Answer two questions about Systems
A
AA and
B
BB:
System
A
AA
start text, end text System
B
BB
{
x

4
y
=
1
5
x
+
6
y
=

5










x−4y=1
5x+6y=−5


{
x
=
1
+
4
y
5
x
+
6
y
=

5










x=1+4y
5x+6y=−5


1) How can we get System
B
BB from System
A
AA?

Answers

Answer 1

The correct answer is System B can be obtained from System A by replacing x in the second equation with the expression 1 + 4y and simplifying the resulting equations.

To obtain System B from System A, we can perform the following steps:

Start with System A:

System A:

x - 4y = 1

5x + 6y = -5

Solve the first equation in System A for x:

x = 1 + 4y

Substitute the value of x in the second equation of System A:

5(1 + 4y) + 6y = -5

Simplify and solve for y:

5 + 20y + 6y = -5

26y = -10

y = -10/26

y = -5/13

Substitute the value of y back into the equation we found in step 2:

x = 1 + 4(-5/13)

x = 1 - 20/13

x = (13 - 20)/13

x = -7/13

Write down the equations with the values of x and y:

System B:

x = -7/13

5x + 6y = -5

Therefore, System B can be obtained from System A by replacing x in the second equation with the expression 1 + 4y and simplifying the resulting equations.

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Related Questions


You were planning to spend $12 on a
pizza. Write and solve an inequality to represent
the additional amount you must spend to get
free delivery.

Answers

Answer:

x+12

Step-by-step explanation:

I belive some part of this may be missing. I feel like their should be more info maybe on how much you have to buy but this in general is technically correct. x is the amount you must spend to get free delivery + 12 bucks

Which of the following lines is perpendicular to the line 8x + 6y = 12 and passes through the point (-12,-2)?​

Answers

Answer:

y = 3/4x + 7

Step-by-step explanation:

8x + 6y = 12

6y = -8x + 12

y = -4/3x + 2

Perpendicular slope: 3/4

y - y1 = m(x - x1)

y + 2 = 3/4(x + 12)

y + 2 = 3/4x + 9

y = 3/4x + 7

please answer all the questions for 25 points and for brainliest if not answer correctly will report

Answers

Answer:

1) 56.52 in²

2) 565.2 ft²

3) 235.5yd²

4) 898.04 ft²

5) 942 yd²

6) 75.36 in²

Step-by-step explanation:

SA= πrS + πr²

1) (3.14)(2)(7) + (3.14)(2²) = 56.52 in²

2) (3.14)(9)(11) + (3.14)(9²) = 565.2 ft²

3) (3.14)(5)(10) + (3.14)(5²) = 235.5yd²

4) (3.14)(11)(15) + (3.14)(11²) = 898.04 ft²

5) (3.14)(10)(20) + (3.14)(10²) = 942 yd²

S =5 because 5² = 3² + 4²

6) (3.14)(3)(5) + (3.14)(3²) = 75.36 in²

does 12, 24, 36 form a right triangle​

Answers

Explanation is in the file

tinyurl.com/wpazsebu

m_VSR =
Help meeeeeeeee

Answers

Answer:

80 degrees

Step-by-step explanation:

I need help with the questions I circle only.

Answers

Answer:

3:12

4:36

Step-by-step explanation:

( pls dont report me let me kno if it wrong and i will fix it

Not SUV= 12

I didn’t get the last one

3/5+1/4

Give your answer as a fraction in its simplest form



Answers

Answer:

5.25/5 i think

Step-by-step explanation:

3/5 = 8/10 and 1/4 = 2.5/10

So if I do 8/10 + 2.5 / 10.

My reply is 10.5/10

And if I reduce as max, my reply is: 5.25 / 5

Damian took out a car loan for $10,500 that has a 0% APR for the first 12
months and will be paid off with monthly payments over 3 years. For how
many months will Damian be charged interest?

A. 24 months
B. 48 months
C. 36 months
D. 12 months

Answers

Answer: 24 Months

Step-by-step explanation:

8ty grade math, please help.
-Find the volume-

Answers

Answer:

47.12389 Rounded is 47.12

Step-by-step explanation:

V=πr2h=π·12·15≈47.12389

this dot plot is symmetric, and the data set has no extreme values

Answers

Answer:

Where is the plot?

Step-by-step explanation:

A rectangle with an area of 61 units” is dilated by a scale factor of ;. Find the area of
the rectangle after dilation. Round your answer to the nearest lenth, if necessary.

Answers

Answer:

34 units

Step-by-step explanation:

I decided that one side is 61 units and the other is 1 unit, since that would make the area 61 units.

Then I multiplied 61 by 3/4, which equals a new length of 45.75 units, and I also multiplied 1 by 3/4, which equals a new length of 0.75 units.

Finally, I solve for the area of the rectangle:

45.75 x 0.75 ≈ 34 units (rounded to the nearest whole number)

Help me answer the question ​

Answers

Answer:

cubic

Step-by-step explanation:

you can eliminate all of the other ones

Answer:

cubic

Step-by-step explanation:

quadratic = makes a parabola - U shaped

linear = makes a straight line

cubic = makes a shape just like the one in the picture

square root = makes a curved shape and its also a shape that looks like half of a parabola lying on its side

Need Help. I will give brainliest.

Answers

Answer:

I think that by nothing these.triangles are similar so it is option d

Answer:

Step-by-step explanation:

If we look at the ratios of shortest to longest sides we see

34/110 does not equal 26/44

Since these ratios are not equal they are not similar triangles.

So the answer is D

REVIEW SECTION
7. Which of the following statements is not true if A JKL = A MNO?
A. Z) = 2M
C. ZN= 2K
B. ZL220
D. LLUN

Answers

i think its ZN=2K

im not sure so please recheck it with someone else

Help please I will give 50 points

Answers

[tex]7(6 + y)[/tex]

[tex](y \times 6) + (y \times 7)[/tex]

[tex]6(y + 7)[/tex]

[tex](y \times 6) {y}^{2} [/tex]

12+x=46
what is the answer to x?

Answers

Answer:

x=34

Step-by-step explanation:

On the middle school basketball team, 8 players are 6th graders. Of the players, 40 percent are 6th graders. How many players are on the team?

Answers

It is 20 cause 8/20 is 40 percent of 20

What is her average?

Answers

Answer:

95

Step-by-step explanation:

88 + 95 + 97 + 100 = 380

380 ÷ 4 = 95

To find the average you add all the numbers together and then divide that answer depending on how many numbers there are for example there were 4  numbers in this problem so I divided by 4.

Hoped this helped you!! If you have any other questions about what I said you can ask me :) Have a great day!

Help fjdhddjdhdhhdhdhdufh

Answers

Answer:B. 86

Explanation: 1032/12=86

Find the equation of the straight line passing through the point (-4,5) and perpendicular to the line y=2x+7.Suppose the equation is y=cx+d.Find c,d.

Answers

Answer:

The equation of the line is:

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

Step-by-step explanation:

Equation of a line:

The equation of a line has the following format:

[tex]y = mx + b[/tex]

In which m is the slope and b is the y-intercept.

Perpendicular lines:

If two lines are perpendicular, this means that the multiplication of their slopes is -1.

Perpendicular to y=2x+7

This means that:

[tex]2m = -1[/tex]

[tex]m = -\frac{1}{2}[/tex]

So

[tex]y = -\frac{1}{2}x + b[/tex]

Passing through the point (-4,5)

This means that when [tex]x = -4, y = 5[/tex]. We use this to find b.

[tex]y = -\frac{1}{2}x + b[/tex]

[tex]5 = -\frac{1}{2}(-4) + b[/tex]

[tex]2 + b = 5[/tex]

[tex]b = 3[/tex]

The equation of the line is:

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

Jamal gets ready for a basketball game by shooting 101010 free-throws. Based on previous data, he has a 70% chance of making each free-throw. Assume that the results of each free-throw are independent.
Which of the following would find the probability of Jamal making exactly 8 of 10 free-throws?
A) (10
7) (0.70)^7(0.30)^3


B) (10
8) (0.70)^8(0.30)^2
C) (10
8) (0.70)^2(0.30)^8
D) (70
10) (0.70)^8(0.30)^2
E) (0.70)^8(0.30)^2

Answers

Answer: you’re welcome

Step-by-step explanation:

The probability for the given case is ⁰C₈(0.8)⁸(0.3)². The correct option is (c).

How to find probability using binomial distribution?

The binomial distribution is based on the binomial theorem which can be written as (a + b)ⁿ = ⁿC₀aⁿb⁰ + ⁿC₁aⁿ⁻¹b¹ + ⁿC₂aⁿ⁻²b²+ ....+ ⁿCₙa₀bⁿ.

In order to use in the probability, there should be events independent of each other and the sum of there probabilities is 1.

Given that,

The probability of making free-throw is 70% = 70/100 = 0.7

Then, the probability of not making free-throw is 1 - 0.7 = 0.3.

The exact 8 free-throws out of 10 implies that there will be 2 throws that are not free.

So, this case belongs to the binomial distribution which can be written as,

ⁿCₓpˣqⁿ⁻ˣ, where p is the probability of success and q is the probability of failure, n is the total number of trials and x is the number of favorable trials.

Now, in order to find the probability of exact 8 free-throws out of 10 can be found using binomial distribution as follows,

P (exact 8 throws) = ¹⁰C₈(0.8)⁸(0.3)²

Hence, the probability of getting exact 8 free-throws out of 10 is  ¹⁰C₈(0.8)⁸(0.3)².

                             

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Rewrite the number in Standard form
6 x 10^8

Answers

Answer:

10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 = 100,000,000 x 6 = 600,000,000.

Answer:

600000000

Step-by-step explanation:

10^8=100000000

6×100000000=600000000

hope this helps

Question 2
There are 8 students in a discussion section: 3 boys and 5 girls.
If the teacher picks a group of 1 at random, what is the probability that everyone in the
group is a boy?
3/8
1/3
110
Submit answer
Exit
wl
Chin

Answers

Answer:

3/8

Step-by-step explanation:

this is because there are 8 students in all and only three of them are boys

SOMEONE PLEASE HELP NO LATE RESPONSES JUST PLEASE ASAP

Answers

Answer:

93.5

Step-by-step explanation:

What is the recursive formula for the geometric sequence 2, 12, 72, 432,.. ?

Answers

[tex]a_{1}=2\\a_{n}=6a_{n-1}[/tex]

The recursive formula is  aₙ = 2(6)ⁿ⁻¹.

What is recursive formula?

A recursive formula for a geometric sequence with common ratio r is given by aₙ = a₁ rⁿ⁻¹ for n≥2.

Given: 2, 12, 72, 432,..

r= 12/2= 6

a= 2

The recursive  formula for the nth term,

aₙ = a₁ rⁿ⁻¹

aₙ = 2(6)ⁿ⁻¹

Hence, the recursive formula is aₙ = 2(6)ⁿ⁻¹

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A process manufactures ball bearings with diameters that are normally distributed with mean 25.14 mm and standard deviation 0.08 mm. NOTE: This is a multi-part question. Once an answer is submitted, you will be unable to return to this part. A particular ball bearing has a diameter of 25.2 mm. What percentile is its diameter on

Answers

Answer:

The diameter is in the 77th percentile.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

25.14 mm and standard deviation 0.08 mm.

This means that [tex]\mu = 25.14, \sigma = 0.08[/tex]

A particular ball bearing has a diameter of 25.2 mm. What percentile is its diameter on?

This is the pvalue of Z when X = 25.2. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{25.2 - 25.14}{0.08}[/tex]

[tex]Z = 0.75[/tex]

[tex]Z = 0.75[/tex] has a pvalue of 0.77.

The diameter is in the 77th percentile.

Please help me with this

Wilbur landed his plane.
The plane's elevation relative to the ground (in meters) as a function of time (in seconds) is graphed.

A. 6 meters per second
B. 5 meters per second
C. 7 meters per second
D. 4 meters per second

Answers

Used Desmos and you’ll get your answer but do like 4m or y=4

A pet sitter charges $84 for eight hours of work at this rate how much does the pet Sitter charge for seven hours of work?

Answers

Answer:

73.5

Step-by-step explanation:

84/8=10.5

10.5x7=73.5

Write an equation and find the missing angle.

Answers

4+5x+x+2= 180
29

4+5(29)=149degrees

(29)+2= 31 degrees

i hope this helps

What are the x-intercepts of the graph of y = x + 7x + 10?
O A. (5,0) and (2.0)
O B. (-7,0) and (-10,0)
O c. (7,0) and (10,0)
O D. (-5,0) and (-2, 0)

Answers

Answer:

D

Step-by-step explanation:

I hope this helps a bit.

Other Questions
Answer all of these questions and you will get the brain list 109Ryan and Daniel are both packing boxes at a factory. Ryan can pack three boxes every hour. The number of boxes Daniel can pack inx hours is represented by the equation below.y = 45Which of the following correctly describes the two functions?OA. The number of boxes that can be packed by Ryan and Daniel each increases over time. Daniel's function has a greater rate ofchange than Ryan's function indicating that Daniel can pack more boxes per hour.0.The number of boxes that can be packed by Ryan and Daniel each decreases over time. Daniel's function has a greater rate ofchange than Ryan's function, indicating that Daniel can pack fewer boxes per hour.OC.The number of boxes that can be packed by Ryan and Daniel each increases over time. Ryan's function has a greater rate ofchange than Daniel's function, indicating that Ryan can pack more boxes per hour.The number of boxes that can be packed by Ryan and Daniel each decreases over time. Ryan's function has a greater rate ofchange than Daniel's function, indicating that Ryan can pack fewer boxes per hour.OD.10ResetSubmitSubmit8 of 10 AnsweredSession Timer: 21:09Session Score: 38% (318)- 15 The grocery store has 2 1/3 times as many cashiers in late afternoon than in the morning. If there are 21 cashiers at 10:00 am, how many would there be at 4:00 pm? Cmo se llama lo que queda delimitado por la sangra y el punto aparte? What do you have to pay attention to when it comes to the nuances of words as a reader?(1 point) the context the metaphors the audience the definitions misdemeanors do not use a pre-trial hearing or grand jury.?A.trueB.false what are feminism causes? Please answer this :/ This question has two parts. First, answer Part A. Then, answer Part B. Part A Pete is making 8 identical fruit baskets as gifts. Each basket contains some apples and 12 oranges. Pete uses a total of 168 pieces of fruit to make the baskets. Which equation can be used to determine the number of apples, a, that are in each basket? Multiple choice question. what kind of flower is this? Branliest to correct answer explain how you solved it please Find b and c so that y =2x^2 + bx+c has vertex (0,-2)b=C= What is the fractional equivalent of 1.37? Which statement describes the viewpoint of Creon in Antigone? A Creon likes to use cruel punishments for their own sake.B Creon believes in using any means necessary to secure peace in his kingdom.C Creon reveres the input of his advisors, both old and young.D Creon has never liked Antigone and is happy when she dies. A scientist began a study with a sample of 1,500 bacteria. He noticed thatthe number of bacteria in the sample after t days can be modeled by theequation P=1,500.5. In this equation, what does 5t represent?A. The number of bacteria increases by a factor of t each day for 5 days.B. The number of bacteria increases by t bacteria after 5 days.C. The number of bacteria increases by 5 bacteria each day.D. The number of bacteria increases by a factor of 5 each day. In the early 1900s, primary elections were adopted in most states. In primary elections, political candidates are selected by whom? A reaction occurs when a compound breaks down. This reaction has one reactant and two or more products. Energy, as from a battery, is usually needed to break the compound apart. Noah has $5.1.a.Elena has 40% as much as Noah. How much does Elena have?b.Compare Elena's and Noah's money using fractions. Draw a diagram toillustrate. It is estimated that the world human population reached 3 billion people in 1959 and 6 billion in 1999. Assuming a carrying capacity of 16 billion humans, write and solve the differential equation for Gompertz growth, and determine what year the population reached 7 billion. Was logistic growth or Gompertz growth more accurate, considering world population reached 7 billion on October 31,2011 Write an email in which you list things to do or places to go in your townBe sure to write your response in Spanish Plz hurry, 80 points!