Please classify the following equations as parallel, perpendicular, intersecting, or coinciding (same line):

y = 3x + 2

9x - 3y = -6

Answer:

1) See below for table.

2) Domain: [tex]\{1, 2, 3, 4\}[/tex]

Range: [tex]\{160, 160, 205, 250\}[/tex]

Yes, this is a function.

Step-by-step explanation:

We know that the electrician charges a base fee of $70 plus $45 for each hour of work.

We also know that the minimum the electrician charges is $160.

Let's write an equation. Let x denote the number of hours worked and y denote the total price. There's also a base fee of $70. So, we can write the following equation:

[tex]y=45x+75[/tex]

Part 1)

Let's create our table for 1, 2, 3, and 4 hours. To do so, we simply need to substitute each value for x in our equation.

1 Hour:

We have:

[tex]y_1=45(1)+70[/tex]

Multiply and add:

[tex]y_1=45+70=\$115[/tex]

However, notice that the minimum the electrician charges is $160. Therefore, for one hour of work, the electrician will still charge $160. So:

[tex]y_1=\$160[/tex]

2 Hours:

Substitute 2 for x:

[tex]y_2=45(2)+70=90+70=\$160\\[/tex]

So:

[tex]y_2=\$160[/tex]

3 Hours:

Substitute 3 for x:

[tex]y_3=45(3)+70=135+70=\$205[/tex]

So:

[tex]y_3=\$205[/tex]

4 Hours:

Substitute 4 for x:

[tex]y_4=45(4)+70=180+70=\$250[/tex]

So:

[tex]y_4=\$ 250[/tex]

Therefore, for 1, 2, 3, and 4 hours of work, the prices will be $160, $160, $205, and $250, respectively.

We can create the following table (please scroll down to see the table. Also, y is measured in dollars).

Part 2)

The domain of a relation are the input values.

In this context, our input values are the amount of hours worked, and we calculated for 1, 2, 3, and 4 hours of work.

Therefore, our domain in this context is:

[tex]\{1, 2, 3, 4\}[/tex]

The range of a relation are the output values.

In this context, the output values are the price for x hours of work.

Therefore, our range in this context is:

[tex]\{160, 160, 205, 250\}[/tex]

This relation does represent a function. Remember that a function cannot have repeating input values. In other words, no one input can be equal to two or more different outputs. However, one output can be mapped to two or more different inputs.

For our table, none of the inputs are repeating. So, our relation is a function.

And we're done!

Day: 4

Hour: 96

Days Hours

1 Day 24 Hours

2 Days 48 Hours

3 Days 72 Hours

4 Days 96 Hours

Answer:

96 hours

Step-by-step explanation:

each day has 24 hours in one day. If you are trying to find the number of hours in a set number of days, you multiply the number of days by 24.

Answer:

600 minus 28 w less-than-or-equal-to 300

Step-by-step explanation:

Answer:

600 minus 28 w less-than-or-equal-to 300

Step-by-step explanation

Answer:

x=-37

Step-by-step explanation:

-243-90-9x=0

or,-333=9x

x=-37

your ans plezz..... mark brainliest

Answer:

5-1=4 and 5+4=9

Step-by-step explanation:

[tex]\huge\red{ƛƝƧƜЄƦ}[/tex]

System of Linear Equations entered :

[1] x - y = 4

[2] x + y = 9

Graphic Representation of the Equations :

y + x = 4 y + x = 9

Solve by Substitution :

// Solve equation [2] for the variable y

[2] y = -x + 9

// Plug this in for variable y in equation [1]

[1] x - (-x +9) = 4

[1] 2x = 13

// Solve equation [1] for the variable x

[1] 2x = 13

[1] x = 13/2

// By now we know this much :

x = 13/2 y = -x+9

// Use the x value to solve for y

y = -(13/2)+9 = 5/2

Solution :

{x,y} = {13/2,5/2}

Answer:

251 = 139 < 233a

I hope that this is correct and that it helps you

Answer:

b The amount of packing materials needed is a function of the size

of the box

Step-by-step explanation:

The amount of packing materials needed is a function of the size

of the box

Answer:H=191.2

Step-by-step explanation:

H=2.9(39)+78.1

H=113.1+78.1

H=191.2 cm

Answer:

15/2 would be the simplified answer

Step-by-step explanation:

Answer:

15/2

(Decimal: 7.5)

Step-by-step explanation:

Answer:

-15

Step-by-step explanation:

g(f(-4))=g(4(-4)-5)=g(-21)

g(-21)=-21+6=-15

Answer:

2.5

Step-by-step explanation:

Answer:

2.50

Step-by-step explanation:

the tenths place is right after the ones place and before the hundreths place.

in 2.52, 5 is in the tenth's place. It's value is 5/10. The number in the hundreths place is 2, 2 is less than 5 so we round down. 2.52 becomes 2.50

Answer:

4 1/2 días.

Step-by-step explanation:

En la pregunta se nos dice que:

4 cachorros terminarán un paquete de croquetas en 6 días, si tuviéramos 3 cachorros, ¿cuántos días duraría el paquete?

4 cachorros = 6 días

3 cachorros = y días

Cruz multiplicar

4 cachorros × y = 3 cachorros × 6 días

y = 3 cachorros × 6 días / 4 cachorros

y = 18/4

y = 4 2/4

y = 4 1/2 días

Por lo tanto, el paquete de croquetas para 3 cachorros tendrá una duración de 4 1/2 días.

If Hank has the choice of taking out a 30-year loan for $165,000 at 9.1% interest. The amount that the monthly payment for the 20-year loan is more than the monthly payment for the 30-year loan is: B. $155.66.

For 30-year loan

P= principal = $165,000

r = Rate = 9.1% /12 = 0.00758

n = Number of months= 30years × 12 months = 360

So,

Monthly payment = 165,000×0.00758 × ( 1+0.00758)^360 / (1+0.00758)^360 -1

Monthly payment = 165,000×0.00758 × ( 1.00758)^360 / (1.00758)^360 -1

Monthly payment = 18,957.7574/14.15771760

Monthly payment = $1,339.04

For 20-year loan

P= principal = $165,000

r = Rate = 9.1% /12 = 0.00758

n = Number of months= 20years × 12 months = 240

So,

Monthly payment = 165,000×0.00758 × ( 1+0.00758)^240 / (1+0.00758)^240 -1

Monthly payment = 165,000×0.00758 × ( 1.00758)^240 / (1.00758)^240 -1

Monthly payment = 7,660.239666/5.12476186615

Monthly payment = $1,494.7

Difference = $1,339.04 - $1,494.7

Difference = $155.66

Therefore the correct option is B.

Learn more about monthly payment here:https://brainly.com/question/12530214

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Integers, whole numbers and natural numbers are numbers without decimal points.

The set of number that are integer but not whole or natural number is:

[tex]\{-2, -3, -4\}[/tex]

As stated above that three set of numbers do not contain decimal point;

However, the difference between them is that; a negative number without a decimal point is referred to as an integer

From the given set: only [tex]\{-2, -3, -4\}[/tex] fit into the description of an integer, because

Read more about set of numbers at:

https://brainly.com/question/4735895

Answer:

x = 2

Step-by-step explanation:

4x - 1 = -x + 9

add x to both sides.

4x + x - 1 = 9

add 1 to both sides

4x + x = 9 + 1

5x = 10

x = 2

Answer:

[tex]\boxed {x = 2}[/tex]

Step-by-step explanation:

Solve for the value of [tex]x[/tex]:

[tex]4x - 1 = -x + 9[/tex]

-Take [tex]x[/tex] and add it to [tex]4x[/tex]:

[tex]4x - 1 + x = -x + x + 9[/tex]

[tex]5x - 1 = 9[/tex]

-Add [tex]1[/tex] to both sides:

[tex]5x - 1 + 1 = 9 + 1[/tex]

[tex]5x = 10[/tex]

-Divide both sides by [tex]5[/tex]:

[tex]\frac{5x}{5} = \frac{10}{5}[/tex]

[tex]\boxed {x = 2}[/tex]

Therefore, the value of [tex]x[/tex] is [tex]2[/tex].

Answer:

it right

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

Answer:

both points and rotational only

Answer:

I would say point and rotational symmetry SUPER MEGA sorry if im wrong

Answer:

2

Step-by-step explanation:

substitute 0 for n:

3(0)+2

=2

Answer:

2

Step-by-step explanation:

Answer:

Plz check in step by step

Step-by-step explanation: Hong Kong Island is the second-largest island of the territory, the largest being Lantau Island. Its area is 78.59 km2 (30.34 sq mi), including 6.98 km2 (2.69 sq mi) of land reclaimed since 1887 and some smaller scale ones since 1851.

Answer:

72 grams of tea leaves.

Step-by-step explanation:

288/24=12

12*6=72

Answer:

Step-by-step explanation:

9 = - 7w + 12w - 6

by transposing,

9 + 6 = -7w + 12w

15 = 5w

w = 15 / 5

w = 3

Hope this helps

plz mark as brainliest!!!!!!

Answer:

[tex]w=3[/tex]

Step-by-step explanation:

[tex]9 = -7w + 12w -6[/tex]

Start by combining like terms ([tex]-7w+12w[/tex]):

[tex]9=5w-6[/tex]

Add [tex]6[/tex] to both sides of the equation:

[tex]15=5w[/tex]

Divide both sides of the equation by the coefficient of [tex]w[/tex], which is [tex]5[/tex]:

[tex]3=w[/tex]

_

Check your work by substituting the solved value of [tex]w[/tex] ([tex]3[/tex]), into the initial equation:

[tex]9 = -7(3) + 12(3) -6[/tex]

Multiply:

[tex]9=-21+36-6[/tex]

Combine like terms:

[tex]9=9[/tex]

Since both sides of the equation are equal, our answer is correct!

Answer:

-14

Step-by-step explanation:

y + 11 = -2(x + 1.5)

y = -2(x + 1.5) - 11

y = -2x - 3 - 11

y = -2x - 14

Answer:

for the y-intercept, i got -14

Step-by-step explanation:

Answer:

V = 12 in^3

Step-by-step explanation:

A = 1×2×2

A = 4 in^3

B = 4×2×1

B = 8 in^3

V = 12 in^3