Answer:
A.
B.✅
C.✅
D.✅
E.
F.✅
Step-by-step explanation:
[tex](4x-1)² = 11 \\ 4x-1 = \sqrt{11 } \\ 4x = \sqrt{11} + 1 \\ x = \frac{ \sqrt{11} + 1 }{4} [/tex]
2x3-x2-2x+1 divided by 2x-1
Answer: we have to divide a
This should be done by using a long division method.
multiply x+1 by
Therefore the quotient is
The remainder is 0
Step-by-step explanation: hope this helps
Answer:
2x^3-7x/2 -1
Step-by-step explanation
Let me know if this is an option. I was unsure if the x was the letter x or the multiplication symbol. Thanks, let me know
The table represents a function.
X
-6
7
4
3
-5
f(x)
8
3
-5
-2
12
Which value is an output of the function?
-6
-2
07
Answer:
- 2
Step-by-step explanation:
The output of a function is a value of f(x) for a given value for x. From the table, only - 2 matches a value of f(x) and so this is the output.
All the others are values for x so they are inputs to the function
I do not understand UPSE what am I so sapouse to do and how?
First of all let me tell you UPSC is the body which conducts the civil services examination in our country. To prepare for the civil services you must know it is the highest offered post by the government to an citizen of India.
You have many subjects in order to complete the syllabus of civil services.
The examination takes place in two parts. In the first part there are multiple choice questions and in the second part there are subjective questions which must be answered in a descriptive format.
The candidate also has to face interview after clearing both the examinations.
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For f(x) = 3x+1 and g(x)=x2-6, find (f- g)(x).
The simplified equation of the given Arithmetic function (f- g)(x) is:
-x² + 3x + 7.
Arithmetic function describe as:Arithmetic is a fundamental branch of mathematics that studies the properties of classical operations on numbers such as addition, subtraction, multiplication, division, exponentiation, and root extraction.
Which of the following is not an arithmetic function?Addition, subtraction, multiplication, as well as division are the four basic arithmetic operations. There are additional arithmetic operators, such as exponentiation, modulus operations, increment, decrement, and so on. * - The operator for multiplication. As a result, the And operator is not an arithmetic operator.
According to the given information:Given:
f(x) = 3x+1
g(x)=x²-6
(f- g)(x) =
Substituting the value we get:
(f - g)(x) = (3x + 1) - (x² - 6)
= 3x + 1 - x² + 6
= -x² + 3x + 7
The simplified equation of the given Arithmetic function (f- g)(x) is = -x² + 3x + 7.
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What’s the answer to the question attached
(a) The third term of the sequence is 19.
(b) The term-to-term rule of the new sequence is "subtract 13 and then divide by 6".
The first term is given to be -2.The term-to-term rule is to multiply by 6 and then add 13.(a) The second term is equal to (-2)*6 +13The second term equals -12 +13The second term is 1The third term equals (1)*6 +13The third term equals 6 +13The third term is 19(b) The order of the three terms of the sequence is reversed.This means the term-to-term rule will be the inverse of the current term-to-term rule.We will now first subtract 13 and then divide by 6.To learn more about sequence, visit :
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140%of 138.6 is what
Hello, the answer is 194.04.
First, you would convert 140% to a decimal which is 1.4. Next, you would multiply 1.4 x 138.6 = 194.04.
So the steps to a percentage multiplied to a number are:
1. Convert the percentage to a decimal.
2. Multiply the decimal by the number.
3. You get the answer.
Please help 11 points add 11/3 + (-5/6) using the number line. select the location on the number line. select the location on the number number line to plot the sum.
The value of 11/3 + (-5/6) using the number line is 17/6.
Number line:
The number line is a visual representation of numbers on a straight line.
In a number line, Zero (0) is considered to be the origin of a number line. The numbers to the left of 0 are negative numbers and the numbers to the right of 0 are all positive numbers.
Given,
Here we have to add the values 11/3 + (-5/6) by using the number line.
To solve this one,
First we have to convert the fractions into decimals,
So, the decimal equivalent of
11/3 = 3.6
-5/6 = -0.8
So, the addition of these two is
=> (11/3) + (-5/6)
=> 3.6 + (-0.8)
=> 2.8
The fraction of the number is
=> 2.8 = 17/6.
This can be expressed in the following number line.
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Using graph paper, solve the following inequality. Then click on the graph until the correct one is displayed.
y ≥ |x - 1|
Using translation concepts, the first graph is the correct one.
What is a translation?A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction either in it’s definition or in it’s domain. Examples are shift left/right or bottom/up, vertical or horizontal stretching or compression, and reflections over the x-axis or the y-axis.
For this problem, the function y = |x - 1| is a shift right of 1 unit of the function y = |x|. For the inequality, all the values above the line, including the line, are marked.
The graph of |x - 1| is triangular positive, with vertex at x = 1, hence the first graph is the correct one.
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Stock Market At the beginning of the day the stock market goes up 30 1/2 points and stays at this level for most of the day. At
The
the end of the day the stock market goes down 80 1/4 points from the high at the beginning of the day. What is the total change
in the stock market from the beginning of the day to the end of the day?
The total change in the stock market is points.
(Type an integer, proper fraction, or mixed number.)
The total change in the stock market from the beginning of the day to the end of the day is -49.75.
According to the statement
We have to find that the change in the stock market.
So, For this purpose, we know that the
The change is the difference between the current price and the last trade of the previous day.
From the given information:
At the beginning of the day the stock market goes up 30 1/2 points and At
The end of the day the stock market goes down 80 1/4 points.
Then
Stock market goes up through points = 30 1/2 = 61/2
Stock market goes down through points = 80 1/4 = 321/4
Then
Change = +61/2 - 321/4
Change = +30.5 - 80.25
Change = -49.75
So, The total change in the stock market from the beginning of the day to the end of the day is -49.75.
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300000 + 3524142532 =
Answer:
3524442532 or 3.524442532 * 10 ^9
Step-by-step explanation:
Complete each function table,then graph the function
The y values from:
1. ₋6
2. ₋3
3. 0
4. 3
Given the x values and y value as y = 3x
1. when x = ₋2 then y = 3x
y = 3(₋2)
y = ₋6
2. when x = ₋1 then y = 3x
y = 3(₋1)
y = ₋3
3. when x = 0 then y = 3x
y = 3(0)
y = 0
4. when x = 1 then y = 3x
y = 3(1)
y = 3
therefore we get the points as (₋2 , ₋6) (₋1 , ₋3) (0,0) (1 , 3).The graph is pltted and attached.
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Find the largest possible area for a rectangle with base on the x-axis and both upper vertices are on the curve y=11-x^2
The largest area of rectangle can be A= (11√11)/√2
What is area of rectangle?To find the area of a rectangle, we multiply the length of the rectangle by the width of the rectangle.
Area = l × w. l = length. w = width.
Given:
y=11-x²
Consider,
x is the length of the base
y is the vertices on the curve (width)
As, the area of a rectangle with its base on the x-axis.
So, base =2x
Then Area of rectangle
A = 2x(11-x²)
Foe maximum area, dA/dx=0
dA/dx = 22-4x²
22-4x² =0
22=4x²
11/2 = x²
x=√(11/2)
Now, Put x=√(11/2) in area
A= 2*√(11/2) ( 11-11/2)
A= √22(11/2)
A= (11√11)/√2
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I need help on this.
For the functions in this problem, we have that:
a) The function is exponential, and the table is completed as follows.
x = 0: y = 1.x = 1: y = 5.x = 2: y = 25.x = 3: y = 125.x = 4: y = 625.x = 5: y = 3125.b) The function is linear, and the table is completed as follows.
x = 0: y = 0.x = 1: y = 5.x = 2: y = 10.x = 3: y = 15.x = 4: y = 20.x = 5: y = 25.c) The function is exponential and given by:
[tex]y = -16\left(\frac{1}{2}\right)^x[/tex]
What is an exponential function?An exponential function is modeled by:
[tex]y = ab^x[/tex]
In which:
a is the initial value.b is the rate of change.A function with initial value 1 and where the y-value is computed by multiplied the previous y-value by 5, as in item a, is an exponential function with parameters a = 1 and b = 5, hence the rule is:
[tex]y = 5^x[/tex]
Then:
x = 0: y = 1.x = 1: y = 5.x = 2: y = 25.x = 3: y = 125.x = 4: y = 625.x = 5: y = 3125.What is a proportional relationship?A proportional relationship is a function in which the output variable is given by the input variable multiplied by a constant of proportionality, that is:
y = kx
In which k is the constant of proportionality.
A proportional relationship is also classified as linear with a intercept of 0. For item b, since each y-value is the x-value multiplied by 5, the rule is:
y = 5x.
Hence the table is:
x = 0: y = 0.x = 1: y = 5.x = 2: y = 10.x = 3: y = 15.x = 4: y = 20.x = 5: y = 25.For item c, when x changes by 1, y is always multiplied by 1/2, and due to the multiplication, the function is exponential and given by:
[tex]y = -16\left(\frac{1}{2}\right)^x[/tex]
The -16 is because when x = 0, y = -16.
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Question 2 2.1 2.2 2.2.1 2.2.2 Determine the general solution for sin(x - 30°) = cos 2x Consider the functions f(x) = sin(x-30°) and g(x) = cos 2x Write down the period of g. State the range of f.
The general solution for the given equation is 40°+120°n.
The period of g(x) is π.
The range of f(x) is [-1, 1].
sin(x-30°) = cos 2xsin(x-30°) = sin(90°-2x)(x-30°) = (90°-2x) + 360°nx + 2x = 90° + 30° + 360°n3x = 120° + 360°nx = (120° + 360°n)/3The general solution (x) is 40° + 120°n. g(x) = cos 2xThe period of cos x is 2π. If the multiplying factor of x is 'n', then it decreases the period by n times.Here, in g(x), n is 2.The period of g(x) is equal to half the period of cos x. The period of g(x) = 2π/2The period of g(x) is π.f(x) = sin(x-30°)"Sin" is a trigonometric function which has a range from -1 to 1.To learn more about period, visit :
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Find the distance between each pair of points
(2,-8) and (5,-6)
(-6,3) and and (5,6)
(1,5) and (7,-3)
(-1,4) and (0,-4)
(1,-3) and (-7,-4)
(-7,-6) and and (1,0)
(-3,-5) and and (-1,-8)
(1,8) and (-6,-1)
(2,-8) and (-4,-1)
Step-by-step explanation:
x1=2 , y1= -8
x2=5 , y2=-6.
distance= rootunder x2-x1 whole square + y2-y1 whole square
=(5-2)whole square + (-6-(-8)) whole square
= root under 9+4
=rootunder 13 units
A projectile is launched from ground level with an initial velocity of vo feet per second. Neglecting air resistance, its height in feet t seconds after launch is given by s=-16t² + vol.
Find the time(s) that the projectile will (a) reach a height of 208 ft and (b) return to the ground when vo is 64 feet per second.
a) The times that the projectile will reach a height of 20.8 ft are 3.643 seconds and 0.357 seconds, respectively.
b) The projectile will hit the ground 4 seconds later of its launch.
How to analyze the launch of a projectile
Herein we find a physical model known as projectile motion, which considers that the motion of the object is created solely by gravity and effects from Earth's rotation and air viscosity are neglected. The height of the projectile is represented by the following quadratic equation:
s = - 16 · t² + 64 · t
In the first part, we need to determine when the projectile will reach a height of 20.8 feet:
20.8 = - 16 · t² + 64 · t
16 · t² - 64 · t + 20.8 = 0
(t - 3.643) · (t - 0.357) = 0
The times that the projectile will reach a height of 20.8 ft are 3.643 seconds and 0.357 seconds, respectively.
And the time when the projectile hits the ground is found by solving on t in the following quadratic equation:
- 16 · t² + 64 · t = 0
- 16 · t · (t + 4) = 0
The projectile will hit the ground 4 seconds later of its launch.
RemarkIn the part (a) a dot symbol was omitted, correct part is: Find the time(s) that the projectile will (a) reach a height of 20.8 ft.
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Is the function even, odd, or neither? Explain your reasoning.
Answer:
The function is neither odd, nor even
Step-by-step explanation:
It is because an even function is always symmetrical in respect with the y axis
It is because an odd function is always symmetrical in respect with the origin
I need this answer ASAP I will for real pay you just please help me out
The water level in Colorado river is 2.55 m below average. a large rainfall caused The water level to rise 0.8 m. what is the water level after the rainfall?
The water level after the rainfall in the Colorado River is 3.35 meters.
How is the water level determined?The water level after the rainfall can be determined using the mathematical operation of addition.
A mathematical operation changes the output value of some input values.
For instance, adding 0.8 to 2.55 results in 3.35 meters of the height of the Colorado River after the rainfall.
Data and Calculations:The average water level in the Colorado River = 2.55 m
Increase in water level following the large rainfall = 0.8 m
New water level after the rainfall = 3.35 M (2.55 + 0.8)
Thus, the water level after the rainfall in the Colorado River is 3.35 meters.
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8w-6(w-4)=2(w+9)
please help asap
Answer:
w = -7.04 and 1.705
Step-by-step explanation:
First lets distribute.
We have 8w-6w(w-4), so let's distribute the -6w to w and -4
8w-6w^2+24w = 2(w+9)
Now for the other side we distribute 2 to w and 9
8w-6w^2+24w = 2w +18
Now we combine like terms
6w^2+32w = 2w +18
Carry both 2w and 18 to the other side
6w^2 +30w -18 = 0
Now we can factor the equation, i used the quadratic method which is x= -b+- the square root of b^2-4ac /2a (in this case x would be w)
Plugging that in:
x= -32 +- square root of 32^2 -4(6 * -18) / 2(6)
-32 +- square root of 1024 +1728 / 12
-32 +- square root of 2752 /12
-32 +- 52.46 /12
x = -32 - 52.46/12 and -32 + 52.46/12
x= -84.46/12 and 20.46/12
x= -7.04 and 1.705
so w = -7.04 and 1.705
Sorry this was so complicated, but I hope this helps
write an equation for the following math sentence
one fourth times the difference of ten and a variable
Given statement 'one fourth times the difference of ten and a variable' as a mathematical expression would be: 1/4 (10 - x)
In this question, we have been given a mathematical statement 'one fourth times the difference of ten and a variable'
We need to write an equation for the given math sentence.
Given math sentence: one fourth times the difference of ten and a variable
Let the variable be 'x'
We rewrite above statement as,
one fourth times the quantity ten minus x
⇒ 1/4 × (10 - x)
so, we get an expression 1/4 (10 - x)
Therefore, given statement 'one fourth times the difference of ten and a variable' as a mathematical expression would be: 1/4 (10 - x)
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Solve the given differential equation by using an appropriate substitution. the de is a bernoulli equation. xdy/dx-(1 x)y=xy^2
-ln ( 1 - x/y - x) = c is a bernoulli equation. xdy/dx-(1 x)y=xy^2.
What is a differential equations explain?
Any equation with one or more terms and one or more derivatives of the dependent variable with respect to the independent variable is referred to as a differential equation (i.e., independent variable) dy/dx = f(x) (x)
[tex]\frac{-1}{y} = u[/tex]
[tex]\frac{y'}{y^{2} } = u'[/tex]
[tex]xy' - ( 1 + x )y = xy^{2}[/tex]
[tex]x\frac{y'}{y^{2} } - ( 1 + x ) \frac{1}{y} = x[/tex]
xu' + ( 1 + x )u = x
xu' + u + ux = x
xu = s
u + xu' = s'
s' + s = x
s - x =t
s' - 1 = t'
t' + 1 + t = 0
dt/dx = - ( 1 + t)
-∫ [tex]\frac{dt}{1 + t} =[/tex] ∫dx
-ln ( 1+ t ) = x + c
-in ( 1 + s - x ) = x + c
-ln ( 1 + xu - x ) = x + c
-ln ( 1 - x/y - x) = c
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what is the reference angle for 202 degrees
Answer: 22 degrees
Step-by-step explanation:
Since the angle 180° is in the third quadrant, subtract 180° from 202°.
There are three dials on a combination lock.
Each dial can be set to one of the numbers 1, 2, 3, 4, 5, 6
The three digit number 536 is one way the dials can
be set as shown in the diagram.
a) Work out the number of different three digit numbers
that can be set for the combination lock.
Answer: 136, 625,532,413
Step-by-step explanation:
Carnegie Learning, Inc.
Victor drew a square with vertices at (1, 2), (3, 2), (3, 4), and (1, 4). He slides the square 5 units
up to create an image. What are the vertices of the image and the algebraic rule?
A (6,2), (8, 2), (8, 4), and (6, 4); (x + 5, y)
B (1,7), (3, 7), (3, 9), and (1, 9); (x, y + 5)
C (1, -3), (3, -3), (3, -1), and (1, -1); (x, y - 5)
D (1,-2), (3,-2), (3, -4), and (1,-4); (x, -y)
Why a is wrong?
And why b is correct
Answer:
B
Step-by-step explanation:
The y coordinate tells us when we are going up for down. So the rule would be (x, y + 5) So, the x coordinate stays the same and the y goes up 5.
(1,2) The 2 is the y coordinate. It will increase by 5 and become (1,7)
(3,2) The 2 is the y coordinate. It will increase by 5 and become (3,7)
(3,4) The 4 is the y coordinate. It will increase by 5 and become (3,9)
(1,4) The 4 is the y coordinate. It will increase by 5 and become (1,9)
If you roll a standard 6 sided die and you get paid $1 for every spot it lands on (so if you roll a 5 that would mean $5), what's the average payout for one roll?
Answer:
20
Step-by-step explanation:
You roll a number cube. What is the probability that you roll an even number or a number less than 5?
Evaluate $\sqrt{5\cdot10\cdot14\cdot21\cdot15\cdot20}$.
Janet rents a booth at the farmers market that costs $150 a day. She sells jars of fresh honey from her family farm for $8 each. At the end of the day, she splits all the money she brings home with her mom who takes care of the bees. If j is the number of jars of honey sold, write a function f(j) representing how much money Janet makes each day.
The function which represents how much money Janet makes each day according to the task content is; (8j/2) - 150.
Which function represents how much money Janet makes each day?Given;
Booth rent = $150Cost of each honey jar = $8Number of jars sold = jAccording to the given parameters; the total amount of money made from honey sale is; $8 × j = $8j.
Hence, since she splits the money with her mom, it follows that her personal income is; $8j/2.
Ultimately, after paying $150 a day for the booth rental, the amount made by Janet is; $8j/2 - $150.
The required function, f(j) is therefore;
f(j) = (8j/2) - 150.
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HELPPP I’ll mark you BRAINLIST if it’s right
Answer:
is 0 is the right answer of this??
Answer: The factored answer for 36c - 81 is 9(4c−9)
Step-by-step explanation:
Based on the question as posed, 9(4c-9) is the factored answer. It is not possible to derive a single whole number value based on this equation, though the factored result would be greater than 1 where c > 3.
what do you notice about absolute 6 and -6
Answer: they have the same absolute value
Step-by-step explanation: -6 and positie 6 are both 6 units from zero