Answer:
A. 6
B. 2
C. 8
D. 3
all the answers to the previous questions
D.) = 3
The value of the function (f -g)(x) will be 2x^3 + 7x^2 - 7x - 3
What is a function?Function is a type of relation, or rule, that maps one input to specific single output.
In mathematics, a function is an expression, rule, or law that describes the relationship between one variable, Linear function is a function whose graph is a straight line
We are given that the function as;
[tex]f(x) = 2x^3 + 7x^2 - 4x - 5[/tex]
[tex]g(x) = 3x - 2[/tex]
We need to find the function as (f - g)(x)
(f -g)(x) = f(x) -g(x)
(f -g)(x) = 2x^3 + 7x^2 - 4x - 5 - 3x + 2
(f -g)(x) = 2x^3 + 7x^2 - 7x - 3
Therefore, the correct option is C 2x^3 + 7x^2 - 7x - 3
Learn more about function here:
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Please help almost done will give brainliest
x and y are related.
х
-2
-1
0
1
2
3
y
-4
-4.5
-5
-5.5
-6
-6.5
y = -0.5x + [?]
Enter the answer that belongs in [?].
Answer:
-5
Step-by-step explanation:
y = -0.5x + [?]
The equation is put in slope intercept form
slope intercept form: y = mx + b
where m = slope and b = y intercept
We want to find the y intercept.
the y intercept is the value of y when x = 0
looking at the table when x = 0, y = -5 so the y intercept is -5.
In other words -5 belongs in [?]
Find the length of BC in the figure below.
Answer:
BC = 6 units
Step-by-step explanation:
In triangle ACD, BE || CD (given)
Therefore, by Basic Proportionality Theorem, we have:
[tex]\frac{AE}{ED} =\frac{AB}{BC} \\ \\ \therefore \: \frac{16}{8} = \frac{12}{BC} \\ \\ \therefore \: \frac{2}{1} = \frac{12}{BC} \\ \\ \therefore \: BC = \frac{12}{2} \\ \\ \therefore \: BC =6 \: units[/tex]
40 points! Find the distance UV between the points U (2,-2) and V (-5, -3). Round your answer to the nearest tenth, if necessary.
[tex]\\ \sf\longmapsto UV=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
[tex]\\ \sf\longmapsto UV=\sqrt{(-5-2)^2+(-3+2)^2}[/tex]
[tex]\\ \sf\longmapsto UV=\sqrt{(-7)^2+(-1)^2}[/tex]
[tex]\\ \sf\longmapsto UV=\sqrt{49+1}[/tex]
[tex]\\ \sf\longmapsto UV=50[/tex]
A triangle has two sides of lengths 8 and 10. What value could the length of
the third side be? Check all that apply.
Answer:
8, 10, 4, 7
Step-by-step explanation:
Missing side = x
Rules for x:
It should be less than the sum of the other two sides
It should be greater than the difference of the other two sides
8 + 10 = 18
10 - 8 = 2
2<x<18
8, 10, 4, 7
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
In a study on the time that
a student required to obtain a college degree is randomly selected to 80
students and it is discovered that they have an average of 4.8 years (according to data from the National
Center for Education Statistics). Assuming s 2.2 years, construct an estimate of a confidence interval of the population mean. The confidence interval
the result contradicts the fact that 39% of students get their college degree in four years?
The 95% confidence interval of the population mean, in years, is (4.3, 5.3). 4 years is not part of the confidence interval, which means that it contradicts the fact that 39% of students get their college degree in four years.
-----------------------------
To solve this question, we need to find the confidence interval for the amount of time it takes the students to get the degree.
We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.
-----------------------------
The first step to solve this problem is finding how many degrees of freedom,which is the sample size subtracted by 1. So
df = 80 - 1 = 79
-----------------------------
95% confidence interval
Standard level of confidence, we have to find a value of T, which is found looking at the t table, with 79 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.95}{2} = 0.975[/tex]. So we have T = 1.9905.
-----------------------------
The margin of error is:
[tex]M = T\frac{s}{\sqrt{n}} = 1.9905\frac{2.2}{\sqrt{80}} = 0.5[/tex]
In which s is the standard deviation of the sample and n is the size of the sample.
-----------------------------
The lower end of the interval is the sample mean subtracted by M. So it is 4.8 - 0.3 = 4.3 years.
The upper end of the interval is the sample mean added to M. So it is 4.8 + 0.3 = 5.3 years.
-----------------------------
The 95% confidence interval of the population mean, in years, is (4.3, 5.3). 4 years is not part of the confidence interval, which means that it contradicts the fact that 39% of students get their college degree in four years.
A similar question is given at https://brainly.com/question/24278748
Nathan saves 5 1/4% of his weekly salary. Naban earns $380.00 per week. How much
does he save per week?
.
A.$19.95
B.$20.52
C.$21.95
D.$25.20
Answer:
19.95
Step-by-step explanation:
Take the amount of his salary and multiply by 5 1/4 %
380 * .0525
19.95
1.1.3 what is the the perimeter of a swimming pool if the length is 4,5m and the breadth is 3m? 1.1.4 Define the following concepts :a. Ratio. b. Rate
The perimeter of the swimming pool is 15m
A swimming pool is rectangular in nature. The perimeter of the rectangular pool is expressed using the formula;
[tex]P=2(L+W)[/tex]
Given that
Length L = 4.5m
Width W = 3m
Get the perimeter
[tex]Perimeter = 2(4.5+3)\\Perimeter = 2(7.5)\\Perimeter = 15m[/tex]
Hence the perimeter of the pool is 15m
1.1.4 Rate is defined as the ratio between two quantities with a different unit. Examples of rates are;
meter per second, miles per hourcalories per serving etcThe ratio is simply defined as the ordered pair between two variables x and y, For instance,
The ratio of x to y is x:y.If there are 5 pencils and 2 pens in a carton, then the ratio of the pencil to pen is 5:2.Learn more on ratio and rate here: https://brainly.com/question/24325733
Which of the following numbers is divisible by 6?
3,246
9,787
8,752
5,967
Answer: 3246/6= 541
if u wanna know if a # is divisible by 6 or not, see if the # is divisible by 2 or 3. if it works for both, then it is divisible by 6
(a − 1/a)^2 − (a + 1/a)^2 =
(A) 4
(B) -4
(C) 2
(D) -2
(E) 2a
Answer:
(B) -4
Step-by-step explanation:
so, do the multiplications and see :
(a - 1/a)² = a² - 2×a/a + 1/a² = a² - 2 + 1/a²
(a + 1/a)² = a² + 2×a/a + 1/a² = a² + 2 + 1/a²
now we need to subtract the second from the first :
(a² - 2 + 1/a²) - (a² + 2 + 1/a²) =
= a² - 2 + 1/a² - a² - 2 - 1/a² = -4
and that's it !
A missile travels at a constant rate of 15,000
feet per minute. How many hours would it
take to travel 9.0 X 10^8(ten to the 8th power)feet?
Answer: 1000 hours.
Step-by-step explanation: To travel 9 x 10^8 feet, it would take (9 x 10^8)/15000 minutes. This equals 60000 minutes. We divide this number by 60 to convert to hours. This equals 1000 hours.
Solve -9 < 4x + 3 5 19.
Answer:
C -3 < x ≤ 4
Step-by-step explanation:
-9 < 4x + 3 ≤ 19.
Subtract 3 from all sides
-9-3 < 4x + 3-3 ≤ 19-3
-12 < 4x ≤ 16
Divide by 4
-12/4 < 4x/4 ≤ 16/4
-3 < x ≤ 4
The mean number of years employees stay with a company is 12 years with a population standard deviation 4 years. The distribution of years has a left skewed shape. The probability that the mean years of staying in the company for a randomly selected sample of 36 will be more than 14 years is
Answer:
sorry for doesn't know the answer
the mass of 2bags of beans and
3 bags of salt is 410kgs
if the mass of 3bags of beans and
2bags of salt is 390kg find the
mass of each item.
Answer:
70kg- weight of the bag of beans, 90 kg- weight of the bag of salt
Step-by-step explanation:
Suppose the mass of a bag of beans - x kg, the mass of a bag of salt - y kg
The mass 2 bags of beans 2x, The mass 3 bags of salt 3y
2x+3y= 410
The mass of 3 bags of beans 3x, for 2 bags of salt it is 2y
3x+2y=390
We have system of equations (the equations are simultaneous)
2x+3y=410
3x+2y=390
2x= 410-3y
x=205-1.5y
3* (205-1.5y)+2y=390
615-4.5y+2y=390
2.5y= 225
y=90- the mass of the bag of salt
x= 205 - 1.5*90= 205-135= 70- the mass of the bags of beans
each week a train travels the same route 47 times about how many times does the train travel the route 43 weeks?
Answers
1,500 times
200 times
150 times
2,000 times
Answer:
Roughly 2,000 times
Step-by-step explanation:
47 x 43 = 2,021
Thank You
IV. Round to the nearest ten thousand
31. 41,876
32. 260,098
33. 91,975
34. 207,865
35. 462,876
Find the axis of symmetry of the graph of
y = x2 + 2x + 2
A- x= 1
B- y=1
C- x= -1
D- y=-1
Answer:
x = -1
Step-by-step explanation:
The graph's turning point is at ( -1 , 1 ), therefore the line of symmetry is at x = -1.
Answer: x = -1
Step-by-step explanation:
The formula to find the axis of symmetry in a function y = ax² + bx + c is:
[tex]x=\frac{-b}{2a}[/tex]
For y = x² + 2x + 2, where:
a = 1b = 2c = 2The axis of symmetry would be:
[tex]x=\frac{-b}{2a} =\frac{-2}{2(1)} =\frac{-2}{2} =-1[/tex]
Find the slope of the line tangent to the graph of x²+2xy² +3y=31 at the point (2, -3)
9514 1404 393
Answer:
22/21
Step-by-step explanation:
Taking the derivative, we have ...
2x·dx +2y²·dx +4xy·dy +3·dy = 0
dx(2x +2y²) +dy(4xy+3) = 0
At the given point, this is ...
dx(2·2 +2·(-3)²) +dy(4·2·(-3) +3) = 0
22dx -21dy = 0
dy/dx = 22/21
The slope of the tangent at the point of interest is 22/21.
Which point is not on the graph of the equation y=10+x
a. (0,10)
b. (3,13)
c. (8,2)
d. (5,15)
Please answer ASAP. Put the explanation too
Answer:
C. (8, 2)
Step-by-step explanation:
To find which point is not on the graph, find which set of coordinates makes the equation incorrect.
When plugged into the equation, the point (8, 2) makes it incorrect:
y = 10 + x
2 = 10 + 8
2 = 18
2 [tex]\neq[/tex] 18
The equation is incorrect because 2 is not equal to 18.
So, the point that is not on the graph is C. (8, 2)
14 a and b please help
Step-by-step explanation:
14a. One method is two solve for x. Edit: I accidentally press sent. Repost the question and I'll answer it.
What's 955 ÷ 35 ?
[tex]955 \div 35[/tex]
Answer:
Hello
Step-by-step explanation:
955÷35
27.2857142857
Or
35/955
35)955(27
-945
________
10
I hope this works♥️
Rotation 90° counterclockwise around the origin of the point (-8,1)
can someone explain step by step what to do next? I am trying to find the vertex, focus, and directrix of this parabola.
y=2x^2
y=2x^2 im using this equation (x-h)^2=4p(y-k)
y/2=x^2
this is my problem I dont know where to put y/2 in the equation I am using
Answer:
Hey hi how are you can you be my friend please..Step-by-step explanation:
And can you give me a fever can you please just marks me as brainliests please..Answer:
Step-by-step explanation:
Parabola: y=2x²
Let say (a,b) the focus and y=k the directrix.
[tex]formula\ to\ use:\ \boxed{y=\dfrac{(x-a)^2}{2(b-k)} +\dfrac{b+k}{2} }\\\\\left \{\begin {array}{ccc}a&=&0\\2&=&\dfrac{1}{2(b-k)} \\\dfrac{b+k}{2} &=&0\\\end {array} \right.\\\\\\\left \{\begin {array}{ccc}a&=&0\\b-k&=&\dfrac{1}{4} \\b+k &=&0\\\end {array} \right.\\\\\\\left \{\begin {array}{ccc}a&=&0\\b&=&\dfrac{1}{8} \\k &=&\dfrac{-1}{8} \\\end {array} \right.\\\\\\focus=(0,\dfrac{1}{8} )\\\\directrix:\ y=\dfrac{-1}{8}[/tex]
given that general term 7n+4
evaluate sum of 5th term and 5th term
[tex]\boxed{\sf t_n=7n+4}[/tex]
We have to find 5th term[tex]\\ \sf\longmapsto t_5=7(5)+4[/tex]
[tex]\\ \sf\longmapsto t_5=35+4[/tex]
[tex]\\ \sf\longmapsto t_5=39[/tex]
solve the absolute value 4=1+(2-1/4w)
inverse of f(x)=e^(3x-1)
Answer:
f(x) = 3ex - e
Step-by-step explanation:
In this equation we have basically the times e by 3x and -1
so first let's do e times 3x
here...
e X 3x = 3ex
so let's rewrite the equation
3ex - 1
now we times e by 1. (Note - Negative sign stays)
3ex - 1e
we don't have to write 1e cause 1e = e, they are the same.
Therefore the answer is 3ex - 1e
Following are the calculation of inverse:
Given:
[tex]\to f(x)=e^{3x-1}[/tex]
To find:
inverse function=?
Solution:
A function g is the inverse of function F if for [tex]y=f(x), x=g(y)[/tex]
[tex]\to y=e^{3x-1}[/tex]
Replacing the value of x with y
[tex]\to x=e^{3y-1}[/tex]
Solve for [tex]y, x=e^{3y-1}[/tex]
Therefore, the answer is [tex]\frac{\log(x)+1}{3}[/tex].
Learn more about the inverse function:
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Solve for h: W = 5h - 90 (must show step by step)
Answer:
[tex]W = 5h - 90 \\ 5h = W + 90 \\ h = \frac{W + 90}{5} [/tex]
Answer:
h = w+90/ 5
Step-by-step explanation:
5h-90=w
5h/5= w+90/5
h= w+90/5
An urn has 6 white balls and 4 orange balls if Sam chooses 5 balls at random from the urn what is the probability that he chooses 2 white balls and 3 orange balls
Answer:
probability of picking white is 6/10
and probability of picking orange is 4/10
Step-by-step explanation:
so probability of picking 2 white and 3 orange will be 9/25 + 64/100 = 8/125
Please help me to find out the answer
9514 1404 393
Answer:
44.66 in
Step-by-step explanation:
The side opposite the marked angle is given, and the side adjacent to it is the one wanted. The relevant trig relation is ...
Tan = Opposite/Adjacent
Solving for the Adjacent side, we find ...
Adjacent = Opposite/Tan
PQ = (29 in)/tan(33°) ≈ 44.66 in
Please help!!!!!!!!!!!!!!!
Step-by-step explanation:
[tex]\triangle{ABC}[/tex] is similar to [tex]\triangle{ADE}[/tex] so we can write the ratio
[tex]\dfrac{x}{6+4} = \dfrac{2}{6}[/tex]
Solving for x, we get
[tex]x = \left(\dfrac{2}{6}\right)(10) = \dfrac{10}{3}[/tex]
What is the simplified form of square root 400 x to the power 100
Step-by-step explanation:
[tex]thank \: you[/tex]
Answer:
20x⁵⁰
Step-by-step explanation:
With the equation √400x¹⁰⁰
we need to take the square root away separately
√400 = √20*20 = 20
Then with x¹⁰⁰
√x¹⁰⁰ = √x⁵⁰*x⁵⁰ = x⁵⁰
So √400x¹⁰⁰ = 20x⁵⁰
hope this helps
