Write a linear function given in the table below. Use function notation.

Answer:

Step-by-step explanation: Expressions that simplify to the same equations are called Linear equations.It can simplify the same equation.

Step-by-step explanation:

Answer:

y = [tex]\frac{3}{5}[/tex] x - 2

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Given

5x + 3y = 15 ( subtract 5x from both sides )

3y = - 5x + 15 ( divide all terms by 3 )

y = - [tex]\frac{5}{3}[/tex] x + 5 ← in slope- intercept form

with slope m = - [tex]\frac{5}{3}[/tex]

Given a line with slope m then the slope of a line perpendicular to it is

[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{-\frac{5}{3} }[/tex] = [tex]\frac{3}{5}[/tex] , thus

y = [tex]\frac{3}{5}[/tex] x + c ← is the partial equation

To find c substitute (5, 1) into the partial equation

1 = 3 + c ⇒ c = 1 - 3 = - 2

y = [tex]\frac{3}{5}[/tex] x - 2 ← equation of perpendicular line

Here, we are required to Write an equation of the line passing through the point (5, 1) that is perpendicular to the line 5x+3y=15.

The equation of the line is; 3x - 5y = 10.

By comparison with the equation of a straight line: y = Mx + c

The equation 5x+3y=15 can be rewritten as ;

y = (-5/3)x + 5

Therefore, the slope of the equation is; (-5/3)

The product of the slope of two perpendicular lines is: -1.

therefore m1m2 = -1

Therefore; M2 = -1/(-5/3)

Therefore M2 = 3/5

The equation of the line passing through the point (5, 1) that has slope, M2 = 3/5 is;

3/5 = (y - 1)/(x - 5)

By Cross product;

3x - 15 = 5y -5

Therefore, the equation of the line is;

3x - 5y = 10.

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Answer:  [tex]\{y | \ y \in \mathbb{R}, \ y \ge 0\}[/tex]

This translates to "y is any real number such that it is 0 or larger".

The reasoning is that the result of any absolute value function is either 0 or positive. In other words, we'll never get a negative result of an absolute value function. This is due to how absolute value represents distance. Negative distance does not make sense.

So if y = |x-3| then y = 0 is the smallest output possible. We could have any positive output we want.

In terms of a graph (see below), the V shape is at the lowest point (3,0). The y coordinate is all we care about in terms of finding the range. So we see the lowest y value is y = 0.

Answer:

d = 10

Step-by-step explanation:

[tex]d= \sqrt{(x_2-x_1)^2+(y_2-y_1)^2} \\d= \sqrt{(8-8)^2+(5.3-(-4.7))^2} \\d= \sqrt{(0)^2+(10)^2} \\d= \sqrt{0+100} \\d= \sqrt{100}\\ d= 10[/tex]

Answer:

To find the mean absolute deviation of the data, start by finding the mean of the data set

Answer:

120% increase

Step-by-step explanation:

Answer:

Since the exponent of the scientific notation is negative, move the decimal point 3 places to the left.

0.003409

6(3x+5)

6*3x=18x

6*5=30

18x+30 is your answer! I hope this helped! :)

the answer is it is function

Answer:

(-4, -0.5)

Step-by-step explanation:

According to the graph ,

[tex](-5 , -4) =(x_1,y_1)\\(-3 , 3)=(x_2,y_2)[/tex]

Sorry for the bad handwriting

Workings are in the picture

Answer:

1.3

Step-by-step explanation:

Answer:

[tex]y = mx + b[/tex]

[tex]y = 3x - \frac{1}{2} x {}^{2} + 11[/tex]

PLEASE MARK AS BRAINLIEST

Answer:

18

-9

30

Step-by-step explanation:

did on edge :)

Answer:

Evaluate the following numerical expressions.

6 + 3 • 4 =  18

(6 + 3) ÷ (4 – 5) = -9

6 + 23 • 3 = 30

Step-by-step explanation:

i took the test

Answer:

1st 2nd and 4th option are correct

Answer:

B

Step-by-step explanation:

C is wrong because -11 + 4 is -7

E is wrong because you can't change the negative sign just for one value on one equation

Answer:

5

Step-by-step explanation:

Replace variables with integers

(-2) - (-7)

Solve.

-2 - (-7) --> -2 + 7 --> 5

Answer:

a)

1/4 : a = 1/10

1/4 = a*1/10

(1/4) : (1/10) = a

(1*10):(4*1) = a

10/4 = a

entonces:

1/4 : 10/4 = 1/10

respuesta:

en el recuadro va:

10/4 o su equivalente 2/5

b)

3/7 : a = 9

(3/7) : 9 = a

3 : (7*9) = a

3 / 63 = a

entonces:

(3/7) : (3/63) = 9

(3*63) : (7*3) = 9

63 : 7 = 9

entonces, en el recuadro va:

3/63 o su equivalente 1/21

c

a : (1/2) = 5/2

a = (5/2) * (1/2)

a = (5*1) / (2*2)

a = 5/4

entonces:

(5/4) : (1/2) = 5/2

(5*2) : (4*1) = 10/4 = 5/2

entonces, en el recuadro va:

5/4

d

a : (1/2) = 2/5

a = (2/5) * (1/2)

a = (2*1) / (5*2)

a = 1/5

entonces:

(1/5) : (1/2) = 2/5

(1*2) / (5*1) = 2/5

Answer:

P=9.0h

Step-by-step explanation:

Divide the Paid amount by the hours worked and you'll get how much money she gained every hour which is 8.50$ And the question is telling you which of the following equations is GREATER than the amount she got paid per hour. So the answer would be P=9.0h

The required equation represents an hourly pay rate that is greater than Hillary's hourly pay rate p = 9.0h. Option D is correct.

Given,

Hillary’s summer job at the frozen yogurt shop paid her the amounts shown in the table below in her first three days on the job (she got paid the same hourly rate every day).
                    day  =       1            2        3
Hours worked(h) =       5           4        6
Amount paid (p)  =   $42.50   $34     $51

The slope of the line is the tangent angle made by line with horizontal. i.e. m = tanx where x in degrees.

The slope of the data given,
m = 42.5/5

m = 8.5
the slope shows the hourly rate to get paid.
Required expression is
p = 8.5h

From the option, the slope of equations needs to compare greater the slope greater will the hourly rate.
Slope of equation A = 1/8, B =8, C = 8.5 and D = 9.0
hence, only slope D has a greater value by the existing slope of 8.5

Thus, the required equation that represents an hourly pay rate that is greater than Hillary's hourly pay rate p = 9.0h.

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Question is incomplete, correct question has added below.

Answer:

A. x(x + 7)²

Step-by-step explanation:

Step 1: Write out polynomial

x³ + 14x² + 49

Step 2: Factor out x

x(x² + 14x + 49)

Step 3: Factor out quadratic

x(x + 7)²

Answer:

½, √0.28, 0.58

Step-by-step explanation:

you need to first change everything into decimals so, ½ = 0.5 , √ 0.28 = 0.53 and 0.58 remains the same. Now you can arrange them from least to greatest once they are in a common form.

Answer:

Los números son:

43 y 165

Step-by-step explanation:

Planteamiento:

a + b = 208

a - b = 122

Desarrollo:

de la segunda ecuación del planteamiento:

a = 122 + b

sustituyendo este último valor en la primer ecuación del planteamiento:

(122+b) + b = 208

2b = 208 - 122

2b = 86

b = 86/2

b = 43

a = 122 + b

a = 122 + 43

a = 165

Comprobación:

165 + 43 = 208

165 - 43 = 122

Answer:

6.35

Explanation:

7 divided by 20 is 0.35+6= 6.35