Answers
Answer:
a. f(-1)=12
b. f(2t)=16t²-6t+5
c. f(t-2)=4t²-19t+27
Step-by-step explanation:
For a, b, c, we are given an input. We plug that into f(x) to find our answers.
a. f(-1)=12
f(-1)=4(-1)²-3(-1)+5
f(-1)=4+3+5
f(-1)=12
-------------------------------------------------------------------------------------------------------------
b. f(2t)=16t²-6t+5
f(2t)=4(2t)²-3(2t)+5
f(2t)=4(4t²)-6t+5
f(2t)=16t²-6t+5
-------------------------------------------------------------------------------------------------------------
c. f(t-2)=4t²-19t+27
f(t-2)=4(t-2)²-3(t-2)+5
f(t-2)=4(t²-4t+4)-3t+6+5
f(t-2)=4t²-16t+16-3t+6+5
f(t-2)=4t²-19t+27
Related Questions
Li-Hua wants to create a triangular fame. She has two pieces of wood, which are 6 inches long and 9 inches long, to use for two sides of the triangle. Which of the following CANNOT be the lenth of the third frame and why?
a) 4 inches
b) 6 inches
c) 13 inches
d) 16 inches
Answers
Answer:
16 inches
Step-by-step explanation:
in a triangle, the sum of any two sides must be greater than the third side
Please help me and answer this in 20 mins please
Answers
a) The perimeter of question a's shape is 18 units.
b) The answer to question b is 28 ft.
In a triangle ABC, AB=AC and ˂A=70°, find the angles,˂B and ˂C
please help !!!!!! i will mark brainliest for the best answer
Answers
Since A = 110 degrees, so B + C = 180 - 110 = 70 degrees.
Since AB = AC, we have B = C.
Therefore, B = C = 70/2 = 35 degrees.
the product of nine and the difference between a number and five
5-9x
9(x-5)
9(5-x)
9x-5
Answers
Answer:
9(x-5)
Step-by-step explanation:
Product of 9 = Multiply by 9
Difference = Subtract
Number = x
Using algebraic expressions, the product of 9 and the difference between the number (x) and 5 is expressed as: 9(x - 5).
What is an Algebraic Equation?An algebraic equation involves a mixture of numbers and variables, in which case, the variable is used to represent an unknown number.
Let variable x represent the number
Product of 9 and the difference between (x - 5) is expressed as an algebraic expression as: 9(x - 5).
Learn more about algebraic expression on:
https://brainly.com/question/2164351
ic
А
50
B
(2x + 260 )°
O A. O
B. 2
C.5
OD.7
Answers
Answer:
[tex]\Huge \boxed{x=0}[/tex]
Step-by-step explanation:
Angles on a straight line add up to 180 degrees.
y + 50 = 180
y = 180 - 50 = 130
We can use Angle formed by a chord and tangent theorem to solve for x.
The angle formed by a chord and tangent is half the measure of the intercepted arc.
130 = 1/2(2x+260)
Expand brackets.
130 = x+130
Subtract 130 from both sides.
x = 0
Solve x≤0 or x≥−4 and write the solution in interval notation.
Answers
Answer:
-4 ≤ x ≤ 0
Step-by-step explanation:
Given
x ≤ 0 or x ≥ -4
Required
Write using Interval notation
x ≤ 0 or x ≥ -4
This can be rewritten as
x ≤ 0 or -4 ≤ x
Reorder the above inequality to give:
-4 ≤ x or x ≤ 0
The above inequality can then be combined to give
-4 ≤ x ≤ 0
Hence, the interval notation of x ≤ 0 or x ≥ -4 is -4 ≤ x ≤ 0
The function intersects its midline at (-1.25,-3) and a maximum point at (0,4) Find a formula for f(x) Give an exact expression.
Answers
Answer: y = 7cos(0.4π x) - 3
Step-by-step explanation:
The equation of a cosine function is: y = A cos(Bx - C) + D where
Amplitude (A) is the distance from the midline to the max (or min)Period (P) is the length of one cosine wave --> P = 2π/BPhase Shift (C/B) is the horizontal distance shifted from the y-axisMidline (D) is the vertical shift. It is equal distance from the max and minMidline (D) = -3
(-1.25, -3) is given as a point on the midline. We only need the y-value.
Horizontal stretch (B) = 0.4π
The max is located at (0,4) and also at (5, 4). Thus the period (length of one wave) is 5 units.
[tex]P=\dfrac{2\pi}{B}\qquad \rightarrow \qquad 5=\dfrac{2\pi}{B}\qquad \rightarrow \qquad B=\dfrac{2}{5}\pi[/tex] → B = 0.4π
Phase Shift (C) = 0
The max is on the y-axis so there is no horizontal shift.
Amplitude (A) = 7
The distance from the midline to the max is: A = 4 - (-3) = 7
Equation
Input A = 7, B = 0.4π, C = 0, and D = -3 into the cosine equation.
y = A cos(Bx - C) + D
y = 7cos(0.4π x - 0) - 3
y = 7cos(0.4π x) - 3
Erik and Caleb were trying to solve the equation: 0=(3x+2)(x-4)0=(3x+2)(x−4)0, equals, left parenthesis, 3, x, plus, 2, right parenthesis, left parenthesis, x, minus, 4, right parenthesis Erik said, “The right-hand side is factored, so I'll use the zero product property.” Caleb said, “I'll multiply (3x+2)(x-4)(3x+2)(x−4)left parenthesis, 3, x, plus, 2, right parenthesis, left parenthesis, x, minus, 4, right parenthesis and rewrite the equation as 0=3x^2-10x-80=3x 2 −10x−80, equals, 3, x, squared, minus, 10, x, minus, 8. Then I'll use the quadratic formula with a=3a=3a, equals, 3, b=-10b=−10b, equals, minus, 10, and c=-8c=−8c, equals, minus, 8." Whose solution strategy would work?
Answers
Answer:both
Step-by-step explanation:
Answer:
Both :)
Step-by-step explanation:
an empty suitcase has a mass of 2 kilograms. Draw a bar model to find its mass in grams.
Answers
Answer:
Since I can't draw it I'll give you the answer. 2,000 g.
Step-by-step explanation:
A kilogram is 1000 grams. Multiply 1000x2 to get 2000. But add the g for grams or the answer is considered wrong by teachers.
The Inka Kola Soda Company has heard cmp1aints that the amount of soda in their 12-oz. cans is less than 12 ounces. A random sample of 36 12-oz soda cans is taken, resulting in a sample mean of 11.85 oz and a sample standard deviation of s = .18 oz. Assuming that the population is normal, a 95% confidence interval for the true mean amount of soda in a 12-oz can will be:_______
a. 11.85 plus or minus 0.0494
b. 11.85 plus or minus 0.0588
c. 11.85 plus or minus 0.0609
d. 11.85 plus or minus 0.0784
Answers
Answer:
b. 11.85 plus or minus 0.0588
Step-by-step explanation:
Give the following :
Sample mean (m) = 11.85 oz
Sample standard deviation (s) = 0.18
Confidence interval = 95%
Number of observations (n) = 36
Using the formula:
Mean ± Z95% × (sd/√n)
Z score at 95% confidence interval = 1.96
11.85 ± [1.96 × (0.18/√36)]
11.85 ± [1.96 × (0.18 / 6)]
11.85 ± (1.96 × 0.03)
11.85 ± 0.0588
A diagonal of a rectangle is 8cm and forms an angle measuring 30 with one side. Find the area of the rectangle.
Answers
Answer:
Arectangle=27.68cm (approximately)
Step-by-step explanation:
in order to find the area of the rectangle first you need to find the measure of the length and width.
since both of them aren't given ,use trigonometry to find the value of the length and width.
sin30°=opposite/hypotenuse
sin30°=opposite/8cm
opposite=sin30°*8cm. >sin30°=0.5
opposite=4cm
cos30°=adjacent/hypotenuse
cos30°=adjacent/8cm
adjacent=cos30°*8cm. cos30°=0.866
adjacent=6.92cm (approximate value)
Arectangle= bh
Arectangle=4cm*6.92cn
Arectangle=27.68cm
There are 100 people in a sport centre.
67 people use the gym.
62 people use the swimming pool.
56 people use the track.
38 people use the gym and the pool.
31 people use the pool and the track.
33 people use the gym and the track.
16 people use all three facilities.
A person is selected at random.
What is the probability that this person doesn't use any facility?
Answers
We need to determinate who doesn't use anything, so first we must know the real number of who are practising: a person can do more things.
For doing this, is better use a three-circles graphic, but we try to do without it.
So
16 pool + gym + track, and this number is sure38 gym + pool, but this number includes the people of 1st point. We must know who do only gym + pool: 38 - 16 = 2231 pool + track, this number also includes people of 1st point, so: only pool + track 31 - 16 = 1533 gym + track, this number also includes people of 1st point, so: only gym + track 33 - 16 = 17now:
67 gym, we must know who use only gym: 67 - 16 (gym + pool + track) - 22 (gym + pool) - 17 (gym + track) = 1262 pool, we must know who use only pool: 62 - 16 (gym + pool + track) - 22 (gym + pool) - 15 (pool + track) = 956 track, we must know who use only track: 56 - 16 (gym + pool + track) - 15 (pool + track) - 17 (gym + track) = 8now we must now who do some facility: let's sum all
16 + 22 + 15 + 17 + 12 + 9 + 8 = 99
99/100 practise something
So only 1/100 doesn't use nothing
The probability is 1%
will mark brainliest, 60 points
Answers
Answer:
21 C
22 B
23 169
Step-by-step explanation:
21 3m mean 3 times a certain number
22 the negative make the 4 go negative and the -5 positive
23 i did 5^2-4^2= 9
then 6^2 divided by 9+9= 13 i took the 9 from the 5^2 problem then divided it by 6^2
then 13 x 13 = 169
- On an arcade game, Connor got the 100-point bonus 5 times and the 150-point penalty 3 times. If he started with 200 points, how many points does he have now? Explain how you found your answer.
Answers
Answer: 1,150
Step-by-step explanation:
100 x 5 = 500
150 x 3 = 450
500 + 450 + 200
Connor has 1,150 points
Assume that the amount of time that it takes an employee to service a car at an oil change facility follows the uniform probability distribution between 21 and 38 minutes. What is the probability that a randomly selected car will require less than 25 minutes to service?
Answers
Answer:
The probability is [tex]P(X < 25) = 0.308[/tex]
Step-by-step explanation:
From the question we are told that
The amount of time is uniform probability distribution between 21 and 38 minutes.
Given that the amount of time is uniformly distributed then the probability that a randomly selected car will require less than 25 minutes to service is mathematically evaluated as
[tex]P(X < 25) = \frac{ 25 - 21}{38 - 21}[/tex]
=> [tex]P(X < 25) = 0.308[/tex]
f (x) = 2(x)2 +59/(x+2)
Answers
BRAINLIEST AND HELLA POINTS Part A: The area of a square is (4a2 − 20a + 25) square units. Determine the length of each side of the square by factoring the area expression completely. Show your work. (5 points) Part B: The area of a rectangle is (9a2 − 16b2) square units. Determine the dimensions of the rectangle by factoring the area expression completely. Show your work. (5 points)
Answers
Answer:
Hey there!
4a^2-20a+25 can be factored to (2a-5)(2a-5). Thus, the side length of the square is 2a-5. Basically, we want to find two of the same binomials that can multiply to get 4a^2-20a+25. For example, 2a times 2a = 4a^2, and you can use the foil method to solve for the rest.
4a^2 - 20a +25
(2a)^2 - 20a + (-5)^2
(2a - 5)^2
(9a2 − 16b2) is just a difference of squares, and can be factored to (3a+4b) and (3a-4b). The difference of squares formula can give us this.
Let me know if this helps :)
Answer:
Step-by-step explanation:
Part A
[tex]4a^{2} -20a+25\\\\=(2a)^2-2(5)(2a)+5^2[/tex]
does that seems familiar?
it's because it's a perfect square that can be factorized as
[tex](2a-5)^2[/tex]
so the length of each side is
2a-5 both of them
Part B
[tex]9a^2-16b^2[/tex]
[tex](3a)^2-(4b)^2[/tex]
that's a difference of squares you know [tex]x^2-y^2=(x-y)(x+y)[/tex]
so
[tex](3a-4b)(3a+4b)[/tex]
so the lengths are
3a-4b and 3a+4b
A rare mutation only occurs in 1 in every 2048 generations of fruit flies. We can assume that whether or not the mutation occurs is independent of previous generations. (a) Calculate the probability of seeing this mutation at least once in 50 generations. (b) Calculate the probability of seeing this mutation at least once in 3000 generations. (c) Compare the calculation in parts (a) and (b) to the approximation 1 â exp(ânp).
Answers
Answer:
(A) 0.0244
(B) 1 (not 1.47 as is calculated) since probability values are between 0 and 1; 0 and 1 inclusive
Step-by-step explanation:
The rare mutation only occurs in 1 generation, out of every 2048 generations. This implies that the next occurrence will fall in or within the next 2048 generations (2 generations in 4096 generations, will have the rare mutation).
(A) The probability of occurrence of this mutation at least once (at most infinity) in 50 generations of fruit flies will surely be less than, as 50 is less than 2048.
The accurate probability is gotten when 50 is divided by 2048
50÷2048 = 0.0244
(B) The probability of seeing this mutation at least once (at most infinity) in 3000 generations would have been 1.47 but for 3 reasons;
- The full question already tells that the mutation will occur once in every 2048 generations and 3000 is greater than 2048, hence there will be a sure occurrence within 3000 generations.
- Question (b) asks you to calculate the probability of seeing this mutation at least once in 3000 generations so, the probability is 1 (representing full probability).
- In probability theory or statistics, all probability values fall within 0 and 1; with 0 representing no occurrence at all and 1 representing full occurrence.
Please help fast!, i'd really like the correct answers- :'O
Answers
Answer: 2/5
Step-by-step explanation:
[tex]-\frac{2}{5} + \frac{4}{5}[/tex]= 2/5
Answer:
−2/5 + 4/5= 2/5
2/5
I'd love brainliest btw (❁´◡`❁)
3.6399; thousandths round it
Answers
Answer:
3.6399 = 3.640
Step-by-step explanation:
[tex]3.6399\\1\:2\:3[/tex]
Rounding to nearest thousandth means rounding to 3 decimal place
(0 to 4) =round down
(5 to 9)= round up
Could you answer this
Answers
A set of values is shown belovi
12.7, 22, 23.5, 24, 11, 22
What is the mean absolute deviation of the set of values?
A o
B 3.96
C 4.9
D 19.2
Answers
Answer:
sorry yall i can help u
Step-by-step explanation:
Latoya rolled a number cube 500 times and got the following results. Fill in the table below. Round your answers to the nearest thousandths
Answers
Answer:
a) experimental: 164/500 = 41/125, which is 0.328
b) theoretical: 2/6 = 1/3, which is 0.333333....
c) the first answer, small difference
Step-by-step explanation:
Write an equation of the line below.
Answers
Answer: y=(-1/4)x
Step-by-step explanation:
slope-intercept form: y=ax+b
--------------------------------------------
#1 Find the slope
- Use rise/run: -(2/8)=-1/4
-Use slope formula: (2-0)/(-8-0)=2/-8=-1/4
#2 Find the y-intercept
- Given the point (0,0), the y-intercept is already shown which is 0
------------------------------------------
a=-1/4
b=0
y=(-1/4)x
Of the 80 trees planted, 2 out of 5 survived the winter. How many trees died during the winter?
Answers
Answer:
32
Step-by-step explanation:
2/5x80
16x2
32
Hope this helps
Answer:
48 died
Step-by-step explanation:
2 out of 5 survived that means 5-2 = 3
3 out of 5 died
Multiply that fraction that died by the total number
3/5 * 80
48
What are the solutions to the equation? 4x ^ 3 = 36x
Answers
Answer:
x = - 3, x = 0, x = 3
Step-by-step explanation:
Given
4x³ = 36x ( subtract 35x from both sides )
4x³ - 36x = 0 ← factor out 4x from each term
4x(x² - 9) = 0
Equate each factor to zero and solve for x
4x = 0 ⇒ x = 0
x² - 9 = 0 ⇒ x² = 9 ⇒ x = ± [tex]\sqrt{9}[/tex] = ± 3
Answer:
4x^3=36x.
4x^3-36x=0.
4x^3=36x.
4x(x^2-9)=0.
4x=0,x^2-9=0.
x=0,x^2=9.
x=0,√9=+3 or -3.
x=0,+3,-3.
Thank you for the question
-28/((-12+9)-(9+12/3)+1)
Answers
Is the point (2,14) a solution of the equation y = 5x - 3?
Answers
Answer: No it is not
Patricia deposited $612.40 in a savings account that earns 3.2% simple interest. What is Patricia's account balance after thirteen years?
$254.76
$867.16
$632.00
$2,547.58
Answers
Answer:
Patricia's account balance after thirteen years is $867.16
Step-by-step explanation:
This problem is on simple interest calculation
we know that the formula for simple interest is given as
A= P(1+rt)
Given that
P= $612.40
r= 3.2%= 0.032
t= 13 years
Applying the formula we have
A= 612.40(1+0.032*13)
A= 612.40(1+0.416)
A= 612.40(1.416)
A= 867.1584
A= $867.16
For the function f(x) = 6x − 8, identify the values of f(0), f(1/2), and f(−2).
Answers
Answer:
[see below]
Step-by-step explanation:
Replace 'x' with the given value and evaluate.
For f(0):
[tex]f(0)=6x-8\\\\f(0)=6(0)-8\\\\f(0)=0-8\\\\\boxed{f(0)=-8}[/tex]
For f(1/2):
[tex]f(1/2)=6(1/2)-8\\\\f(1/2)=3-8\\\\\boxed{f(1/2)=-5}[/tex]
For f(-2):
[tex]f(-2)=6(-2)-8\\\\f(-2)=-12-8\\\\\boxed{f(-2)=-20}[/tex]
Hope this helps.