Explain to your guardian how you would solve the below problem
step by step. Solve the system y = 2x + 6 and 3y = 6x + 18 by using graph paper or graphing technology.
What is the solution to the system? Feel free to submit graphs.

Answers

Answer 1

Answer:

infinite solutions

Step-by-step explanation:

y = 2x + 6

when x = 0,  y = (2 x 0) + 6 = 6  ⇒  (0, 6)

when y = 0,  0 = 2x + 6  ⇒  x = 3  ⇒ (3, 0)

Plot the two points and draw a line through them

3y = 6x + 18

divide everything by 3  ⇒  y = 2x + 6

Therefore, y = 2x + 6 equals 3y = 6x + 18

So the lines overlap (produce the same graph)

Therefore, the system will have infinite solutions


Related Questions

Which number is closest to 63(square root)?
A. 8.4
B. 7.2
C. 7.9
D. 6.7

Answers

Answer:

C-7.9

Step-by-step explanation:

Because the square root is actually 7.93

Answer:

C. 7.9

Step-by-step explanation:

Do the square root of 63.

[tex]\sqrt{63} = 7.93725[/tex]

Your answer isn't perfect, but it's asking for which number is the closest to the [tex]\sqrt{63}[/tex].

[tex]\sqrt{63}[/tex] ≈ [tex]7.9[/tex]

g(x) is a function as defined below 9(x) = 3 If you input 2 into g(x), what do you get for an output? Enter your answer in the simplest form in the space provided below. (If your answer is a decimal number, round it to two decimal places.) Example answer: 42.63​

Answers

Answer:

The answer is 0.33 <3

Step-by-step explanation:

i put this here so its easier to see that answer then the steps :)! Try gauth math, its a great app! Just take a picture of a question and a expert will give you the right answer, and explanation.

Have a blessed week! :)

Find the value of X.
50°
90°
100°

Answers

Answer: 60 degrees

Step-by-step explanation:

add 90 50 and 100

= 240

Total of all interior angles should be 360

So 360-240=120

Straight line: 180 degrees

180-120=60

PLEASE HELP DO BOTH A AND B PARTS PLEASE :)​

Answers

Answer:

Market (3, 8)

Park (2, 5)

Lily's house (4, 3)

School (7, 6)

Step-by-step explanation:

E2023

Answer:

see attached diagram

market = (3, 8)

Step-by-step explanation:

Park = (2, 5)

Find the number 2 on the x-axis, then count up 5 units

Park = (2, 5)

x-coordinate:  1 unit to the right = 2 + 1 = 3

y-coordinate: 3 units up = 5 + 3 = 8

Therefore, market = (3, 8)

Carlos designs the skateboard ramp shown in the diagram, 132in h? 22 degrees Enter the height of the ramp (h), in inches, Round your answer to the nearest whole inch.

Answers

The height of the ramp is 49.45in

Data;

Length of the skateboard = 132inAngle between the height and skateboard = 22 degreesheight of the skateboard ramp

Trigonometric Ratio

To solve this problem, we can use trigonometric ratio SOHCAHTOA

Since we have the value of the angle and length of the ramp, this can be illustrated as hypotenuse and angle between the hypotenuse and opposite of the right-angle triangle.

From the information above, we have angle and hypothenuse but we need to solve for the opposite of the right-angle triangle. The sine angle can solve this problem.

[tex]sin \theta = \frac{opposite}{hypothenuse} \\sin 22 = \frac{x}{132} \\x = 132 sin 22\\x = 49.45 in[/tex]

The height of the ramp is 49.45in

Learn more on trigonometric ratios here;

https://brainly.com/question/12172664

The angle of elevation of the sun is 39° from the ground. A business building downtown casts a shadow that is 89 m long. How tall is the building?​

Answers

[tex]\tan 39 \textdegree = \displaystyle \frac{h}{89}\\\\89\tan 39 \textdegree = h\\\\h = 72[/tex]Answer:

72 m

Step-by-step explanation:

Hi there!

Using the given information, we can construct a diagram. Please see the attached image.

We need to solve for the height of the building, or the length of the side opposite the angle that measures 39°. Given the only other piece of information is the length of its adjacent side, which is 89 m, we can use the tangent ratio to solve for the height:

[tex]\tan \theta = \displaystyle \frac{opposite}{adjacent}[/tex]

Plug in the given values:

tan 39° = h/89

89 tan 39° = h

h = 72

Therefore, the height of the building is 72 m.

I hope this helps!

Find the area of the shaded region Use 3.14 for z. Une pencil and paper What would happen to the area if one of the
dimensions were changed? Explain your reasoning
C
154
173
de sort HH Đ H )
The area is approximately
(Round to the nearest hundredh as needed)



I NEED HELP

Answers

The area of shaded region = area of triangle - area of circle = 33.73 sq. m.

What is the Area of Triangle and Circle?

Area of circle = πr²

Area of triangle = 1/2(base × height)

The area of the shaded region = area of triangle - area of circle

=  1/2(14 × 12) - π × 4²

Area of shaded region = 84 - 50.27

Area of shaded region = area of triangle - area of circle = 33.73 sq. m

Learn more about area of triangle on:

https://brainly.com/question/21735282

Can you please solve this?!?​

Answers

[tex]\bold{\huge{\blue{\underline{ Solution }}}}[/tex]

Given :-

Here, We have,

[tex]\sf{\dfrac{a}{b}}{\sf{=}}{\sf{\dfrac{b}{c}}}{\sf{=}}{\sf{\dfrac{c}{d}}}[/tex]

To Prove :-

We have to prove that √(a - b - c)(b-c-d) = √ab-√bc-√cd

Let's Begin :-

[tex]\sf{√(a-b-c)(b-c-d)=√ab-√bc-√cd}[/tex]

Let [tex]\sf{\dfrac{a}{b}}{\sf{=}}{\sf{\dfrac{b}{c}}}{\sf{=}}{\sf{\dfrac{c}{d}}}{\sf{ = k}} [/tex]

Therefore,

From above, We can conclude that,

a = bk, b = ck, c = dk

a = dk³ , b = dk² , c = dk

By solving RHS :-

[tex]\sf{√(a - b - c)(b-c-d) }[/tex]

[tex]\sf{√(dk³ - dk² - dk) (dk² - dk - d) }[/tex]

[tex]\sf{√d(k³- k² - k) d(k² - k - 1)}[/tex]

[tex]\sf{d√(k³- k² - k) d(k² - k - 1)}[/tex]

[tex]\sf{d√k(k²- k - 1)(k² - k - 1)}[/tex]

[tex]\sf{d(k²- k - 1)√k ...eq(1)}[/tex]

By solving LHS :-

[tex]\sf{√ab - √bc - √cd}[/tex]

[tex]\sf{√dk³(dk²) - √dk²(dk)-√dk(d)}[/tex]

[tex]\sf{√d²k^5 - √ d²k³ - √d²k}[/tex]

[tex]\sf{dk²√k - dk√k - d√k}[/tex]

[tex]\sf{(dk² - dk - d)√k}[/tex]

[tex]\sf{d(k²- k - 1)√k...eq(2)}[/tex]

From eq(1) and eq(2)

[tex]\bold{\red{ LHS = RHS }}[/tex]

That is,

[tex]\sf{√(a-b-c)(b-c-d)=√ab-√bc-√cd}[/tex]

Hence proved .

Yes, the RHS and the LHS are equal/

Calculations and Parameters:

Given:

[tex]a/b= b/c = c/d[/tex]

We have to prove that √(a - b - c)(b-c-d) = √ab-√bc-√cd

Hence, after we expand the brackets and evaluate, we see that:

a = bk, b = ck, c = dka = dk³ , b = dk² , c = dk

After the evaluation of the RHS and LHS, we can see that

RHS= LHS .

Read more about maths expressions here:

https://brainly.com/question/2164351

Which of the following sets of angles of a triangle represents an acute triangle?

30°, 60°, 90°
60°, 65°, 55°
40°, 40°, 100°
45°, 40°, 95°


I think it's B, but I think i am wrong. Please explain...

Answers

Answer: It's B, great job!

Step-by-step explanation: An acute angle measures less than 90 degrees. 60,65, and 55 are all under 90.

pls help i forgot how to do this
Find the area of the parallelogram.​

Answers

Answer:

3484 [tex]ft^{2}[/tex]

Step-by-step explanation:

Given,

The figure is of a parallelogram

Height (h) of the parallelogram = 52 ft.

Since,

In a parallelogram opposite sides are equal so,

Corresponding base to the height of the parallelogram is = 67 ft.

Therefore,

Area of the given parallelogram

= base × height

[On substituting their values]

= 67 ft. × 52 ft.

[On multiplying]

= 3484 [tex]ft^{2}[/tex]

Hence,

The required area of the parallelogram is 3484 [tex]ft^{2}[/tex] (Ans)

Write an equation in slope-intercept form for the line with slope -6 and y-intercept 7. Then graph the line.

Answers

I can only give the equation right now, sorry.

y= -6x + 7

Answer:

y = -6x + 7

Step-by-step explanation:

Slope-intercept form: y = mx + b

where:

m is the slopeb is the y-intercept (when x = 0)

Given: a line with a slope of -6, and y-intercept of 7

Equation: y = -6x + 7

y-intercept: (0, 7)

Randomly select x-values that will help you graph the equation:

when x = -2:

y = -6(-2) + 7 [multiply]

y = 12 + 7 [add]

y = 19

coordinate: (-2, 19)

when x = 1:

y = -6(1) + 7 [multiply]

y = -6 + 7 [add]

y = 1

coordinate: (1, 1)

when x = 2:

y = -6(2) + 7 [multiply]

y = -12 + 7 [add]

y = -5

coordinate: (2, -5)

These coordinates fall on the line for the linear equation. Graph them on a coordinate plane, and they should give you the line for the equation.

Six times a number increased by 4 is no less than 50

Answers

Answer:

Number>2

Step-by-step explanation:

If number is 1 then 6×1=6

6×4=24

which is less than 50

If number is 2 then 6×2=12

12×4=48
which is less than 50

Can someone help me with this question please

Answers

Answer:

  10.3 cm

Step-by-step explanation:

There are a few ways to do this.

1)

Using the law of cosines, you have ...

  b² = a² +c² -2ac·cos(B)

  b² = 11² +11² -2(11)(11)·cos(56°) = 106.67

  b = √106.675 ≈ 10.3

  AC = 10.3 cm

__

2)

Using trig functions. When you draw an altitude in this isosceles triangle from B to AC, it divides AC in half, and it divides angle B in half. The sine relation can help here:

  Sin = Opposite/Adjacent

  sin(56°/2) = (AC/2)/(11 cm)

  AC = (22 cm)sin(28°) ≈ 10.3 cm

__

3)

Using a triangle solver, you can find the value of AC to be about 10.3 cm. Triangle solvers are available as apps and on the web. Your graphing calculator may have one. See attached for the results from a nice solver available on the web. Units are cm.

How many solutions does the system have? x y = 5 x y = 6 none one two infinite.

Answers

Answer:

none

Step-by-step explanation:

{ x=5-y

{ x=y=6

substitute the given value of x into the equation x+y=6

5-y+y=6

the equation for y

y∈⊘

Each of 8 girls has
a button collection.
Each girl has 8
buttons in her
collection. How
many total buttons
are there in the 8
collections?

Answers

Answer: there are 64 buttons because 8*8=64

From the observation deck of a skyscraper, Bashir measures a 45^{\circ} the angle of depression to a ship in the harbor below. If the observation deck is 1057 feet high, what is the horizontal distance from the base of the skyscraper out to the ship? Round your answer to the nearest hundredth of a foot if necessary.

Answers

The answer is 1057 feet

what does the maximum point represent in the function?
a. Y-Int
b. x=0
c. height
d.vertex

Answers

Y=mx+b

Y is the intercept: for example (0,7) intercept is 7 for y. The y intercept is always x=0 and y=number

x=0 could be a solution or a x intercept.

Height is always the y value in a graph

Vertex is the point at which a parabola changes direction.


Hope this helps please like and brainiest if good!

Fill in the table using this function rule.
y = 4x + 1
HELP PLEASE NOW!!! no links plz

Answers

Answer:

y=4x+1

for x=3

y=4(3)+1

y=12+1

y=13

for x=6

y=4(6)+1

y=24+1

y=25

for x=8

y=4(8)+1

y=32+1

y=33

for x=10

y=4x+1

y=4(10)+1

y=40+1

y=41

x y

3 13

6 25

8 33

10 41

please pick me brainliest.

I HOPE IT HELPED

Solve for y 8x-7y=23 (fill all of the boxes)

Answers

Answer:

i think this is the correct answer

Step-by-step explanation:

Simplifying

8x + -7y = 23

Solving

8x + -7y = 23

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '7y' to each side of the equation.

8x + -7y + 7y = 23 + 7y

Combine like terms: -7y + 7y = 0

8x + 0 = 23 + 7y

8x = 23 + 7y

Divide each side by '8'.

x = 2.875 + 0.875y

Simplifying

x = 2.875 + 0.875y

Can 445 be simplified?

Answers

445 is a whole number and therefore cannot be simplified.

no it can not be simplified and

As part of a community service project at your highshcool you are organizing a fund raiser at the neighborhood movie theater money raised will benefit a summer camp for children with special needs the admission charge is 10.00 per person, 5.50 of which is used to pay the movie theaters rental fee, the remainder is donated to the summer camp fund what are the two variables involved in this problem

Answers

Answer:

Yes it is a function. It passes the vertical line test. In other words, it is impossible to draw a single vertical line through more than one point on the V shaped graph. Any input leads to exactly one output.

The domain is the set of all real numbers. This is because we can plug in any x value leading to some specific y value. There are no holes or gaps or jumps to indicate we must restrict any given x value. The domain would not be the set of whole numbers only because values between the whole numbers (eg: decimal values like x = 2.75) work just fine.

The range is the set of y values such that y is either 0 or larger than 0. In short, the range is . Notice how any point on the V shaped graph has a y coordinate that is either 0 or larger than 0. It is impossible to get a y value that is negative.

Step-by-step explanation:

I will give brainliest

Answers

Answer:

2,-5,-12,-19,-26

Step-by-step explanation:

-7n +9

-7(1) +9 = 2

-7(2)+ 9= -5

-7(3)+9 = -12

-7(4)+9 = -19

-7(5)+9 = -26

Please help me I'm really stuck and I can't get a red if I get this wrong I will​

Answers

Answer:

-0.75

Step-by-step explanation:

(0 , 22) (12, 13)

=13 - 22/12 - 0

=-9/12

=-0.75

Max is mountain hiking at a constant rate. This equation y = 10x 30 can be used to represent this situation, where y is Max's elevation in meters and x is the number of hours Max has been hiking. Which statement best describes Max's elevation, given this equation?.

Answers

Answer:

D.) Max started at a height of 30 meters and is ascending at 10 meters per hour.

Step-by-step explanation:

This equation y = 10x + 30 can be used to represent this situation, where y is Max's elevation in meters and x is the number of hours Max has been hiking

Max started at the height of 30 meters and is ascending at a rate of 10 meters per hour. Then the correct option is A.

What is the linear system?

It is a system of an equation in which the highest power of the variable is always 1. A one-dimension figure that has no width. It is a combination of infinite points side by side.

Given

The equation is y = 10x + 30.

Where y is Max's elevation in meters and x is the number of hours.

Max has been hiking.

From the equation, we can conclude.

Max is ascending at a rate of 10 meters per hour.

Max is at the height of 30 meters at the starting.

Thus, option A is correct.

More about the linear system link is given below.

https://brainly.com/question/20379472

i need help w this (20 points)

Answers

Answer:

the answer for B M Y is 40

Step-by-step explanation

Part B answer to X M Y is 85

On Dec. 4, 1998, sunrise was at 6:58 and sunset was at 4:12.
The length of the daylight was:
O A. 8 hr 15 min
B. 9 hr 3 min
O c. 9 hr 12 min
OD. 9 hr 14 min
E. 10 hr 15 min
PLS HELP

Answers

The length of the daylight was 9 hr 10 min

Which function is linear?​

Answers

Answer:

A,B,and D is a linear equation

Answer:

B. 4x - y + 2.5 = 0

Step-by-step explanation:

Its linear as it doesn't have any square or division.

ignore - ², division, xy being together. if so option D, C, A cancels out.

A prism has a length of l, width of 3 feet, and height of 7 feet.
The volume of this rectangular prism is 84 ft3.

What is the length of the prism?
28 ft
12 ft
8 ft
4 ft
A prism has a length of l, width of 3 feet, and height of 7 feet.
The volume of this rectangular prism is 84 ft3.

What is the length of the prism?
28 ft
12 ft
8 ft
4 ft

Answers

4 feet because 7x3x4 is 84

Answer:

they are right

Step-by-step explanation:

QUESTION 5
Given the following two functions:
f(x)=x2+1 and g(x)=x+ 1, find (g+f) (-1)

Answers

Answer:

(g+f)(-1)=2

Step-by-step explanation:

f(x)x²+1

g(x)=x+1

(g+f)(x)= x+1+x²+1

(g+f)(-1)=(-1)+1(-1)²+1

(g+f)(-1)=(-1)+1+(-1)²+1

(g+f)(-1)=2

Hope this helps u! :)

.PLEASE HELP!!
Paul opens a savings account with $350. He saves $150 per month. Assume that he does not withdraw
money or make any additional deposits.
a. Write a linear model that represents the total amount of money Paul deposits into his account after m months.
b. After how many months will Paul have $2,000?

Answers

Answer:

350+150m=total money

11 months

Step-by-step explanation:

you just put in the number of months that have passed in for m and solve for total money.

After how many months will Paul have $2,000?

350+150m=2000

350-350+150m=2000-350

150m=1650

150m/150=1650/150

m=11

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