Solve the set of simultaneous equations graphically. Use a scale of 1cm = 1 unit on both axes.
y=4+x
y=1+3x ; 0≤x≤6

Answers

Answer 1
y=4+xy=3x+1

Graphs attached

(x,y)=(1.5,5.5)
Solve The Set Of Simultaneous Equations Graphically. Use A Scale Of 1cm = 1 Unit On Both Axes.y=4+x Y=1+3x

Related Questions

V (1) = 65t+280, where time , in minutes,.the pump has been on .
how many gallons of water were.in the tank when the pumps were turned on ​

Answers

V(1)=65t+280 answer 65 gallons per minute

Raven was a writing a story. She was trying to figure out how long it would take for her to write it. If she can ride 2 2/3 pages in one hour, how many pages will she have written after 2 1/2 hours? who is correct?

Answers

Answer:

She would have written 6 2/3 pages.

Step-by-step explanation:

2 2/3 pages = 1 hour

6 2/3 pages = 2 1/2 hours

What point located in quadrant IV has an x-value that is 3 units from the origin and a y-value that is 4 units from the origin?

Answers

(3, -4) has to be 20 lettered doodle doo

$14,038 is invested, part at 14% and the rest at 12%. If the interest earned from the amount invested at 14% exceeds the interest earned from the amount invested at 12% by $984.34, how much is invested at each rate? (Round to two decimal places if necessary.)

Answers

Answer:

492.99

Step-by-step explanation: x = amount invested at 12%

y = amount invested at 9%

---

x + y = 20287

0.12x = 0.09y + 492.99

---

put the system of linear equations into standard form

---

x + y = 20287

0.12x - 0.09y = 492.99

The amount invested at 14% is $4144 and the amount invested at 12% is $9894.

What is simple interest?

Simple interest is a method of calculating the interest charge. Simple interest can be calculated as the product of principal amount, rate and time period.

Simple Interest = (Principal × Rate × Time) / 100

We are given that;

Investment at 14%= $14,038

Investment at 12%= $984.34

Now,

Let x be the amount invested at 14% and y be the amount invested at 12%. Then we have:

x + y = 14038 (total amount invested)

0.14x - 0.12y = 984.34 (difference in interest)

We can solve this system of equations by substitution or elimination. For example, by elimination, we can multiply the first equation by 0.12 and subtract it from the second equation to get:

0.02x = 82.88

x = 4144

Then we can plug x into the first equation and get:

y = 14038 - 4144

y = 9894

Therefore, the simple interest will be $4144 and $9894.

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3’2x (8-5)
6’2+(4x3)
42-(14-12)

Answers

Answer:

1. 27

2. 48

3. 40

Step-by-step explanation:

3 to the power of 2 is 9 (3×3)

9×3=27. (8-5=3)

6 to the power of 2 is 36 (6×6)

36+12=48. (4×3=12)

42-2=40

Which two lines are parallel?

1. 5y=-3x-5
2. 5y = -1-3x
3. 3y - 2x = -1

A. 1 and 3

B. 2 and 3

C. None of the lines are parallel.

D. 1 and 2

Answers

D. 1 and 2 is your answer

What kind of slope does the graph have?

Answers

It has a positive slope.

when it starts at the bottom left like that and goes up it is positive. :)

List the angles of the triangle in order from least to greatest.

Answers

Answer:

3rd option

Step-by-step explanation:

The angle opposite the shortest side is the smallest

The angle opposite the longest side is the largest

Shortest side is AC with ∠ B opposite , thus smallest

Longest side is AB with ∠ C opposite, thus largest

Then order of angles from least to greatest is

∠ B , ∠ A , ∠ C

A container holds 4 gallons of lemonade. A large lemonade contains 16 ounces. How many large lemonades could a restaurant sell before they run out of lemonade?

Answers

Answer:

32 large lemonades

Step-by-step explanation:

4 gallons = 512 ounces

512 ounces / 16 ounces

= 32 large lemonades.

[tex]\sf 3(5x+4)[/tex]

[tex]\boxed{\sf Have \: a \: nice\: day!}[/tex]

Answers

Answer:

[tex]3(5x + 4) = 3 \times 5x + 3 \times 4 \\ = 15x + 12 [/tex]

Answer:

15x+12

Step-by-step explanation:multiply 5x + 4 by 3 hence answer is 15x +12

solve the given problem​

Answers

Step-by-step explanation:

the first step in my opinion would be find the norm(s) in this scenario.

100 pounds is a good norming weight.

the speed of these 100 pounds with a 10 HP motor is

50ft/30sec = 5/3 ft/s

so, then let's ask next what size of motor is needed to lift the same 100 pounds 40 ft in 40 seconds

40ft/40sec = 1 ft/s

to get the same speed as in the first case the motor need to be weaker (to move slower). and that goes by the same factor as the ratio between the 2 speeds :

5/3×f = 1

f = 3/5

10 HP × f = 10 × 3/5 = 30/5 = 6 HP

so, it takes a 6 HP motor to lift these same 100 pounds 40 ft in 40 seconds.

and now, how strong must the motor be to lift 800 pounds (= 8 times the original 100 pounds) with the same speed ?

well, 8 times

8×6 = 48 HP

so, it would take a 48 horsepower motor to lift 800 pounds 40 ft in 40 seconds.

the equation would then be

HP = p/100 × 6 = 6p/100 = 3p/50

HP = horsepower

p = pounds

the rest I cannot really answer, as I don't know your class and it's contents.

I hope I covered the topics of your class with that solution.

What is the ninth term of the arithmetic sequence defined by the rule below?
A(n) = -15 + 2(n – 1).
A. 1
B. -1
C. 31
D. -31

Answers

Answer:

A

Step-by-step explanation:

Substitute n = 9 into the nth term rule

A(9) = - 15 + 2(9 - 1) = - 15 + 2(8) = - 15 + 16 = 1 → A

One angle, Angle A = 80° find the other angle, Angle B
Hint: They are formed on a line.​

Answers

If 2 angles are formed on a line, then they make a supplementary / linear pair of angles, i.e, both the angles form 180°.

Here,

Angle A = 80°

Angle B = x°

So,

Angle A + Angle B = 180°

80° + x° = 180°

x° = 180° - 80°

x° = 100°

=》 Angle B = 100°

_____

Hope it helps ⚜

2. Quinnel made 14 shots out of the 40 he took during his first season of basketball.
Suppose he took 60 shots during his second season. How many shots would you expect
Quinnel to make during his second season of basketball?

Answers

He would make 22
You welcome

Is the figure shown in the xy- plane a parallelogram? Why or why not. use the coordinates to history your answer.
Please help!!! Due in 15 mins !!

Answers

Answer:

Step-by-step explanation:

It is a parrallelogram, the two lines are Parallel to each other meaning they will never cross each other

The given xy- plane is a parallelogram.

When a plane figure is called a parallelogram?

A plane figure is called a parallelogram when it have four sides, in which opposite sides are parallel to each other and each side is equal in length to its opposite side.

How to find the distance between two points?

If [tex](x_{1},y_{1} })[/tex] and [tex](x_{2},y_{2})[/tex] are the two points then the distance between these points is given by

[tex]d=\sqrt{(x_{2}-x_{1}) ^{2} +(y_{2}-y_{1} ) ^{2} }[/tex]

Where, d is the distance between two points.

According to the given question

We have a plane figure PSTO

And the coordinates of points P, S, T, and O are (a, b), (a + c, b), (c, 0) and (0,0) respectively.

Now, the length of the sides by distance formula

PS = [tex]\sqrt{(a-a-c)^{2}+(b-b)^{2} }[/tex]

PS = [tex]\sqrt{c^{2}+0 }[/tex]

PS = c

Similarly,

ST =[tex]\sqrt{(a+c-c)^{2}+(b-0)^{2} }[/tex]

ST = [tex]\sqrt{a^{2} +b^{2} }[/tex]

TO = [tex]\sqrt{(c-0)^{2}+(0-0)^{2} }[/tex]

TO = [tex]\sqrt{c^{2} }[/tex]

TO = c

And, PO = [tex]\sqrt{(a-0)^{2}+(b-0)^{2} }[/tex]

PO = [tex]\sqrt{a^{2} +b^{2} }[/tex]

From the above calculation we found that

PS = TO

PO = ST

⇒ Length of the  opposite sides of the plane figure are equals.

And from the given figure we can see that the opposite sides are also parallel to each other.

Therefore, the given xy- plane is a parallelogram.

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Functions f (solid) and g (dashed) are graphed.



What is the equation of g in terms of f?

A. G(x)=f(x)
B. g(x)=-f(x)
C. g(x)=f(-x)
D. g(x)=-f(-x)

Answers

B got it right on a quiz

3/4 in simplest form WILL GIVE BRANLYEST!!!

Answers

Answer:

3/4 is in it's simplest form

Step-by-step explanation:

3/4 cannot be simplified any more, so it is at it's simplest form

What is the solution for -10 < x - 9?
x > -19
x < -1
x < -19
x > -1

Answers

Answer:

x > -1

Step-by-step explanation:

-10 < x - 9

Add 9 to each side

-10+9 < x - 9+9

-1 < x

x > -1

Answer:

x > - 1

Step-by-step explanation:

- 10 < x - 9

- 10 + 9 < x - 9 + 9

- 1 < x

x > - 1

Hope it helps!!

A school allots £3000 to spend on a trip to the theatre.
Theatre tickets have a regular cost of £45 each and are on offer for off.
A train ticket for the day will cost £20 each
If 3 teachers and the maximum number of students attend, how many students go on the trip?

Answers

Answer:

32

Step-by-step explanation:

In the first week of​ July, a record people went to the local swimming pool. In the second​ week, fewer people went to the pool than in the first week. In the third​ week, more people went to the pool than in the second week. In the fourth​ week, fewer people went to the pool than in the third week. What is the percent decrease in the number of people who went to the pool over these four​ weeks?

Answers

Answer:

10%

Step-by-step explanation:

PLZ HELP DUE TODAY 100 POINTS AND BRAINLIEST


Write each expression using an exponent

1. 8 × 8 × 8 × 8 × 8 × 8 × 8
2. 4

Evaluate each expression
4. 9² 5. 99^1
6. 3,105^0 7. 22²
8. 2^7 9. 3^4

Answers

Answer:

1.  8^7

2. 2^2

Step-by-step explanation:

I am not sure about these

4. 6.32066568875585e+24

5. 1.0853858230617127e+182

6. Infinity

#1

8×8×8×8×8×8×8=8^7

#2

4=2^2

#3

9^5.99^19^5.99

#4

3105^0.7.22^2278.2(484)134648.8

#5

2^7.9.3^42^7.3^6

4th root of 1/16 as a fraction

Answers

Answer:

1/2, or 0.5

Step-by-step explanation:

What is the equation on the graph?
Please help!!!

Answers

Answer:

y = -1/4x + 2

Step-by-step explanation:

using the slope-intercept form (y=mx+b) m is the slope of the line which is -1/4 because it is decreasing and b is the y-intercept of the line which is 2

The 3 in 75,341 is ______ the value of the 3 in 293,467

Answers

Answer:

3 in 75,341 = the hundreth place.  3 in 293,467 = the thousandth place.

Step-by-step explanation:

Eight times a number increased by 4 times the number is less than 36. What is the number? . logo thon 13 then find the​

Answers

Answer:

36

Step-by-step explanation:

First, you subtract 4 by 36 which is 32. Then, divide 32 by 8 which equals 4 therefore the answer is 36.

Find the value of x. 130 Х​

Answers

Answer:

60

Step-by-step explanation:

edge

Solve for x
log2(5x-4)=4
Please show steps

Answers

Answer:

x=1.2

Step-by-step explanation:

2(5x-4)=4

distribute 2 to 5x and -4

10x-8=4

add 8 to negative 8 and 4

10x=12

now divide both sides by 10

10x/10= 12/10

x=1.2

The value of x for the logarithmic expression will be x=1.2.

What is an expression?

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given expression is log2(5x-4)=4. The value of x will be calculated as,

2(5x-4)=4

Distribute 2 to 5x and -4,

10x-8=4

Add 8 to negative 8 and 4,

10x=12

Now divide both sides by 10,

10x/10= 12/10

x=1.2

Therefore, the value of x for the logarithmic expression will be x=1.2.

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Can some one help? This is sooooooo hard

Answers

Answer:

median is a hight of a triangle

A recipe for apple crisp uses 4 parts oats,8 parts brown sugar,and 10 parts flour. In simplest form,how many parts of brown sugar are there for every part of flour?​

Answers

Answer:

8:10

Step-by-step explanation:

8 parts for brown sugar and 10 parts flour.

In simplest, 4:5 (divide 8 and 10 by 2)

HELP- I NEED LOTS OF HELP

Answers

Answer:

|279|

Step-by-step explanation:

so when ur doing absolute value you js need distance so lets work with the problem, if ur 279 feet below water u would need to get to zero feet below sea level (ground lvl) to do so how many feet towards ground lvl would u go? (279 clearly) so the distance from how many feet under u are to the ground lvl is ur absolute value.

Tbh in school they over complicate it if u need an absolute number from a negative number like -279 (as it is in the problem) you would js make it a positive (if its positive 279 u js say the absolute value is 279)

(also the absolute value is the distance between the number and zero so yh u can put that)

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