Answers
Answer:
The point of intersection of the system of equations is:
(x, y) = (-2, 1)
The correct system of equations intersect at point A in this graph will be:
[tex]\begin{bmatrix}y=4x+9\\ y=-3x-5\end{bmatrix}[/tex]
Thus, the second option is correct.
Step-by-step explanation:
Given the point
A (-2, 1)Let us check the system of equations to determine whether it intersect at point A in this graph.
Given the system of equations
[tex]\begin{bmatrix}y=4x+9\\ y=-3x-5\end{bmatrix}[/tex]
Arrange equation variable for elimination
[tex]\begin{bmatrix}y-4x=9\\ y+3x=-5\end{bmatrix}[/tex]
so
[tex]y+3x=-5[/tex]
[tex]-[/tex]
[tex]\underline{y-4x=9}[/tex]
[tex]7x=-14[/tex]
so the system of equations becomes
[tex]\begin{bmatrix}y-4x=9\\ 7x=-14\end{bmatrix}[/tex]
Solve 7x = -14 for x
[tex]7x=-14[/tex]
Divide both sides by 7
[tex]\frac{7x}{7}=\frac{-14}{7}[/tex]
Simplify
[tex]x = -2[/tex]
For y - 4x = 9 plug in x = 2
[tex]y-4\left(-2\right)=9[/tex]
[tex]y+4\cdot \:2=9[/tex]
[tex]y+8=9[/tex]
Subtract 8 from both sides
[tex]y+8-8=9-8[/tex]
Simplify
y = 1
Thus, the solution to the system of equations is:
(x, y) = (-2, 1)
From the attached graph, it is also clear that the system of equations intersects at point x = -2, and y = 1.
In other words, the point of intersection of the system of equations is:
(x, y) = (-2, 1)
Therefore, the correct system of equations intersect at point A in this graph will be:
[tex]\begin{bmatrix}y=4x+9\\ y=-3x-5\end{bmatrix}[/tex]
Thus, the second option is correct.
Related Questions
A store offers four different brands of a product. It decides to eliminate one
brand based on the likelihood a customer will return that brand. The table
shows the number of items of each brand that were returned over the past
year and the total sold.
Returns
Total sold
Brand A
28
594
Brand B
15
426
Brand C
27
664
Brand D
25
313
Which brand should the store consider eliminating?
I
Answers
Answer:
28/594 X 100= 4.7 %
15/426 X 100 =3.5%
27/664 X 100=4.1%
25/313 X 100=8%
they should eliminate brand d
PLEASE HELP!!!!!!!!!!! I WILL MARK BRAINLIEST IF CORRECT!!!!
Answers
Answer:
63
Step-by-step explanation:
Ross has a season ticket.
In 2013 the season ticket cost £65.
In 2014 the cost of the ticket was increased by 8%.
In 2015 the cost of the ticket was increased by a further 5%.
Calculate the cost of the season ticket after the two price increases.
Answers
Answer:
£73.71
Step-by-step explanation:
Let's compute first for the cost of the ticket in 2014. Let x be the increase in the cost of the ticket. If the cost of the ticket is 8% of £65, then the expression should be like this:
x = 65 x 8%x = 65 x 0.08x = £5.2Let's add £5.2 to £65 ⇒ £5.2 + £65 = £70.2
The cost of the season ticket in 2014 is £70.2.
Next, we'll have to compute the cost of the ticket in 2015. Let y be the increase in cost of the ticket. If the cost of the ticket is 5% of £70.2, then the expression should be like this:
y = 70.2 x 5%y = 70.2 x 0.05y = £3.51Let's add £3.51 to £70.2 ⇒ £3.51 + £70.2 = £73.71
The cost of the season ticket in 2015 is £73.71. This is also the cost of the season ticket after two price increases.
Item 10
Find the interquartile range of the data.
8, 2, 14, 12, 10, 4, 4, 6
Answers
Answer:
7
Step-by-step explanation:
ILL GIVE BRAINIEST PLZ HELP the volume of a golf ball is approximately 4.in3 what is the diameter round you answer to the nearest whole number
Answers
Answer:
13.50200 or 13
Step-by-step explanation:
you use c = 3.14 (which is pie) x d to get the full sphere, hopefully this is correct
The height of a boulder falling off a 500 meter cliff can be modeled using a quadratic equation.
Part A: Write the quadratic equation to represent this situation.
Part B: Determine the time it will take the boulder to reach the ground.
Part C: In one paragraph, using your own words, explain your work in Steps A and B.
Answers
Answer:
The answer is t=4 s
Step-by-step explanation:
Answer: T=4s
Step-by-step explanation: it is option 2
Michele wanted to measure the height of her school's flagpole to place on the ground 35 ft from the flagpole then walks backwards until she was able to see the top of the pole in the mirror her eyes were 5 feet above the ground and she was 12 ft away from the mirror using similar triangles, find the height of the flagpole to the nearest of a foot
Answers
Answer:
15 feet
Step-by-step explanation:
Michele wanted to measure the height of her school's flagpole to place on the ground 35 ft from the flagpole then walks backwards until she was able to see the top of the pole in the mirror her eyes were 5 feet above the ground and she was 12 ft away from the mirror using similar triangles, find the height of the flagpole to the nearest of a foot
Using similar triangles
= Let the height of the flagpole be represented as h.
h/35 =5/12
We cross Multiply
35 x 5 = 12h
12h = 175
h = 175/12
h = 14.583333333 feet
Approximately to the nearest foot is
h = 15 feet
Helpppppppppppppp pleaseeeeeeeee
Answers
First, lets put this into slope intercept form
3x + 2y = -6
2y = -3x - 6
y = -3/2x - 3
The y intercept is (0, -3)
To find the x intercept we set the new equation to zero and solve
0 = -3/2x - 3
+3 +3
(2)3 = -3/2x(2)
6 = -3x
6/-3 = -3x/-3
-2 = x
The x intercept is (-2,0)
Therefore, your intercepts are:
y-int. = (0,-3)
x-int. = (-2,0)
Hope this helps! =D
9% ___ 0.4 will give brainliest
pls help :)
Answers
Answer:
9% is less than 0.4. 0.4 is really 4/10 which is 40% 40 is greater than 9 therefore 9% is less than 0.4! So your answer is 9%<0.4! I hope this helped!
Step-by-step explanation:
please help me with this thankyou
Answers
Answer:
Area of the Rectangle is (length×breadth)
[tex]5 {x}^{5} {y}^{3} \times {(7 {x}^{3}y) }^{4} = 5 {x}^{5} {y}^{3} \times 2401 {x}^{12} {y}^{4} \\ = 12005 {x}^{17} {y}^{7} [/tex]
Third option is the right answer.
An ice cream machine offers three flavors: vanilla, chocolate, and strawberry. Each flavor can be served as a milkshake, in a cone, or in a cup.
This is a tree diagram that represents the probability of customers choosing the different ice cream options.
What is the value of Z?
Group of answer choices
0.2
0.4
0.35
0.45
Answers
so to answer you should do 0.45+0.35= 0.8
then 1-0.8 =0.2
so Z is 0.2
The value of z = 0.2
What is probability?"Probability is a branch of mathematics which deals with finding out the likelihood of the occurrence of an event."
Sum of probabilities:"The sum of the probabilities of all outcomes must equal 1."
For given situation,
An ice cream machine offers three flavors: vanilla, chocolate, and strawberry. Each flavor can be served as a milkshake, in a cone, or in a cup.
The probability of customers choosing Vanilla flavor = 0.45
The probability of customers choosing Chocolate flavor = 0.35
We need to find the probability of customers choosing Strawberry flavor i.e., to find the value of z.
The sum of the probabilities of all outcomes must equal 1.
From given tree diagram,
⇒ 0.45 + 0.35 + z = 1
⇒ 0.8 + z = 1
⇒ z = 1 - 0.8
⇒ z = 0.2
Therefore, the correct answer is option (A)
Learn more about probability here:
brainly.com/question/12478394
#SPJ2
A 4-pound bag of carrots costs $2.48. What is the unit price? *
Answers
Answer:
0.62 cents per pound
Step-by-step explanation:
2.48/4
to find price per pound which is the unit price
2.48/4=0.62
brainliest appreciated
If you roll a six sided die six times what is the best prediction possible for the number of times you a roll a two
Answers
Answer:
the best possiable prediction is 2/6
Step-by-step explanation:
solve by elimination 6x-5y=27 3x+10y=-24
Answers
Answer:
point form: (-34/3, -19)
equation form: X= - 34/3, Y = -19
I need help answer as soon as possible.
Answers
?????????????????????????????
Answers
Answer:
73°
Step-by-step explanation:
Angles on a straight line add up to 180°
angle ABC= 180-146= 34°
Angles in a traingle add up to 180°
180-34= 146°
y= 146÷2= 73°
hope it helps! please mark me brainliest
thank you! have a good day ahead
if u follow me, I will follow u back
Answer:
Option D (73°)
Step-by-step explanation:
According to Exterior Angle Property , the measure of exterior angle is the sum of the opposite interior angles.
So, according to the question -
[tex]y + y = 146[/tex]
[tex] = > 2y = 146[/tex]
[tex] = > y = \frac{146}{2} = 73[/tex]
Anybody know the answer for this? ;-;
Answers
Answer: the first answer choice
Step-by-step explanation:
Answer:
i think its the bottom one but i dont know
Step-by-step explanation:
What is the slope of the line that passes through the points (-3, 4) and (5, -2)?
Answers
Answer:
m = 0 , this is a horizontal line, y = 5
Step-by-step explanation:
Find the slope of the line that passes through the pair of points
(-3,5),
(-4,5) m = 0/1 = 0
m=y2-y1/x2-x1
m = 0 , this is a horizontal line, y = 5
Hopefully that helps!!!!!
I will give brainless soo please help Question 1 (5 points)
Saved
(04.01 LC)
Which unit rate is the lowest price per ounce? (5 points)
Choice A: 22 ounces of potato chips for $3.49
Choice B: 40 ounces of potato chips for $4.79
1) Choice A
2) Choice B
3) The unit rates are equal.
4) The unit rates cannot be determined.
Answers
Answer:
Estoy muy triste por tener que regalar a mi perro.
Anay has 5 pink bows, 1 blue bow, and 4 purple bows in a box. She will randomly choose 1 bow from the box.
Answers
heeeeeeeeeeelp pleaseeeeeeeeeeee
Answers
Answer
<2 = <4 = <6 = <8
All of those are 94 degrees
<1 = <3 = <5 + <7
All of those are 86 degrees
Hope this helps :D
A car dealership is having a sale where all cars have a 12% discount. What is the discounted price of a car that originally cost $15,600?
Answers
Answer:
show us a photo
Step-by-step explanation:
Suppose you anticipate needing to call the UK for a total of 250 minutes and France for 100 minutes. Will a $75 card cover the cost of this much calling? Explain your answer.
Answers
Complete question :
You have relatives living in the United Kingdom and in France. Suppose that you have purchased a prepaid phone card with a value of $75. Calls to the United Kingdom cost 23¢ per minute, while calls to France cost 21¢ per minute."Suppose you anticipate needing to call the UK for a total of 250 minutes and France for 100 minutes. Will a $75 card cover the cost of this much calling?
Answer:
cell phone card won't be enough.
Step-by-step explanation:
Cell phone card value = $75
United kingdom = 23cent per minute
France = 21 cent per minute
United Kingdom minutes = 250
France minutes = 100
Total cost :
23 cent = $0.23
21 cent = $0.21
Total :
United Kingdom = 0.23 * 250 = $57.5
France = 0.21 * 100 = $21
$21 + $57.5 = $78.5
$78.5 > $75
Then, it can be concluded that the cell phone card won't be enough.
pls answer the question
Answers
We need to determine the midpoint of A and B
Midpoint of A and B:
The midpoint of A and B can be determined using the formula,
Substituting the points (2,7) and (6,3) in the above formula, we get;
Adding the numerator, we have;
Dividing the terms, we get;
Thus, the midpoint of the points A and B is (4,5)
Message me if you need anything else I’ll be happy to help.
Write the equation of the line in slope-intercept that has passes through the points and (5,-9). (-8, 4)
Answers
Answer:
y = -x - 4 and/or x + y = -4
Step-by-step explanation:
(x,y) is helpful
is 2 greater than negative 2?
Answers
Answer:
yes
Step-by-step explanation:
An equilateral triangle has a perimeter of 12x + 33. What is the length of each side of the triangle?
Answers
Answer:
4x + 11
Step-by-step explanation:
Here all sides of the triangle have the same length. Thus, if the Perimeter is 12x + 33, and there are three sides, then the length of one side is
12x + 33
------------- = 4x + 11
3
Which of the polygons has the greatest area?
Group of answer choices
A square with side length of 4.6 inches.
A triangle with a base of 7.18 inches and a height of 5.4 inches.
A parallelogram with a base of 5.875 inches and a height of 3.5 inches.
A rectangle that is 3.25 inches wide and 6.1 inches long.
Answers
Answer:
A triangle with a base of 7.18 inches and a height of 5.4 inches
Step-by-step explanation:
You have to multiply 7.18 by 5.4
7.18*5.4=38.772
If you do the math to the other equations, they are all less then the triangle.
3/4x + 3 = 2/5 rewrite without fractions and decimals
Answers
Answer:
3/4 and 2/5 have a common denominator of 20, so re-write
15/20x - 2 = 8/20 Now multiply both sides by 20
15x-40 = 8
Step-by-step explanation:
hope this helps!! good luck!!
PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!
PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!
PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!
Answers
Answer:
y=3x+10 is (0,10) and y=2x 9 is (0,0)
Step-by-step explanation:
is this the answer you were looking for
Answer
(x,y)= (-10, -20)
Step-by-step explanation:
As both equations have y separated, we can conclude they are equal. Hence,
[tex]2x=3x+10\\x=-10\\y= 2(-10)\\y=-20[/tex]