Simplify and identify and x-values for which the expression is undefined. 4x-8 divided by x^2-2x
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Given the functions f(x) = 3x2, g(x) = x2 − 4x + 5, and h(x) = –2x2 + 4x + 1, rank them from least to greatest based on their axis of symmetry.
Express the ratio below in its simplest form 4 : 2 : 2
Which angle is adjacent to ZCGD?BGсDE
Which quadratic function has a leading coefficient of 2 and a constant term of –3?f(x) = 2x^3 – 3 f(x) = –3x^2 – 3x + 2 f(x) = –3x^3 + 2 f(x) = 2x^2 + 3x – 3
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Answer:
This statement is false
Step-by-step explanation:
To get the 25s on one side, you would need to subtract 25s from both sides but that leaves you with 450 =79 which is not true.
450+25s=79+25s
subtract 25s to both sides:
450=79
this is FALSE
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The temperature reach to 48 degree Celsius in 2.5 minutes.
What is Equation?
Equations are mathematical statements with twoalgebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given:
The temperature T in degrees Celsius of a liquid t minutes after heating is given by the formula T=8√t.
So, when the temperature = 48 degree Celsius
48 = 8√t
48/ 8 = √t
6 = √t
t= 2.445
t= 2.5 min
Hence, the time will taken 2.5 min.
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T=temperature
t=time in minutes.
If T=48, we have to calculate the time.
48=8√t
(48)²=(8√t)²
2304=64t
t=2304 / 64=36
answer: 48 degrees Celsius will be reached in 36 minutes.
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Answer:
39
Step-by-step explanation:
If ZABC is a 90 degree angle all together and ZDBC is 51 degrees
Subtract 51 from 90 to get the angle for ZABD
90-51=39
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The probability that in a random sample of 6 respondents from this survey, exactly 2 favor the proposed regulation and 4 oppose it is approximately 0.15808.
To determine the probability of exactly 2 voters favoring the proposed regulation and 4 opposing it in a random sample of 6 respondents, we need to use the concept of combinations and probability.
In the given survey, out of 25 voters, 17 favor the regulation and 8 oppose it. We want to select exactly 2 from the 17 favorable voters and exactly 4 from the 8 opposing voters.
To denote the probability of a voter favoring the regulation as p (probability of success) and the probability of a voter opposing the regulation as q (probability of failure).
We can calculate these probabilities as:
p = (number of favorable voters) / (total number of voters)
p = 17 / 25
q = (number of opposing voters) / (total number of voters)
q = 8 / 25
Now, the probability of selecting exactly k successes in n trials, known as the binomial probability:
Substituting the values into the formula, we have:
Using the combination formula:
= 6! / (2! * (6-2)!)
= 6! / (2! * 4!)
= (6 * 5) / (2 * 1)
= 15
Substituting the values into the formula, we have:
P(X = 2) = 0.15808
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The general formula is:
x^2 + y^2 = r^2
where x and y form the circle while r is the radius.
You already have the problem set up in its general form and you don't want the radius squared... so square root everything.
If you do that then you'll get:
x + y = 5
where 5 is the radius and NOT the radius squared. If you have questions then leave a comment. Good luck!