88 POINTS!!!
consider the function f(x)=x(x-4).
If the point (2+c,y) is on the graph of f(x), the following point will also be on the graph of f(x):
Select a Value
(c-2,y)
(2-c,y)
Can the sides of a triangle have lengths 2.8, 3.6, and 7.1?
yes or no
What is 2 divided by 134.5
Answer:
0.01486988847
Step-by-step explanation:
Adiya said that the first step to solving the quadratic equation x2 + 6 = 20x by completing the square was to divide 6 by 2, square that value, and add the result to both sides. Is Adiya’s solution method correct? Explain.
Thus, Adiya's approach is incorrect. The constant needs to be isolated solely on a single side of the equation in order to construct a perfect square trinomial.
Explain about the method of completing square:Mathematicians employ the "completing the square" technique to change a quadratic expression of the type ax² + bx + c into the vertex form a(x + m)² + n. The quadratic equation can be solved using this method most frequently by rearranging that expression acquired after the square has been completed.Given condition-
Adiya explained that the first step to completing the square and finding the solution to the quadratic equation x² + 6 = 20x was to divide 6 by 2, square that number, and then add the answer to both sides.
Adiya's approach is incorrect.
The constant needs to be isolated solely on a single side of the equation in order to construct a perfect square trinomial. The constant in the perfect square trinomial is also found using the coefficient of the term with an exponent of 1. The 20x term needs to be placed on the exact same side of the formula as x², according to Adiya. Then multiply 20 by 2 to get a square, add 100 to each sides.Correct method:
x² + 6 = 20x
x² - 20x - 6 = 0
x² - 2*10x - 6 = 0
x² - 2*10x - 6 + 100 - 100 = 0
x² - 2*10x + 100 - 6 - 100 = 0
(x - 10)² - 94 = 0
(x - 10)² = 94
Thus, Adiya's approach is incorrect. The constant needs to be isolated solely on a single side of the equation in order to construct a perfect square trinomial.
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The length of a rectangular garden is 15 less than twice the width. The area is 3375 ft^2. What are the dimensions of the garden?
Find the PERIMETER of this triangle
to get to school Jenny decide to ride the school double decker bus it's a 30-minute ride the bus has a total of 20 rows of seats in each row has a capacity of four kids how many kids in total can ride the school bus
determine the height of the pyramid triangular base with the base edge of 12 inches and base height 9 inches, and volume of 108 cubic inches
The height of the pyramid with a triangular base edge of 12 inches, a base height of 9 inches, and a volume of 108 cubic inches is 6 inches.
Explanation:The subject of your question is in the field of mathematics, specifically in geometry. You provided the base edge, base height, and volume of the pyramid and asked to determine the height of the pyramid itself. The volume V of a pyramid is given by the formula V = 1/3 * base_area * height. In your case, the base of the pyramid is a triangle, so the area of the base (base_area) is given by 1/2 * base_edge * base_height = 0.5 * 12 in * 9 in = 54 square in. To find the height of the pyramid, we substitute the volume and the base area into the formula and solve for the height: 108 cubic in = 1/3 * 54 square in * height -> height = 6 inches. Therefore, the height of your pyramid is 6 inches.
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A pineapple has 9 grams of sugar per slice.
A watermelon has 18 grams of sugar per slice.
Which statement is true?
Hello duniarivero1986!
The correct answer is: For an equal number of slices, the watermelon will have twice as much sugar.
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At our school, 2 out of 3 students is involved in an after school activity. How many of the 600 students are in an after school activity at our school?
A. 300
B. 350
C. 400
D. 450
What are the missing angle measures for
which are geometric shapes ?
select all that apply
-rhomas
-trapezoid
-scalene triangle
-isosceles triangle
-equilateral triangle
how can 85% be broken down with friendly percents to find 85% of a number?
A. 2(25%)+3(10%)
B. 3(25%)+10%
C. 5(10%) +25%
D. 4(10%)+2(25%)
What is the area of the triangle in the coordinate plane?
A. 108 units²
B. 91 units²
C.54 units²
D.44 units²
[tex]\huge\mathfrak {Answer}[/tex]
Area of triangle
= 》1/2 × Base × height
[tex] = > 54 {unit}^{2} [/tex]
Thanks
sasha has a string that is the length of 5 beads. each bead is 2 inches long. what is the length of the string?
What is the approximate circumference of the circle
Ladonna made 36 muffins she put the same number of muffin on 4 plates how many muffins did she put on each plate
Round 2,406,251 to the nearest thousand
10.5 would round up to?
A triangular flowerbed is being planted inside a circular area of grass. What is the area of the entire circular region (including the flowerbed)? (Use 3.14 for π .) 10,562.96 ft 2 182.12 ft 2 2,640.74 ft 2 91.06 ft 2
Answer:
Answer is 2,640.74
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In the first event, the eighth graders are running a baton relay race with three other classmates. The team’s top speed for each leg is 56.81 seconds, 59.22 seconds, 57.39 seconds, and 60.11 seconds. Use the information to predict the team’s best time for the race. (Answer) four minutes and twelve seconds
If the team’s best time for the race is less than 4 minutes, then the eighth graders earn 40 points. If not, the seventh graders earn 40 points. Which grade should be awarded 40 points?
Awnser=??<--(what is awnser?)
Answer:
The team’s best time for the race is 3.89. The team’s best time for the race is less than 4 minutes, therefore the eighth graders earn 40 points.
Step-by-step explanation:
It is given that the eighth graders are running a baton relay race with three other classmates. The team’s top speed for each leg is 56.81 seconds, 59.22 seconds, 57.39 seconds, and 60.11 seconds.
The team’s best time for the race is
[tex]56.81+59.22+57.39+60.11=233.53[/tex]
1 min = 60 sec
Using this conversion we get
[tex]\frac{233.53}{60}=3.892167\approx 3.89[/tex]
Therefore the team’s best time for the race is 3.89.
If the team’s best time for the race is less than 4 minutes, then the eighth graders earn 40 points. If not, the seventh graders earn 40 points.
Since the team’s best time for the race is less than 4 minutes, therefore the eighth graders earn 40 points.
To predict the team's best time for the race, add up the best times for each leg and convert the total to minutes and seconds. The eighth graders should be awarded 40 points.
Explanation:To predict the team's best time for the race, we need to add up the best times for each leg. The team's top speeds for the legs are 56.81s, 59.22s, 57.39s, and 60.11s. Adding these times together gives us a total of 233.53 seconds.
To convert this time to minutes and seconds, we divide the total by 60. The quotient is the number of minutes and the remainder is the number of seconds. Dividing 233.53 by 60 gives us approximately 3.89. So, the team's best time for the race is 3 minutes and 53 seconds.
Since the team's best time for the race is less than 4 minutes, the eighth graders should be awarded 40 points.
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A bag contains 30 red and blue marbles identical in size. Jason randomly selected 1 marble, recorded its color, and replaced it. He repeated this process 10 times and drew 6 red marbles and 4 blue marbles. Which of the following statements is MOST likely true about the marbles in the bag?
The bag contains 16 red marbles and 14 blue marbles.
The bag contains 12 red marbles and 18 blue marbles.
The bag contains 18 red marbles and 12 blue marbles.
The bag contains 15 red marbles and 15 blue marbles.
Final answer:
The bag is most likely to contain 16 red marbles and 14 blue marbles due to the probabilities obtained from multiple draws that is option A is correct.
Explanation:
The bag contains 16 red marbles and 14 blue marbles.
For the first draw, the probability of selecting a red marble is 30/60 = 1/2.
Since the marbles are replaced, the probability remains the same for each draw.
Thus, the proportions suggest that the bag has more red marbles than blue marbles.
write equivalent fractions for 2/5 and 1/3 that could be used to find the sum of the fractions.
the volume of a cone is 36π cubic units. What is the volume of a cylinder that has the same base area and the same height?
Final answer:
The volume of a cylinder with the same base and height as a given cone is three times the volume of the cone, so if the cone's volume is 36π cubic units, the cylinder's volume would be 108π cubic units.
Explanation:
The question involves finding the volume of a cylinder when the volume of a cone with identical base and height is given. Since the volume of a cone is one-third the volume of a cylinder with the same base area and height, we can find the volume of the cylinder by using the formula for the volume of a cylinder, V = πr²h, and multiplying the given cone's volume by 3. Therefore, if the volume of the cone is 36π cubic units, the volume of the cylinder would be 108π cubic units, because the volume of the cone is exactly one-third of the volume of a cylinder.
the population of a town is represented by the formula p(t)=A(1.2)^t where A is the current population and t is time. determine to the nearest tenth of a year how long would it take the population to reach 5000 people if the current population is 3750
y=-2/9x+2
turn this linear equation into standard form
Noah and his friends are going to an amusement park. The total cost of admission for 8 students is $100, and all students share the cost equally. Noah brought $13 for his ticket. Did he bring enough money to get into the park explain you reasoning.
Answer:
The correct answer is yes, he brought enough money to get into the park.
Step-by-step explanation:
Well, let's analyze the information provided:
Admission to the amusement park for 8 students is $ 100. If each student agreed to share of cost equally, it means that we must divide those 100, for each of those students.
Therefore it will remain 100/8 = 12.5
If each student must pay 12.5, and Noah brought $ 13, that means he will have enough money to enter the park, and he will even have $ 0.50 left over.
A pail holds 3 1/2 gallons of water. How much is this in cups?(In fraction)
Facts in picture. Please help ASAP!!!
Which expression is equivalent to sqrt 120x?
a. 2 sqrt 30x
b. 2 sqrt 30
c. 4 sqrt 30x
d. 60 sqrt 2x
Answer:
a. [tex]2\sqrt{30x}[/tex]
Step-by-step explanation:
We have been given a radical expression and we are asked to choose the correct option that is equivalent to our given expression.
[tex]\sqrt{120x}[/tex]
Let us pull out perfect square from our radical expression.
We can rewrite our given expression as:
[tex]\sqrt{4*30x}[/tex]
Since square root of 4 is 2, so we can pull out 2 from our radical expression.
[tex]2\sqrt{30x}[/tex]
Therefore, the expression [tex]2\sqrt{30x}[/tex] is equivalent to our given expression and option a is the correct choice.
Answer:
A
Step-by-step explanation: on Edge
Mario earns money mowing his neighbors' lawns. The revenue for mowing x lawns is r(x) = 25x. Mario's cost for gas and the mower rental is c(x) = 6x + 15. his profit from mowing is x lawns is p(x) = (r-c)(x). What is p(x)
Answer:
The value of p(x) is 19x - 15.
Step-by-step explanation:
Given,
The revenue mowing x lawns is, r(x) = 25x.
Also, Mario's cost for gas and the mower rental is c(x) = 6x + 15.
Hence, his profit from mowing is x lawns is,
p(x) = (r-c)(x) = r(x) - c(x) ( Subtracting functions property )
By substituting values,
p(x) = 25x - ( 6x+ 15 )
= 25x - 6x - 15 ( Associative property )
= 19x - 15