If the quadratic is y = a*x^2 + b*x + c
the coordinates of the vertex are:
x = -b/2a
y = (1/2a)*( -0.5*b^2 + c)
How to find the coordinates of the vertex?For a quadratic equation in standard form:
y = a*x^2 + b*x + c
The x-value of the vertex is given as:
x = -b/2a
Once we get the x-value of the vertex, we can get the y-value by evaluating the quadratic equation in x = -b/2a, we will get:
y = a*(-b/2a)^2 + b*(-b/2a) + c
y = b^2/(4a) - b^2/2a + c = (1/2a)*(b^2/2 - b^2 + c)
y = (1/2a)*( -0.5*b^2 + c)
Then the coordinates of the vertex are:
x = -b/2a
y = (1/2a)*( -0.5*b^2 + c)
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What are mathematical formulas placed in software that performs an analysis on a data set?
Algorithms are mathematical formulas placed in software that performs an analysis on a data set.
What are algorithms?Algorithms are mathematical formulas that are used in software to analyze data sets. An algorithm is a finite sequence of rigorous instructions used to solve a class of specific problems or to perform a computation in mathematics and computer science. Algorithms serve as specifications for calculating and processing data. More sophisticated algorithms can perform automated deductions (also known as automated reasoning) and use mathematical and logical tests to route code execution through different paths (referred to as automated decision-making). Alan Turing pioneered the use of human characteristics as metaphorical descriptors of machines with terms like "memory," "search," and "stimulus."Therefore, algorithms are mathematical formulas placed in software that performs an analysis of a data set.
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PLEASEEEEKKEJES HELPPPPPPPPO :)))
Answer:You have it right I think
2.46*10^6
Step-by-step explanation:
Because you move the decimal point over 6 spots which gives you the 10 to the sixth.
Three more than twice a number is less than negative thirteen. Solve the inequality for the unknown number.
Answer:
Step-by-step explanation:
The number = x
Three more than the number = x + 3
twice the number = 2x
which means:
2x + 3 < -13
2x + 3 -3 < -13 -3 (subtract 3 from both sides)
2x < -16
2x/2 < -16/2 (divide 2 from both sides)
x < -8
Determine which of the four levels of measurement (nominal, ordinal, interval, ratio) is most appropriate. ages of children: 5, 6, 7, 8, and 9
There are four levels of measurements in statistics, namely nominal, ordinal, interval, ratio. These levels are important when it comes to analyzing data, since it helps us determine the technique that we can use to support or refute our study.
In the nominal level, we can categorize data but they cannot be ranked. An example would be hair color. In an ordinal data, the data can be both categorize and ranked, but doing mathematical calculation may not make sense. Also, the intervals between rankings doesn't necessarily dictate how close or far apart the data are.
A good example is level of education. In an interval level, the data can be categorized, ranked, and measured but they do not have a true zero. An example could be a range of values that does not include zero. Lastly, in the Ratio level the data can be categorized, rank, and measured, and it has a true zero.
So ratio level is most appropriate for ages of children. Note that ages can be categorized, rank, and measured .Moreover, an age equal to zero means that there is no age or the absence of age.
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Find the sum of (8.6 x 106) and (3.7 x 105). Write the final answer in scientific notation.
8.97 x 105
8.97 x 106
1.23 x 1010
12.3 x 1011
Answer:
8.97 x [tex]10^{6}[/tex]
Step-by-step explanation:
To add in scientific notation, the exponents need to be the same for the bases of 10. You can either make them both to the exponent of 6 or 5. It does not matter. I made them both to the power of 5
(8.6 x [tex]10^{6}[/tex]) + (3.7 x [tex]10^{5}[/tex])
(86 x [tex]10^{5}[/tex]) + (3.7x[tex]10^{5}[/tex])
(86 x 3.7) x [tex]10^{5}[/tex]
89.7 x[tex]10^{5}[/tex] Rewrite in scientific notation
8.97 x [tex]10^{6}[/tex]
Write an expression to represent the product of -3 and the square of a number decreased by 8
Answer:
-3 X (x^2 - 8)
Step-by-step explanation:
put "the square of a number decreased by 8" in parentheses so when -3 is multiplied with that, it does not get multiplied with y^2 and -8.
anytime you see "a number" in a sentence, put it as a random variable, in this case, I decided it should be "x".
How to solve 1000/11 via long divison… pls help with full working out
Make sure the green line is on the mean value of x = 44. next, move the green line one standard deviation to the right. what z-score is associated with this value?
Z = 1.00, z-score is associated with this value.
Why is z-score important?
Because they allow for a comparison between two scores that do not belong to the same normal distribution, z-scores are significant. They are also employed to determine the likelihood that a z-score will occur inside a normal distribution. A negative z-score indicates that the raw data is smaller than the mean.What Is a Z-Score?
A Z-score is a metric that quantifies how closely a value relates to the mean of a set of values. Standard deviations from the mean are used to measure Z-score. A Z-score of zero means the data point's score is the same as the mean score.one std dev to the right
so, Z = 1.00
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The complete question is?
Converting to z-Scores Conceptual Overview: Explore how an original or "raw" score can be expressed as a 7-score using the mean and standard deviation of the variable. The dot plot below shows the sizes for five classes with a mean of 44 and standard deviation of 8. The dynamic equation shows the mathematical conversion to z-scores in real-time. Drag the vertical line to see the corresponding 2-score for each possible class size. 2 42-44 = 8 -0.25 s x = 42 32 54 mean x = 44 z = -0.25 -1.50 0.25 1.24 mean z=0 Created by Gary H. McClelland, Professor Emeritus University of Colorado Boulder Cengage Learning. All Rights Reserved 1. Make sure the green line is on the mean value of x = 44. Next, move the green line one standard deviation to the right. What z-score is associated with this value?
Genes a and b are 10 mu apart. a man has an ab/ab genotype. his father was ab/ab. he marries a woman who is ab/ab. what is the likelihood they will have an ab/ab child?
The probability that they will have an ab/ab child is 5%
Probability is how likely an event is to happen. It is measured by the ratio of the number of good cases to the total number of cases that could happen.
ab/ab (female) x ab/ab (male)
Possible alleles: [Find the alleles of the parents first, because the rest can be mixed]
AB (parental)
ab (parental)
Ab (recombinant)
aB (recombinant)
The m.u. tells us that recombinant alleles happen 10% of the time. If a child is (Ab/ab), then (ab) would come from the father, and (Ab) would come from the mother.
Given the mother has allele ab/ab looking at probabilities there is 50%chance that the child will inherit the allele and a 10% chance for the recombination to happen.
P(ab/ab)= (50%) (10%) = 5%
hence the answer is 5%
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Givien f (x) = -3x-1, solve for x when f(x) =-10
Answer:
x = 3
Step-by-step explanation:
Since both have f(x), the substitution method can be used.
1. f(x) = -3x - 1
2. f(x) = -10
Therefore,
-3x - 1 = -10
Flip to positive to calculate more easily since all are negative (although, this is optional.)
3x + 1 = 10
3x + 1 - 1 = 10 - 1 (to make one side x and other side number)
3x = 9
x = 3
Hope this helped! ^^
9 times the sum of 9b and 2
Answer:
9(9b+2)
Step-by-step explanation:
The words 'the sum of mean parenthesis.
And so 9 would be outside the parenthesis, then 9b and 2 would be inside.
Not sure how to go about this
The formula for finding the perimeter of a rectangle is p= 2l 2w solve the formula for w.
Answer:
w = [tex]\frac{p -2l}{2}[/tex]
Step-by-step explanation:
p = 2l + 2w Subtract 2l from both sides of the equation
p - 2l = 2p Divide both sides by 2
[tex]\frac{p -2l}{2}[/tex] = w
how many terms are in 7w +2g+3 + 8w
Answer: 4! Terms are numbers with letters, letters, or simple numbers in an equation! Hope this helps!
Answer:
4
Step-by-step explanation:
The numbers count as terms, but anything else doesn't
9(y^2+x)=18 in standard form
Answer:
9y^2 + 9x - 18 or 9(y^2 + x - 2)
Step-by-step explanation:
9(y^2+x)=18
9y^2 + 9x=18
9y^2 + 9x - 18 = 0
9(y^2 + x - 2) = 0
How would you write 730,812 in word form?
Answer Seven hundred and thirty thousand eight hundred twelve
tyler wants to buy a new game system that costs $240 tyler has already saved $32 but he needs to make a plan so he can save the rest of the money he needs he decided to save the same amount of money x dollars each month for the next four months, write an equation that helps tyler determine the amount of money he must save each month, solve the equation to find the amount of money he must save each month to meet his goal of buying a new game system
Answer: He must save $52 per month
Step-by-step explanation: 240-32= 208/4= 52
What is the slope of the line?
1/2
-1/2
-2
2
Answer:
1/2
Step-by-step explanation:
What is 12 1/2% of 300
Answer:
37.5
Step-by-step explanation:
Answer: 37.5
Step-by-step explanation:
12.5% of 300=37.5
Why is 3x1/10 less than 3x10 I need help ASAP
A the value of 1 ten is less than the value of 1 tenth
B the value of 1 tenth is less than the value of 3 tenths
C The value of 1 ten is less than the value of 3 tens
D The value of 1 tenth is less than the value of 1 ten
Answer:
The value of 1 tenth is less than the value of 1 ten
Step-by-step explanation:
1 tenth = 0.1
1 ten = 10
0.1 is way less than 10 so that is why 3 x 1/10 is less than 3 x 10. Even though the 3 is the same, 1/10 is less than 10 so that is why 3 x 1/10 has less value.
The solution to a system of equations is (2,-4).one equation in the system is 2x+y=0.explain how you can find a second equation for the system.then find a second equation.solve by system of equations to justify your answer
The second equation is 3x + y = 2.
Let the other equation be of the form ax + by = c, where a, b and c are constants.
Given equation is 2x + y = 0
We have, a₁ = 2 and a₂ = 1
And b₁ = a and b₂ = b
Since, both equations have a unique solution,
∴ a₁ ÷ b₁ ≠ a₂ ÷ b₂
2 ÷ a ≠ 1 ÷ b
2b ≠ a … (1)
Also, (2, -4) is the solution of the equations, so it will satisfy the equations
2a - 4b = c
b = (2a - c)/4
Let c=2
b = (2a - 2) ÷ 4
b = 1
Now we can take any value for a and b which satisfy eq.(1)
Let a=3
b = (2(3) - 2) ÷ 4
b = 1
Thus, a = 3 and b=1 satisfy eq.(1)
Hence the second equation is 3x + y = 2
The equations are justified by keeping the values -
2x+y=0 ... (2)
3x+y=2 ... (3)
From eq.(2),
y=-2x
Putting value of y in eq. (3), we get,
3x+(-2x)=2
3x-2x=2
x=2
Now, putting x=2 in eq.(2)
2(2)+y=0
y=-4
Hence, the solution is justified.
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The records of four baseball teams are shown below. Which team had the greatest percent of wins?
Rattlers won 95 and lost 65. Cobras Won 92 and lost 58. Boas Won 94 and lost 66. Pythons won 96 and lost 64.
the Boas
the Cobras
the Pythons
the Rattlers
Answer:
The Cobras
Step-by-step explanation:
I just took the test
Answer:the Cobras
Step-by-step explanation:
Which situation could be represented by the equation-30 + 30=0 ?
Answer:30x0
Step-by-step explanation:
The perimeter of the quadrilateral below is 119 units. Find the length of side AB.
Answer:
Step-by-step explanation:
Jacob has 298 baseball cards. About how many
baseball cards does Jacob have? Round to the
nearest 100.
Answer:
300
Step-by-step explanation:
5 or more raise the score 4 or less let it rest basically 5 or more up 4 or less down
HELP WITH EXPLANATION!!
Show that the function f(x) = x³ + 5/x. is even, odd, or neither.
Answer:
The function is odd.
Step-by-step explanation:
A function is always odd when f(−x) = −f(x). In this case, that rule applies.
[tex]-f(x)=-(x^3+5/x)\\-f(x)=-x^3-5/x\\-x^3-5/x=-x^3-5/x = odd[/tex]
how any tablespoon of kernals per cup of popcorn
Answer:
2 Tablespoons make 4 cups. Popcorn pops to 40 times its original size. One ounce. 2 Tablespoons of kernels makes about 4 cups of popcorn. Four cups of popcorn have 125 calories :))
Authors note:
I really hoped this helped! :)))
Graph the inequality x<3.
To graph an inequality, select the correct type of ray and then select the correct endpoint on the number line.
Answer:
You would start at 3 and then go backwords till the end.
So you'd choose the 3 option. <-o
Only use the filled in o if the equation is <_ with the line underneath, if its like < then its o
Hope this helps! <3
Vector u has a magnitude of 10inches with a direction angle of 45 degrees. vector v has a magnitude of 10 inches and a direction angle of 225 degrees. what are the magnitude and the direction angle for the resultant vector?
The magnitude of the vector is 10√2 and the direction of the vector is 78.69°
Magnitude and the direction of the vectors:
A vector is a directed line segment with an initial point and a terminal point.
To calculate the magnitude of the vector using the Pythagorean Theorem or the distance formula, and to find its direction using the inverse tangent function.
The formula for the magnitude of the vector is
|v|=√(a²+b²)
And the formula for the direction of the vector is,
θ=tan⁻¹(b/a)
where
(a, b) represents the given point.
Given,
Vector u,
Magnitude = 10 in
Direction angle = 45°
Vector v,
Magnitude = 10 in
Direction angle = 225°
Now we have to find the magnitude by apply the value on it,
=> |v|=√(10² + 10²)
=> |v|=√(100 + 100)
=> |v|=√200
=> |v|=√2 x 100
=> |v|=10√2
Similarly, the direction of the vector is,
=> θ = tan⁻¹ (225 / 45)
=> θ = tan⁻¹ (5)
=> θ = 78.69°
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Help me figure out this piecewise question!! 60 points!
Check the picture below.
