Vivek graphs the equation y = 1/4x^2 and y = -1/2x + 2 to solve the equation 1/4x^2 = -1/2x + 2. His graph is shown below.
What are the solutions of 1/4x^2 = -1/2x + 2?
A.) -4 and 2
B.) -4 and 1
C.) 0 and 4
D.) 1 and 4
Answers
Answer: Using the graph to find the solution of the given equation, the solutions are:
Option A.) -4 and 2
Solution:
The solutions in the graph are the values of "x" where the curves intercept. In this case the curves intercept at x=-4 and at x=2, then the solution of the equation are -4 and 2
Related Questions
How much more money does she need
Answers
5 pounds of bananas cost 0.80*5 = 4 dollars
5 pounds of apples cost 1.40 *5 = 7 dollars
4+7 = 11 dollars
11 dollars is greater than 10 so she does not have enough and needs 1 more dollar
Hey!
Hope this helps...
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Because it is asking for 5 pounds of both bananas and apples, we will multiple the amount per pound for each by 5...
Bananas: $1.40 * 5 = $7
Apples: $0.80 * 5 = $4
The Total is: $11
Now we ask: Is $10 greater than or equal to $11?
Answer: No
So...
The answer is: Janice's mother did not give Janice enough money, and need $1 more to make the full purchase...
Which set of rational numbers is correctly ordered from least to greatest circle your answer.Use a number line to help find your answer.
A.-0.48,-0.47,-0.46,0.45
B.-0.48,-0.46,-0.47,0.45
C.-0.45,-0.46,0.47,-0.48
Answers
You eat 3 8 of a pie and your sister eats 1 4 of the pie. Explain who ate more of the pie
Answers
So, 3/8 will equal out to 0.375. 1/4 is 0.25. 0.375 is greater than 0.25.
I/You ate more of a pie than my/your sister.
Defined by distinct lines in the same place which never intersect each other and have the same slope
Answers
The length of a rectangle is twice its width. The length is 4 1/2 feet. What is the area of the rectangle? Answer quick
Answers
4 1/2/2 = 2.25 (2 1/4)
4 1/2 • 2 1/4 = 10.125 or 10 1/8
So, the area of the rectangle is 10 1/8 ft sq.
I really hope you found this helpful!
Give one combination of two factors whose product is 0.24, if one of the factors is a whole number greater than 1.
Answers
Answer:
Product of two factors =0.24
It is given that one of the factors is greater than 1.
Because 0.24 when reduced in fraction form , numerator will be divisible by 1,2,3,4,6,8,12,and 24.
So, you can choose from any one of them.
So, let one factor= 2
So, other will be
= 0.24 ÷ 2
=0.12
One Combination is=(2, 0.12)
The combination of two factors whose product is 0.24 is 24 x 0.01
The product = 0.24
Convert 0.24 from decimal to fraction
0.24 = 24/100
24/100 can be rewritten as 24 x 1/100
Since 24 is a whole number greater than 1, find the decimal equivalent of 1/100
1/100 = 0.01
0.24 = 24 x 0.01
Therefore, one of the combinations of factors of 0.24 the where one of them is a whole number greater than 1 is 24 x 0.01.
Learn more here: https://brainly.com/question/2696570
Dan has 4 over 5 cup of ice cream. How many 1 over 8-cup servings are in 4 over 5 cup of ice cream?
Answers
6.4 servings of 1/8 will be in the cup
Hope it helps.
Biff earned $45 working at happy days drive-in. He spent 1/3 of the money on gas for his car and 1/5 of it on the flowers for his girlfriend. How much money does he have left for the big date? I know what the answer is but I do not know how to show my work or explain it. Please show me how you got the answer thank you very much I will make the points on this problem go up!
Answers
Answer:
Sorry I don't really know how to explain it but he would have $21 left
Step-by-step explanation:
Which functions have graphs that are steeper than the graph of f(x)=−3x^2?
Select each correct answer.
h(x)=−2x^2
g(x)=−4x^2
k(x)=3x^2
m(x)=4x^2
j(x)=2x^2
Need help asap please
I think it is k(x)=3x^2 and j(x)=2x^2 Can anyone tell me if i am correct.
Answers
Answer:
g(x)=−4x^2 and m(x)=4x^2
Step-by-step explanation:
A horizontal stretch or shrink happens when you multiply the parent function (in this case f(x) = x²) by a number. If this number is between 0 and 1, the graph will be stretched horizontally. If this number is greater than 1, the graph will be shrunk horizontally. If the number is between -1 and 0, the graph will be stretched horizontally and flipped; if the number is less than -1, the graph will be shrunk horizontally and flipped.
The graphs that are horizontally shrunk are steeper than the others. This is m(x)=4x^2 and g(x) = -4x^2.
If the parent function f(x) = x is stretched vertically by a scale factor 'k', image function will be,
g(x) = kf(x)
It's inverted form will be,
h(x) = -kx
Functions given in options (2) and (4) will be more steeper than function 'f'.
Given function is f(x) = -3x²
Functions having scale factor 'k' more than 3 will be more stretched vertically.
Hence, functions having k > 3 will be more steeper.
From the given options, g(x) = -4x², m(x) = 4x² have coefficient 'k' greater than 3.
Therefore, functions 'g' and 'm' will be more steeper than function 'f'.
Options (2) and (4) are the correct options.
Learn more,
https://brainly.com/question/13815011
What is the greatest common factor of 15 and 20
Answers
Answer: 5
Step-by-step explanation: To find the GCF or greatest common factor of 15 and 20, we first list the factors of 15 which are 1, 3, 5, and 15.
Next, we list the the factors of 20 which are 1, 2, 4, 5, 10, and 20.
Finally, we compare the lists to find the largest shared factor which is 5.
So the greatest common factor of 15 and 20 is 5.
Image provided.
Andy is scuba diving. He starts at sea level and then descends 10 feet in 212 minutes. Part A How would you represent Andy’s descent as a unit rate? Express your answer as an integer. Enter your answer in the bo
Answers
To get Andy’s descent as a unit rate, we can express this in terms of ratio of distance over time.
The total distance he descended is 10 feet while the total time 2 ½ minutes or 2.5 minutes. Therefore his rate is:
rate = 10 feet / 2.5 minutes
rate = 4 feet / minute
Jaquon made 252 calls in 36 days. What is the average number of calls he made in a day?
Answers
Divide both sides by 36 to get what 1 day would equal.
7 calls = 1 day.
Hope that helped! :)
A hot air balloon leaves the ground and ascends at a rate of 6 feet per second for 3 minutes. Then it descends at a rate of 3 feet per second for 2 minutes. Finally, it ascends at a rate of 4 feet per second for 5 minutes. How far above the ground is the balloon now?
Answers
State 1:
A hot air balloon leaves the ground and ascends at a rate of 6 feet per second for 3 minutes.
1 minute = 60 seconds
3 minutes = 180 seconds
If it's rate of is 6 feet per second
Last of 3 minutes, it will ascend (180 seconds x 6 feet) 1080 feet.seconds. That is we can write +1080 feet.seconds
State 2:
Then it descends at a rate of 3 feet per second for 2 minutes.
2 minutes = 120 seconds
If it's rate of is 3 feet per second
Last of 3 minutes, it will descent (120 seconds x 3 feet) 360 feet.seconds that is we can write -360 feet.seconds
State 3:
It ascends at a rate of 4 feet per second for 5 minutes.
5 minutes = 300 seconds
If it's rate of is 4 feet per second
Last of 5 minutes, it will ascent (300 seconds x 4 feet) 1200 feet.seconds that is we can write +1200 feet.seconds
Last State:
+1080 feet.seconds ascent (1)
-360 feet.seconds descent (2)
+1200 feet.seconds ascent (3)
Conclusion:
(+1080 feet.seconds) + (-360 feet.seconds) + (+1200 feet.seconds) = +1920 feet.seconds
Answer: +1920 feet.seconds
A dvd case is 9/16 thick. how many of these cases will fit on a shelf that is 1 1/2 ft wide.
Answers
11/1 * 8/9
88/9
2i+3+the square root of -4. i dont understand how to write this expeession as a complex number in standard form. a step by step would be helpful! thank you!
Answers
2i + 3 + 4i
Once you do that, add the 2i and 4i and you have your final answer.
6i + 3
So, do -4 times itself and you get 16.
Lastly, you would add the 2i, the 3, and the 16...
So the answer to this problem would be...
2i+3+16=2i+19 <==
2 automobiles start together from the same place and travel along the same route. the first averages 40 miles per hour. the second 55 miles per hour. how many miles further along the route is the second auto at the end of 5 hours
Answers
second auto: 55 x 5 = 275
275-200=75
75 miles further along the route than the first automobile.
I think that's wut ur asking
If ∠ABD = 56, find ∠DBC.
a) 124
b) 56
c) 44
d) 34
Answers
The measure of ∠DBC is determined based on the concept that two angles forming a straight line are supplementary, which means their measures add up to 180 degrees. Thus, ∠DBC = 180 - ∠ABD = 180 - 56 = 124 degrees.
Explanation:The subject of the given question pertains to Mathematics, specifically geometrical interpretation of angles. We have a situation where the measure of ∠ABD is provided as 56 degrees and we are asked to determine the measure of ∠DBC. This is a well-known scenario in geometry where one angle is given and the other is to be determined.
Important observation here is that ∠ABD and ∠DBC are on a straight line, thus they are supplementary angles. We know that the sum of supplementary angles is 180 degrees. Hence, the measure of ∠DBC will be: ∠DBC = 180 - ∠ABD = 180 - 56 = 124 degrees. So, the correct answer is (a) 124.
Learn more about Supplementary Angles here:https://brainly.com/question/18164299
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Which graph represents the solution for the equation 1/6x=-2x+5
Answers
Answer:
B
Step-by-step explanation:
What is 2/7 as a percent
Answers
Work
2÷7 = 0.285714 =0.285714×100 = 28.5714%
BRAINLIEST if right!
Which of the flowing graphs is increasing only when x<0?
Answers
Graph W is actually decreasing when x<0, so it is incorrect.
Graph X increases when x<0 and not when x≥0, so that makes it a possible answer.
Graph Y decreases when x<0, so it is incorrect.
Graph Z increases when x<0, but it is also increasing when x≥0, so Graph Z is incorrect.
Graph X is the only correct answer.
Have an awesome day! :)
Explain how to solve rate of wind and rate of current problems
Answers
Final answer:
To solve rate of wind and current problems, analyze the given velocities, represent them as vectors, perform vector addition, and apply trigonometry to find the effective velocity or required direction. This method helps in determining the true path of a vehicle influenced by wind or current.
Explanation:
To solve rate of wind and rate of current problems, it is essential to understand vectors and relative motion. Here is a step-by-step approach to solving these problems:
Analyze the question to understand what is being asked, including the direction and magnitude of both the wind/current and the vehicle (aircraft, boat, etc.).Represent the given velocities as vectors. The wind or current velocity should be added to the vehicle’s velocity to determine the resulting path.Apply the vector addition concept to calculate the effective velocity of the vehicle relative to the Earth. This might include using trigonometric functions to resolve vectors into components.Once the effective velocity is known, use it to solve for other quantities like travel time, distance, or the required heading to reach a certain destination.For example, if an aircraft flies with a wind velocity of 200 km/hr blowing from the south and its relative velocity with respect to wind is 1000 km/hr, the direction in which the aircraft should fly to reach a north-eastern destination can be calculated using vector addition and trigonometry.
find the value of x
Answers
6q + 9 ≤ 9 and 6q + 9 ≥ −9
Answers
6q + 9 ≤ 9
Start by subtracting 9 from both sides
6q + 9 - 9 ≤ 9 - 9
6q ≤ 0
Then divide both sides by 6
6q/6 ≤ 0/6
q ≤ 0
--------------
The second equation
6q + 9 ≥ -9
Start by subtracting 9 from both sides
6q + 9 - 9 ≥ -9 - 9
6q ≥ -18
Divide both sides by 6
6q/6 ≥ -18/6
q ≥ -3
Good luck with your studies!
-9 ≤ 6q + 9 ≤ 9
You can further simplify this be using the absolute value.
If you use the absolute value, you will get
| 6q + 9 | ≤ 9
If you're trying to solve for q, use
-9 ≤ 6q + 9 ≤ 9
Subtract all parts by 9
- 18 ≤ 6q ≤ 0
Divide all parts by 6
- 3 ≤ q ≤ 0
Have an awesome day! :)
An adult African elephant can weigh up to 7 tons. At birth an African elephant weighs about 200 pounds. How many more pounds does an adult African elephant weigh than a newborn?
Answers
1 tonne = 2,000lbs
7 tonnes * 2,000lbs = 14,000lbs
14,000lbs - 200lbs = 13,800
So your answer would be an adult African Elephant is about 13,800lbs more than a new born elephant.
the sum of 15 and x is greater than or equal to 12 minus y
Answers
But also your answer would be 12 minus y because the y axis is greater than th 15 on the x axis so I hope that I really helped you okay
Evaluate the expression 1/4 ÷ 2/5 – 1/2
Answers
1/4*5/2-1/2
5/8-4/8
=1/8 I think is the right answer.
5/8 - 1/2 = 5/8 - 4/8 = 1/8 answer
How can I write number 8 in the tens place
Answers
A 30 minute TV program consist of three commercials, each 2 1/2 minutes long, and four equal length entertainment segments. How long is each entertainment segment?
Answers
Chuy wants to buy a new television. The television costs $1,350. Chuy decides to save the same amount of money each week, for 27 weeks. After 8 weeks Chuy saved $440. Which of the following conclusions can you make about Chuy's plan?
Answers
Answer:
c.
Chuy will save more than he needs and will meet his goal in less than 27 weeks.
Step-by-step explanation:
A second number is 6 less than a first number. A third number is twice the first number. If the sum of three number is 306, find the numbers
Answers
Answer:
first number = 78
second number = 72
third number = 156
Step-by-step explanation:
first number = a
second number = b
third number = c
we have
b=a-6 equation 1
c=2a equation 2
a+b+c=306 equation 3
using equation 1 and equation 2 in equation 3 we have
a+a-6+2a=306
4a=306+6
4a=312
a=312/4
a=78= first number
b=78-6=72=second number
c=2*(78)=156 third number