If we add two equations in the original system, we have 6x+7y=32. Explain why the same (x,y) pair is also a solution to the equation

Answers

Answer 1

Answer:

simultaneous equations are used to solve for 2 variable


Related Questions

Correlation coefficients can test ______ variable(s) at a time. a. two or more b. only one c. one or more d. only two

Answers

Correlation coeffiencients is used to determine the relationships between data, Correlation coefficients can test two or more variable(s) at a time

What are correlation coefficients?

This is a linear correlation between sets of data. This coefficient can only be between -1 and 1.

Positive values show a positive correlation while a negative value shows negative correlation.  A correlation coefficient of zero shows no relationship between variables.

Based on the explanation, we can conclude that Correlation coefficients can test two or more variable(s) at a time

Learn more on correlation here: https://brainly.com/question/4219149

What is the mistake NEED ANSWER ASAP​

Answers

Answer:

The answers are in the image.

Step-by-step explanation:

Charlie made the mistake by not getting the equation equal to zero.

[tex]x^2 - 9x + 8 = 16[/tex]

Subtract 16 to both sides making it equal to 0.

[tex]x^2 - 9x - 8 = 0[/tex]

Using Quadratic Formula to Solve for x.

PLS HELPPP WHAT IS THE ANSWER????

Answers

Answer:

212

Step-by-step explanation:

starting with (xy)

you first plug in x=2 and y=3

(2×3) = 6

then we add in the exponent of 3

6^3 = 216

this is because an exponent shows you how many times the number is multiple by itself (6×6×6)

next we work on x^4 by plugging in x=2

2^4=16

2×2×2×2

we do the same for x^2

2^2=4

2×2

next we do the division

16/4=4

finally we take the 216 and 4 and do the subtraction

216-4=212

Find the lateral surface area and surface area of a cone with a base radius of 4cm and a slant height of 10cm.

Answers

Answer:

Lateral surface: 135.34

surface area: 185.61

Step-by-step explanation:

Lateral surface formula: AL=πrh2+r2

surface area formula: A=πr(r+h2+r2)

100 points. Send notes for volume of prisms and cylinders - gradpoint

Answers

Answer:

V = Bh = πr2h

Step-by-step explanation:

150% of a number is x. What is 100% of the number? Assume x>0

Answers

Answer:

0.667x

Step-by-step explanation:

150% = x

100% = ?

=> 100% * x / 150% = 0.667x

Graphs of Function,
Write in interval notation the areas of increase and decrease.
I don't need all of them answered maybe 1 or 2? I want to do some myself.
Thank you for any help on this.

Answers

Answer:

A function is increasing when the gradient is positive

A function is decreasing when the gradient is negative

Question 7

If you draw a tangent to the curve in the interval x < -2 then the tangent will have a positive gradient, and so the function is increasing in this interval.

If you draw a tangent to the curve in the interval x > -2 then the tangent will have a negative gradient, and so the function is decreasing in this interval.

If you draw a tangent to the curve at the vertex of the parabola, it will be a horizontal line, and so the gradient at x = -2 will be zero.

The function is increasing when x < -2

[tex](- \infty,-2)[/tex]

The function is decreasing when x > -2

[tex](-2, \infty)[/tex]

Additional information

We can actually determine the intervals where the function is increasing and decreasing by differentiating the function.

The equation of this graph is:

[tex]f(x)=-2x^2-8x-8[/tex]

[tex]\implies f'(x)=-4x-8[/tex]

The function is increasing when [tex]f'(x) > 0[/tex]

[tex]\implies -4x-8 > 0[/tex]

[tex]\implies -4x > 8[/tex]

[tex]\implies x < -2[/tex]

The function is decreasing when [tex]f'(x) < 0[/tex]

[tex]\implies -4x-8 < 0[/tex]

[tex]\implies -4x < 8[/tex]

[tex]\implies x > -2[/tex]

This concurs with the observations made from the graph.

Question 8

This is a straight line graph. The gradient is negative, so:

The function is decreasing for all real values of x

[tex](- \infty,+ \infty)[/tex]

But if they want the interval for the grid only, it would be -4 ≤ x ≤ 1

[tex][-4,1][/tex]

Question 9

If you draw a tangent to the curve in the interval x < -1 then the tangent will have a negative gradient, and so the function is decreasing in this interval.

If you draw a tangent to the curve in the interval x > -1 then the tangent will have a positive gradient, and so the function is increasing in this interval.

If you draw a tangent to the curve at the vertex of the parabola, it will be a horizontal line, and so the gradient at x = -1 will be zero.

The function is decreasing when x < -1

[tex](- \infty,-1)[/tex]

The function is increasing when x > -1

[tex](-1, \infty)[/tex]

Which expressions are equivalent? Check all that apply.
39
34
-9²
9
81¹

Answers

Answer:

-9²

81¹

They both are equal to 81.

82, 62, 95, 81, 89, 51, 72, 56, 97, 98, 79, 85 order from least to greatest find the The median of the lower half of the data and The median of the upper half of the data is

Answers

Answer:

The median of the lower half of the data was determined to be 67 while the median of the upper half of the data was determined to be 92.

Step-by-step explanation:

Step 1:  Order from least to greatest

51, 56, 62, 72, 79, 81, 82, 85, 89, 95, 97, 98

Step 2:  Determine the median of the lower half of the data

There are 12 numbers which means that there is going to be 6 numbers on both sides of the data.  So using the first 6 numbers we will be able to determine the median of the lower half of the data.

51, 56, 62, 72, 79, 81

Since there is an even amount of numbers, that means that we will need to find the middle between the 3rd and 4th number.  We can do that by adding them up together and dividing by 2.

(62 + 72) / 2 = 67

Step 3:  Determine the median of the upper half of the data

So using the first 6 numbers we will be able to determine the median of the upper half of the data.

82, 85, 89, 95, 97, 98

Since there is an even amount of numbers, that means that we will need to find the middle between the 3rd and 4th number.  We can do that by adding them up together and dividing by 2.

(89 + 95) / 2 = 92

Answer: The median of the lower half of the data was determined to be 67 while the median of the upper half of the data was determined to be 92.

Let x = a bi and y = c di and z = f gi which statements are true? check all of the boxes that apply. x y = y x (x × y) × z = x × (y × z) x – y = y – x (x y) z = x (y z) (x – y) – z = x – (y – z)

Answers

A complex number is a part of a number system that includes a real unit and an imaginary unit. All the statements are true except C and E.

What is a Complex Number?

A complex number is a part of a number system that includes the real numbers as well as a particular element labelled i, sometimes known as the imaginary unit, and which obeys the equation i² = 1.

As it is given that x=(a+bi), y=(c+di), and z=(f+gi), therefore, we need to plug in the values to check which all are true.

A.) x+y=y+x

[tex]x+y=y+x\\a+bi+c+di=c+di+a+bi[/tex]

As the two sides of the equation are equal, the equation is true.

B.) (x × y) × z = x × (y × z)

[tex](x \times y) \times z = x \times (y \times z)\\\\\ [ (a+bi) \times (c+di) ]\times (f+gi) = (a+bi) \times [(c+di) \times (f+gi)]\\\\(ac+adi+bci-bd) \times (f+gi)= (a+bi) \times (cf+cgi+fdi-dg)[/tex]

[tex](ac+adi+bci-bd) \times (f+gi)= (a+bi) \times (cf+cgi+fdi-dg)\\\\\\acf+adfi+bcfi-bdf+acgi-adg-bcg-bdgi = acf+acgi+afdi-adg + bcfi-bcg-bfd-bdgi[/tex]

As the two sides of the equation are equal, the equation is true.

C.) x−y=y−x

[tex]x-y=y-x\\\\(a+bi)-(c+di)=(c+di)-(a+bi)\\\\a+bi-c-di=c+di-a-bi[/tex]

As the two sides of the equation are not equal, the equation is not true.

D.) (x+y)+z=x+(y+z)

[tex](x+y)+z=x+(y+z)\\\\(a+bi+c+di)+f+gi = a+bi+(c+di+f+gi)\\\\a+bi+c+di+f+gi = a+bi+c+di+f+gi[/tex]

As the two sides of the equation are equal, the equation is true.

E.) (x−y)−z=x−(y−z)

[tex](x-y)-z=x-(y-z)\\\\(a+bi-c-di)-f-gi = a+bi-(c+di-f-gi)\\\\a+bi-c-di-f-gi =a+bi-c-di+f+gi)[/tex]

As the two sides of the equation are not equal, the equation is not true.

Hence, all the statements are true except C and E.

Learn more about Complex Number:

https://brainly.com/question/12464608

Solve the system by substitution.

y=4x-9
y=x-3

Answers

X-3=4x-9
X=4x-9+3
X=4x-6
X+6=4x |-x
6=3x |:3
X=2

Answer:

(2, -1)

Step-by-step explanation:

Given

y = 4x - 9y = x - 3

Solving

Substitute the value of one of the y values from the other equation4x - 9 = x - 33x = 6x = 2y = 2 - 3y = -1(2, -1)

Find the value of x.

Answers

Because corresponding sides of similar figures are in proportion, we can obtain the equation:

(x+3)/4 = (2x-4)/3

Multiplying both sides by 12,

3(x+3)=4(2x-4)
3x+9=8x-16
x=5

Please help me pretty please

Answers

Answer: D.

Step-by-step explanation:

The equation [tex]f(x) = (x-1)^{2} - 2[/tex] works only for option D. If x is 2, for example, the equation would look like this: [tex]f(2) = (2-1)^{2} - 2[/tex]. This equals [tex](1)^{2} - 2[/tex] which equals negative one. Therefore, when x is 2, y is -1. All of the graphs have the point (2, -1). We can still tell though that it is not A or B because there are spaces in between the points. If x = 2.2, the equation would not work for A or B because there is not a point with an x value of 2.2. This is different for both C and D. Δ

Answer C ends off early. There are endpoints to the figure. If x = 4, the equation would not work. This is because there is no point in answer C that has an x value of 4. On the other hand, question D does have a point with an x value of 4.

If x = 4, the equation looks like [tex]f(4) = (4-1)^{2} - 2[/tex].

We can simplify this to [tex]f(4) = (3)^{2} - 2[/tex]

and then [tex]f(4) = 7[/tex]

This means that when x is 4, y is 7. This is true for no graph but option D. Therefore the answer to this problem is D.

Round 1 637, 984 off to: c) the nearest tenth

Answers

Answer:

1,637.984

hope this helps

solve the system:
2x+6y=36
x+4y=20

Answers

Let's solve this problem step-by-step

Let's set:

   2x + 6y = 36 -- equation 1

   x + 4y = 20 -- equation 2

(equation 2) * 2

   2x + 8y = 40 -- equation 3

(equation 3) - (equation 1)

   2y = 4

   y = 2 -- equation 4

Plug (equation 4)'s value of y into (equation 2)

   x + 4(2) = 20

   x = 20 - 8

   x = 12

Thus x = 12 and y = 2

Let's check, by substituting these values

  [tex]2x + 6y = 36\\2(12)+6(2) = 36\\24+12=36\\36=36\\\\x+4y=20\\12+4(2)=20\\12+8=20\\20=20[/tex]

Answer: x = 12 and y = 2

Hope that helps!

which graph shows the solution set for -5/2x-3<_2?

Answers

solving the equation given to us first:

-5x/2 = 5/1 ( ignore the ≤ symbol for now and replace with =) and cross multiply

you will get

-5x = 10

x = -10/5 ( minus doesn't stay in denominator so so we take up to numerator )

x = -2

so x ≤ -2

NOTE: if we have ≤ we shade the dot but if we have just < or we don't shade the dot.

soooo

x ≤ -2 will be going backwards

so the answer is option (C).

Hope this helps.

Good luck.

A typhoon at P is 382 km away from city H at 8 p.m. The compass bearing of P from H is N28°W and the typhoon moves in the direction S15°W at a constant speed of 28 km/h. Find the shortest distance between the typhoon and city H. ​

Answers

C. Directions: Choose the letter that corresponds to the correct answer. 1. Francis walks
144
meters in
12
minutes from his house to his school What is his average speed? 4 QZ Week No.5_Competency Code: M6ME-IIIg- 7, M6ME-IIlg-18 A.
10
meters per minute C.
14
meters per minute B.
12
meters per minute D.
16
meters per minute 2. A typhoon is moving at the speed of
1250
km in
10
hours. What is the average speed of the typhoon? A.
125
kph B.
130
kph C.
135
kph D.
140
kph 3. Lito drove for
3
hours at a rate of
50
km per hour and for
2
hours at
60
km per hour. What was his average speed for the whole journey? A.
50
kph B.
52
kph C.
54
kph D.
56
kph 4. A truck took
4
hours to travel
280
km. Find the average speed of the truck? A.
74
km/h B.
70
km/h C.
66
km/h D.
62
km/h 5. A train left Town A going to Town B at 9:30 a.m. It reached its destination at
12
:
00
noon. The distance from Town A to Town B is
190
km. What was the train's average speed? A.
75
km/h B.
76
km/h C.
77
km/h D.
78
km/h

helpp meeee pleaseeee

Answers

Answer:

x≈49.457

y≈40.543

using trigonometry

Step-by-step explanation:

you basically jump type in the calculator shift then press the (sin/cos/tan) then put the ratio

Find three different ways to write the number 437000 as a multiple of a power of 10

Answers

Answer:

4370*10^2

437*10^3

43.7*10^4

I need help with problem 22

Answers

Answer:

6 art course and 7 writing coures

The selling price of a sweater is the cost plus the markup minus the discount. Write an expression to show the selling price s of a sweater. Use c for cost, m for markup, and d for discount.

Answers

Answer:

Step-by-step explanation:

Selling price = Cost price + Marked price - discount

            s   =  c + m - d

A new car is purchased for $35, 000 and over time its value depreciates by
one half every 6 years. What is the value of the car 14 years after it was
purchased, to the nearest hundred dollars?

Answers

The value after 14 year is 8750 dollar

I need help, question is in image.​

Answers

the answer is -8. hope this helps

What are the zeros of the polynomial function f(x) = x3 + x2 − 42x?

A. −7, 6

B. −6, 7

C. −6, 0, 7

D. −7, 0, 6

Answers

Answer:

D. -7, 0, 6

Step-by-step explanation:

[tex]x^3+x^2-42x=0[/tex]

[tex]x(x^2+x-42)=0[/tex]

[tex]x(x^2-6x+7x-42)=0[/tex]

[tex]x(x-6)(x+7)=0[/tex]

ZEROS:

x = 0

x = 6

x = -7

Hope this helps!

solve for x 13 + 7x = 27

Answers

Answer:

x=2

Step-by-step explanation:

1) -13 on each side (7x=14)

2) Divide by 7 on each side (x=2)

3) x=2

What is the best definition of area

Answers

Answer:

the region occupied in a plane is called area

In geometry, the area can be defined as the space occupied by a flat shape or the surface of an object.

the ratio of angles in a triangle is 11:6:7. find the largest angle

Answers

Answer:

Step-by-step explanation:

a trapezoid has a base of 32 inches and 14 inches and a height of 25 inches

Answers

Answer:

575 if your asking for the area

Step-by-step explanation:

Scott plans to cut wood with a chainsaw that operates on a fuel mixture of oil and gasoline.
• Scott knows the ratio for the mixture is 16 fluid ounces of oil for every 5 gallons of gasoline.
• Scott will create a mixture of the oil and gasoline and then fill the fuel tank of the chainsaw.
• The fuel tank of the chainsaw has a capacity of 12 fluid ounces.
.A full tank of the mixture allows Scott to operate the chainsaw for 40 minutes.
Part A
Scott has only 2 gallons of gasoline for the oil and gasoline mixture. How many fluid ounces of oil will Scott need to
add to the 2 gallons of gasoline to get the proper ratio for the mixture? Enter your answer in the first response box.

Answers

Answer:

It would take 6.4 fluid ounces. i think I got the same chainsaw or at least gas mix

There are 14 girls and 16 boys in Ms. Cherry's class. What is the ratio of girls to students in simplest form?

Answers

Answer:

7:15

Step-by-step explanation:

Total Students = 14+16 = 30

14:30

Divide by 2 on Both Sides

7:15

Answer: 7 to 15 hope it helps pretty Shure it will

Step-by-step explanation: I took the quiz

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