Need help solving this linear equation

Need Help Solving This Linear Equation

Answers

Answer 1

Answer: (-4, -7)

Step-by-step explanation: To solve this system of equations, we can use the substitution method.

To solve a system by substitution, we first need to isolate one of our variables. The problem is none of our variables has a coefficient of 1 or -1. In this situation, we have to look at our next best option.

In our first equation, add 2x to both sides to get

2y = -6 + 2x and just divide both sides by 2 to get y = -3 + x.

Now let's plug this value of y into our second equation.

So we have 3x + 7(-3 + x) = -61.

Simplifying from here:

3x - 21 + 7x = -61

10x - 21 = -61

10x = -40

x = -4

Since we know that x = -4, we can just plug a -4 into our equation that we created earlier to get y = -3 + (-4) or y = -7.

Since x = -4 and y = -7, our answer is the ordered pair (-4, -7).


Related Questions

3x(x+6)=-10

Please explain how to solve!

Answers

Answer:

just look at picture

Step-by-step explanation:

Hope this helps :)


Shapes A and B are similar.

a) Calculate the scale factor from shape A to shape B.

b) Find the value of w.

Give each answer as an integer or as a fraction in its simplest form.

Answers

The ratio is 3:4

From this:

7(3/4)= 21/4

This is because we multiple the ratio with one of the side to get from a to b.

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The scale factor from shape A to shape B is 0.75 with w = 5.25 cm.

What is scale factor?

The size by which the shape is enlarged or reduced is called as its scale factor.

Scale factor from shape A to shape B = [tex]\frac{3}{4}[/tex] = 0.75

It can be calculated by dividing the length of one side of the polygon to the corresponding side of the similar polygon. Keep the length of the side of the original figure in denominator and length of the side of the transformed figure in the numerator.

Calculating w.

[tex]\frac{w}{7} = 0.75\\\\w = 7 * 0.75 = 5.25[/tex]

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2. In a random sample of 87 college students, the average number of GroupMe messages handled in
one day is 49. The 95% confidence interval for the mean number of messages handled by students
daily is given as 47 to 51.
a. What is the population standard deviation of the sample?
b. If the number of samples were doubled, by what factor would the confidence interval change
(keeping the same confidence level?)

Answers

We have that the population standard deviation and  confidence interval is mathematically given as

SD=1

W = 2.8284

Standard deviation and the new width

a) Generally, normal distribution 95% of the values lies within 2 standard deviations from the mean.

Therefore, we have here:

2*2SD = 51 - 47

2*2SD

SD=1

Hence, the standard deviation is

SD=1

b)

Where,the margin of error is inversely proportional to the square root of sample size.

1 / sqrt{2}

Hence, the new width is

1 / sqrt{2}[tex]1 \ sqrt{2}[/tex]

W = 2.8284

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if f(x) = ax + b where a and b are Costants f(1) = 6and f(-2)=3, find the value of a and b?​

Answers

Answer:

a = 1

b = 5

⇒ f(x) = x + 5

Step-by-step explanation:

Given

f(x) = ax + bf(1) = 6f(-2) = 3

Therefore,

f(1) = 6    ⇒   a + b = 6

f(-2) = 3   ⇒   -2a + b = 3

Rewrite a + b = 6 to make a the subject, substitute into  -2a + b = 3  and solve for b:

a = 6 - b

⇒ -2(6 - b) + b = 3

⇒ -12 + 2b + b = 3

⇒ -12 + 3b = 3

⇒  3b = 15

⇒  b = 5

Substitute found value for b into  a + b = 6  and solve for a:

⇒ a + 5 = 6

⇒ a = 1

Therefore, f(x) = x + 5

АВС аnd
APQR are similar. Find the missing side length.

Answers

The missing side length is 7
Because the triangle is quadrupled so you divide 28 by 4

1 and 5/8 divided by 1/3

Answers

Answer:

15

Step-by-step explanation:

15

1 5/8 divided 1/3

first change 1 5/8 into a improper fraction which is 40/8

40/8 divided by 1/3
Keep Change Flip
40/8 divided by 3/1
40/8 x 3/1 = 120/8 simplify by 4 then you get 30/2 simplify again and you get 15/1 which is 15
i hope this is right

Answer:

4 and 7/8 (or as a decimal: 4.875)

Step-by-step explanation:

(Important:) Okay, so before we solve this problem we need to know the "dividing fraction rules." When you are dividing fractions, you need to remember that the second fraction is flipped and the sign goes from being a division symbol to being a multiplication symbol. It may sound confusing, but I'll explain as we go on.

First, let's turn that 1 and 5/8 into an improper fraction so that this is easier to solve. Multiply the denominator by the whole number, then add the numerator. Keep the same denominator (8 in 1 and 5/8), but place your new numerator on top instead.

1 and 5/8 = 13/8.

Now we can go through the steps of the dividing process. Flip the second fraction in the equation. Doing this changes the symbol to a multiplication symbol.

13  x  3

8  x   1

Now multiply across.

13 x 3 = 39

8 x  1 =  8

This question does not ask for an improper fraction, so let's reduce this fraction down to a mixed number and decimal.

Mixed number: 39/8 = 4 and 7/8.

Decimal: 4.875.

I hope that this helps.

please help worth 100 pts

Answers

Answer:

the first one is  x=20. the second one is x=31.33 cm.

Step-by-step explanation:

1. x=20

2. x=31.33 cm

Hope this helps!!! :)

if x-3 is a factor of 2x^k - 3 x^(k-1) +4x -39 find the value of k.​

Answers

Explanation:
5 more than 5 = 10

5 + x = 10

Subtract 5 from each side of the equation: x = 5 → 2x = 10

Brainliest if correct

Answers

Answer:

Multiply 4 x 2 and the add the P in the front like this:

P = 8

HOPE IT HELPS, BE SAFE :3

Answer:

256

Step-by-step explanation:

Since p = 8

4(8)^2

[RevyBreeze]

1. integers less than or equal to +5 but greater than -5
2. negative integers greater than -8 but less than +10​

Answers

[tex] \tt\huge Answer \to[/tex]

5 , 4 , 3 , 2 , 1 , 0 , - 1 , -2 ,-3 , -4

-7, -6 , -5, -4 , -3 , -2 , -1

h(x)=x³+2x+5 what's the domain and the range?

Answers

Domain and range are both (−∞ , ∞)
,

Education researchers are interested in the workload expectations of freshmen at a local university. Which of the
following techniques would give a stratified random sample?
Randomly select 10 freshmen from each of the majors at the university
Randomly select 10 freshmen from the cafeteria on each of the 5 days of the first school week.
Randomly select 1 professor at the university and have them survey all of their freshman students.
Survey the students in some randomly selected freshman seminar classes, since freshmen are randomly put into
those classes

Answers

Answer:

A: Randomly select 10 freshmen from each of the majors at the university.

Step-by-step explanation:

This is because stratified random sampling is taking a population and dividing them into subpopulations. So, majors would be the best way to divide up college freshmen into different subsections to survey them about their workloads because each major would have a different answer and result.

The techniques to give a stratified random sample would be A: Randomly select 10 freshmen from each of the majors at the university.

What is simple random sampling?

If the sampling is done from the population randomly, without any other rule, then such sampling is called simple random sampling. Items are selected in a fixed size, all randomly.

The best sampling is simple random sampling, as it is randomly picking data values from the population.

Stratified random sampling it is taking a population and dividing them into subpopulations.

The majors would be the best way to divide up college freshmen into different subsections to survey them about their workloads because each major would have a different result.

The techniques to give a stratified random sample would be A: Randomly select 10 freshmen from each of the majors at the university.

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The perimeter of a rectangle is 52 cm. If its width is 2 cm more than one-third of its length, find the dimensions of rectangle.

(A) 12 cm x 4 cm (B) 18 cm x 8 cm (C) 15 cm x 9 cm

Answers

Answer:

(B) 18 cm x 8 cm

Step-by-step explanation:

let the length be x,

then the width is [tex]\frac{1}{3}[/tex]x + 2

2( [tex]\frac{1}{3}[/tex]x + 2 + x ) = 52

[tex]\frac{1}{3}[/tex]x + 2 + x  = 26

[tex]\frac{4}{3} x[/tex] = 24

x = (24*3)/4

x = 18

then the length is 18 cm

and width is (1/3)*18 + 2 = 8

Therefore the dimensions are length:width = 18 cm : 8 cm

Answer:

(B) 18cm x 8cm

Step-by-step explanation:

Perimeter of a rectangle  =  52 cm

2(length + width)  =  52 ==>  l + w  =  26

Let x be the length

width  =  (x/3) + 2

x + (x/3) + 2  =  26

[(3x + x)/3]  + 2 =  26

4x / 3  =  24

4x  =  24 (3)

x  =  6(3) ==>  18 cm

Width  =  (18/3) + 2

=  6 + 2  =  8 cm

So, the required dimension is 18 cm x 8 cm.

The Rose garden is formed by joining the rectangle in the semicirculation below the rectangle is 22 ft long and 18 ft wide if the gardener wants to build a fence around the garden how many feet of fences required

Answers

First, let's find the area of the rectangle.We know that the area of a rectangle is the length times width, or  20⋅32in this example:20⋅32=640So the area of the rectangle is  640ft2.You may not know the area of a semicircle, but that's fine  −we know the area of a circle, or  πr2.Since the area of a semicircle is half the area of a circle, we just do the area of the circle divided by  2:So the area of a semicircle is  πr22.The question asks for  πto just be  3.14, so instead the equation is  A=3.14r22The picture gives the diameter of the circle.To find the radius, or  r, we divide the diameter by  2:202=10Now we can solve for the area of the semicircle:3.14(10)223.14(100)23142157ft2Now that we now the areas of the rectangle and semicircle, we can add them up to find the area of the rose garden:640+157=797ft2

HELPP! i don’t know this

Answers

Answer: A

Step-by-step explanation:

Using the 3D Pythagorean theorem, [tex]AB=\sqrt(6^2 + 4^2 + 1^2)=\sqrt(53)[/tex]

Random Question
Mr Sire purchases a bicycle for $163.62. How much cash will he need to pay?

Answers

$163.62 because it only says a which means one so he payed $163.62

A class consists of 15 boys of whom 5 are prefects.
a) How many committees of 8 can be formed if each consists of exactly 2 prefects?

Answers

there would only be one committee of eight, because there is only 15 boys if you add it up 7 + 8= 15 you do not have enough boys to form more than one committee there will be seven boys left out three of which are perfect

Help PLEASEEE!!!
Given that AC=30, AB=5x-21, BC=3y+4, CD=2x-3, and DA=4x+1, find the indicated variables for each question. Find the value of x, y, z.

Answers

Answer:

x = 6

y = 7

z = 23

Step-by-step explanation:

ÀC = z + 7

30 = z + 7

30 - 7 = z

z = 23

2x - 3 = 5x - 21

21 - 3 = 5x -2x

18 = 3x

x = 18÷3

x = 6

4x + 1 = 3y + 4

4(6) + 1 = 3y + 4

25 = 3y + 4

3y = 25 - 4

y = 21 ÷ 3

y = 7

please mark as brainliest i appreciate so much

Solve the following inequality. Then place the correct answer in the box provided. Answer in terms of an mixed number. 8P + 2 > 3P - 15

Answers

Answer:

8p+2 3p-15-2  

                                                                                                         5->-17  

   

                                                                                                                  p>-17/15

Step-by-step explanation:

Helppp pleaseeee 10 points

Answers

Answer:

x ≥ 3

Step-by-step explanation:

Solve for x by dividing both sides by -7. When dividing by a negative, you have to flip the inequality.

-7x ≤ -21

-7x/-7 ≤ -21/-7

x ≥ 3

Since it is greater than or equal to, put a closed circle over 3 with the arrow going right -------->

3x+3x+3x+3x+4x

what is the measure of vertex A

Answers

Answer:

16x

Step-by-step explanation:

just sum all of it friend π - π

the awnser is 16x duh that's easy how do u not know


Find the value of k for which the line y = kx + 6 is a tangent to the curve x^2 + y^2 – 10x + 8y = 84

Answers

Answer:

k = 1/2

Step-by-step explanation:

input y = kx +6 into the equation of the curve x² + – 10x + 8y = 84

x² + (kx + 6)² - 10x + 8(kx + 6) = 84

expand:

x² + k²x² + 12kx + 36 - 10x + 8kx + 48 = 84

simplify by collecting like terms:

x² + k²x² + 20kx - 10x + 84 = 84

subtract 84 on both sides to bring it to the left:

x² + k²x² + 20kx - 10x + 84 - 84 = 0

x² + k²x² + 20kx - 10x = 0

factorise out x:

(1 + k²) + x(20k - 10) = 0

using the discriminant b² - 4ac where b is 20k - 10, a is 1 + k² and c is 0, substitute them in the formula b² - 4ac:

b² - 4ac

(20k - 10)² - 4(1 + k²)(0) = 0

the part highlighted in bold is gone because it's all multiplied by 0, so we are left with (20k - 10)² = 0

(20k - 10)² is the same as

(20k - 10)(20k - 10)

equate both to 0

20k - 10 = 0 and 20k - 10 = 0

add 10 on both sides

20k = 10 and 20k = 10

divide 20 on both sides

k = 10/20 and k = 10/20 which are both the same

10/20 is simplified to 1/2

k = 1/2

- What is the measure of the external angle which is marked in yellow?

A 156 degrees
B 24 degrees
C 145 degrees
D 53 degrees

Answers

Answer:

the measure of the external angle which is marked by yellow is 156 degrees

Which of the following is equivalent to 4 square root of 12 minus square root of 27 plus 5 square root of 3?

Answers

Answer:

The answer is 10 square root of 3

Step-by-step explanation:

Hope this helps!

II. UNKNOWN VALUE. Solve for the measure of the unknown angles in parallel lines cut by transversal

I need it asap

Answer it for 10 points

Answers

#1-Angle W= 37 because of alt int angles
Angle V= 143 because they are consecutive

#2- angle A=129 because they are alt int angles
Angle =129 because they are vertical angles


#3-angle H = 54 because they are alt int
Angle G=126 because they are consecutive

#4- Angle P =99
Angle R=99
Angle Q=81

#5- Angle X=46
Angle Y =134
Angle Z=134

#6- Angle O=122
Angle V=121
Angle E=59
Angle I=58


can someone pls look at the recent questions on my page.

Answers

Answer:

sure I will

Step-by-step explanation:

please give brainiest

Answer:

where is your pic can you post

29. Find CD.
30. Find ZV.

Answers

Answer:

for cd it's 12 I believe fs

A stack of books is 24 inches high.
Each book in the stack is 3/4 inch thick
How many books are in the stack?

Answers

Answer:

32

Step-by-step explanation:

Let's say n such books make up the stack.

If each book is 3/4 inch thick, it contributes 3/4 to the total height of the stack – 24 inches.

==> number of books × 3/4 = 24

(to get this result add the heights of n such book, and equate it to 24. You'll get something like:

3/4 + 3/4 +. . . . n times = 24

And that's what's meant by 3/4 × n = 24)

==> n × 3/4 = 24

multiply both sides by 4

==> n × 3 = 24 × 4

divide both sides by 3

==> n = (24 × 4)/3

==> n = 8 × 4

==> n = 32

We assumed the number of books to be n.

so the answer is:

32 books, each if height 3/4 inch, are required to build a stack 24 inches high.

Felicia pours juice from a carton into a glass. Every time she fills the glass, the amount of juice in the carton changes by −0.44 L. She fills her glass 2 3/4 times in all. Bernadette has a different carton of juice that is the same size. Every time she fills her glass, the amount of juice in her carton changes by −0.42 L. She fills her glass 2 2/3 times in all. Who has the greater total change in the amount of juice in their carton? Show your work. Explain your reasoning.

Answers

Felicia has the greater total change

Felicia
(-0.44L)•11/4=-121/100

Bernadette
(-0.42L)•8/4=-84/100

Simplify -3(9+2z).Simplify this expression and I will give you virtual points.

Answers

Answer:

  -27 -6z

Step-by-step explanation:

"Simplify" in this context means "eliminate parentheses." You do that by making use of the distributive property. The factor -3 outside the parentheses multiplies each term inside parentheses.

  -3(9 +2z)

  = -3(9) +(-3)(2z)

  = -27 -6z

Hey there!

-3(9 + 2z)

= -3(9) - 3(2z)

= -27 - 6z

= -6z - 27


Therefore, your answer is: -6z - 27


Good luck on your assignment & enjoy your day!


~Amphitrite1040:)

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