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3 years ago

The standard form for y = 3/4x -5/2

Mathematics

2 answers:

IrinaVladis [17]3 years ago

7 0

Answer:

3x - 4y = 10

Step-by-step explanation:

Subtract y from both sides, obtaining 5/2 = (3/4)x -1y. This is the standard form.

Alternatively, elim. the fractions by mult. all 3 terms by 4:

10 = 3x - 4y

statuscvo [17]3 years ago

3 0

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

we can do away with the denominators by simply multiplying both sides by the LCD of all fractions, in this case that'd be 4.

$\bf y=\cfrac{3}{4}x-\cfrac{5}{2}\implies \stackrel{\textit{multipliying both sides by }\stackrel{LCD}{4}}{4(y)=4\left( \cfrac{3}{4}x-\cfrac{5}{2} \right)}\implies 4y=3x-10 \\\\\\ -3x+4y=-10\implies \stackrel{\textit{standard form}}{3x-4y=10}$

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EXPLANATION

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Expand the parenthesis to get,

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Answer:

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A study of class attendance and grades among first-year students at a state university showed that, in general, students who mis

ratelena [41]

Answer:

the numerical value of the correlation between percent of classes attended and grade index is r = 0.4

Step-by-step explanation:

Given the data in the question;

we know that;

the coefficient of determination is r²

while the correlation coefficient is defined as r = √(r²)

The coefficient of determination tells us the percentage of the variation in y by the corresponding variation in x.

Now, given that class attendance explained 16% of the variation in grade index among the students.

coefficient of determination is r² = 16%

The correlation coefficient between percent of classes attended and grade index will be;

r = √(r²)

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Therefore, the numerical value of the correlation between percent of classes attended and grade index is r = 0.4

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3 years ago

Caden states that n^2 +3n + 2n is an equivalent expression to 6n. Why is Caden's statement incorrect?

malfutka [58]

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Thus, options A and D hold, from the simplifications above.

Let's consider the validity of the remaining options provided.

$\begin{gathered} \text{For option B)} \\ \text{substitute for n=1 into the expression n}^2+3n+2n,\text{ we have} \\ 1^2+3(1)+2(1)=1+3+2=6 \\ \text{substitute for n=1 into the expression 6n, we have} \\ 6(1)=6 \\ \text{Thus, the expression n}^2+3n+2n\text{ is equivalent to 6n, for n=1} \end{gathered}$ $\begin{gathered} \text{For option C)} \\ \text{The expression n}^2+3n+2n\text{ does not simplify to 7n} \end{gathered}$ $\begin{gathered} \text{For option E)} \\ \text{substitute for n=4 into the expression n}^2+3n+2n,\text{ we have:} \\ 4^2+3(4)+2(4)=16+12+8=36 \\ \text{substitute for n=6 into the expression 6n, we have:} \\ 6(4)=24 \\ \text{Thus, the two(2) expressions are not equivalent to each other, for n=4} \end{gathered}$ $\begin{gathered} \text{For option F)} \\ \text{substitute for n=3 into the expression n}^2+3n+2n,\text{ we have:} \\ 3^2+3(3)+2(3)=9+9+6=24 \\ \text{substitute for n=3 into the expression 6n, we have:} \\ 6(3)=18 \\ \text{Thus, the two(2) expressions are not equivalent to each other, for n=3} \end{gathered}$

Hence, the correct options that apply are options A, D, E and F

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1 year ago