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
Answers
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
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
tan 45° + cos 60
Sin 150°
Answers
Answer:
solution:
2+2cos (60)
Step-by-step explanation:
wc:>
Help please 10 points
Answers
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]
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
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
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
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 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%
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
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 equationStart 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) = -2.23Hence, 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
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 ballGiven 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
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
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]
I want question 9 answered I’ll give you brainliest
Answers
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!!!
Can you please help me with this question????
Answers
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°.
Use the slope formula to find the slope of the line through the points (4,8) and (−7,6).
Answers
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]
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
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
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
408/8=51
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!
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 =)
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
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
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.
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
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