How to solve systems of linear equations step by step?

Answers

Answer 1
yr5ty4yuu5yu5yu56hyu46u4t5u46h6

Related Questions

How do you find the width of a rectangle when the perimeter is given?

Answers

Usually you are given more information about the rectangle such as distance of length in terms of width.

You know that the formula for perimeter is

P=2(l+w)

Substitute p and the other values to find width.

Hope I helped :)

i need help solving this problem. i have been stuck on it for hours. please help
Solve each system by elimination:
9a-3d=3
-3a+d=-1

Answers

so, the idea behind the elimination is that, you multiply either or both equations by some factor, so that one variable, get a negative twin, and then the twins cancel each other... so... let's do so by multiplying the bottom equation by 3, so we end up with "3d" at the bottom and -3d + 3d zaps each other.

[tex]\bf \begin{array}{lllllll} 9a-3d=3&&~~~9a\underline{-3d}=3\\ -3a+d=-1\implies &\boxed{\times 3}\implies &-9a\underline{+3d}=-3\\ &&--------\\ &&~~0~+~~0 = 0 \end{array}[/tex]

holy macaroni, all the values went kaput.... so, what's cooking?

well, it turns out that, the top equation is really the bottom equation in disguise, so both equations are really twins, and therefore they have infinitely many solutions, not just one solution.

graph wise, if you graph one and graph the other, what will occur is that, one will be pancaked on top of the other, and so every single point in the graph is solution.

Which property is x ( y + z) = xy + xz

Answers

Distributive property.

Solve each equation. Leave the answer as an improper fraction. 16x2 = 49

Answers

32x = 49
x = 49/32
Now since u said improper lets make 49/32 to mixed first, then improper
Lets divide 32 and 49 and we get 1 with a remainder of 17 
1 17/32
Now that's the mixed fraction, so now lets lastly make it improper 
1 * 32 + 17
--------------
32

 The answer is 49/32

Answer:

[tex]x= +-\frac{7}{4}[/tex]

Step-by-step explanation:

[tex]16x^2= 49[/tex]

Solve the equation for x

To solve the equation , we need to isolate x

To get x alone , we need to remove the numbers attached with x

To remove 16 we divide both sides by 16

[tex]x^2 = \frac{49}{16}[/tex]

Now to remove square from x we take square root on both sides

[tex]\sqrt{x^2} = \sqrt{\frac{49}{16}}[/tex]

square root (49) = 7

square root (16)= 4

So , [tex]x= +-\frac{7}{4}[/tex]

When we take square root we include +-

What is one point on a graph for the equation y=-3x-1 and how do we substitute it?

Answers

use the slope intercept equation to find the slope and the y intercept

y = mx-b

m = slope

b = y intercept

m is the number before the x so -3 is the slope

 and -1 is the y intercept

 so a point on the graph would be the y intercept at (0,-1)

Lisa earns $8.10 an hour and worked 40 hours. Jamie earns $10.80 an hour. How many hours would Jamie need to work to equal Lisa’s earnings over 40 hours

Answers

30 hours is how much she would work

Answer:

it takes 30 hours for Jamie to equal Lisa's earnings

Step-by-step explanation:

Lisa earns $8.10 an hour and worked 40 hours.

Total amount Lisa earns = rate times hours

Total amount Lisa earns =[tex]8.10 \cdot 40=324[/tex]

Jamie earns $10.80 an hour

LEt 'n' be the number of hours Jamie works

Total amount Jamie earns =[tex]10.80 \cdot n=10.80n[/tex]

we need to find out 'n' when Jamie earnings is equal to Lisa earnings

[tex]10.80n= 324[/tex]

Divide by 10.80 on both sides

n= 30

So it takes 30 hours for Jamie to equal Lisa's earnings

Scott earns 16.85 per hour at his job. He works 7 hour per day , 4 days per week. What Scott's gross income in 4 weeks

Answers

Scott's gross income in 4 weeks, rounded to the nearest cent, is $1887.20.

Calculate Scott's daily earnings:

  Scott earns $16.85 per hour, and he works for 7 hours per day.

  Daily earnings = $16.85/hour × 7 hours = $117.95

Calculate Scott's weekly earnings:

  Scott works 4 days per week.

  Weekly earnings = Daily earnings × Number of days worked per week

                  = $117.95/day × 4 days/week

                  = $471.80

Calculate Scott's gross income for 4 weeks:

  Scott works for 4 weeks.

  Gross income for 4 weeks = Weekly earnings × Number of weeks

                            = $471.80/week × 4 weeks

                            = $1887.20

However, we need to ensure the precision of the final answer. As currency involves cents, it's important to round appropriately.

Since we're dealing with money, we'll round to the nearest cent.

After rounding, the gross income for 4 weeks is $1887.20.

A line has a slope of -4/5. Which ordered pairs could be points on a line that is perpendicular to this line? Check all that apply.

(–2, 0) and (2, 5)
(–4, 5) and (4, –5)
(–3, 4) and (2, 0)
(1, –1) and (6, –5)
(2, –1) and (10, 9)

Answers

Answer:

Options A and Option E.

Step-by-step explanation:

A line has a slope of -4/5. Now a line perpendicular to this line will have the slope as [tex]m_{1}.m_{2}=-1[/tex]

Therefore [tex]m_{2}=-\frac{1}{m_{1}}=\frac{1}{\frac{4}{5} }=\frac{5}{4}[/tex]

Now we will find the slope with the help of points given in the options if they lie on the perpendicular line.

A). [tex]m=\frac{5-0}{2+2}=\frac{5}{4}[/tex]

B). [tex]m=\frac{-5-5}{4+4}=\frac{-10}{8}=-\frac{5}{4}[/tex]

C). [tex]m=\frac{0-4}{2+3}=-\frac{4}{5}[/tex]

D). [tex]m=\frac{-5+1}{6-1}=\frac{-4}{5}=-\frac{4}{5}[/tex]

E). [tex]m=\frac{9+1}{10-2}=\frac{10}{8}=\frac{5}{4}[/tex]

Options A and E are the correct options.

Translate the following word phrase into an algebraic expression.
" The product of 8 and a number increased by 2"
A. 8x-2
B. 8(x+2)
C. 8x+2
D. x÷8+2

Answers

The answer is C.

You are multiplying 8 and a number, x, and adding 2, as the word phrase states.

Hope this is helpful!!

Can Anyone Help Me

Real-world problems that have more than one answer can be described by relations.

A. True
B. False

Answers

The answer is A.) True

Line p passes through A(-2, -4) and has a slope of 1/2 What is the standard form of the equation for line p?

Answers

point slope form is y-(-4) = 1/2(x-(-2)

y+4 =1/2 (x+2)

now the standard form 2y+8=x+2
so -x+2y=-6 is the equation for line p in standard form

What value of c makes x2 − 12x + c a perfect square trinomial? −36 −24 24 36

Answers

Take half of the middle coefficient.
Then square it.

-12/2 = -6

(-6)^2 = 36

c = 36

Answer: The value of c must be 36 to make it perfect square trinomial.

Explanation:

A standard perfect square trinomial is [tex]x^2+2ax+a^2=(x+a)^2[/tex] where [tex]a^2[/tex] is the constant term.

Given trinomial [tex]x^2-12x+c=x^2+2(-6)a+c[/tex]

On comparing with standard perfect square trinomial we get a=-6

Therefore the constant term c=[tex]a^2=(-6)^2=36[/tex]

Such that the trinomial becomes [tex]x^2-12x+36=x^2+2(-6)x+(-6)^2=(x-6)^2[/tex] a perfect square trinomial.

Hence the value of c for the given trinomial must be 36 to make it perfect square trinomial.

what is the slope of the line

Answers

Using the coordinates (-2, 0) and (0, -2) in the form y1 - y2/x1 - x2 we get:
0 - -2/-2 - 0, which simplifies to 2/-2. The slope is -1.
Hope this helps.

when adding 3 and -9, how do you know that the sun is negative?

Answers

Since the absolute value of the negative number is greater than the positive number, the sum is negative.

Hope this helps!

Find the sum of the first 17 terms of the arithmetic sequence 10, 14, 18, 22, 26...

Answers

Your answer is 10+14+18+22+26+30+34+38+42+46+50+54+58+62+66+70+74=714

convert the Dimensional Analysis Problem Convert 12 days into seconds Will GIVE BRAINIEST!

Answers

The answer is 1036800 seconds. 

12 days

12X24= 288 HRS

288X60=17280 MINS

17280X60=1036800 SECONDS

From a team of five students, you choose two students at random without replacement. Calculate the probability that the first student selected is the team leader and the second is the assistant team leader. Please show all work!!

Answers

I would believe that it would be a 1/5 chance for the team leader then a 1/4 chance for the assistant leader since one person is already the leader and can't be both.

Answer:

1/20

Step-by-step explanation:

1/4*1/5=1/20

Can someone please help. Will you graph the functions and approximate an x-value in which the exponential function surpasses the polynomial function. In your final answer, include a copy of the graph.
y = 2x^2 + 7
y = 5^(x-4)

Answers

The best way to solve this is to simply graph both functions in excel or on paper up to an x value of  about10. I have done this in excel and can demonstrate that the exponential function surpasses the polynomial function at about x = 8. You can quickly prove this by substituting x = 8 into both equations. It is very apparent from the graph attached.


Answer:

paying a price to keep Mowgli alive would b ur answer

Step-by-step explanation:

While hiking, Emily recorded that she climbed 125 feet, descended 31 feet to find a new trail and then went 145 feet further up the mountain to end her hike. How far up the mountain was Emily when she stopped climbing for the day

Answers

125 - 31 + 145 = 239
Emily walked 239 feet up the mountain

Gail lives in Kentucky and pays 6% in sales tax. She just bought $165 in groceries, but $80 worth of those groceries were nontaxable. What is the total amount that Gail paid for the groceries, including sales tax?

A.$165.99
B.$170.10
C.$165.51
D.$174.90

HELPPPPPP ME

Answers

Answer:

Option B. $170.10

Step-by-step explanation:

Gail bought groceries worth = $165.00

She gets rebate of taxes on the amount = $80.00

She has to pay tax on = 165 - 80 = $85.00

In her state sales tax are = 6%

So her tax on groceries  = 6% of 85 = 0.06 × 85 = $5.10

Now she paid total amount = 165 + 5.10 = $170.10

Gail paid $170.10 for the groceries, including sale tax

Option B. $170.10

what is the approximate circumference of the circle shown below

Answers

The simplest formula for circumference is pi times the diameter. To find the diameter, multiply 20.5 by 2, which is 41. Then, multiply 41 by pi to get the circumference (128.80529...). Round that number and you get the approximate circumference of 129 cm. Hope this helps!

The correct option is [tex]\boxed{\bf option A}[/tex] i.e, [tex]\boxed{\bf 129\text{ cm}}[/tex].

Further explanation:

A circle is the set of all points on a plane whose distance from a fixed point is constant.

There are infinite points on the circle and distance of these points from the center of circle is always constant.

The distance from the center of the circle to any point on the circle is called as radius of the circle.

The circumference is the length of the circle and the formula of the circumference [tex]C[/tex] for the circle is as follows:

[tex]\boxed{C=2\pi r}[/tex]  …… (1)

Here, [tex]r[/tex] is the radius of the circle and the value of [tex]\pi[/tex] is approximately equal to [tex]3.14[/tex].

The formula of the circumference for circle is terms of diameter is as follows:

[tex]\boxed{C=d\pi}[/tex]

Here, [tex]d[/tex] is the diameter of the circle.

The relationship between diameter and the radius is as follows:

[tex]\boxed{d=2r}[/tex].

From attached Figure 1 it is observed that the radius of the circle is [tex]20.5\text{ cm}[/tex].

 

Substitute [tex]r=20.5[/tex] in the equation (1) to obtain the value of circumference [tex]C[/tex] as follows:

[tex]\begin{aligned}C&=2\pi r\\&=2\cdot 3.14 \cdot 20.5\\&=128.74\\ &\approx129\end{aligned}[/tex]

Therefore, the circumference of the circle is [tex]\boxed{\bf 129\text{\bf cm}}[/tex].

Thus, the correct option is [tex]\boxed{\bf option A}[/tex].

Learn more:

1. Learn more about circle https://brainly.com/question/1952668

2. Learn more about radius of circle https://brainly.com/question/1506955

Answer details:

Grade: Middle school

Subject: Mathematics

Chapter: Circle

Keywords:  Circle, radius of a circle, point, distance, diameter, circumference, d=2r, C=2pir, 129. centimeter, locus of circle, approximate, value, shown below.

Pam buys a shirt that costs $11.99 , pants that cost $23.98 , and a belt that costs $9.95 she has a coupon for 20% off the entire purchase. about how much will the three items cost ?

Answers

pam will pay $29.60 on the entire purchase

its $36.74 
you save $9.18

A professional baseball team won 84 games.The team won 14 more games than it lost.There were no ties.How many games did the team lose?How many did it play?

Answers

Hello There!

Games won = 84
Games lost = 84 - 14
Games lost = 70
Total games played = games lost + games lost
Total games played = 84 + 70
Total games played = 154.

They played 154 games and lost 70 games.

Hope This Helps You!
Good Luck :) 

- Hannah ❤

What is the value of x?

enter your answer in the box


x = [ ]

Answers

Attached the solution. It is important to know the 30-60-90 and 45-45-90 special right triangles.

Answer:

[tex]x=4[/tex]

Step-by-step explanation:

We have been given an image of two right triangles and we asked to find the value of x.

First of all , we will find the length of segment RT using sine.

[tex]\text{Sin}=\frac{\text{Opposite}}{\text{Hypotenuse}}[/tex]

Upon substituting our given values in above formula we will get,

[tex]\text{Sin}(60^{\circ})=\frac{2\sqrt{3}}{RT}[/tex]

[tex]RT=\frac{2\sqrt{3}}{\text{Sin}(60^{\circ})}[/tex]

[tex]RT=\frac{2\sqrt{3}}{\frac{\sqrt{3}}{2}}[/tex]

[tex]RT=\frac{2\sqrt{3}}{\sqrt{3}}\times 2[/tex]

[tex]RT=2\times 2[/tex]

[tex]RT=4[/tex]

Now we know that length of segment RT and angle QRT of triangle QRT, so we will use tangent to find the length of segment QR (x) as:

[tex]\text{tan}=\frac{\text{Opposite}}{\text{Adjacent}}[/tex]

[tex]\text{tan}(45^{\circ})=\frac{x}{4}[/tex]

Multiplying both sides of our equation by 4 we will get,

[tex]\text{tan}(45^{\circ})*4=\frac{x}{4}*4[/tex]

[tex]\text{tan}(45^{\circ})*4=x[/tex]

Substituting [tex]\text{tan}(45^{\circ})=1[/tex] we will get,

[tex]1*4=x[/tex]

[tex]4=x[/tex]

Therefore, the value of x is 4 units.

One linear function, t(x), can be modeled by the values in the table below. A second linear function can be modeled by the equation 4x − y + 4 = 0. When comparing the x-intercepts of these lines, which function has the largest x-intercept and what is this value?


x t(x)
−3 0
0 −4
3 −8
6 −12
9 −16

t(x) has the largest x-intercept: −4.
4x − y + 4 = 0 has the largest x-intercept: −1.
t(x) has the largest x-intercept: −3.
4x − y + 4 = 0 has the largest x-intercept: 4.

Answers

We know from table that x intercept (when y or t(x) is 0) is -3

next we can move over the -y from the given equation

y = 4+ 4x

solving for when y is 0

0 = 4 + 4x
-4 = 4x
x=-1

Thus the first equation has larger intercept of -1

Answer:

a

Step-by-step explanation:

Please answer this question will mark as brainliest and 15 points

Answers

Your answer would be A Because Plus or minus 6 If you subtract 6 from 690 you get 684 and if you add 6 you get 696. Plus the number of golf balls has to equal 684 or higher and 696 or lower.

690-6 = 684

690+6 = 696

 the answer is A

There are two positive numbers. four times the small number plus 3 times the big number is 41. two times the small number plus the big number is 15. what is 10 times the big number minus 6 times the small number;

Answers

the small number is 2 the large number is 11.
4(2)+11(3)=41
2(2)+11=15
11(10) -2(6) = 98


hope that helps

Final answer:

To find the value of 10 times the big number minus 6 times the small number, we need to solve a system of equations. The solution to the system is x = 2 and y = 11, so the value of 10y - 6x is 98.

Explanation:

To find the value of 10 times the big number minus 6 times the small number, we need to solve the system of equations:

4x + 3y = 41 (equation 1)

2x + y = 15 (equation 2)

We can first solve equation 2 for y by subtracting 2x from both sides: y = 15 - 2x. Now we can substitute this value of y into equation 1:

4x + 3(15 - 2x) = 41

Simplifying, we get: 4x + 45 - 6x = 41

Combining like terms, we have: -2x + 45 = 41

Subtracting 45 from both sides, we get: -2x = -4

Dividing both sides by -2, we get: x = 2

Now we can substitute this value of x back into equation 2 to solve for y:

2(2) + y = 15

Simplifying, we get: 4 + y = 15

Subtracting 4 from both sides, we get: y = 11

Finally, we can calculate 10 times the big number minus 6 times the small number:

10y - 6x = 10(11) - 6(2) = 110 - 12 = 98

You learned from your science teacher that water expands when you freeze it. The next time you freeze your water bottle, you leave room for the water to expand, avoiding the cracking of the bottle.

What kind of reasoning did you use?

Question 6 options:

deductive


geometric reasoning

inductive

Answers

I believe your answer would be deductive. Hope this helps!

Is 7/35 and 35/70 proportional?

Answers

No, they are not proportional.

What is the equation of a line that is parallel to 2x+3y=3 and passes through the point (3, −4) ? Enter your answer in the box.

Answers

3y=-2x+3
y=-2/3x+3/3
y=-2/3x+1
compare y=mx+c
m=-2/3
for parallelism m=M
so M=-2/3

now eqn for (3,-4)
is given by y-(-4)/x-3 = -2/3
y+4/x-3=-2/3
3(y+4)=-2(x-3)
3y+12=-2x+6
3y+2x+12-6=0
3y+2x+6=0
or
3y+2x=-6

Final answer:

The equation of the line that is parallel to 2x+3y=3 and passes through the point (3, −4) is y = −(2/3)x − 2. We found this by first converting the given line into slope-intercept form to find the slope, and then using the point-slope form with the given point.

Explanation:

To find the equation of the line that is parallel to 2x+3y=3 and passes through the point (3, −4), we first need to determine the slope of the given line. The equation of a line in slope-intercept form is y = mx + b, where m represents the slope. We can rewrite the given equation in slope-intercept form by isolating y:

2x + 3y = 3

3y = −2x + 3

y = −(2/3)x + 1

This shows that the slope (m) of the given line is −(2/3). Since parallel lines have the same slope, the slope of the new line will also be −(2/3). Now we use the point-slope form of a line which is y − y1 = m(x − x1), where (x1,y1) is a point on the line. Plugging in the given point (3, −4) and the slope −(2/3), we get:

y − (−4) = −(2/3)(x − 3)

Distributing the slope on the right side and moving −4 to the other side gives us the final equation:

y = −(2/3)x + 2 + −4

y = −(2/3)x − 2

This is the equation of the line that is parallel to 2x+3y=3 and passes through the point (3, −4).

Other Questions
According to the disk instability model, chunks of ______ and ______ compacted together early in the life of the solar system. rock and ice gas and du In "The Tiger Rising". How did Sistine get her name?A. Her parents picked her name out of a book.B. It was her great grandmother's name.C. Her parents saw the Sistine Chapel in an art book.D. Her parents met at the Sistine Chapel. Use an algebraic rule to describe a translation right 4 units and down 2 units. Who kept detailed notes during the Constitutional Convention, which have provided us with information about what happened during the meetings? In which two ways did the spread of Enlightenment thought contribute to the French Revolution?1. Enlightenment ideas made the people increasingly rigid in their values and mindset.2. Enlightenment thinkers ideas influenced prominent revolutionaries to act.3. Enlightenment thoughts introduced people to other forms of government such as popular sovereignty.4. Enlightenment concepts urged people to discover creative ways to win government privileges.5. Enlightenment professors inspired students to cultivate a rebellious and revolutionary spirit. Which form of the word volume would be best used in the sentence below? This substance is far too _______ to be suitable for use in this particular experiment. what is a good thesis statement for great astronomers How many different 4-digit sequences can be formed using the digits 0, 1,..., 6 if repetition of digits is allowed After t years, the amount of money in a savings account that earns simple interest is p + prt, where p is the starting amount and r is the yearly interest rate. factor this expression. Express 9.21212121212... as a rational number, in the form pq Im a lean dog ,a keen dog,a waild dog ,and lone Why were Jeffersonians concerned about Hamiltons economic plans? The national government could not tax or regulate commerce among the states. This illustrates... A strength of the ConstitutionA strength of the Articles of ConfederationA weakness of the Constitution A weakness of the Articles of Confederation the high temperature on friday was 8 degrees above zero complete the sentence with an appropriate intensive pronoun she bake the cake for my birthday According to piaget, which ability do children gain during middle childhood? Is primary progressive aphasia a form of dementia? Given e(x + 4) = 10 and e[(x + 4) 2 ] = 116, determine (a) var(x + 4), (b)= e(x), and (c) 2 = var(x). How are asthma hyperventilation and anaphylactic shock alike? He caught a glimpse of a most singular thing, what seemed a handless arm waving towards him, and a face of three huge indeterminate spots on white, very like the face of a pale pansy. Which of these is the BEST connotation for the word glimpse as it is used in the selected sentence?A)a gaze in a given directionB)a brief, incomplete view or lookC)a pleasurable and absorbing lookD)an unhealthy and extended observation Steam Workshop Downloader