MULTIPLE CHOICE QUESTION
SOLVING SYSTEMS OF EQUATIONS BY ELIMINATION
5x=y=7- 20-49:22
+ = 14
21 x = 42
2x-y=5
4x+2y=-10
x + 4y = 14
What is the value of y in this system?
Hint: Plug in the value of x to find y.
3

-2

-3

2

MULTIPLE CHOICE QUESTIONSOLVING SYSTEMS OF EQUATIONS BY ELIMINATION5x=y=7- 20-49:22+ = 1421 X = 422x-y=54x+2y=-10x

Answers

Answer 1

Answer:

(Q.1) No solution

(Q.2) True

(Q.3)  x = 4 - 2y

(Q.4) True

Step-by-step explanation:

(Q.1) As shown in the first attached figure.

By graphing.   x + 2y = 8   &   x + 2y = -4

The two lines are parallel, there is no intersection points between the lines.

So, there is no solution to the system of equations.

Also, we should note the parallel lines have the same slope

to find it make the equation similar to y = mx + c where m is the slope

at this situation m = -1/2

===================================================

(Q.2) As shown in the second attached figure.

By graphing the system of inequalities  y> -3x+2  &  y<2x+1

The Shaded area represents the solution of the system of inequalities

And the point (4,2) is inside the shaded area

So, The ordered pair (4,2) is a solution to the system of inequalities.

====================================================

(Q.3) solving the system { x+2y=4  &  2x+2y=6 } by substitution

From the first equation x + 2y = 4

we will find x in terms of y then plug it into the second equation

So, x + 2y = 4 ⇒  x = 4 - 2y

=====================================================

(Q.4) As shown in the third attached figure.

By graphing.   2x + 4y = 8  &  x + 2y = 6

The two lines are parallel, there is no intersection points between the lines.

So, there is no solution to the system of equations.

Also, we should note the parallel lines have the same slope

to find it make the equation similar to y = mx + c where m is the slope

at this situation m = -1/2


Related Questions

I need help figuring out what the area is of the given shape

Answers

Answer:

15ft square

Step-by-step explanation:

Area of triangle =1/2b×h

=1/2×6ft×5ft

=1/2×30ft square

=15ft square

Tyler orders a meal that costs $15
the sales tax in tyler’s county is 6.6%
how much will the sales tax be on tyler’s meal?

Answers

Answer:

0.44

Step-by-step explanation:

Divide the percent with the original price to get your answer

Can you please help me with this question????

Answers

i think it would be h=60.

Answer:

60

Step-by-step explanation:

because it is parallel then ,you can use alternate angles to look for answer.

with alternate angles you know that the other side of the h angles is 120°

so you should take 180°(a straight line fixed angle) -120° and get 60°.


Tito's taxi charges $6,26 fee for a ride plus $2.75 for each additional mile. Write an
expression that gives the cost for a trip of d miles?
a) Algebraic Expression:
b) How much would it cost to travel 23 miles?
Answer Sentence:

Answers

Answer:

A. ok so lets make a alebra equation

2.75d+6.26

first of all they charge a certain amount per mile so thats why we multiply that by the number on miles then we add the base price of 6.26

B. ok so lets just plug in

77.76

Hope This Helps!!!

(a)

Given the info that Tito charges a $6.26 fee for a ride plus $2.75 for every ride, we derive

Y is the amount of money in total

X is the amount of miles for each ride

Algebraic Expression: Y=2.75X+6.26

(b)

Plugging in 23, we get

Y=2.75(230+6.26

Y=69.51

Answer Sentence: It would take $69.51 to travel 23 miles on TIto's taxi.

-Hunter

Help please 10 points

Answers

The answer to x is : x _> 0
So you have to put the point on 0 and then go to your right

plz answer the following file attached

Answers

Answer:

i like how to tell us to answer something with no file

Step-by-step explanation:

the answer is x-2/3(x-3) but i need the explanation

Answers

Answer:

[tex]\frac{x-2}{3(x-3)}[/tex]

Step-by-step explanation:

The area of the shaded rectangle is [tex]A_1=\frac{x-2}{3}\times\frac{x+1}{4}[/tex]

The area of the large rectangle is [tex]A_2=\frac{x-3}{2}\times\frac{x+1}{2}=\frac{(x-3)(x+1)}{4}[/tex]

So the fraction is [tex]\frac{A_1}{A_2}=A_1\times\frac{1}{A_2}=\frac{x-2}{3}\times\frac{x+1}{4}\times\frac{4}{(x-3)(x+1)}=\frac{x-2}{3(x-3)}[/tex]

What is the solution to this inequality?
7x - 4< 4(x+3)

Answers

Answer:

x <16/3

Step-by-step explanation:

7x - 4< 4(x+3)

Distribute

7x - 4< 4x+12

Subtract 4x from each side

7x-4x - 4< 4x-4x+12

3x-4 < 12

Add4 to each side

3x-4+4 < 12+4

3x<16

Divide each side by 3

3x/3 <16/3

x <16/3

A bad punter on a football team kicks a football approximately straight upward with a velocity 90 ft/sec. The height h (in feet) of the ball t seconds after being kicked is given by h = –16t2 + 90t + 4. Find the time(s) at which the ball is at a height of 90 feet. Round to one decimal place.

Answers

The time it will take the ball to reach a height of 90feet is 1.2 and 4.4secs

How to calculate the height of a ball

Given the height h (in feet) of the ball t seconds after being kicked expressed as:

h = –16t2 + 90t + 4.

If the ball is at a height of 90feet, hence:

90 = –16t2 + 90t + 4

–16t2 + 90t + 4 - 90 = 0

16t^2  -90t  + 86= 0

8t^2  -45t  + 43= 0

Factorizing the result to get the values of t:

[tex]t=\frac{45 \pm \sqrt{45^2-4(43)(8)} }{16} \\t=\frac{45 \pm \sqrt{2,025-1376} }{16} \\t=\frac{45 \pm {25.47}}{16} \\t=4.4s \ and\ 1.22secs[/tex]

Hence the time it will take the ball to reach a height of 90feet is 1.2 and 4.4secs

Learn more on quadratic function here: https://brainly.com/question/25841119

A shipment of 13 microwave ovens contains six defective units. A vending company purchases four units at random.
(a) What is the probability that all four units are good?

(b) What is the probability that exactly two units are good?

(c) What is the probability that at least two units are good?

Answers

Not sure but I think

a) 4/6 which is 66.67%
b) 2/6 which is 33.33%
c) 4/6 which is 66.67%

i haven’t even finished high school so please don’t blame me if im wrong I do think that is the answer

The length and breath of a rectangular garden are 2m 60cm and 4ft 8in respetively.find the diferences between the length and the breath in ft

Answers

Answer:

2m 60cm-4ft 8in=1.1776 meters which in feet

3.86351706 ft

Hope This Helps!!!

PLEASE HELP ME WITH THIS !! ILL GIVE BRAINLIEST

Answers

Answer:

D. d ≈ 9.4

Step-by-step explanation:

[] We can use the distance formula to solve

-> The distance formal is attached.

[tex]d = \sqrt{(4-9)^{2}+ (2-10)^{2} }[/tex]

[tex]d = \sqrt{(-5)^{2}+ (-8)^{2} }[/tex]

[tex]d = \sqrt{25+ 64 }[/tex]

[tex]d = \sqrt{89}[/tex]

d ≈ 9.4

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly.

- Heather

Which step is not part of the 5-point credit card debt elimination plan?
a.
calculate how much money you earn each month
b.
list all of your current credit cards
c.
add up all the amounts you have in the minimum payment column
d.
pay only the minimum amount on all credit cards


Please select the best answer from the choices provided

A
B
C
D

Answers

Answer:

It's D. I did the test and got it right.

PLEASE I NEED HELP QUICKLY!! Solve for x in the figure.

Answers

Answer:

23 degrees

To get this:

5x means 5 squared, also known as 5 times itself. 5x5 is 25.

25 - 2 is 23.

23 degrees should be it.

Answer:

The value of x is 16 degree

Step-by-step explanation:

5x-2=78(vertically opposite angle)

or,5x=78+2

or,x=80/5

   x=16

Need help need help Fast

Answers

Answer:

920 cm^2

Step-by-step explanation:

There are 2 rectangles in the overall shape, find the areas of each rectangle... The first one is 800 and the second is 120 then we add those to make the whole shape: 920!

Question 8 of 13
The table below represents the closing prices of stock ABC for the last five
days. Using your calculator, what is the equation of linear regression that fits
these data?
Day
1
2
Value
24.31
23.31
23.01
23.16
23.27
4
Un
5
O A. y=-0.147x + 19.217
O B. y=-0.223x + 24.081
O c. y = 0.194x - 24.815
O D. y=-0.237x + 25.139
SUBMIT

Answers

Linear regression are used to represent scatter plots

The linear regression equation is: [tex]y = -0.223x + 24.081[/tex]

How to determine the linear equation

Start by entering the table values in a graphing calculator.

From the graphing calculator, we have the following calculation summary

Sum of X = 15Sum of Y = 117.06Mean X = 3Mean Y = 23.412Sum of squares (SSX) = 10Sum of products (SP) = -2.23

Hence, the linear regression equation is:

[tex]y = -0.223x + 24.081[/tex]

Read more about linear regression at:

https://brainly.com/question/25987747

The line of best fit is y = -0.223x + 24.081

Linear equation

A linear equation is in the form:

y = mx + b

where y, x are variables, m is the slope of the line (rate of change) and b is the y intercept (initial value of x).

Plotting the values of the table using geogebra online graphing tool, the line of best fit is y = -0.223x + 24.081

Find out more on Linear equation at: https://brainly.com/question/14323743

Travis spies an owl in a tall tree. He estimates the height of the tree to be 85 feet and the angle of elevation to the bird from where he stands to be 68°. The leaves on the tree make it difficult for Travis to watch the bird, so he takes several steps away from the tree to get a better view. He now estimates his angle of elevation to be 41°.

How many feet did Travis step back to gain a better view of the bird? Round your answer to the nearest hundredth of a foot.

Answers

Using the slope concept, it is found that he stepped back 63.44 feet.

What is a slope?

The slope is given by the vertical change divided by the horizontal change.

It's also the tangent of the angle of depression.

Initially, we have that:

The vertical change is of 85 feet.The horizontal change is his distance d.The angle is of 68º.

Hence:

[tex]\tan{68^{\circ}} = \frac{85}{d}[/tex]

[tex]d = \frac{85}{\tan{68^{\circ}}}[/tex]

[tex]d = 34.34[/tex]

When he stepped back, the angle was of 41º, hence:

[tex]\tan{41^{\circ}} = \frac{85}{d}[/tex]

[tex]d = \frac{85}{\tan{41^{\circ}}}[/tex]

[tex]d = 97.78[/tex]

97.78 - 34.34 = 63.44.

Hence he stepped back 63.44 feet.

You can learn more about the slope concept at https://brainly.com/question/26291396

help asap with this question please

Answers

Answer:

Here is the graph for the equation, which is y = 4^x

Step-by-step explanation:

Hope this helps =)

Pierce has 1/4 as many tokens as Kelly. Ron has 8 more than 50% of the tokens that Kelly has. Kelly has 64 tokens. Write an expression for the total number of tokens the group has.

Answers

Answer:

120

Step-by-step explanation:

Kelly = 64 tokens

Ron = 40 tokens

Pierce = 16 tokens

Total = 120 tokens

Find the volume of the prism

Answers

Answer:

The volume of the prism is 20 meters.

Step-by-step explanation:

2 x 2 x 5 equals 20

Answer:

20 m³

Step-by-step explanation:

Volume of a rectangular prism = width x length x height

Given:

width = 2length = 2height = 5

⇒ volume = 2 x 2 x 5 = 20 m³

A meal has 408 calories in 8 servings. Find the unit rate.

Answers

Answer:

51 calories per serving

Step-by-step explanation:

Take the total number of calories and divide by the number of servings

408 calories / 8 servings

51 calories per serving

The unit rate is 51.
408/8=51

I want question 9 answered I’ll give you brainliest

Answers

The last one for sure all the wya
it's the one that is $0.45. to find the price of one, there are 36 eggs in 3 dozen. divide $16.20 by 36 eggs to get $0.45

you throw a rock up into the air as hard as you can. it stays in the air for 8 seconds. what was the velocity of the rock when you threw it?

Answers

Answer:

39.2 m/s

Step-by-step explanation:

Let a = 9.8 m/s^2, t = 8 sec, find the initial velocity v

After time t, the rock hit the ground, so the height h = 0

Use h = vt - at^2/2 = 0

v = at/2 = 9.8 * 8/2 = 39.2 m/s

Graph the parabola that has the following properties:

Vertex (0.1)
x-intercept = none
y-intercept = 1
Direction of opening is up

Answers

ABC def ghi jkl mno pqr stu vwy z

A certain Tutoring company promised that they will help Suzy's son,Sidney ,to increase his marks by 50% or more.Sidney's Mathematics average mark was 30%.At the end of the year.Sidney's mark increased to 48%.Did this Tutoring company deliver?​

Answers

Answer:

yes

Step-by-step explanation:

48 - 30 = 18

18/30 = 3/5 = 60%

tan 45° + cos 60
Sin 150°

Answers

Answer:

solution:

2+2cos (60)

Step-by-step explanation:

wc:>

Use the piecewise function graph to the right to find:

Answers

Answer:

a) f(-8) = 1

b) f(-4) = 5

c) f(2) is undefined

Step-by-step explanation:

f(x) notation means "the function of x".  Therefore, for f(-8) you need to find the y value when x = -8.  Locate -8 on the x-axis and then follow up (or down) until you meet the curve/line.  Then find the corresponding y-coordinate of this point.

From inspection of the graph:

a) f(-8) = 1

b) f(-4) = 5

c) f(2) is undefined

estimate the area of a circle with 28 cm

Answers

Answer:

[tex]A=784\pi[/tex]

Step-by-step explanation:

Calculate area of the circle:

[tex]A=784\pi[/tex]

Would you prefer a fully taxable investment earning 8.1 percent or a tax-exempt investment earning 6.1 percent

Answers

Answer:

Assuming that all other factors are equal, (and they never are), I would prefer a 20% or more ROI investment, located in a tax deferred, or tax exempt account!

Assuming that you are for some reason entirely unmotivated to look for better investments than the two you have pointed out, why not just buy the 8.1% investment with your IRA, Roth IRA, 401(k), SEP IRA, or spousal IRA funds?

You can then pretty much ignore your tax rate. Just move over any portion of your standard deduction that remains unused near the end of the year, via a Roth conversion. You will pay no additional taxes, and the money converted will forever remain free of RMDs, (which will otherwise occur later on), for the rest of your life!

Step-by-step explanation:

Use your now freed up taxable money to invest in tax free transactions, (similar to the effect of having a periodic Roth IRA), and live happily ever after!

As always, upvote and follow me, either if you are entertained by my answers, or, if you are sufficiently curious to investigate my other answers posted on Quora, and realize that you COULD be making FAR MORE money with your investments than you have been!

Thank you for reading and I hope it helps

Use the slope formula to find the slope of the line through the points (4,8) and (−7,6).

Answers

(4,8)(-7,6)

Slope:-

[tex]\\ \rm\longmapsto m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

[tex]\\ \rm\longmapsto m=\dfrac{6-8}{-7-4}[/tex]

[tex]\\ \rm\longmapsto m=\dfrac{2}{11}[/tex]

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