What is the solution of the system of equations?

{3x−12y=−72x+2y=1

52,54,56,58,60,62,64,66,68,70,72,74,76,78

Answer:

[tex]1/2[/tex]

Step-by-step explanation:

We are given the line:

[tex]3x-6y=18[/tex]

And we want to find the slope of the line parallel to this given line.

Remember that parallel lines have the same slope. So, if we can determine the slope of the given line, we have the slope of its parallel line.

To determine the slope of the given line, we simply have to isolate the y. So, we can first divide everything by 3. This yields:

[tex]x-2y=6[/tex]

Adding 2y to both sides yields:

[tex]x=6+2y[/tex]

And subtracting 6 from both sides yields:

[tex]x-6=2y[/tex]

Finally, dividing everything by 2 gives us:

[tex]\displaystyle y=\frac{1}{2}x-3[/tex]

Hence, the slope of our line is 1/2.

So, the slope of the line parallel to this line must also be 1/2.

The transformed function g(x) = |x + 9| - 5 has a vertex at (- 9, - 5).

We know the absolute value function of the modulus function always outputs a positive value irrespective of the sign of the input.

In piecewise terms  | x | = x for x ≥ 0 and | x | = - x for x < 0.

Given, The parent function is f(x) = |x|.

Now, The transformed function g(x) = |x + 9| - 5 is shifted x + 9 = 0 ⇒ x = - 9 units along the x-axis and - 5 units along the y-axis.

The vertex of the modulus function is at (- 9, - 5).

learn more about modulus functions here :

https://brainly.com/question/29142324

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Answer:

c>4

Step-by-step explanation:

You start off by subtracting 3 from both sides, once you do that you would have 3c>12 then divide each side by 3 and you get 4!

I hope this helps, and have a great day! :)

Answer:

BT

angle T

AT

have a good day

Answer:

B) Vertically stretched by a factor of 3, shifted to the right by 1 unit, and shifted up 2 units.

Step-by-step explanation:

The basic transformations of a rational function as shown here can be modeled by:

[tex]f(x) = \frac{a}{b(x - h)} + k[/tex]

a = vertical stretch / compression.

b = horizontal stretch / compression.

h = horizontal shift.

k = vertical shift.

If there is a negative sign by a, then it is a vertical reflection.

If there is a negative sign by b, then it is a horizontal reflection.

_____________

As seen here, the transformations of

[tex]f(x) = 2 + \frac{3}{x–1} [/tex]

There is no b value because x - 1 is completely factored or it can just be thought of as 1. a or the vertical stretch is a factor of 3 because that is the numerator of the rational expression. There is a horizontal shift of 1 unit to the right because when x is subtracted by 1 in the rational expression, the root of x - 1 by itself is 1 greater than x. Lastly, there is a vertical shift up 2 units because that means all the values of the function will increase by 2 units which moves the whole function up 2.

Answer:

x = 80°

Step-by-step explanation:

From the picture attached,

Two lines are parallel and third line (transversal) is intersecting these lines at two different points.

m(∠x) = 80° [Exterior alternate angles are equal in measure]

Therefore, x° = 80° is the answer.

Answer:

the adult tickets are 8 dollars and they kid tickets are 5 dollars bc 8+8+5+5=26 and mike's family is 8+8+5+5+5=31 hopes this help so each adult ticket is 8 dollars and each kid ticket is 5 dollars

Step-by-step explanation:

hope this helps❤️

Answer:

It is C

Step-by-step explanation:

C is true because you can make 12 per hour in the table shown

Answer: 13

Step-by-step explanation:

Answer:

the aanswer would be 3

Step-by-step explanation:

Answer:

The answer is 3

Step-by-step explanation:

Answer:

s

Step-by-step explanation:

Answer:

1 bottle: $0.40

2 bottle: $1.20

5 bottle: $2.00

Step-by-step explanation:

Answer:

Cost of one is 40 cents. Cost of three $1.20. Cost of five $2.00.

Step-by-step explanation:

Divide: 2.40 divided by 6= .4

.4 times 1=.4=.40= 40 cents

.4 times 3=1.2=1.20= $1.20

.4 times 5=2=2.00= $2.00

Hope I helped!! :)

Brainliest?!?!

Stay safe and have a good day/night/afternoon!!!

Answer:

NO, It's -39

Step-by-step explanation:

1+4(3x-10)-12x

1+12x-40-12x= -39

Answer:

500πx³y³z³

Step-by-step explanation:

Volume of a sphere = 4πr³

r is the radius of the sphere

Given

Diameter of the sphere = 10xyz mm

Radius = diameter/2

Radius = 10xyz/2

Radius = 5xyz

Substitute the radius into the formula

Volume of the sphere = 4π(5xyz)³

Volume of the sphere = = 4π(125)x³y³z³

Volume of the sphere = 500πx³y³z³

Hence the volume of the sphere is 500πx³y³z³ mm³

Answer:

x = 15

Step-by-step explanation:

If triangles are similar then they have a scale factor. That is the factor that is being multiplied to each of the sides to create a new set of sides.

We need to find the scale factor between Triangle ABC and Triangle DEF.

We can use Sides AC and DF to determine the scale factor.

It would be 27/9 = 3

So all the sides in triangle DEF are 3 times the length of those in triangle ABC

this means that the side with x cm is just 3 × 5 which is 15 cm.

HOPE YOU HAVE A NICE DAY! And hope you understood!

Step-by-step explanation:

(4x + 6) + (3x + 14) + 90= 180 sum of angles in an triangle theorem

7x + 20 = 90 Algebra

x=10 Algebra

I hope this helps!!!!

Answer:

1.12x=952

x=850L

Step-by-step explanation:

Answer:

850 L

Step-by-step explanation:

Make an equation:

1.12x = 952

Solve for x:

x = 850

Answer:

[tex]Volume = 7x^3y+48x^2y^2-7xy^3 -35x^2-240xy-35y^2[/tex]

Step-by-step explanation:

Given

Shape: Cube

Dimension: (x+7y), (7x-y) and (xy-5).​

Required

Determine the volume

The volume is calculated by multiplying the dimensions:

[tex]Volume = (x+7y) * (7x-y) * (xy-5)[/tex]

Evaluate the first 2 brackets

[tex]Volume = [x(7x-y)+7y(7x-y)] * (xy-5)[/tex]

[tex]Volume = [(7x^2-xy)+(49xy-7y^2)] * (xy-5)[/tex]

[tex]Volume = [7x^2-xy+49xy-7y^2] * (xy-5)[/tex]

[tex]Volume = [7x^2+48xy-7y^2] * (xy-5)[/tex]

Open brackets

[tex]Volume = xy[7x^2+48xy-7y^2] -5[7x^2+48xy-7y^2][/tex]

[tex]Volume = 7x^3y+48x^2y^2-7xy^3 -35x^2-240xy-35y^2[/tex]

Answer:

28%

Step-by-step explanation:

7/25 = 0.28

0.28 x 100 = 28

Answer:

28%

Step-by-step explanation:

since 25 multiplied by 4 gives exactly 100 you can multiply 7 by 4 = 28

7 out of 25 = 28%

Ace

Answer:

We can apply the straight-line method to solve for the value of the computer every year.

Step-by-step explanation:

Step one:

What is depreciation?

It can be defined as the loss of value of a commodity.

In this problem, the percent depreciation is given as 20% which means that 20% of the worth of the computer is lost every year.

We are told that the computer cost is $1000

let the number of years taken for the computer to depreciate be x

Step two:

Say we want to find the value of the computer after 1 year, the value of the computer will be

Value of computer= 1000-20/100*1000

Value of computer= 1000-0.2*1000

Value of computer= 1000-200

Value of computer= $800

Step three:

For the second year, the value will be

Value of computer= 800-20/100*800

Value of computer= 800-0.2*800

Value of computer= 800-160

Value of computer= $640

Answer:

This situation represents exponential decay. The rate of growth or decay, r, is equal to 0.2. So the value of the computer each year is 80% of the value in the previous year. It will take 3 years for the value of the computer to reach $512.

Step-by-step explanation:

PLATOOOOOO

Answer:

Yes, his expectation is reasonable

Step-by-step explanation:

Mathematically;

1 mile = 1.609344 km

If he runs this in 5 minutes;

his speed will be 1.609344/5 = 0.3219 km/m

Now he intends breaking the record of 5 kilometers in 15.25 minutes

Distance = speed * time

What we shall have in this case will be;

15.25 * 0.3219 = 4.908

Approximately this is 5 km

So we can conclude that he will break the record if he runs at this speed

Answer:

4(2x + 3)

Step-by-step explanation:

Given

8x + 12 ← factor out the common factor of 4 from both terms

= 4(2x + 3)

Answer:

the answer is 3

15/(2+3)

=15/5

=3

Step-by-step explanation:

Step-by-step explanation:

Twice the sum of a number and seven

a) 2(x+7)

Answer:

30 because of vertical angles.

Answer:

It is 30

Step-by-step explanation:

Hope this helps have an amazing day/month/year!

Answer:

w=7-vg

Vg=7-w

Vg/v=7-w/v

G=7-w/v

Answer:

q=-1

Step-by-step explanation:

.8-.4q=.2q+1.4

-.2q       -.2q

.8-.6q=1.4

-.8         -.8

-.6q= 0.6

/-.6    /-.6

q= -1

Answer:

Plot number 2

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

(48-6^2)/4

6^2 = 36

48 - 36 = 12

12/4

3

edit: I had the wrong answer, I fixed it though