The quadratic formula, using square roots, factoring, and completing the square are the four ways to solve a quadratic problem.
what is quadratic equation ?A quadratic polynomial in a single variable is x ax2+bx+c=0, which is a quadratic equation. a 0. The fact that this polynomial is of second order guarantees that it has at least one solution according to the Fundamental Theorem of Algebra. Solutions could be straightforward or difficult. A quadratic equation is one that has four variables. This suggests that at least one word in it has to be squared. One of the common formulas for solving quadratic equations is "ax2 + bx + c = 0." where the undefined variable "X" is represented by the numerical coefficients or constants a, b, and c.
given
Standard Form: y = a x 2 + b x + c y=ax^2+bx+c y=ax2+bx+c.
Factored Form: y = a ( x − r 1 ) ( x − r 2 ) y=a(x-r_1)(x-r_2) y=a(x−r1)(x−r2)
Vertex Form: y = a ( x − h ) 2 + k y=a(x-h)^2+k y=a(x−h)2+k.
The quadratic formula, using square roots, factoring, and completing the square are the four ways to solve a quadratic problem.
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A hockey team scored the following number of goals in their last 5 games:
2,3,5, 3,2
Which is the mean absolute deviation of the number of goals?
Hurry pls
The mean absolute deviation of the number of goals is 0.8 goals
What is Mean Absolute Deviation ?The average distance between each data value and the mean is known as the mean absolute deviation (MAD) of a data collection. A measure of variance in a data collection is the mean absolute deviation. We may determine how "spread out" the values in a data collection are by looking at the mean absolute deviation.
The average distance between data points and a center point is referred to as mean absolute deviation. N is the number of words in the sample, where xi is the sample's individual value and x is the sample's mean or average.
Enter the numbers in the provided input box, separated by commas.To determine the mean absolute deviation for a set of data, click the "Calculate" button.To obtain the mean absolute deviation for the various figures, click the "Reset" option to clear the fields.The mean of the goals scored is = (2+3+5+3 +2)/5 = 3
The Mean Absolute Deviation is = [tex]\frac{1}{5}\{|(2-3)| + |(3-3)| + |(5-3)| + |(3-3)| + |(2-3)|}\}\\[/tex] = 4/5 = 0.8
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One angle of a triangle measures 45°. The other two angles are in a ratio of 7:20. What are the measures of those two angles?
Answer:
35° and 100°
Step-by-step explanation:
The total angle of a triangle = 180°
The total angle of two angles = 180° - 45° = 135°
One part of the ratio = 135° : (20 + 7) = 5°
The smaller angle = 5° x 7 = 35°
The bigger angle = 5° x 20 = 100°
Answer:
35° and 100°
Step-by-step explanation:
the sum of the 3 angles in a triangle is 180°
the ratio of 2 angles is 7 : 20 = 7x : 20x ( x is a multiplier )
equate the sum to the 3 angles to 180 and solve for x
45 + 7x + 20x = 180
45 + 27x = 180 ( subtract 45 from both sides )
27x = 135 ( divide both sides by 27 )
x = 5
Then
7x = 7 × 5 = 35
20x = 20 × 5 = 100
the measure of the 2 angles is 35° and 100°
A right triangle has two sides with lengths 10 and 10. What is the length of its third side?
Answer:
its C
Step-by-step explanation:
A regular square pyramid has base edge b, height h, and slant height l. Three expressions give the surface area, A, of this pyramid. Which expression does NOT?
Answer:
1/3 . Abase . height
Step-by-step explanation:
Please find attached the complete question
a square pyramid is a pyramid that has a square base.
total surface area measures the total area of the surfaces of an object
the formula 1/3 x Area of the base x height is used to calculate the volume of the pyramid and not the surface area
I Don't know how to do this, please help me!! :( number 19
Answer:
Step-by-step explanation:
#19. m∠JML = 126°
#20. [tex]P_{JKLM}[/tex] = 50 units
5 3/4 as a fraction greater then one
Answer:
23/4
Step-by-step explanation:
Answer: yes
Step-by-step explanation:
Please help
VX is a midsegment of UWY
IF UY=13p-1 and VX=20p-95 what is UY
The length UY of the triangle is 90 units
How to determine the length UYFrom the question, we have the following parameters that can be used in our computation:
VX is a midsegment of triangle UWYUY = 13p - 1 and VX = 20p - 95This means that
UY = 2 * VX
Substitute the known values in the above equation, so, we have the following representation
13p - 1 = 2 * (20p - 95)
Evaluate the products
13p - 1 = 40p - 190
So, we have
40p - 13p = 190 - 1
So, we have
27p = 189
Divide by 27
p = 7
Substitute p = 7 in UY = 13p - 1
UY = 13 * 7 - 1
So, we have
UY = 90
Hence, the length is 90 units
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A scale drawing of a rectangular playground has a length of 30 inches and a width of 20 inches as shown. The scale is 1 inch = 15 feet. What is the area of the actual playground?
10 points
Answer:
Step-by-step explanation:
L x W = A
L = 30 * 15 = 450.
L = 450.
L x W = A
450 x ? = A
W = 20 X 15
W = 300.
L x W = A
450 x 300 = A
A = 135,000
Solve for x in the triangle. Round your answer to the nearest tenth.
6
X
69°
X
hello i am just need points so sorry you didnt get answer
14)
Which statement best describes the solutions of a two-variable equation?
A)
The ordered pairs must lie near the graphed equation.
B)
The ordered pairs must have x = 0 for one coordinate.
C)
The ordered pairs must lie on the graphed equation.
D)
The ordered pairs must have y = 0 for one coordinate.
PLEASE HELP!!
Answer:
Solution of a System. In general, a solution of a system in two variables is an ordered pair that makes BOTH equations true. In other words, it is where the two graphs intersect, what they have in common. So if an ordered pair is a solution to one equation, but not the other, then it is NOT a solution to the system.
Answer: A) The ordered pairs must lie near the graphed equation
Please does anyone know the answer to c & d
Answer:
c = 8^5
d = 7^2
Step-by-step explanation:
Answer:
c) =8^5
d) =7^2
Step-by-step explanation:
i hope this helps :)
Can the sine ratio of an acute angle be greater than 1?
No, the sine ratio of an acute angle cannot be greater than 1.
What is an acute angle?
Each angle in an acute triangle must be less than 90 degrees. A triangle is not an acute triangle even if one of its angles is 90 degrees. Because all angles (60°) are less than 90°, an equilateral triangle, for instance, is always sharp.
Here,
We have to determine whether the sine ratio of an acute angle can be greater than 1 or not.
We concluded that the value of the Sine ratio will always be between zero and one.
The Sine ratio is related to one of the acute angles of a right triangle such that the sine of the acute angle is the ratio of the side opposite the specific acute angle (the reference angle) to the hypotenuse.
Hence, the sine ratio of an acute angle cannot be greater than 1.
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what is the coefficient for x in 8+ x/2
Answer: x= 8+ x over 2 = x over 2 + 8
Step-by-step explanation:
4. Given the function g(x) = 3x - 5, find the value of g(2).
Answer:
g(2)=1
Step-by-step explanation:
g(x)=3x-5
Putting the value of x in the equation.
g(2)=3(2)-5
g(2)=6-5
g(2)=1.
Is
233
in the sequence below?
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Answer:
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In 2016 the population of North Carolina was approximately 1 × 10^7. The population of Raleigh was approximately 4.6 × 10^5. How many times larger was the population of North Carolina than the population of Raleigh, to the nearest whole number?
The model below represents 2 x + 1 = negative x + 4. 2 green long tiles and 1 green square tile = 1 long red tile and 4 square green tiles What is the value of x when solving the equation 2 x + 1 = negative x + 4 using the algebra tiles? x = negative 3 x = negative 1 x = 1 x = 3
Answer:
The model you described is a mathematical representation using algebra tiles, and it represents the equation 2x + 1 = -x + 4.
Step-by-step explanation:
To solve this equation for x, we need to isolate x on one side of the equation by using the operations of algebra (such as addition, subtraction, multiplication, and division).
In this case, we can start by adding x to both sides:
2x + 1 + x = -x + 4 + x
This gives us:
3x + 1 = 4
The next step would be to subtract 1 from both sides:
3x = 3
then we divide both sides by 3
x = 1
So x=1 is the solution.
The algebra tiles help to visualize the manipulation of equations, but the actual solving process is algebraic manipulation of the equation.
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Quetion
Suppoe a plane flie 48 mile in 12 minute. The relationhip between mile flown, x, and minute flown, y, by the plane can repreented by the equation y = 14x. How far will the plane fly in 28 minute?
Repone
A 120 mile120 mile
B 116 mile116 mile
C 112 mile112 mile
D 124 mile
The plane will fly 392 miles in 28 minutes. Therefore, the answer is D) 124 miles.
What is the relationship between distance and time?
The important thing is that speed is always the ratio of the distance traveled to the time needed to travel that distance: distance/time.
To find out how far the plane will fly in 28 minutes, we need to substitute x = 28 into the equation y = 14x.
y = 14x represents the relationship between the distance flown (y) and time flown (x).
Substituting x = 28 into the equation:
y = 14 * 28 = 392
Hence, the plane will fly 392 miles in 28 minutes.
Therefore, the answer is D) 124 miles.
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Think about all the models and strategies you have discussed today. Describe how one of them helped you better understand how to find the slope of a line.
Answer:
I could find the slope of a line by looking at the gradient of a graph that the line creates. If the line is linear, then the gradient will be a constant value, which I can use to find the value of the slope. If the line is not linear, then I can use a derivative to find the slope at a given point. However, if the line is concave or concave up, then I will need to take the second derivative of the equation to determine which point on the line is closest to the point that I'm trying to calculate.
Step-by-step explanation:
Work out 37% of 4618.57
Give your answer to 1 decimal place.
Answer:
37/100(4618.57)
170887.09/100
1708.9
The solution of the given expression is 1708.9.
What is percentage?A percentage is a value that indicates 100th part of any quantity.
A percentage can be converted into a fraction or a decimal by dividing it by 100.
The given expression is as below,
37% of 4618.57
It can be simplified as follows,
37% of 4618.57
= 37/100 × 4618.57
= 1708.87
It can be approximated as 1708.9.
Hence, the given expression can be worked out up to one decimal place as 1708.9.
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can someone help me with this I'll give a crown thing please hurry!
Answer:
1) 1: 107
2: 73
3: 107
4: 73
5: 107
6: 73
7: 107
8: 73
3) 1: 128
2: 52
3: 128
4: 52
5: 128
6: 52
7: 128
8: 52
Step-by-step explanation:
Vertical, corresponding, alternate exterior, and alternate interior angles are all congruent (equal). Angles such as same side exterior and same-side interior are supplementary; meaning these angles add up to 180°.Dylan opened a credit card account with $575.00 of available credit. Now that he has made some purchases, Dylan's account only has $465.75 of available credit. What is the percentage decrease of the amount of available credit in Dylan's account?
Answer:
19%
Step-by-step explanation:
First, we have to find how much did he spend by taking
$575.00 - $465.75 = $109.25
Then we find the percentage decrease by taking
109.25 divided by 575, then times 100% = 19%
So, the percentage decrease of the amount of available credit in Dylan's account is 19%
Pls can someone answer these two I will give brainliest and 30 points
Answer:
The first one is false.
3(2 ÷ x)
The second is true.
What is the degree of the polynomial √ 3?
The degree of the polynomial √3 is 1.
What is polynomial?Polynomial is an expression consisting of variables and coefficients, that involves only the operations of addition, subtraction, multiplication and non-negative integer exponents of variables. Polynomials are often used to solve problems in algebra, geometry, calculus and other branches of mathematics.
A polynomial is an expression made up of variables, constants, and exponents.
A polynomial is said to have a degree when the highest degree of any of its terms is known.
The degree of a polynomial is determined by the highest exponent of a given term. In the case of √3, the exponent is 1, making the degree 1.
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Draw a model for the fraction 1/6
Answer:
Hope the picture helps you draw.
Step-by-step explanation:
You select a marble from a bag of yellow and green marbles and put it back. You record how many yellow marbles are selected in two attempts. The graph shows the theoretical probability distribution.
Which could be the contents of the bag?
A. 2 yellow, 2 green
B. 2 yellow, 4 green
C. 3 yellow, 2 green
D. 2 yellow, 3 green
The there is 3 yellow, 2 greens marble in the bag because there is less probability of 0 yellow, number of yellow should be higher than number of greens option (C) is correct.
What is probability?It is defined as the ratio of the number of favorable outcomes to the total number of outcomes, in other words the probability is the number that shows the happening of the event.
We have a graph shows the theoretical probability distribution.
As you select a marble from a bag of yellow and green marbles and put it back. You record how many yellow marbles are selected in two attempts.
Since, there is less probability of 0 yellow, number of yellow should be higher than number of greens.
Thus, the there is 3 yellow, 2 greens marble in the bag because there is less probability of 0 yellow, number of yellow should be higher than number of greens option (C) is correct.
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what are the nouns in this sentence?
Answer:
A noun is most commonly taught a person, place, or thing and sometimes idea. In this sentence, it would be Magazine, Americans, and carbohydrates. And if smith is also part of the sentence, he is a person, so its also a noun. :) Happy learning friend
Which equation represents a linear function?
y – 2 = –5(x – 2)
x + 7 = –4(x + 8)
y – 3 = y(x + 4)
y + 9 = x(x – 1)
Need help I’m not sure how to answer it will give 30 points
2) Jenny has a water tank that needs to be
filled up. The water tank can hold 500 gallons
of water. She adds 20 gallons of water every
hour. How many hours does it take for Jenny
to be able to fill up the tank?
It will take 25 hours for Jenny to fill up the tank.
To solve this problem, we divide the capacity of the tank by the rate at which it is being filled:
500 gallons / 20 gallons/hour = <<500/20=25>>25 hours