Mathematics College
Answers
Answer 1
Answer:
The correct option is d: All real numbers.
Step-by-step explanation:
For a function f(x), the domain is the set of all the possible values of x that we can input in that function.
A general way to find the domain of a function is:
First, assume that the domain is the set of all real numbers.
Then, look at restrictions implied:
like in functions like:
f(x) = 4 if x > 3
Here the domain of the function is implied.
Third, let's find values of x that make "problems" with our function (for example, a zero in the denominator) and then remove these points from the domain.
In this case, we have a quadratic function:
y = a*x^2 + b*x + c
Here we do not have any problem (like a zero in a denominator), and we do not have any restrictions (We only know that the parabola is U shaped, so it is a function, and that its vertex is (2, 3) )
Then we can conclude that the domain of this function is the set of all real numbers.
The correct option is d: All real numbers.
Related Questions
Find the volume of a pyramid with a square base, where the side length of the base is 14.7 and the height of the pyramid is 17.2 in. Round your answer to the nearest tenth of a cubic inch.
Answers
Answer: 1238.916
Step-by-step explanation:
A = (Bh)/3
B = 14.7 x 14.7
The area of a pyramid is the formula at the top. B in the formula at the top is the Base. The reason it is capitalized is because B is also a formula. You need to find the area of the base of the pyramid and plug it into the equation. It this case, the base is equal to the second equation above.
RATIONALIZE THE
Denominator and
simplify
Answers
Answer:
[tex]\frac{8-\sqrt{6} }{2}[/tex]
Step-by-step explanation:
To rationalize the denominator, we need to multiply both the numerator and denominator by the conjugate of the denominator, which in this is 2 - √6.
We can write the expression:
[tex]\frac{3\sqrt{6}+5 }{2+\sqrt{6}} *\frac{2-\sqrt{6}}{2-\sqrt{6} }[/tex]
We can use the special product of the difference of squares to simplify the denominator:
[tex](2 + \sqrt{6})(2-\sqrt{6}) = 2^2 - (\sqrt{6})^2 =4 - 6 = -2[/tex]
We can use distributive for the numerator:
[tex](3\sqrt{6}+5)(2-\sqrt{6})=6\sqrt{6} -18+ 10-5\sqrt{6} =\sqrt{6} -8[/tex]
Now we can rewrite the fraction:
[tex]\frac{\sqrt{6}-8 }{-2} =\frac{8-\sqrt{6} }{2}[/tex]
If the scores per round of golfers on the PGA tour are approximately normally distributed with mean 69.3 and standard deviation 2.58, what is the probability that a randomly chosen golfer's score is below 70 strokes
Answers
Answer:
0.6069
Step-by-step explanation:
Given an approximately normal distribution:
Z = (x - mean) / standard deviation
Mean = 69.3 ; Standard deviation = 2.58
For :
P(x < 70)
Z = (70 - 69.3) / 2.58
Z = 0.7 / 2.58
Z = 0.2713
P(Z < 0.2713) = 0.6069
N (4,-2)
Given the point A(-2, 3) and B(4,8), determine the coordinates of point P on directed line segment AB that
partitions AB in the ratio 1/5.
Answers
Yes 4/16 is the answer mhmmmmm
I need the answer pls HELP
Answers
Answer:
14.526
Step-by-step explanation:
10.348+4.178=14.526
Answer:
The width of both boxes combined should be
10.348 + 4.178 = 14.526in
If sin theta equals 12 divided by 13 and theta is in quadrant 2 cos20 equals? and cos theta equals?
Answers
Answers:
cos(2theta) = -119/169cos(theta) = -5/13
=====================================================
The given info is:
sin(theta) = 12/13theta is in quadrant II
From that, we can use the pythagorean trig identity to find that cos(theta) = -5/13. Keep in mind that cosine is negative in quadrant II.
Now use the trig identity below to compute cos(2theta)
[tex]\cos(2\theta) = \cos^2(\theta)-\sin^2(\theta)\\\\\cos(2\theta) = \left(\frac{-5}{13}\right)^2-\left(\frac{12}{13}\right)^2\\\\\cos(2\theta) = \frac{25}{169}-\frac{144}{169}\\\\\cos(2\theta) = \frac{25-144}{169}\\\\\cos(2\theta) = -\frac{119}{169}\\\\[/tex]
Other options you could use are these identities
[tex]\cos(2\theta) = 2\cos^2(\theta)-1\\\\[/tex]
or
[tex]\cos(2\theta) = 1-2\sin^2(\theta)\\\\[/tex]
Will mark Brainliest. So Im trying to calculate what I need to get on the final to keep an overall 80% for my semester grade. My math teacher said our final grade is 40% of 3st quarter & 40% of 4th quarter with our final weighing 20%. So what I was wondering was if i had a 85.29 in 3rd quarter and a 81.5 in 4th quarter what could i get on my final to keep an overall 80% average for my semester grade. ( my semester grade is currently at 83.39 )
Answers
Answer:
[tex]66.42\%[/tex]
Step-by-step explanation:
Hi there! We can establish the following inequality with the given weights provided in your question:
[tex]85.29\cdot 0.4+81.5\cdot 0.4 +\text{Final Exam Grade}\cdot0.2 \geq 80[/tex]
Solving, we get:
[tex]66.716+\text{Final Grade}\cdot 0.2\geq 80,\\\text{Final Exam Grade}\cdot 0.2\geq13.284,\\\text{Final Exam Grade}\geq\boxed{66.42\%}[/tex]
Thus, to maintain a final semester grade of 80% or higher, you must achieve a minimum of [tex]66.42\%[/tex] on your final exam!
A personnel psychologist studying adjustment to the job of new employees found a correlation of .3 between amount of education and rating by job supervisors 2 months later. The psychologist now plans to use the amount of education to predict supervisors’ later ratings. Indicate the independent/predictor variable, dependent/criterion variable, and beta. Write the Z-score prediction model; give the predicted Z-scores for supervisor ratings for employees with the amount of education Z-score of -1.5, -1, -.5
Answers
Answer:
the predictor variable is: amount of education
the criterion variable is: the Supervisors' rating
the beta is: .3
the Zy scores are -0.45, -0.3, 0.15
Step-by-step explanation:
r=beta which is the same; hence correlation equals regression
use this formula for the Z-scores
Zy= (beta) (Zx)
zy=(.3) (-1.5) = -0.45
(E) -1.5;
Zy=-0.45
(F)-1,
Zy=-0.3
(G)-.5.
Zy=-0.15
rearrage and solve 4t-s-2t+25
Answers
Answer:
See the image below for the answer:)
Step-by-step explanation:
Find the value of x in the figure at the right. Please help!
Answers
9514 1404 393
Answer:
x° = 88°
Step-by-step explanation:
The sum of interior angles of a hexagon is 180°(6 -2) = 720°. The unknown angle is found by subtracting known angles from the total.
x° = 720° -172° -120° -95° -120° -125°
x° = 88°
Answer:
[tex]\large \sf {\underline{\underline{ \fcolorbox{j}{g}{x = 88 °}}}}[/tex]
Step-by-step explanation:
We know that
➟ The sum of interior angles of a hexagon is 180° × ( 6 - 2 ) = 720 °
Now add all the angles that are given in the question and subtract from the total angles and we get the unknown number .
let unknown number be x.
720 ° - 172 ° + 120 ° + 120 ° + 125 ° + 95 ° = x °
720 ° - 632 ° = x°
88 ° = x–––––––––☆––––––––––
Help I will brainliest your answer
Answers
Answer: y=12
Step-by-step explanation:
96=8y
96/8=y
12=y
A study records the lengths of pregnancy (in days) of 500 women. The data is normally distributed with a mean of 266 days and a standard deviation of 16 days. How many women in the study had a pregnancy between 250 days and 282 days in length?
Answers
Answer:
371 women had their pregnancy between 250 days and 282 days in length.
di po ako sure sa answer ko, but it is based on what I remembered.
Step-by-step explanation:
z=532-266
16
√500
= 371.74 or 371
You start at (2, -1). You move down 3 units and left 3 units. Where do you end?
Answers
Answer:
(-1,-4)
Step-by-step explanation:
(2, -1)
Moving down 3 means subtract 3 from the y value
Left 3 means subtract 3 from the x value
(2-3, -1-3)
(-1,-4)
(-1,-4) is the answer
A train leaves a station at 10.15am and
gets to another one at 1.15pm. The
average speed between the stations
is 76km/hr. What is the distance?
Answers
9514 1404 393
Answer:
228 km
Step-by-step explanation:
Traveling 3 hours at 76 km/hour, the train covers a distance of ...
distance = speed × time
distance = (76 km/h)(3 h) = 76×3 km = 228 km
Law of Sines, due by tonight
Answers
Answer:
[tex]21^{\circ}[/tex]
Step-by-step explanation:
The Law of Sines is given by [tex]\frac{\sin A}{a}=\frac{\sin B}{b}=\frac{\sin C}{c}[/tex] and works for every triangle.
Substituting given values, we have the following equation:
[tex]\frac{\sin 68^{\circ}}{18}=\frac{\sin C}{7}, \\\\\sin C=\frac{7\sin 68^{\circ}}{18},\\\\C=\sin^{-1}(0.36057149899),\\\\C\approx \boxed{21^{\circ}}[/tex]
*Note that because [tex]\sin \theta=\sin(180-\theta)[/tex], when solving for an angle with the Law of Sines, there may be two answers. However, since the problem designates angle C as an acute angle, the other angle is negligible.
You have 3/6 a cup of oatmeal in your cupboard. A recipe for cookies calls for 1/4 cup of oatmeal. How much oatmeal would you have left if you made the cookies?
Answers
i believe the answer is 1/4 cup
The British government conducts regular surveys of household spending. The average weekly household spending on tobacco products and alcoholic beverages for each of 11 regions in Great Britain are recorded. A scatterplot of spending on tobacco versus spending on alcohol is given below: What is the most plausible value for the correlation between spending on tobacco and spending on alcohol
Answers
Answer:
Great Britain we’re colonizers
Step-by-step explanation:
Answer:
C) 0.08
Step-by-step explanation:
Find the value of x.
Answers
The value of x is 26
65 inches is how many feet? (Round to nearest hundredth) *
Answers
Answer:
5.42 feet
Step-by-step explanation:
12 inches=1 foot
65/12=5.41667
5.41667=5.42 feet
Answer:
5.42 feet
Step-by-step explanation: i hope its right and sorry if it's wrong
Emiko makes shibori scarves and sells them for 48 each on a website for hand made goods the expression 48s represents the total price of buying s scarves.
Answers
Answer:
Step-by-step explanation:
true
1. number of scarves
2. price per scarf
Step-by-step explanation:
Find the surface area of the figure below
Answers
Answer:
592 cm
Step-by-step explanation:
16*10/2=80
16*10/2=80
16*12=192
10*12=120
10*12=120
Add all the sum, which would equal 592.
Hope this helps.
Three (3) people share a car for a period of one year and the mean number of kilometres
traveled by each person is 152 per month
How many kilometres will be travelled in a year?
Answers
Answer:
456
Step-by-step explanation:
It is shared by 3 people so it will be multiplied by 3.
Answer:
5472
Step-by-step explanation:
If the mean between three people is 152 kilometers per month, the distance travelled in a month is 152 * 3 = 456.
Then we multiply 456 by 12 to get the number of km travelled in a year.
456 * 12 = 5472
I NEED HELP PLEASEE HELP ME
Answers
Answer:
TRUE
FALSE
FALSE
TRUE
Step-by-step explanation:
yan na po god bless
work out the area of this circle
Take pi to be 3. 142 and give
your answer
to be 2
decimal places..
11, 2cm
Answers
Answer:
11.2 cm i think so ya yo write 11.2cm
Which choice below could represent the distance jake walked?
Answers
Answer:
50 yard South, 40 yard east 60 yard northwest
According to Cavalieri’s Principle, if all of the following have the same height, which pair would NOT have the same volume? Explain why.
Answers
Answer:
Pair 2.
Step-by-step explanation:
For the volumes to be the same the base areas must also be the same.
For Pair 2 the areas are 25π and 24π while the other 2 pairs have both base areas = 25π.
Can anyone help me find the function for this trig graph ? i need a specific answer for the function , 50 pts
Answers
Answer:
y = 5 sin (2x) + 4
Step-by-step explanation:
this is sines function,
the amplitude is [9 - (-1)]/2 = 10/2 = 5
the period is 2πx/π = 2x
the x-axis of actual function is at y = 4
so, the function is :
y = 5 sin (2x) + 4
Which answer choice below best describes the number (22 + 6)
Answers
Answer:
You FAILED to include any choices.
Step-by-step explanation:
can you add a picture?
Workings please......
Answers
Answer:
21.142
Step-by-step explanation:
not sure it's correct
Please help me with these 3 questions!! Will mark Brainliest :)
Answers
Answer:
7. 75.36 inches
8. 21 inches
9. 13 inches
Step-by-step explanation:
7. Circumference = π × d
The diameter would be two times the radius, or 2 × 12 = 24. So, circumference would be 3.14 × 24 = 75.36 inches.
8. Circumference = π × d
If we move variables around, d = Circumference / π
So, d = 65.94 / 3.14 = 21 inches.
9. To do this, let's figure out the diameter: d = Circumference / π
d = 81.64 / 3.14 = 26. Now the diameter is two times the radius, so to get the length of the radius, we must divide the diameter in half. 26 / 2 = 13 inches.
