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2 years ago

Determine whether each equation represents a proportional relationship. y=2.5x y=x−4

Mathematics

2 answers:

mamaluj [8]2 years ago

4 0

Answer:

yes

Step-by-step explanation:

vodomira [7]2 years ago

4 0

Answer:

The constant of proportionality is equal to 2.5.

Step-by-step explanation:

The given equation is .

Now, let's assume y is proportional to x.

Mathematically, it can be written as,

Now, to eliminate the sign of proportionality by equal to, it is required to introduce a constant term. It can be represented as,

Now, compare the given equation with the above equation,

The above comparison concludes that the constant of proportionality is equal to 2.5.

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F(x) is a function. 5 - O A. True O B. False

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Answer:

true

Step-by-step explanation:

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Write the equation of a line perpendicular to y=3x+1and goes through the point ( 6,2) y=−13x+4 y=−13x−4 y=3x+4 y=3x−4

Korolek [52]

Answer:

$y=-\frac{1}{3}x+4$

Step-by-step explanation:

step 1

Find the slope of the perpendicular line

we know that

If two lines are perpendicular, then their slopes are opposite reciprocal

(the product of their slopes is equal to -1)

In this problem

we have

$y=3x+1$

The equation of the given line is $m=3$

the slope of the perpendicular line to the given line is

$m=-\frac{1}{3}$

step 2

Find the equation of the line in point slope form

$y-y1=m(x-x1)$

we have

$m=-\frac{1}{3}$

$(x1,y1)=(6,2)$

substitute

$y-2=-\frac{1}{3}(x-6)$

Convert to slope intercept form

$y=mx+b$

Distribute right side

$y-2=-\frac{1}{3}x+2$

$y=-\frac{1}{3}x+2+2$

$y=-\frac{1}{3}x+4$

6 0

3 years ago

Math help please (80 points)

Inga [223]

Answer:

1. x^4 -x^3 -4x^2 -3

a1 = -7.4

an = an-1 -13.8 (choice 1)

Step-by-step explanation:

f(x) = x^4 -x^2 +9

g(x) = x^3 +3x^2 +12

We are subtracting

f(x) -g(x) =x^4 -x^2 +9 - ( x^3 +3x^2 +12)

Distribute the minus sign

x^4 -x^2 +9 - x^3 -3x^2 -12

I like to line them up vertically

x^4 -x^2 +9

- x^3 -3x^2 -12

-------------------------

x^4 -x^3 -4x^2 -3

2. a1 = -7.4

To find the common difference, take term 2 and subtract term 1

-21.2 - (-7.4)

-21.2 + 7.4

-13.8

an = an-1 -13.8

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3 years ago

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