Answer:
a = 2, b = -5, c = 3
Step-by-step explanation:
The standard form of the quadratic equation is a*x^2 + bx + c = 0
Looking at the equation you have, we should correspond the coefficients with the standard form I wrote above.
so. a = 2, b = -5, c = 3
.
Solve the system using elimination.
x-3y = -9
- x + 5y = 17
PRESENTER
THE
The solution is
(Simplify your answer. Type an ordered pair.)
help plz it’s systems of equations
Answer:
The answer is x=3 and y=4 (3,4).
Answer:
y=4
x=3
Step-by-step explanation:
Add the two equations to eliminate x.
2y=8
y=4
x-3y=-9
x-12=-9
x=3
Quadrilateral BCDE is inscribed in circle A as shown. divides the quadrilateral into two triangles, ∆BCD and ∆BED. Which statement is true about the triangles?
Answer: If a translation of t-3,-8(x, y) is applied to square abcd what is the y-coordinate of b'? the y-coordinate of is 43 mark this and return save and exit next submit
Answers: 1
Step-by-step explanation:
There are 10 boys in Mr. Lee's class. If 40% of the class are boys, which is the total
number of students in Mr. Lee's class?
Answer:
25
Step-by-step explanation:
if 10=40%what about 100% which is total so you cross multiply and get your answer
There are a total of 25 students in Mr. Lee's class.
What is the percentage?A percentage is a value per hundredth. Percentages can be converted into decimals and fractions by dividing the percentage value by a hundred.
Given, There are 10 boys in Mr. Lee's class and 40% of the class are boys.
let, 'x' be the number of students in the class,
Therefore, 10 is 40% of 'x'.
(40/100)×x = 10.
0.4x = 10.
x = 10/0.4.
x = 25.
So, There are a total of 25 boys in the class.
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Evaluate 4x-8 for x=3 and for x=4
Answer:
a) 4 ; b) 8
Step-by-step explanation:
4×3-8 = 12-8 = 4
4×4-8 = 16-8 = 8
Answer:
a) 4 ; b) 8
Step-by-step explanation:
pls help! will give brainlist!
which triangle is possible?
Answer:
The top triangle.
Step-by-step explanation:
The top triangles numbers are 3,4,5, which is known as a pythagorean triple, which makes a proportionate triangle. There you go! :D
(5) Usain Bolt holds the world record for the 100 meter dash. He ran 100 meters in 9.58 seconds.
Write this as a mixed number
Answer:
100 x 9.58= 958/1
9.58= 9 29/50
Step-by-step explanation:
100 POINTS! I need a thorough word problem that includes a quadratic formula. PLEASE!!!! I will give brainliest if you provide a clear explanation, as well. I really appreciate it :))
Answer:
Quadratic equations are actually used in everyday life, as when calculating areas, determining a product's profit or formulating the speed of an object. Quadratic equations refer to equations with at least one squared variable, with the most standard form being ax² + bx + c = 0.
Here is an example:
Antoine stands on a balcony and throws a ball to his dog, who is at ground level.
The ball's height (in meters above the ground), xxx seconds after Antoine threw it, is modeled by:
h(x)=-2x^2+4x+16h(x)=−2x
2
+4x+16h, left parenthesis, x, right parenthesis, equals, minus, 2, x, squared, plus, 4, x, plus, 16
What is the height of the ball at the time it is thrown?
____meters
here is another example:
2x2 + 5x + 3 = 0 = In this one a=2, b=5 and c=3
Hope that was helpful.Thank you!!!
Answer:
see below
Step-by-step explanation:
Often, the simplest way to solve "ax2 + bx + c = 0" for the value of x is to factor the quadratic, set each factor equal to zero, and then solve each factor. But sometimes the quadratic is too messy, or it doesn't factor at all, or you just don't feel like factoring. While factoring may not always be successful, the Quadratic Formula can always find the solution.
The Quadratic Formula uses the "a", "b", and "c" from "ax2 + bx + c", where "a", "b", and "c" are just numbers; they are the "numerical coefficients" of the quadratic equation they've given you to solve.
The Quadratic Formula is derived from the process of completing the square, and is formally stated as:
The Quadratic Formula: For ax2 + bx + c = 0, the values of x which are the solutions of the equation are given by:
-b ± [tex]\sqrt{b^2 - 4ac}[/tex]
x = ----------------------------------
2a
Use the following compound interest formula to complete the problem. A = P (1 + StartFraction r over n EndFraction) superscript n superscript t Currently you have two credit cards, H and I. Card H has a balance of $1,186.44 and an interest rate of 14.74%, compounded annually. Card I has a balance of $1,522.16 and an interest rate of 12.05%, compounded monthly. Assuming that you make no purchases and no payments with either card, after three years, which card’s balance will have increased by more, and how much greater will that increase be? a. Card I’s balance increased by $53.16 more than Card H’s balance. b. Card I’s balance increased by $13.45 more than Card H’s balance. c. Card H’s balance increased by $35.61 more than Card I’s balance. d. Card H’s balance increased by $49.06 more than Card I’s balance. Please select the best answer from the choices provided A B C D
Answer:
ANSWER
A.Card I’s balance increased by $53.16 more than Card H’s balance.
Step-by-step explanation:
Currently you have two credit cards, H and I. Card H has a balance of $1,186.44 and an interest rate of 14.74%, compounded annually. Card I has a balance of $1,522.16 and an interest rate of 12.05%, compounded monthly. Assuming that you make no purchases and no payments with either card, after three years, which card’s balance will have increased by more, and how much greater will that increase be? And so the total amount would be $53.16.
Card H's balance is decreased by $1579.3 than a card I.
What is Percentage?percentage, a relative value indicating hundredth parts of any quantity.
Given,
Principal(P) = $1,186.44
Interest Rate(r) = 14.74%
Number of time period(n) = 3 years.
Applying the above values in the formula given in the question:
[tex]A=P(1+\frac{r}{n}) ^{nt}[/tex]
A=$1792.2
Amount of Card I after 3 years:
Principal(P) = $1,522
Interest Rate(r) = 12.05%
A number of the time periods (n):
12 months × 3 years=36 months
A=3351.8
Now we take the difference between both the credit cards, we have:
Amount of credit card I - Amount of credit card H
$1579.38
Therefore, card H's balance is decreased by $1579.3 than a card I.
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Ryan and Matt are playing a game by rolling two number cubes, with faces numbered 1 through 6, one after the other. Ryan gets a point when the number on the first cube is an odd number and the number on the second cube is an even number. Matt gets a point when the number on the first cube is 5. The table below shows all possible combinations of numbers on the cubes.
Who is more likely to get a point on the first roll of both the cubes?
A.
Ryan is more likely to get a point, because 13/36>9/36
B.
Matt is more likely to get a point, because 13/36 > 6/36
C.
Both are equally likely to get a point, because 6/36 = 6/36
D.
Ryan is more likely to get a point, because 9/36>6/36
Ryan is more likely to get a point than Matt on the first roll of both cubes.
The fraction of outcomes in which Ryan gets a point is 9/36, which simplifies to 1/4.
The fraction of outcomes in which Matt gets a point is 1/36.
Option A is the correct answer.
What is probability?It is the chance of an event to occur from a total number of outcomes.
The formula for probability is given as:
Probability = Number of required events / Total number of outcomes.
Example:
The probability of getting a head in tossing a coin.
P(H) = 1/2
We have,
To determine who is more likely to get a point, we need to count the number of outcomes that satisfy each condition and then compare the fractions.
Ryan gets a point if the first cube shows an odd number and the second cube shows an even number.
There are three odd numbers and three even numbers,
So there are 3 x 3 = 9 outcomes that satisfy this condition.
Matt gets a point if the first cube shows a 5.
There is only one outcome that satisfies this condition.
Therefore,
Ryan is more likely to get a point than Matt on the first roll of both cubes.
The fraction of outcomes in which Ryan gets a point is 9/36, which simplifies to 1/4.
The fraction of outcomes in which Matt gets a point is 1/36.
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Which equation represents the graph below?
y = 3x - 2
y = -2x + 3
y=3x-2
y = 2x + 3
Answer:
add the graph next time
Step-by-step explanation:
g(t) = -9t – 4
g(
) = 23
Answer:-23
Step-by-step explanation:
I got it right
Your water bill lists a previous reading of 5,520 ccf and a present reading of 5,981 ccf. The water company charges $0.93 per ccf of water. How much will you be charged on the current bill?
Answer:
$428.73
Step-by-step explanation:
The previous reading of the water bill is 5,520 ccf and a present reading of 5,981 ccf.
The number of units used is given as the present reading minus the previous reading.
This means that the number of units used is:
5981 - 5520 = 461 ccf
The water company charges $0.93 per ccf of water.
Therefore, the charges on the current bill will be:
0.93 * 461 = $428.73
a large water tank measures 6 feet across and 4 feet high. it is being filled with water at a rate of 10 gallons per minute. about how many hours will it take to fill the pool if 1 cubic feet of water is about 7.5 gallons? round to the nearest tenth.
At the given rate, it would take 1.2 hours to fill the tank described.
Calculating the VolumeTo find out how many hours it will take to fill the water tank, we need to calculate the volume of the tank and then determine the time it takes to fill it at a rate of 10 gallons per minute.
The volume of the tank can be calculated using the formula for the volume of a rectangular prism.
length x width x height:Volume = 6 feet x 4 feet x 4 feet = 96 cubic feet
Convert this volume to gallons, knowing that 1 cubic foot is about 7.5 gallons:
96 cubic feet x 7.5 gallons/cubic foot ≈ 720 gallonsSo, the tank has a capacity of approximately 720 gallons.
To find the time it takes to fill the tank at a rate of 10 gallons per minute:
Time (minutes) = Volume (gallons) / Rate (gallons per minute)
Time (minutes) = 720 gallons / 10 gallons per minute = 72 minutes
Now, to convert this to hours, divide by 60 (since there are 60 minutes in an hour):
Time (hours) = 72 minutes / 60 minutes per hour ≈ 1.2 hours
Rounded to the nearest tenth, it will take about 1.2 hours to fill the water tank.
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To determine the time to fill the tank, calculate the tank volume in cubic feet, convert that to gallons, and then divide by the rate of water flow and 60 to get the time in hours.
Explanation:To determine how long it will take to fill the tank, we first need to calculate the volume of the tank in cubic feet. The tank is shaped like a cylinder, so the volume V of a cylinder is given by V = πr²h, where r is the radius and h is the height. In this case, the tank has a radius of 3 feet (half of the 6 feet diameter) and a height of 4 feet, so V = π(3)²(4) = π(9)(4) = 36π cubic feet.
Next, we need to consider that 1 cubic foot is equivalent to 7.5 gallons of water. Therefore, the tank capacity in gallons is 36π * 7.5.
We are told the tank is being filled at a rate of 10 gallons per minute. To determine how long it will take to fill the tank, we divide the total number of gallons the tank holds by the rate at which the tank is being filled. This will give the total time in minutes. To convert this time to hours, we then divide by 60, as there are 60 minutes in an hour.
So, the number of hours to fill the tank is (36π * 7.5) / 10 / 60, rounded to the nearest tenth.
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A blanket is 4 feet wide. It is 3 times as long as it is wide. Find the perimeter and area of the blanket.
Answer:
P: 32
A: 48
Step-by-step explanation:
(4+(4*3))*2=32
4*(4*3)=48
The blanket is 4 feet wide and 12 feet long. The perimeter of the blanket is 32 feet and the area is 48 square feet.
Explanation:The blanket is given to be 4 feet wide, and its length is 3 times its width, which means the length is 3 x 4 = 12 feet. Therefore, the blanket is 4 feet wide and 12 feet long.
For a rectangle, the formula for perimeter is 2*(length + width). Plugging in our values gives us 2*(12 + 4) = 32 feet.
The formula for the area of a rectangle is length * width. Using our dimensions, the area is 12 * 4 = 48 square feet.
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A bag contains 40 tickets, each numbered between 1-40. If a ticket is drawn at random, find the probability of it being odd or less than 26
Answer:
you have a 50% chance of getting an odd number and a 60% chance of getting a number less than 26.
Step-by-step explanation:
Between 1 and 40 there are 20 odd numbers
20÷ 40 x 100=50, This means you have a 50% (20:20) chance of getting an odd number.
Between 1 and 40 there 25 numbers less than 26
15÷25 x 100=60, This means you have a 60% (25:15) chance of getting a number under 26.
Final answer:
The probability of drawing an odd ticket or a ticket numbered less than 26 from a bag containing 40 numbered tickets is 4/5 or 0.8, meaning there is an 80% chance to draw such a ticket.
Explanation:
To find the probability of drawing an odd ticket or a ticket numbered less than 26 from a bag containing tickets numbered 1-40, we need to consider the total number of favorable outcomes for each separate event and be careful not to double-count any outcomes that satisfy both conditions.
Firstly, there are 20 odd numbered tickets (1, 3, 5, ..., 39) which satisfy the first condition. For the second condition, there are 25 tickets that are numbered less than 26 (1, 2, 3, ..., 25).
However, half of the tickets less than 26 are odd (1, 3, 5, ..., 25), which we've already counted. So, we should only add the even numbered tickets that are less than 26 to get the total number of favorable outcomes. There are 12 even numbered tickets less than 26 (2, 4, 6, ..., 24).
Adding the odd numbered tickets (20) to the unique even numbered tickets less than 26 (12), we get a total of 32 favorable outcomes.
Since there are 40 tickets in total, the probability of drawing a ticket that is either odd or less than 26 is 32/40.
To simplify, divide both numerator and denominator by their greatest common divisor which is 8, giving us 4/5 or 0.8, which means there's an 80% chance of drawing a ticket that meets the criteria.
Two triangles are shown.
al
0
V
V
o
1
*not drawn to scale
/
/
can AA criterion be used to show that A POR-AYZX? Move options to the blanks to complete the proof.
1. Rotate A POR 180° counterclockwise about point to take point P to point
2. Show that the image of side RP aligns with side and the image of side PQ aligns with side
3. Dilate the image of PQR to take the image of point R to point
4. Show that the image of side QR aligns with side
XY
ZX
Answer: from the 2 triangles v and 1 are not correct so it will be option A
Step-by-step explanation:
If the length of the 45° region of
this circle is 10 inches, what is the
radius of the circle?
Answer:
Your answer is 1.6 inches.
Step-by-step explanation:
[Grade 7 maths]
I really hope I’m correct saying y squared + y is equal to y(2y)
Answer: No, it is equal to y² + y
Step-by-step explanation:
No, you are incorrect.
Lets break it down.
Y squared means y to the power of two, which looks like this:
y²
Then, you have to add a y, so the end result should look like this:
y² + y
A gift box has the shape of a rectangular prism how much wrapping paper do you need to cover the box
2
You need _ in. Of a paper to cover the box
Answer:
654in squared
Step-by-step explanation:
Your credit card limit is $5,000, and your current balance is $4,500. Your credit score will increase by 10 points for every $250 decrease in your balance. At the end of the year you have paid down your balance to $2,500. By how many points has your credit score increased?
Answer:
80
Step-by-step explanation:
4500-2500 is 2000 dollars reduction, or money paid off.
For every 250 dollars, there is a 10 points increase. 2000 divided by 250 is 8. There are 8 sets of 250 dollars. So, for every 250 dollars (you have 8 of them), 10 points increase. Therefore, you multiply 10 by 8.
10x8 = 80. Your credit score has increased by 80 points.
At the end of the year, my credit score would have increased by 80 points.
If my current balance is $4500 and at the end of the year, my balance is $2500. It means that the total decrease in my credit balance is $2000 ($4500 - $2500).
In order to determine the total increase in the number of points, the first step is to determine the amount of 250 that is in 2000. In order to do this, the first step would be to divide 2000 by 250.
2000 / 250 = 8
The second step is to multiply 8 by 10
8 x 10 = 80 points.
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A CD is shaped like a circle wit a diameter of 12 cm. to the nearest centimeter what is the circumference of the CD
Answer:
The answer is that the circumference of the CD is 37.7 cm.
Answer:
38cm
Step-by-step explanation:
The Great Pyramid of Giza is an example of a square pyramid and is the last surviving structure considered a wonder of the ancient world. The builders of the pyramid used a measure called a cubit, which represents the length of the forearm from the elbow to the tip of the middle finger. One cubit is about 20 inches in length. The height of the great pyramid is?
Answer:
The height of the great pyramid is:
303.6 cubits approximately.Or:
5464.6 inches approximately.Step-by-step explanation:
The Great Pyramid of Giza could be said to have two heights: one at the time of being built and the other that can be currently measured, however, to answer the question, the current height has been used, which is 303.6 cubits (I give the answer in this unit because it was the one used by its builders).
There is a slight discrepancy with the values given in the exercise: one cubit equals 18 inches, not 20.
Answer: 3560 in
Step-by-step explanation: algebra nation told me so
Daria has 8 pages in her scrapbook. There are 4 pictures
on each page. How many pictures are in her scrapbook?
Answer:
32
Step-by-step explanation:
Since Daria has 8 pages with 4 pictures on each page, you have to multiply 8 by 4.
8 × 4 = 32
There are 32 pictures.
please leave explanation thank you also brainliest
Answer:
x=-2
Step-by-step explanation:
1. Convert base
(1/64) to (4^-3)
2.Apply exponent rule
4^-3(2x+10)
3. 4x-10=-3(2x+10)
4.Expand
4x-10=-6x-30
4x-10+10=-6x-30+10 (add 10 to both sides)
4x=-6x-20 (simplify)
4x+6x=-6x-20+6x (add 6 to both sides)
5. 10x=-20 (divide both side by 10)
6. Then you get x= -2.
Gio is standing at the base of his house. He measures the angle of elevation to the top of a nearby high rise to be
50°. He decides to go to the roof of his house standing in the same position and measures the elevation to the top
of the same high rise to be 25°. If the height of the high rise is 150 meters tall, how tall is the house? How much
taller is the high riser than the house? Draw a diagram
Answer:
the apartment building is 31.2 meters
Step-by-step explanation:
Ned created a video that was originally 40 minutes
long, but he ended up cutting it by 8 percent. How
long was his video after he cut it?
PLZ HELP HURRYYY
Answer:
36.8 minutes or 36 minutes 48 seconds
Step-by-step explanation:
8 percent of 40 is 3.2
(.08 times 40)
40 minus 3.2 is 36.8 :)
(.8 times 60 is 48)
Answer:
36.8 minutes long
Step-by-step explanation:
8 percent is 3.2
40 - 3.2 = 36.8
Suppose that an urn contains 3 black marbles, 7 yellow marbles, and 10 green marbles. If one marble is selected, determine the probability that it is green. The answer should be an integer or a simplified fraction.
Answer:
1/2
Step-by-step explanation:
Simple probability is a ratio of the number of ways the thing we want to happen can to the total possible outcomes.
(For example, we flip a coin and want heads, but it can land on heads or tails. Our probability of getting heads is 1/2, one way to get heads over the 2 possible outcomes)
So for this problem, there's 20 possible things that CAN happen (3 + 7 + 10) and 10 ways we get what we want (a green marble).
Our probability of getting a green marble is [tex]\frac{10}{20\\}[/tex], which simplifies to [tex]\frac{1}{2}[/tex]
Find the linear equation that represents the scenario.
y= 235x + 15
y= 4x + 955
y= 15x + 235
y= 3x + 705
Answer: y=235x+15
Step-by-step explanation:
Answer:
y=235x+15
Step-by-step explanation:
Find the volume of this triangular prism if b = 10, h = 6 and L = 11
Answer:
pretty sure its 330 - 10×6÷2=30 × 11? srry if I'm mentally retxrted
The weather report stated that there was a 14
chance of snow on Monday, but Tuesday was less likely to snow. What is a possible probability of snow on Tuesday as a percentage? Enter your answer as a whole number.
Answer:
any whole number between 0 and 14, so 13 would work as a possible solution.
Step-by-step explanation:
0<x<14