x=2 is value of x does the function f(x).
An easy definition of a function?
As a set of inputs with one output for each, a function is defined as a relationship between them.
In plain English, a function is an association between inputs in which each input is connected to precisely one output. a unique relationship in which each input only results in one outcome. Where x is the input value, it is frequently expressed as "f(x)". as in f(x) = x/2 ("f of x equals x divided by 2") Each input "x" yields a single output "x/2," indicating that it is a function: • f(2) = 1.
X f(x) g(x)
1 6 6
2 12 16
3 18 30
4 24 48
We can see from this table that f(x) is greater than g(x) starting from x=2
Therefore I think x=2 is your answer.
Learn more about function
brainly.com/question/13461298
#SPJ1
In a bag of 10 marbles, there are 4 blue, 3 red, 2 green,
and 1 yellow. What is the probability that you draw one
marble that is blue, replace it, and draw another marble
that is red?
Enter your answer as a fraction in lowest terms. Do not add
spaces to your answer. (EX: 1/2)
Answer: 1/8
Step-by-step explanation:
Given: Quadrilateral PAST, TX = AX; TP || AS
Prove: Quadrilateral PAST is a parallelogram.
1) Quadrilateral PAST, TX=AX, [tex]\overline{TP} \parallel\overline{AS}[/tex] (given)
2) [tex]\angle XPT \cong \angle XSA[/tex] and [tex]\angle XTP \cong \angle XAS[/tex] (alternate interior angles theorem)
3) [tex]\triangle TXP \cong \triangle AXS[/tex] (AAS)
4) [tex]\overline{TP} \cong \overline{AS}[/tex] (CPCTC)
5) PAST is a parallelogram (a quadrilateral with two pairs of opposite congruent sides is a parallelogram)
(Adding to the other person's answer)
For the 5th step reason, put this: A quadrilateral is a parallelogram if a pair of opposite sides are parallel and congruent.
It won't work to just say something like the def. of parallelograms.
David has kept track of his family’s grocery bills for the past 10 weeks, as shown in the table.
Week 1 2 3 4 5 6 7 8 9 10
Bill ($) 92 106 129 115 100 84 110 156 98 87
Would you choose to use a histogram, a circle graph, or a line graph to display the data? Explain your choice. Then make a display.
The best option that would be used to show the data would be the line graph.
Why the line graph is the bestThe reason I chose the line graph is that it would show us the trend in the data. This is in a way that we would see the periods there was a high bills.
Also the line graph is very simple to understand. The relationship and the changes in the data is easily seen.
Read more on line graphs here:
https://brainly.com/question/19040584
#SPJ1
If a = √3-√11 and b = 1 /a, then find a² - b²
If [tex]b=\frac1a[/tex], then by rationalizing the denominator we can rewrite
[tex]b = \dfrac1{\sqrt3-\sqrt{11}} \times \dfrac{\sqrt3+\sqrt{11}}{\sqrt3+\sqrt{11}} = \dfrac{\sqrt3+\sqrt{11}}{\left(\sqrt3\right)^2-\left(\sqrt{11}\right)^2} = -\dfrac{\sqrt3+\sqrt{11}}8[/tex]
Now,
[tex]a^2 - b^2 = (a-b) (a+b)[/tex]
and
[tex]a - b = \sqrt3 - \sqrt{11} + \dfrac{\sqrt3 + \sqrt{11}}8 = \dfrac{9\sqrt3 - 7\sqrt{11}}8[/tex]
[tex]a + b = \sqrt3 - \sqrt{11} - \dfrac{\sqrt3 + \sqrt{11}}8 = \dfrac{7\sqrt3 - 9\sqrt{11}}8[/tex]
[tex]\implies a^2 - b^2 = \dfrac{\left(9\sqrt3 - 7\sqrt{11}\right) \left(7\sqrt3 - 9\sqrt{11}\right)}{64} = \boxed{\dfrac{441 - 65\sqrt{33}}{32}}[/tex]
A surveyor measures the angle of elevation of the top of a mountain from a point at
sea level as 20◦. She then travels 1000 m along a road that slopes uniformly uphill
towards the mountain. From this point, which is 100 m above sea level, she measures
the angle of elevation as 23◦. Find the height of the mountain above sea level, correct to
the nearest metre.
(use sin rule/ cos rule)
The height of the mountain from a point a sea level is approximately 1496.650 meters.
What is the height of mountain from sea level?
First, we construct the geometric diagram of the situation and find all needed angles and sides to determine the height of the mountain. First, we determine the missing side x by the law of sines:
Law of sines
1000 m/sin 3° = x/sin 14.261°
x ≈ 4706.886 m
Now we determine the height of the mountain by trigonometric functions:
h = 100 m + (4706.886 m) · sin 17.261°
h ≈ 1496.650 m
The height of the mountain from a point a sea level is approximately 1496.650 meters.
To learn more on law of sines: https://brainly.com/question/13098194
#SPJ1
x + x/3 = 4/9
solve for x!!
Answer:
x=1/3
Step-by-step explanation:
Which monomials are perfect squares? Select three options.
6x2
9x8
17x9
25x12
36x16
Answer: B, D, E
Step-by-step explanation:
Two fishing boats leave the same dock at the same time. One boat heads northeast and is travelling at a speed of 15 km/h while the other is travelling northwest at 18 km/h. After 45 minutes, the boats are 14.0 km apart. Assuming that both boats are travelling in straight paths, what is the angle between their paths to the nearest degree?
The boat speeds of 15 km/h and 18 km/h, directions, and the time of travel of 45 minutes gives the angle between their paths as approximately 68°.
How can the angle between the paths of the boats be found?The given parameters are;
Direction of the first boat = Northeast
Speed of the first boat = 15 km/h
Direction of the second boat = Northwest
Speed of the second boat = 18 km/h
Distance between the boats after 45 minutes = 14.0 km.
45 minutes = 0.75 × 1 hour
Distance traveled by the first boat in 45 minutes, d1, is therefore;
d1 = 15 km/h × 0.75 hr = 11.25 km
For the second boat, we have;
d2 = 18 km/h × 0.75 hr = 13.5 km
Using cosine rule, we have;
14² = 11.25² + 13.5² - 2 × 11.25 × 13.5 × cos(A)
Where A is the angle between the paths of the two boats.
Which gives;
[tex]cos(A) = \frac{361}{972} [/tex]
[tex] A= \mathbf{ arccos\left(\frac{361}{972} \right) }\approx 68^\circ [/tex]
The angle between their paths to the nearest degree, A ≈ 68°Learn more about the rule of cosines here:
https://brainly.com/question/13409288
#SPJ1
PLEASE HELP ME I NEED HELP I'LL GIVE YOU BRAINLEST PLEASE I BEG YOU NICELY.
Can some one help me with this. This isn't school work this is math that I am doing at home on prodigy the app. I will mark you brainlest if you get this correct. Also look at both of the pictures one of them has a hint for you.
The perimeter of a rectangle is the sum of its side lengths.
A rectangle is special in that sides opposite one another have equal length. So if [tex]x[/tex] is the length of the horizontal sides, the total perimeter of the rectangle is
[tex]4\,\mathrm{cm} + 4\,\mathrm{cm} + x\,\mathrm{cm} + x\,\mathrm{cm} = (8+2x)\,\mathrm{cm}[/tex]
We're given the perimeter is actually 18 cm, so
[tex]8+2x = 18[/tex]
Solve for [tex]x[/tex].
[tex](8 + 2x) - 8 = 18 - 8[/tex]
[tex]2x = 10[/tex]
[tex]\dfrac12 \cdot 2x = \dfrac12 \cdot 10[/tex]
[tex]\boxed{x = 5}[/tex]
Select the correct answer. which equation is correctly rewritten to solve for x?
The rewritten equation for the given equation is [tex]x=\frac{h+g}{-f}[/tex]. So, option C is correct.
How to rewrite an equation?A linear equation given in the form ax + b = c can be rewritten to solve for x as below:
ax + b = c
⇒ ax = c - b
∴ x = (c - b)/a
So, here the basic operations such as addition, subtraction, multiplication, and division are used on both sides to rewrite the given equation for solving x.
Calculation:Given equation is -fx - g = h
Step 1: Adding 'g' on both sides
-fx - g + g = h + g
⇒ -fx = h + g
Step 2: Dividing by '-f' on both sides
-fx = h + g
⇒ -fx/-f = (h + g)/-f
∴ x = (h + g)/-f
Therefore, the rewritten equation to solve for x is x = (h + g)/-f.
Learn more about solving an equation here:
https://brainly.com/question/25678139
#SPJ4
Disclaimer: The given question was incomplete in the portal. Here is the complete question.
Question: Select the correct answer. which equation is correctly rewritten to solve for x?
Equation: -fx = h + g
A. x = (g - h)/f
B. x = (h - g)/-f
C. x = (h + g)/-f
D. x = (h + g)/f
How could the relationship of the data be classified? (1 point)
(see photo)
A fairly strong positive correlation
A fairly weak positive correlation
A fairly strong negative correlation
A fairly weak negative correlation
The relationship of the data can be classified as a fairly strong positive correlation.
What is positive correlation?
Correlation is a statistical measure used to measure the relationship that exists between two variables.
Positive correlation is when two variables move in the same direction. If one variable increases, the other variable also increases. When there is a positive correlation, the graph of the variables is upward sloping
To learn more about correlation, please check: https://brainly.com/question/27246345
#SPJ1
help me I need help now!!
what help? how can i help you?
One day, eleven babies are born at a hospital. assuming each baby has an equal chance of being a boy or girl, what is the probability that at most nine of the eleven babies are girls?
The probability of having, at most, 9 girls, is 0.9515
How to get the probability?The probability that a random baby is a girl is:
p = 0.5
And the probability that a random baby is a boy is:
q = 0.5
Then the probability that, at most, 9 out of 11 babys are girls, is given by:
1 - p(10) - p(11)
Where P(10) is the probability that 10 of the babies are girls and p(11) is the probability that the 11 babies are girls.
p(10) = C(11, 10)*(0.5)^10*(0.5)^1 = C(11, 9)*(0.5)^11
Where C(11, 10) is the combinations of 10 elements that we can make with a set of 11 elements, such that:
C(11, 10)= 11!/(11 - 10)!*10! = 11
Replacing that, we get:
P = 11*(0.5)^11 = 0.0054
p(11) = C(11, 11)*0.5^11 = 1*0.5^11 = 0.0005
Then the probability is:
P = 1 - 0.0054 - 0.0005 = 0.9515
The probability of having, at most, 9 girls, is 0.9515
If you want to learn more about probability:
https://brainly.com/question/25870256
#SPJ1
triangle properties help
Which of the following functions has a vertical asymptote at x=2, a horizontal asymptote at f(x)=1, and a root at x=−1?
A. f(x)=3x+2+1
B. f(x)=−3x−2+1
C. f(x)=3x+2−1
D. f(x)=3x−2+1
There are 3 pieces of glass that are cracked. if a rock is thrown by a lawn mower hits the window, what is the probability, that the rock hits a piece of glass that is cracked?
The chance or chance that the lawn mower will hit a chunk of glass that is already cracked is calculated with the aid of dividing the variety of glasses that are cracked by way of the full quantity of glasses. on this item, the unknown may be calculated through . The solution is, therefore, 0.20.
Opportunity is a measure of the chance of an event to arise. Many occasions cannot be predicted with overall reality. We are able to are expecting only the danger of an event to arise i.e. how likely they're to manifest, using it.
The possibility is the branch of arithmetic regarding numerical descriptions of how in all likelihood an occasion is to arise, or how possibly it's miles that a proposition is actual. The possibility of an occasion various between 0 and 1, where, roughly talking, 0 indicates the impossibility of the event and 1 shows reality.
The probability of an event can be calculated by possibility components via surely dividing the favorable range of effects through the full range of possible outcomes.
Learn more about the probability here https://brainly.com/question/24756209
#SPJ4
Can someone help me on these problems and show work please !
Answer:
1. 3 terms; degree 5
2. 2 terms; degree 3
3. 9mn³ + 14mn²
4. 9a^4b^3
Step-by-step explanation:
Problems 1 - 2:
Each product of a number and variables is a term. The number may be 1, so it is not written. Also, a term may not have a variable.
The degree of a term is the sum of the exponents of all the variables of the term. A plain variable, such as x has an exponent of 1 which is not written but must be added to determine the degree.
The degree of the polynomial is the same as the degree of the term with the highest degree.
1.
3 terms
degree 5
2.
2 terms
degree 3
Problems 3 - 4:
Combine like terms. Like terms have the same variables and exponents.
3.
6mn³ - mn² + 3mn³ + 15mn² =
= 6mn³ + 3mn³ - mn² + 15mn²
= 9mn³ + 14mn²
4.
a^4b^3 + 8a^4b^3 =
= 1a^4b^3 + 8a^4b^3
= 9a^4b^3
l=10m,b=8m,h=5m
Please answer
Step-by-step explanation:
we have given
l=10m
b=8m
h=5m
volume =?
area=?
volume =l*b*h
= 10*8*5
=400
area=2(lb+lh+bh)
=2(10*8+10*5+8*5)
=2(80+50+40)
=2(170)
=340
hope this is helpful please make me brainliest
Picture vvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvv
Answer:
pretzel: 2
hotdog: 3
Step-by-step explanation:
Let h be the hotdog price and p the pretzel price.
We know that:
h + p = 5
and
2h + 3p = 12
We can solve this system of equations:
h = 5-p
2(5-p) + 3p = 12
So the second eq. becomes:
10 - 2p + 3p = 12
10 + p = 12
p = 2
Sub in the first:
h = 5 - p = 5-2 = 3
So p = 2, h = 3
Answer: $3 / hot dog
Step-by-step explanation:
Given information:
1 hot dog + 1 pretzel = $5
2 hot dogs + 3 pretzels = $12
Set variables:
Let x be the price per hot dog
Let y be the price per pretzel
Set system of equations:
x + y = 5
2x + 3y = 12
Multiply the first equation by 3:
3x + 3y = 15
2x + 3y = 12
Subtract the second equation from the first equation (Elimination):
(3x + 3y) - (2x + 3y) = 15 - 12
3x + 3y - 2x - 3y = 3
(3y - 3y) + 3x - 2x = 3
0 + x = 3
[tex]\boxed{x=3}[/tex]
Hope this helps!! :)
Please let me know if you have any questions
A roll of aluminum for you measure 76.2 m long by 304 m wide what is the length in millimeters
Answer:
76,200 mm
Step-by-step explanation:
1 meter = 1000 mm, by definition. Make that a conversion factor:
(1 meter)/(1000 mm), or (1000 mm)/(1 meter). Both are equal to 1, since 1 meter = 1000 mm. We can multiply anything by 1, so take the original measurement of length of 76.2 meters, and multiply it by (1000 mm)/(1 meter).
(76.2 meters)*((1000 mm)/(1 meter)) = 76,200 mm. The meters cancels, leaving just mm, the desired unit.
what is the temperature in Celsius? (LOOK AT PIC)
Answer:
21
Step-by-step explanation:
(69.8-32)×(5/9)=21
Complete this sequence.
30, 21, 12, 3, [?], [ ]
Answer:
-6, -15
Step-by-step explanation:
Each term is 9 less than the previous term.
Please help with the bonus! Thank you:)
a. The function that models the situation is F(t) = 48(1.08)ˣ
b. The price of the stock 6 years from now is $76.17
c. Find the graph in the attachment
d. I receive a dividend of $0.026.
a. Write a function f(t) that models the situation.Since the stock price increases at a rate of 8% every year, and is initially $48, it follows exponential growth.
So, the current price [tex]F(t) = A(1 + r)^{t}[/tex] where
A = price at current moment = $48, r = rate of growth = 8% = 0.08 and t = number of yearsSo, [tex]F(t) = A(1 + r)^{t}[/tex]
[tex]F(t) = 48(1 + 0.08)^{t} \\= 48(1.08)^{t}[/tex]
So, the function that models the situation is F(t) = 48(1.08)ˣ
b. Determine the price of the stock 6 years from now?The price of the stock 6 years from now is gotten when t = 6.
So,
[tex]F(t) = 48(1.08)^{t} \\= 48(1.08)^{6} \\= 48(1.5869)\\= 76.17[/tex]
So, the price of the stock 6 years from now is $76.17
c. Sketch a graph of the price of the function vs time in yearsFind the graph in the attachment
d. BonusSince every quarter, the company pays a dividend of 1.5 %, the rate per year would be r = 1.5 % ÷ 1/4 year = 1.5 % × 4 = 6 % per year.
Since they pay at a rate, r = 6 % = 0.06 of the stock price, F(t) as dividend.
After n years, the dividend is D = (r)ⁿF(t)
= (0.06)ⁿF(t)
So, [tex]D = (0.06)^{t}F(t) \\= (0.06)^{t}[4.8(1.08)^{t}][/tex]
So, after 3 years when t = 3,
[tex]D = (0.06)^{t}[4.8(1.08)^{t}]\\D = (0.06)^{3}[4.8(1.08)^{3}]\\D = 0.000216 \times 48 \times 1.2597\\D = 0.013[/tex]
Since there are 3 shares, the total dividend would be D' = 3D
= 3 × 0.013
= 0.026
So, i receive a dividend of $0.026
Learn more about exponential function here:
https://brainly.com/question/12940982
#SPJ1
Solve for x when [tex]x^{yz} =y^{2}[/tex]
The value of x in x^yz = y^2 is [tex]x = \sqrt[yz]{y^2}[/tex]
How to solve for x?The equation is given as:
x^yz = y^2
Rewrite the equation properly as follows
[tex]x^{yz} = y^2[/tex]
Take the yz root of both sides
[tex]\sqrt[yz]{x^{yz}} = \sqrt[yz]{y^2}[/tex]
Apply the law of indices
[tex]x^{\frac{yz}{yz}} = \sqrt[yz]{y^2}[/tex]
Divide yz by yz
[tex]x = \sqrt[yz]{y^2}[/tex]
Hence, the value of x in x^yz = y^2 is [tex]x = \sqrt[yz]{y^2}[/tex]
Read more about equations at:
https://brainly.com/question/2972832
#SPJ1
Answer:
e
Step-by-step explanation:
Using euler's identity we can see that e^ipi=-1 and considering that i=y and i^2=-1 we can conclude that x=e
While traveling to Europe, Phelan exchanged 250 US dollars for euros. He spent 150 euros on his trip. After returning to the United States he converts his money back to US dollars. How much of the original 250 US dollars does Phelan now have? Round to the nearest cent.
The computation shows that the amount will be 44.70 Dollars.
How to illustrate the information?The options are missing: Here are the missing options:
A. 44.70 US dollars
B. 73.06 US dollars
C. 136.87 US dollars
D. 140.41 US dollars
For solving this question first we will convert the USD to euros.
The conversion rate we have is:
1 euro = 1.3687 USD
250/1.3687 = 182.655 euros
Now we will subtract it from what he has spent:
= 182.655 - 150
= 32.655 euros
Now we will again convert it back to USD. This will be:
32.655 euros * 1.3687 = 44,695 us dollars
Therefore, the answer is 44.70.
Learn more about computations on:
https://brainly.com/question/4658834
#SPJ1
A coffee shop gives the customer a free cup of coffee after the purchase of 5 cups: a.) industrial marketing program b.) loyalty marketing program c.) product sampling program d.) cooperative marketing program
Select the correct answer.
The variable b varies directly as the square root of c. If b= 100 when c=4, which equation can be used to find other combinations of b and c?
A b= 25c
B.
b = 50√e
OC. b = 200c
OD. b√e 50
-
Reset
Next
The equation in which b varies directly as the square root of c is b = 50 · √c. (Correct choice: B)
What is the equation of the direct variation between two variables?
In this problem we have a case of direct variation between two variables, which is mathematically described by a direct proportionality model, whose form and characteristics are shown below:
b ∝ √c
b = k · √c (1)
Where k is the proportionality constant.
First, we determine the value of the constant of proportionality by substituting on b and c and clearing the variable: (b = 100, c = 4)
k = b / √c
k = 100 / √4
k = 100 / 2
k = 50
Then, the equation in which b varies directly as the square root of c is b = 50 · √c. (Correct choice: B)
To learn more on direct variation: https://brainly.com/question/14254277
#SPJ1
TRUE OR FALSE: No matter the population distribution from which a sample of size n is taken, we can use the normal distribution to approximate the distribution of the sample mean as long as n is large enough.
Answer:
true
Step-by-step explanation:
mean we show up the distribution
Two fishing boats leave the same dock at the same time. One boat heads northeast and is travelling at a speed of 15 km/h while the other is travelling northwest at 18 km/h. After 45 minutes, the boats are 14.0 km apart. Assuming that both boats are travelling in straight paths, what is the angle between their paths to the nearest degree?
The angle between their paths to the nearest degree is 68⁰.
Displacement of each boats after 45 minutes
first displacement, a = 15 km/h x (45/60)
first displacement, a = 11.25 km
second displacement, b = 18 km/h x (45/60)
b = 13.5 km
Angle between their paths to the nearest degreec² = a² + b² - 2ab(cosθ)
2ab(cosθ) = a² + b² - c²
cosθ = (a² + b² - c²)/(2ab)
cosθ = (11.25² + 13.5² - 14²) / (2 x 11.25 x 13.5)
cosθ = 0.371
θ = arc cos(0.371)
θ = 68.22 ⁰
Thus, the angle between their paths to the nearest degree is 68⁰.
Learn more about angles here: https://brainly.com/question/25716982
#SPJ1
The perimeter of square JKLM is 48 units.
Square J K L M is shown. The length of J K is x + 3.
What is the value of x?
6
9
12
15
Answer:
9
(Correct On Edgen)