \stackrel{slope}{m}\implies 6 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{4}=\stackrel{m}{6}(x-\stackrel{x_1}{3})\implies y-4=6x-18 \\\\\\ y=6x-14\implies -6x+y=-14\implies 6x-y=14

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4 years ago
Arial says that, for any pair of linear relations, if the coefficients of the y-terms are equal and the coefficients of the x-te
wel

Answer:

<h3>a. Give an example for which Arial's claim is true.</h3>

If linear relations have equal coefficient about the independent variable, then those linear relations are parallel. For example, y=3x+4 and y=3x-5.

Notice that the coefficient of the dependent variable must be also equal, otherwise it would change the slope of the expression and they wouldn't be parallel.

<h3>b. Give an example for which Arial's claim is false. </h3>

The statement is not false.

<h3>c. Suggest an improvement to Arial's claim.</h3>

An improvemente would be that the constant term no need to be equal too, between linear relations, because they can be at "differecent heights", sort of speak.

4 0
4 years ago
Solve p^2 +4p =1 Please show how to do it as well (worth 5 points)
damaskus [11]

Answer:

The answer of your question is:

Step-by-step explanation:

Solve                                 p²  +  4p   = 1

                                         p² + 4p  + (2)² = 1  + (2)²

                                         (p + 2)² = 1 + 4

                                         (p + 2)² = 5

                                         (p + 2) = ±√5

                                       

               p1 + 2 = √5                                        p2 + 2 = -√5

               p1 = √5 - 2                                         p2 = -√5 + 2

              p1 = 0.23                                            p2 = -0.23

                                         

8 0
4 years ago
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Blueberry high-fiber muffins contain 51 % dietary fiber by mass. If a package with a net weight of 18 oz contains six muffins, h
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Answer:

In each muffin there are 1.53oz

Step-by-step explanation:

The first step is to get the weight of just one muffin. If the package contains six muffins we must divide the total weight by six.

weight_{unit}=\frac{18oz}{6}=3oz

The weight of just one muffin is 3oz.

Now, the problem says that blueberry high-fiber muffins contain 51 % dietary fiber by mass, which means that we must calculate the 51% of 3oz. We must take into account that 51% equals 51/100 which is 0.51. The equation would be:

fiber=(3oz)(0.51)=1.53oz

Finally, in each muffin there are 1.53oz of fiber.

6 0
4 years ago
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