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3 years ago

What is y+5x=6; x= -1,0,1

1 answer:

3 0

Y + 5x = 6

y + 5(-1) = 6
y + (-5) = 6
y - 5 = 6
y - 5 (+5) = 6 (+5)
y = 11
when x = - 1, y = 11

y + 5(0) = 6
y + 0 = 6
y + 0 (-0) = 6 (-0)
y = 6
when x = 0, y = 6

y + 5(1) = 6
y + 5 = 6
y + 5 (-5) = 6 (-5)
y = 1
when x = 1, y = 1

hope this helps

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3 years ago

A score that is three standard deviations above the mean would have a z score of

tia_tia [17]

The value of z-score for a score that is three standard deviations above the mean is 3.

In this question,

A z-score measures exactly how many standard deviations a data point is above or below the mean. It allows us to calculate the probability of a score occurring within our normal distribution and enables us to compare two scores that are from different normal distributions.

Let x be the score

let μ be the mean and

let σ be the standard deviations

Now, x = μ + 3σ

The formula of z-score is

$z_{score} = \frac{x-\mu}{\sigma}$

⇒ $z_{score} = \frac{\mu + 3\sigma -\mu}{\sigma}$

⇒ $z_{score} = \frac{ 3\sigma }{\sigma}$

⇒ $z_{score} = 3$

Hence we can conclude that the value of z-score for a score that is three standard deviations above the mean is 3.

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2 years ago

the polynomial 3x+5 is divided by x+2 what is the quotient, pls be quick im taking a algebra progress check due in 25 min

il63 [147K]

Answer:

The quotient of the rational function is $3 -\frac{1}{x+2}$ .

Step-by-step explanation:

We proceed to solve the expression by solely algebraic means below:

1) $\frac{3\cdot x + 5}{x+2}$ Given

2) $\frac{(3\cdot x + 5) + 0}{x + 2}$ Modulative property

3) $\frac{(3\cdot x +5) + [1+(-1)]}{x+2}$ Existence of additive inverse/Associative property

4) $\frac{(3\cdot x + 6)+(-1)}{x+2}$ Definition of addition/Commutative and associative properties

5) $\frac{3\cdot (x+2)}{x+2} + \left(-\frac{1}{x+2} \right)$ $\frac{a+b}{c} = \frac{a}{c} + \frac{b}{c}$ / $\frac{-a}{b} = \frac{a}{-b} = -\frac{a}{b}$ /Distributive property

6) $3 -\frac{1}{x+2}$ Definition of division/Existence of multiplicative inverse/Modulative property/Definition of subtraction/Result

The quotient of the rational function is $3 -\frac{1}{x+2}$ .

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3 years ago

If the length of a side of a square is x CM its perimeter is

andreev551 [17]

Square perimeter =4x cm.

The complete length that a square's edge encompasses is referred to as its perimeter. Any enclosed geometric shape's perimeter may be computed by measuring the space around it.

By calculating the total of all the sides of a square, the perimeter may be determined. The perimeter of a square will be stated as,

The perimeter of square = s + s + s + s

⇒Perimeter of square = 4s, where "s" is the side length of the square.

This is because all edges of a square are equal and each edge measures "s" units.

<h3>Calculating the perimeter of a square:</h3>

Mathematically, the formula for calculating a square's perimeter is: Square perimeter, (P) = 4 Side

⇒P= 4x cm

It is concluded that the solution is 4x cm.

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1 year ago

What is an equation of the line that passes through the points (3,4) and (−4,−3)? Put your answer in fully reduced form

sasho [114]

Answer:

The equation of the line is y = x + 1

Step-by-step explanation:

The equation of the line is y = m x + b, where

m is the slope of the line

b is the y-intercept

The rule of the slope of the line is m = $\frac{y2-y1}{x2-x1}$ , where

(x1, y1) and (x2, y2) are two points on the line

∵ The line passes through points (3, 4) and (-4, -3)

∴ x1 = 3 and y1 = 4

∴ x2 = -4 and y = -3

→ Substitute them in the rule of the slope above to find it

∵ m = $\frac{-3-4}{-4-3}$ = $\frac{-7}{-7}$ = 1

∴ m = 1

→ Substitute it in the form of the equation above

∴ y = 1(x) + b

∴ y = x + b

→ To find b substitute x by 3 and y by 4 in the equation

∵ 4 = 3 + b

→ Subtract 3 from both sides

∵ 4 - 3 = 3 - 3 + b

∴ 1 = b

→ Substitute it in the equation

∴ y = x + 1

∴ The equation of the line is y = x + 1

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2 years ago