Answer: 0.049
Step-by-step explanation:
Answer:
Step-by-step explanation:
0.061
Find the value of k so that the remainder is 3(x^2-x+k) divided by (x-1)
Okay, here we have this:
Considering the provided polynomials, we are going to calculate the requested value, so we obtain the following:
So first we will perform the division assuming that k=0 to see what is the remainder that is obtained:
[tex]\begin{gathered} \frac{x^2-x}{x-1} \\ =\frac{x(x-1)}{x-1} \\ =x \end{gathered}[/tex]We obtain that the remainder when taking k=0, is zero, then it will mean that the k must be equal to the residue that we want:
In other words, if we want the remainder to be 3, k must be equal to 3, replacing:
[tex]\begin{gathered} \frac{x^2-x+k}{x-1} \\ \frac{x^2-x+3}{x-1} \\ =x+\frac{3}{x-1} \end{gathered}[/tex]Finally we confirm that for the remainder to be 3, the value of k must be equal to 3.
Find the distance between the points (20, 15) and (20, 6).
Answer:
5,14
Step-by-step explanation:
What is the linear function represented by the graph?
f(x) = 1/2x + 1
f(x) = -1/2x+ 1
f(x) = 1/2x+1/1/2
f(x) = -1/2x + 1/2
The linear function (B) [f(x) = -1/2x+ 1] represents the given graph with coordinates (0, 1) and (2, 0).
What are linear functions?The term "linear function" in mathematics applies to two different but related ideas: A polynomial function of degree zero or one that has a straight line as its graph is referred to as a linear function in calculus and related fields.The graph of a linear function is a straight line. The following is the form of a linear function. a + bx = y = f(x). One independent variable and one dependent variable make up a linear function. X and Y are the independent and dependent variables, respectively.So, the linear function that represents the graph:
We need to plot all the functions on the graph to get the correct linear function.After plotting, we came to the conclusion that function [f(x) = -1/2x+ 1] represents the same graph as shown in the figure.Therefore, the linear function (B) [f(x) = -1/2x+ 1] represents the given graph with coordinates (0, 1) and (2, 0).
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Complete question:
What is the linear function represented by the graph?
A. f(x) = 1/2x + 1
B. f(x) = -1/2x+ 1
C. f(x) = 1/2x+1/1/2
D. f(x) = -1/2x + 1/2
A polynomial function has local maxima at (0, -1) and (3,-2). The complex number (1+2i) is a
zero of the function. What is the least possible degree of the function?
Answer:
6
Step-by-step explanation:
i once saw it on a function quiz and i believe that was correct
the sun of a first and second number is 184 three times the first number decreased by 212 is equal to the second number find the two numbers let x represent the first number and y represent the second number write the system of equations used to solve this problem
Answer:
B.is the answer.
Step-by-step explanation:
Ben paid $1200 for a sofa. The price of the sofa Juana purchased was ⅔ the price that Ben paid. How much did Juana pay for her sofa?
Answer:
800
Step-by-step explanation:
which of the points plotted below satisfy the equation in the box? check all that apply point Apoint Bpoint Cpoint Dpoint Epoint F
The equation is:
[tex]y=-3x[/tex]so is in the form y = mx + c
this means that C = 0 so the intersection when x = 0 y = 0 so the first point is (0,0)
we also know that the slope is negative, so only points in the II and IV cuadrant can be part of the line so we evaluate them:
For point A
[tex]\begin{gathered} 9=-3(-3) \\ 9=9 \end{gathered}[/tex]point A is part of the line (-3,9)
For point D
[tex]\begin{gathered} -6=-3(2) \\ -6=-2 \end{gathered}[/tex]So D is part of the line
So the solution is: PointsIf you don’t need further explanation on this question, we can end the session. I’d really appreciate you letting me know how I did by rating our session after you exit. Thanks and have a great day! A, B, D
Answer:
correct answer: B and F
Step-by-step explanation:
Write an equation for the line that passes through (3,-14) having slope 0. Give the answer in standard form
Slope intercept form:
y= mx + b
where:
m= slope
b= y intercept
m= 0
Replace (x,y) by the given point (3,-14) and solve for b
-14 = 0 (3)+ b
-14 = b
Slope intercept form:
y= - 14
Standard form:
Ax+BY = C
y = -14
what's the length and width of the actual flower bed.
Answer:
length: 16ft
breadth:- 12ft
I would like to know the formula that was used to get 120 cm
The given figure is a 2d representation of a 3d figure. If we wrap this figure, we get a building block.
In the figure below, the unknown edges are written:
Now, we have to find the area of all the polygons given in the figure. It consists of two same triangles and three different rectangles.
The area of the two triangles is given below:
[tex]\begin{gathered} A=2\times\frac{1}{2}\times\text{base}\times\text{height} \\ =\text{base}\times\text{height} \\ =3\times4 \\ =12 \end{gathered}[/tex]Thus, the area of two triangles is 12 cm^2.
We know that the area of a rectangle is length times width. Now, the area of three rectangles is given below:
[tex]\begin{gathered} A=9\times5+9\times4+9\times3 \\ =45+36+27 \\ =108 \end{gathered}[/tex]Thus, the area of three rectangles is 108 cm^2.
So, the total area is 12 + 108 = 120 cm^2.
To the nearest tenth, what is the best estimate of the value of 4/12 ?
Answer: 0.3 or 3/10
4/12 is equal to 1/3.
1/3 is closest to 0.3 when you round to the nearest tenth.
PLS HELP ASAP THIS IS DUE TODAY!!!!!!
Are lines L1 and L2 Parallel? Are lines L1 and L4 perpendicular? Explain your thinking.
The lines L1 and L2 are parallel and the Line L1 and L4 are not perpendicular .
In the question ,
it is given that ,
there are four line on the graph ,
to check whether lines are parallel or perpendicular , we need slope,
the Line L4 passes through the points , (0,-5) and (-2,-5),
slope = (-5+5)/(-2)
= 0
the Line L1 passes through the points (-3,-2) and (-6,-8) ,
slope = (-8+2)/(-6+3)
= -6/(-3)
= 2 ,
for the lines to be perpendicular the product of slope should be -1,
but the product of slope of Line1 and Line 4 is 0 .
So , they are not perpendicular .
the line L2 passes through the points (3 , 3.5) and (0 , -2.5) ,
slope = (3.5+2.5)/3
= 6/3
= 2 ,
Since the slope of Line1 and Line2 are equal ,
So , they are parallel .
Therefore , The lines L1 and L2 are parallel and the Line L1 and L4 are not perpendicular .
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D what is the image pointof (3-4) after a translationleft 2 units and up 2 units?
Point = (3,-4)
After a translation left 2 units(-2) and 2 units up
(3-2,-4+2) = (1,-2)
The ratio of the heights of similar cones is 5:2. If the base area of the small cone is 64pi cm^2, find the base area of the large cone. Thanks!
Answer: 400π
Explanation:
From the information given, the ratio of the heights is 5:2. This means that the scale factor is 5:2. This means that the ratio of the areas is
(5/2)^2 = 25/4 = 25:4
Thus,
base area of large cone/base area of small cone = 25/4
Given that base area of small cone is 64π, it means that
base area of large cone/64π = 25/4
By cross multiplying,
base area of large cone = 25/4x 64π
base area of large cone = 400π
If f(x) = 2x - 9, which of the following are correct? Select all that apply. f(-1) = -11 f(2) = 5 f(3) = -3 f(0) = -9 f(-3) = 15
The correct options are f(-1) = -11, f(3) = -3 and f(0) = -9.
Given equation:-
f(x) = 2x - 9
We have to find which of the following are correct:-
f(-1) = -11 ,f(2) = 5 ,f(3) = -3 ,f(0) = -9 and, f(-3) = 15
Putting x = -1 in the given equation, we get:-
f(-1) = 2*(-1) - 9 = -2 - 9 = -11
Hence, this is true.
Putting x = 2 in the given equation, we get:-
f(2) = 2*(2) - 9 = 4 - 9 = -5
Hence, this is false.
Putting x = 3 in the given equation, we get:-
f(3) = 2*(3) - 9 = 6 - 9 = -3
Hence, this is true.
Putting x = 0 in the given equation, we get:-
f(0) = 2*(0) - 9 = 0 - 9 = -9
Hence, this is true.
Putting x = -3 in the given equation, we get:-
f(-3) = 2*(-3) - 9 = -6 - 9 = -15
Hence, this is false.
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You are at a grocery store and the cost of your groceries is $32.75. You need to add the sales tax, which is 6%. You have one $20 bill, two $10 bills, one $5 bill, five $1 bills, and some pennies.
How much is your total bill including tax?
How much should you give the cashier so you do not get back any pennies?
What denominations will you use for this?
1. The total bill including sales tax is $34.72.
2. The amount the purchaser should pay the cashier is $34.72.
3. The denominations for the payment should be one $20 bill, one $10 bill, four $1 bills, and 72 cents (pennies).
How is the total cost determined?The total cost payable to the grocery store cashier is the cost of the groceries plus the sales tax.
The cost for groceries = $32.75
Sales tax = 6%
Total cost = cost plus sales tax
= $34.72 ($32.75 x 1.06)
We can check the sum as follows:
Unit Bill Amount
1 $20 $20
1 $10 10
4 $1 4
Cents 0.72
Total $34.72
Thus, the grocery purchaser will be spending $34.72, including the sales tax.
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In the equation IX=b, if b<0, then how many solutions are there for x? Think about this: b is a number less than 0
If we assume x and b are real numbers:
|x| = √(x²)
So:
√(x²) = b
Where b<0
x will be always positive, because every number squared is positive
So, the left hand side of the equation will be positive. And since the right hand side of the equation will be always negative, because they tell us that b<0, we can conclude that it is absurd:
√(x²) ≠ b
Therefore, no solutions exist
The answer is Zero
If 6x=30, then x=5. If x=5, then 2x=10. Make a conclusion using the law of syllogism
Given:
[tex]\begin{gathered} \text{If 6x=30 then x=5} \\ \text{If x=5 then 2x=10} \end{gathered}[/tex]The law of syllogism states that,
[tex]\text{ If a=}b\text{ and b=c then a=c}[/tex]For the given data,
[tex]\begin{gathered} a\colon\text{ 6x=30} \\ b\colon x=5 \\ c\colon2x=10 \\ By\text{ the law of syllogism,} \\ 6x=30 \\ 3\cdot2x=3\cdot10 \\ \Rightarrow2x=10 \\ Therefore, \\ \text{If 6x=30 then 2x=10} \end{gathered}[/tex]i need help with this question parts 3 - 7
Explanation
Question 3 wants us to determine the range of the function
The range will be
[tex](-\infty,1]\text{ U \lparen2,}\infty)[/tex]This is
∞
Can y’all help me plssss
(a) Solve the inequality: n > 12
(b) The greatest amount of trips that Edwin can take up the mountain and still pay less than Rhea would be 63
What is Inequality?
Inequality of wealth in major cities Economic inequality comes in many forms, but two stand out above the rest: wealth inequality as measured by the distribution of wealth and income inequality as measured by the distribution of income.
Edwin and Rhea, two siblings, decide on distinct payment arrangements even though they are both going skiing.
In Edwin's proposal, rentals cost $45 and each lift up the mountain costs $5.25.
Rhea had an arrangement whereby her whole day would cost $108.
An inequaity that simulates the n trips up the mountain that Edwin will pay for out of pocket and Rhea won't.
45 + 5.25n > 108
45 is deducted from both sides.
-45 + 45 + 5.25n > 108 -45
5.25n > 63
5.25 times both sides.
n > 12
Also,
5.25 x 12
= 63
The most trips Edwin could make up the mountain and still make less money than Rhea is 63.
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write a system of equations that could be used to determine the number of tacos sold in the number of burritos sold. Define the variables that can you can use to write the system
Let x = number of burritos sold
Let y = number of tacos sold.
System of equations.
x = 2y (Twice as many burritos sold as there were tacos sold) (Equation 1)
7.5*x + 3.75*y = 750 (Total balance) (Equation 2)
Solve a+5/6 =4 solve for a
Answer:
Step-by-step explanation:
solve using basic algebra
a+5/6= 4
a= 4-5/6
considering lcm of denominator
a= 24-5/6
=19/6
value of a is 19/6
hope this helps !!
Answer: I think the answer is 3.17
Step-by-step explanation:
a + 5/6 = 4
a + 0.83 = 4 (divide 5 by 6 to get 0.8333... and round to the nearest hundredth)
a + 0.83 - 0.83 = 4 - 0.83
a = 3.17
Hope this helps, brainliest if you get it right with 3.17 :)
9 4/5÷3 1/2= i need help with it
Answer:
Step-by-step explanation:
2.8
Answer: 2.8
Step-by-step explanation: It's basic
ƒ (4) = -8, ƒ (-3) = 1
write a linear function
f(4) = -8 is another way of saying the point is (4 , -8)
f(-3) = 1 is another way of saying the point is (-3 , 1)
to get the equation of any straight line, we simply need two points off of it, so let's use those two provided
[tex](\stackrel{x_1}{4}~,~\stackrel{y_1}{-8})\qquad (\stackrel{x_2}{-3}~,~\stackrel{y_2}{1}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{1}-\stackrel{y1}{(-8)}}}{\underset{run} {\underset{x_2}{-3}-\underset{x_1}{4}}} \implies \cfrac{1 +8}{-7} \implies \cfrac{ 9 }{ -7 } \implies - \cfrac{9 }{ 7 }[/tex]
[tex]\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-8)}=\stackrel{m}{- \cfrac{9 }{ 7 }}(x-\stackrel{x_1}{4}) \implies y +8 = - \cfrac{9 }{ 7 } ( x -4) \\\\\\ y+8=- \cfrac{9 }{ 7 }x+\cfrac{36}{7}\implies y=- \cfrac{9 }{ 7 }x+\cfrac{36}{7}-8\implies {\Large \begin{array}{llll} y=- \cfrac{9 }{ 7 }x-\cfrac{20}{7} \end{array}}[/tex]
Amber had of a book of postage stamps. She used of the book of postagestamps.Which fraction of the book of postage stamps does Amber have now?一01-161616
We were told that Amber had 5/6 of a book of postage stamps. If she used 2/6 of the book of postage stamp, then the fraction of the book of postage stamp that she has left is
5/6 - 2/6
= 3/6
She has 3/6 now
Which set of ordered pairs does not represent a function?
O {(-6, -1), (-4, 6), (-8, 2), (3, -1)}
O {(7,4), (9,-8), (-5, -7), (-2,4)}
O {(-3,-3), (4, 5), (8,9), (0,5)}
O {(-1,8), (8,-4), (8, 3), (-5, -6)}
▸
Set of ordered pairs does not represent a function i
= {(2, 2), (0, -8), (2, 7), (-3, 8)}
What is a function?A function relates an input to an output. A function is generally denoted by f(x) where x is the input.
What is a set?
Any collection of objects , which are mathematical or not
Ordered pair are a composition of the x coordinate (abscissa) and the y coordinate (ordinate), having two values written in a fixed order within parentheses.
From question given data is
{(4, 6), (9, -2), (3, -5), (6, 6)}
{(−1,−2),(−4,9),(8,−9),(1,2)}
{(-1, 9), (-7, 8), (3, -1), (4, -1)}
{(2, 2), (0, -8), (2, 7), (-3, 8)}
From the above options we can see that last option has same number in the x axis coordinate. Thus it does not represents a function.
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D - Add, Subtract, Multiply, and Divide Integer A submarine Is at a depth of 350 feet below sea level. It makes the following moves. • First, it goes down 150 feet. • Next, it goes up 132 feet. • Then, it goes down 179 feet. • Finally, it goes down 145 feet. Which statement describes its current depth? A It is 692 feet below sea level, because -350 + (-150) + 132 + (-179) + (-145) = -692. B It is 8 feet below sea level, because 350 + (-150) + 132 + (-179) + (-145) = 8. c It is 256 feet below sea level, because 350 + (-150) +..(-132) + (-179) + (-145) = -256. D It is 342 feet below sea level, because 150 132 179 145 = 342. AI B ci D
We have the next information
A submarine Is at a depth of 350 feet below sea level means -350
First, it goes down 150 feet. means -150
Next, it goes up 132 feet. means +132
Then, it goes down 179 feet. means -179
Finally, it goes down 145 feet means -145
then we have the next operations
-350+(-150)+132+(-179)+(-145)=-692
The sing minus means that It is below the sea level
therefore the correct choice is
A It is 692 feet below sea level, because -350 + (-150) + 132 + (-179) + (-145) = -692.
Question #6 Which scenario represents a unit rate of $2? A A 6-pack of hair bows costs $6. How much does 1 hair bow cost? B A 12-pound bag of cat food costs $24. How much does 1 pound of cat food cost? C A 24-pack of water bottles costs $12. How much does 1 water bottle cost? A 42-pound bag of fertilizer costs $21. How much does 1 pound of fertilizer cost ?
We will have that the $12 rate is given by:
B. A 12-pound bag of cat food cost $24, that is:
$24/12 = $2 per pound of food.
What operation do they use? Whats the total amount they collected.
What operation is used. Is a multiplicarion between irrational numbers.
What is the amount collected
It must be multiplied 15.5 x 3.98
Replace 15.5 = 15+ 0.5
3.98 = 4-0.02
then 15x 4 + 0.5x4 - 15x(0.02) - 0.5x(0.02)
Then result 60 + 2 - 0.30 - 0.01
62 - 0.31 = 61.69
Help
Which statement is true?
Answer:
This table does not show a probability distribution because probabilities cannot be negative, and they cannot be greater than 1.