Answer:
Step-by-step explanation:
bonjour :
soit x le nombre des feuilles dans le classeur
les deux tiers des feuilles sont blanches veut dire : (2/ 3)x
un sixieme des feuilles sont bleues veut dire : (1/6)x
on compose cette équation : (2/ 3)x + (1/6)x +12 = x
rsolvont cette équation : multiplions les deux membres par : 6
4x+x+72 =6x
4x-6x+x+72=6x-6x
-x+72=0
x=72
verification :(2/3)(72)+(1/6)(72)+12=144/3 +72/6 +12 =48+12+12=72
Solve the system of equations using substitution.
y = 2x + 3
y = 3x + 1
a. (-2,-1)
b. (-2,-5)
c. (2,7)
d. (-1,-2)
Answer:
C. (2,7)
Step-by-step explanation:
2x+3 = 3x+1
x=2
y= 2×2+3
y=7
Given that Cos0=5/13,find a)Tan0,b)Sin0,c)Sec0,d)Co sec0,e)Cot0,
cos θ = Adjacent/ hypotenuse
cosθ= 5/13
a²+b²= c²
a² + 5² = 13²
a² = 13² - 5²
a² = 144
a=√144
a= 12
a is the opposite = 12
b is the Adjacent = 5
c is the hypotenuse = 13
a) tan θ= opposite/Adjacent
tan θ = 12/5
b) sin θ= opposite/ hypotenuse
sinθ= 12/13
C) sec θ= hypotenuse / Adjacent
sec θ= 13/5
d) cscθ= hypotenuse /opposite
cscθ= 13/12
e) cotθ=Adjacent/ opposite
cotθ= 5/12
Julia has 2 chemistry books and 3 math books. In her rush to get to class, she grabs two books without stopping to look. What is the probability that she pulls out a math book and a chemistry book?
Answer:
P(M &C) = 0.24
Step-by-step explanation:
Chemistry book will be denoted by C
Mathematics book will be denoted by M
5C2 = 10
There are 10 possible ways in which she can choose two books from the 5 books.
The probability of choosing a chemistry book:
P(C) = 2/5
The probability of choosing a mathematics book:
P(M) = 3/5
Probability of choosing a chemistry book and a mathematics book:
P(M &C) = (2/5) × (3/5)
P(M &C) = 0.24 or 24%
The probability that she pulls out a math book and a chemistry book will be 0.24.
What is mean by Probability?The term probability refers to the likelihood of an event occurring
Given that;
Julia has 2 chemistry books and 3 math books.
Now,
Since, Julia has 2 chemistry books and 3 math books.
Hence, Total number of books = 2 + 3 = 5
So, The probability to choosing a chemistry book = 2/5
And, The probability to choosing a math book = 3/5
Thus, The probability that she pulls out a math book and a chemistry book is,
⇒ 2/5 × 3/5
⇒ 6/25
⇒ 0.24
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In this picture, m∠XOZ = 77° and m∠YOZ = 40°. If m∠XOY = (5x + 16)°, what is the value of x?
A. 20.2
B. 37
C. 4.2
D. 2.1
PLSSSS HELP!!
Step-by-step explanation:
ang xoz = ang yoz + 5x+16
77 = 44 + 5x+16
77 = 5x+60
5x= 17
x= 3.4
Find the area of the polygon
Answer:
answer is 40
hope it helps
v(x)=x^2-25
————-
2x^2+13x+15
Describe the domain in complete sentences.
Write the domain in inequality notation.
Answer:
-∞ < x < -5 ∪ -5 < x < -3/2 ∪ -3/2 < x < ∞
Step-by-step explanation:
The domain of any polynomial is "all real numbers." The domain of any rational function excludes any values of the variable that result in the denominator being 0. The function is "undefined" there.
__
[tex]v(x)=\dfrac{x^2-25}{2x^2+13x+15}=\dfrac{(x+5)(x-5)}{(x+5)(2x+3)}\qquad x\notin \{-5,-\dfrac{3}{2}\}[/tex]
The values x=-5 and x=-3/2 make the denominator of v(x) become 0, so those values are excluded from the domain of v(x). The function is "undefined" when its denominator is zero.
-∞ < x < -5 ∪ -5 < x < -3/2 ∪ -3/2 < x < ∞
_____
Additional comment
The numerator and denominator factors (x+5) cancel each other, so there is no vertical asymptote at x=-5. Rather, the function has a "hole" there, where it is undefined. The limit as the function approaches x=-5 from either direction is v(x) = 10/7.
I NEED HELP ASAP!!!!!!!!
QUESTION BELOW
Answer:
Step-by-step explanation:
Function g is represented by the table. x -1 0 1 2 3 4 g(x) 24 6 0 -2 Which statement correctly compares the two functions? A. They have the same end behavior as x approaches -∞ but different end behavior as x approaches ∞. B. They have different end behavior as x approaches -∞ and different end behavior as x approaches ∞. C. They have different end behavior as x approaches -∞ but the same end behavior as x approaches ∞. D. They have the same end behavior as x approaches -∞ and the same end behavior as x approaches ∞.
The statement which correctly compares the two functions is that they have the same end behavior as x approaches -∞ but different end behavior as x approaches ∞.
What is a Function?A function assigns the value of each element of one set to the other specific element of another set.
Function g is represented by the table.
x -1 0 1 2 3 4 g(x) 24 6 0 -2The line plotted with these data is shown below where y represent the g(x).
In this line,
X-intercept approaches negative infinity (-∞) to positive infinity (∞).Y-intercept approaches -2.426 to 24.86.Thus, the statement which correctly compares the two functions is that they have the same end behavior as x approaches -∞ but different end behavior as x approaches ∞.
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Pls help I cant figure it out ;-;
Answer:
coke red
Step-by-step explanation:
correct me if im wrong
Felix buys five vests for $22 each, three pairs of shoes for $50 each, and six hats for
$17 each.
What is the mean amount that he spent?
$34.62
$32.81
$25.86
$22
Answer:
25.86
Step-by-step explanation:
22 * 5 = 110
50 * 3 = 150
17 * 6 = 102
110 + 150 + 102 = 362
362 / 14 = 25.86
What whole number should replace C so that the
three values are in ascending order?
27%, С/10, 0.36
Answer:
3
Step-by-step explanation:
3/10 = .3
Please help me with this
Answer:
B
Step-by-step explanation:
Combine like terms
8x + x = 9x
Put the numbers in the correct format
x³ + 9x + 5
This type of equation is a cubic trinomial because it has 3 terms and the first term is x cubed.
I hope this helps and please mark me as brainliest!
Answer:
The answer is B
Step-by-step explanation:
It is a cubic and a trinomial
if sin = 3/5, than cos =
Answer:
cos θ = 4/5
Explanation given below in the image,
I hope my answer helps you.
The area of the circle
Answer:
314 miles
Step-by-step explanation:
Area of circle: 3.14(r^2)
Now lets solve!
3.14(10^2)
3.14(100)
314
Have an amazing day!!!
Please rate and mark brainliest!!
The area of the circle formula --> [tex]\pi r^2[/tex]
[tex]\pi[/tex] ≈ 3.14r: length of radius --> 10 mi[tex]Area = \pi r^2=\pi (10mi^2) = (100\pi) mi^2= 314 mi^2[/tex]
Hope that helps!
Given h of x equals 3 times the square root of x plus 2 end root, which of the following statements describes h(x)?
The function h(x) is increasing on the interval (–∞, –2).
The function h(x) is decreasing on the interval (2, ∞).
The function h(x) is decreasing on the interval (–∞, 2).
The function h(x) is increasing on the interval (–2, ∞).
Answer:
The function h(x) is increasing on the interval (-2, ∞)
Step-by-step explanation:
Given function: [tex]h(x)=3 \sqrt{x+2}[/tex]
We cannot square root a negative number, therefore the domain (x-values) is restricted:
[tex]x+2\geq 0 \implies x\geq -2[/tex]
Therefore, [tex]h(x)\geq 0[/tex]
⇒ The function h(x) is increasing on the interval (-2, ∞)
Answer:
FLVS ANSWER D- The function h(x) is increasing on the interval (–2, ∞).
Step-by-step explanation:
you dont need one
A storage compartment is shaped like this hexagonal prism. The prism has a base area of 7.35 cm². What is the volume of the compartment? Enter your answer as a decimal in the box.
100 POINTS AND BRAINLIEST. I need help ASAP.
Screenshots Below.
Consider the table of values for functions f(x) and g(x).
x f(x) g(x)
−2 14 4
−1 12 1
0 1 0
1 2 1
2 4 4
3 8 9
4 16 16
Which statements are most likely true based on the given values?
Select each correct answer.
f(x) is a polynomial function.
f(x) is an exponential function.
g(x) is a polynomial function.
g(x) is an exponential function.
The output values of g(x) will remain greater than those of f(x) as the input values continue to increase.
The output values of f(x) will surpass those of g(x) as the input values continue to increase.
Answer:
Step-by-step explanation:
First what we must do is rewrite the table to find a solution:
0.25^x −0.75x+1
64 3.25
16 2.5
4 1.75
1 1
0.25 0.25
0.0625 −0.5
0.015625 −1.25
We see where the values of the function are the same:
x = 0 (1)
x = 1 (0.25)
answer:
x = 0
x = 1
Answers:
f( x ) is an exponential function.g( x ) is a polynomial function.The output values of f( x ) will surpass those of g( x ) as the input values continue to increase.1. Suppose three companies A, B and C dominate the market for a certain product and are
competing against each other for a large share of the market. Currently company A has 2/9 of the
market, company B has 4/0 of the market and company C has 1/3 of the market. The market
survey indicates that every 6 months Company A retains of its customer and loss 1/6 to
company B and 1/12 to company C. Company B retains 12 of its customers and loss 1/3 to
company A and 1/6 to company C. Company C retains 3/8 of its customers and loss A to
company A and 3/8 to company B. Find the market share of each company in the long run is
about
The market share of the companies is an illustration of fractions.
The market share of each company in the long run (i.e. after 6 months) is 37/108, 35/216 and 1/108, respectively
How to determine the market shares in the long runThe current market shares are:
Company A = 2/9Company B = 4/9Company C = 1/3After 6 months, we have:
Company A:
Retains 3/4Losses 1/6 to BLosses 1/12 to CCompany B:
Retains 1/2Losses 1/3 to ALosses 1/6 to CCompany C:
Retains 3/8Losses 1/4 to ALosses 3/8 to BThe amount of customers lost by each company is
Lost = Market share * [Share retained - Share lost to the other two companies].
So, we have:
A = 2/9 * [3/4 - 1/6 - 1/12] = 1/9
B = 4/9 * [1/2 - 1/3 - 1/6] = 0
C = 1/3 * [3/8 - 1/4 - 3/8] = -1/12
The amount of customers gained by each company is
Gain = Market share of company gained from * Share gained
So, we have:
A = 1/3 * 4/9 + 1/4 * 1/3 = 25/108
B = 1/6 * 2/9 + 3/8 * 1/3 = 35/216
C = 1/12 * 2/9 + 1/6 * 4/9 = 5/54
The total gain in 6 months is:
Total Gain = Gain + Loss.
This gives
A = 25/108 + 1/9 = 37/108
B = 35/216 + 0 = 35/216
C = 5/54 - 1/12 = 1/108
Hence, the market share of each company in the long run (i.e. after 6 months) is 37/108, 35/216 and 1/108, respectively
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The interest on an investment varies directly as the rate of interest. If the interest is $48 when the interest rate is 10%, find the interest when the rate is 4.3%
Answer:
48×4.3=184 and that is the easy way how to do it
which graph represents the parabola with the equation y^2=-1/3x
Step-by-step explanation:
The graphs are not give but the graph looks like the above picture.
Evaluate −6a^3+8a^2+8a+1, when a=5.
Answer:
-509
Step-by-step explanation:
1. Subsitute 5 for a in the expression. -6(5)^3+8(5)^2+8(5)+1
2. -6(125)+8(25)+40+1
3. -750+200+41
4. -509
Evaluate (sqrt(2+i))^8
Step-by-step explanation:
[tex]( \sqrt{2 + i} ) {}^{8} [/tex]
Notice that
[tex] \sqrt{a} = a {}^{ \frac{1}{2} } [/tex]
So
if 8 pieces is 180 calories how many calories would one piece be?
Answer:
22.5
Step-by-step explanation:
8 pieces is 180 calories to find the calorie of one piece :
180/8 to get 22.5
Find the value of y for the given value of x.
y=2−9x;x=2/3
Answer:
-4
Step-by-step explanation:
y=2-9×(2/3)=2-6= -4
Felix's kitchen table is round and has a radius of 3 feet. What is the tabletop's area?
use 3.14
Answer:
28.26 ft squared
Step-by-step explanation:
Area is pi*r^2
3.14*(3)^2
3.14*9
28.26
7(5/14a-5/21)-1/12(3a+6)
[tex]\sf \dfrac{9a}{4}-\dfrac{13}{6}[/tex] or [tex]\sf \dfrac{54a-52}{24}[/tex]
======================================
[tex]\sf \rightarrow 7\left(\dfrac{5}{14}a-\dfrac{5}{21}\right)-\dfrac{1}{12}\left(3a+6\right)[/tex]
use distributive method
[tex]\sf \rightarrow \dfrac{5a}{2}-\dfrac{5}{3}-\dfrac{a}{4}-\dfrac{1}{2}[/tex]
group terms
[tex]\rightarrow \sf \rigtharrow \dfrac{5a}{2}-\dfrac{a}{4}-\dfrac{5}{3}-\dfrac{1}{2}[/tex]
make the denominators same
[tex]\rightarrow \sf \rigtharrow \dfrac{2(5a)}{4}-\dfrac{a}{4}-\dfrac{2(5)}{6}-\dfrac{3(1)}{6}[/tex]
simplify
[tex]\rightarrow \sf \rigtharrow \dfrac{10a-a}{4}-\dfrac{10+3}{6}[/tex]
answer in separate constants
[tex]\rightarrow \sf \dfrac{9a}{4}-\dfrac{13}{6}[/tex]
make the denominators same
[tex]\rightarrow \sf \dfrac{6(9a)}{24}-\dfrac{4(13)}{24}[/tex]
simplify
[tex]\rightarrow \sf \dfrac{54a}{24}-\dfrac{52}{24}[/tex]
join both fractions
[tex]\rightarrow \sf \dfrac{54a-52}{24}[/tex]
Answer:
[tex]\boxed{\dfrac{9a}{4} - \dfrac{7}{6}}[/tex]
Step-by-step explanation:
[tex]7(\dfrac{5a}{14} - \dfrac{5}{21} ) - \dfrac{(3a + 6)}{12}[/tex]
Step-1: Simplify the distributive property
⇒ [tex]\dfrac{35a}{14} - \dfrac{35}{21} - \dfrac{(3a + 6)}{12}[/tex]
Step-2: Make common denominators
⇒ [tex]\dfrac{35a \times 3}{14 \times 3} - \dfrac{35 \times 2}{21 \times 2} - \dfrac{7 \times (3a + 6)}{12 \times 7}[/tex]
⇒ [tex]\dfrac{210a}{84} - \dfrac{140}{84} - \dfrac{7 \times (3a + 6)}{84}[/tex]
Step-3: Simplify the distributive property
⇒ [tex]\dfrac{210a}{84} - \dfrac{140}{84} - \dfrac{21a + 42}{84}[/tex]
Step-4: Rewrite (21a + 42)/84 in a different way
⇒ [tex]\dfrac{210a}{84} - \dfrac{140}{84} - \dfrac{21a}{84} + \dfrac{42}{84}[/tex]
Step-5: Add/Subtract if necessary
⇒ [tex]{\dfrac{189a}{84} - \dfrac{98}{84}}[/tex]
Step-6: Simplify the fractions
⇒ [tex]{\dfrac{189a}{84} - \dfrac{98}{84}} = {\dfrac{9a}{4} - \dfrac{49}{42}} = \boxed{\dfrac{9a}{4} - \dfrac{7}{6}}[/tex]
show that the function [tex] f : R \dashrightarrow R [/tex] defined by f ( x ) = [tex]\frac{1}{x} \\ [/tex] is one - one but not onto.
thankyou! :)
[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]
The given function is :
[tex]\qquad \tt \dashrightarrow \:f(x) = \frac{1}{x} [/tex]
here, for each value of x there is an unique value of f(x), so we can infer that it's a " one - one " function.
but it isn't an onto function because for value of x as 0, we have no value of f(x) [ undefined ]
Charles decided that his old car could not make a 1200 mile trip; it might break down. Rather than take a chance on a big repair bill, and breaking down on the road, he decided to rent a car. The rental is $99 for a special three day weekend rate, with unlimited miles. If the rental car gets 30 miles per gallon and Charles has to pay $3.85 per gallon for gas, what is the total cost of gasoline and rental for the trip
Using proportions, it is found that the total cost of gasoline and rental for the trip is of $253.
What is a proportion?A proportion is a fraction of a total amount.
In this problem, the total cost is composed by:
The rental fee of $99.The gasoline cost, of $3.85 per gallon, considering that 1200/30 = 40 gallons were used.Hence, the total cost is given by:
C = $3.85 x 40 + $99 = $253.
More can be learned about proportions at https://brainly.com/question/24372153
Answer:
C = $3.85 x 40 + $99 = $253.
Step-by-step explanation:
I took the test
Find the volume please help I don't understand.
By dividing the figure into a rectangular prism and a pyramid, we will see that the total volume is 2,400 ft^3
How to find the volume?
We can divide the given figure into two simpler ones.
A rectangular prism of 20 ft by 10 ft by 10 ft, whose volume is the product of these dimensions:
V = 20ft*10ft*10ft = 2,000 ft^3
And a pyramid of 4 sides, with a height of 6ft and a base of 20ft by 10ft, and we know that the volume of the pyramid is one-third of the product between the base and the height.
V' = (1/3)*6ft*(20ft*10ft) = 400ft^3
Then the total volume of the given figure is:
volume = V + V' = 2,000ft^3 + 400ft^3 = 2,400 ft^3
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x^2 + 10x + 21 = 0
Solve for x using "Completing the Square"
Answer:
[tex]x=-7,-3[/tex]
Step-by-step explanation:
Completing the square means you are changing the polynomial so that it is a perfect square trinomial. Since the middle term is 10, we need the last term to be 25 since 5+5=10, thus, 5*5=25:
[tex]x^2+10x+21=0\\x^2+10x+21+4=0+4\\x^2+10x+25=4\\(x+5)^2=4\\x+5=\pm2\\x=-7,-3[/tex]
As you can see, because we change [tex]x^2+10x+21[/tex] to [tex]x^2+10x+25[/tex] by adding 4 to both sides, we were able to reduce it to [tex](x+5)^2[/tex], a perfect square, and solve the rest of the problem.
