Answer:
a =10% b=50% c=20% d=20%
Step-by-step explanation:
n(CuT)=n(C)+n(T)-n(CnT)
so n(CnT)=10%
for b
tea but not coffee =nonly(T)
=n(T)-n(TnC)
=50%
for c
only coffee=nonly(C)
=n(C)-n(CnT)
=20%
Find X. Please help.
Answer:
22.62°
Step-by-step explanation:
tan x = 5/12
tan x = 0.416666667
x = arctan(0.416666667)
x = 22.61986983
x = 22.62°
Use Stokes' Theorem to calculate the circulation of the field F around the curve C in the indicated direction. F = 3yi + yj+zk
C: counterclockwise path around the boundary of the ellipse x2/4+y2/64=1
Answer:
[tex]\int \int \bigtriangledown F\ X\ dS = \int F\cdot dr[/tex] = 12π
Step-by-step explanation:
The field F is given by:
[tex]F = 3y\hat{i} + y\hat{j}+z\hat{k}[/tex] (1)
The curve C is the ellipse:
[tex]\frac{x^2}{4}+\frac{y^2}{64}=1\\\\(\frac{x}{2})^2+(\frac{y}{8})^2=1[/tex]
In order to calculate the circulation of F around the curve C, you first find the parametric equation for the given ellipse.
The general form of an ellipse equation is:
[tex](\frac{x}{a})^2+(\frac{y}{b})^2=1[/tex]
The parametric equation is:
[tex]r(t)=acost \hat{i} + bsint\hat{j}=2cost\hat{i}+8sint\hat{j}[/tex] (2)
The Stokes's theorem is given by the following identity:
[tex]\int \int \bigtriangledown F\ X\ dS = \int F\cdot dr[/tex]
The path integral is also:
[tex]\int F\cdot dr=\int F(r(t))\cdot dr(t)[/tex] (3)
For F(r(t)) and dr(t) you obtain:
[tex]F(r(t))=3(8sint)\hat{j}+(8sint)\hat{j}+(z)\hat{k}\\\\dr(t)=(-2sint\hat{i}+8cost\hat{j}+0\hat{k})dt\\\\F(r(t))\cdot dr(t)=(-48sin^2t+64cos^2t)dt[/tex]
Next, in the equation (3) you obtain:
[tex]\int_0^{2\pi} (-48sin^2t+64cos^2t)dt=\int_0^{2\pi}(-\frac{48}{2}(1-cos2t)+\frac{64}{2}(1+cos2t))dt\\\\=\int_0^{2\pi}(-24+24cos2t+32+32cos2t)dt\\\\=\int_0^{2\pi}(6+56cos2t)dt\\\\=[6t+56sin2t]_0^{2\pi}=[6(2\pi)-0]=12\pi[/tex]
The circulation of the field around C is 12π
Suppose you do an experiment where you roll a standard die twice. You decide to keep performing this experiment unless you get a sum of the rolls to be exactly 6. How many times do you feel you have to do this experiment on an average?
Answer:
7.2 times
Step-by-step explanation:
There are 36 possible outcomes when rolling a die twice and adding the results. The outcomes for which the sum is 6 are:
Sum = 6: {1,5; 2,4; 3,3; 4,2; 5,1}
Therefore there is a 5 in 36 chance that the sum will be 6.
The expected number of trials to achieve that result is given by:
[tex]E = \frac{36}{5}\\E=7.2\ times[/tex]
On average, it would take 7.2 trials to achieve a sum of 6.
|2x|=14
|3a|=9
|x–7|=12
|n+6|=1
|1–p|=3
|6–x|=5
|a+9|=2
|k–8|=8
|2m+1|=1
|7–2r|=5
I will vote brainliest to whoever solve this.
x = +7 or -7
a = +3 or -3
x = +19 or -5
n = -5 or -7
p = +4 or -2
x = +11 or +1
a = -11 or -7
k = +16 or 0
m = -1 or 0
r = +6 or +1
: Answer:
Step-by-step explanation:
|3a|=9
a=3
2- |x–7|=12
For the Negative case we'll use -(x-7)
For the Positive case we'll use (x-7)
Solve the Negative Case
-(x-7) = 12
Multiply
-x+7 = 12
rearrange and Add up
-x = 5
Multiply both sides by (-1)
x = -5 (for negative)
Solve the Positive Case
(x-7) = 12
x = 19
Which is the solution for the Positive Case
Wrap up the solution
x=-5 ,x=19
4- |n+6|=1
The Absolute Value term is |n+6|
For the Negative case we'll use -(n+6)
For the Positive case we'll use (n+6)
Solve the Negative Case
-(n+6) = 1
Multiply
-n-6 = 1
-n = 7
Multiply both sides by (-1)
n = -7
Which is the solution for the Negative Case
Solve the Positive Case
(n+6) = 1
n = -5
Which is the solution for the Positive Case
Wrap up the solution
n=-7
n=-5
5- |1–p|=3
The Absolute Value term is |-p+1|
For the Negative case we'll use -(-p+1)
For the Positive case we'll use (-p+1)
Solve the Negative Case
-(-p+1) = 3
Multiply
p-1 = 3
Rearrange and Add up
p = 4
Solve the Positive Case
(-p+1) = 3
Rearrange and Add up
-p = 2
Multiply both sides by (-1)
p = -2
Which is the solution for the Positive Case
Wrap up the solution
p=4 , p=-2
6 - |6–x|=5
The Absolute Value term is |-x+6|
For the Negative case we'll use -(-x+6)
For the Positive case we'll use (-x+6)
Solve the Negative Case
-(-x+6) = 5
Multiply
x-6 = 5
Rearrange and Add up
x = 11
Solve the Positive Case
(-x+6) = 5
Rearrange and Add up
-x = -1
Multiply both sides by (-1)
x = 1
Which is the solution for the Positive Case
Wrap up the solution
x=11 , x=1
7-
The Absolute Value term is |a+9|
For the Negative case we'll use -(a+9)
For the Positive case we'll use (a+9)
Solve the Negative Case
-(a+9) = 2
Multiply
-a-9 = 2
Rearrange and Add up
-a = 11
Multiply both sides by (-1)
a = -11
Which is the solution for the Negative Case
Solve the Positive Case
(a+9) = 2
Rearrange and Add up a = -7
Which is the solution for the Positive Case
Wrap up the solution
a=-11 a=-7
8- |k–8|=8
The Absolute Value term is |k-8|
For the Negative case we'll use -(k-8)
For the Positive case we'll use (k-8)
Solve the Negative Case
-(k-8) = 8
Multiply
-k+8 = 8
Rearrange and Add up
-k = 0
Multiply both sides by (-1)
k = 0
Which is the solution for the Negative Case
Solve the Positive Case
(k-8) = 8
Rearrange and Add up
k = 16
Which is the solution for the Positive Case
Wrap up the solution
k=0 k=16
Solutions on the Number Line
Two solutions were found :
k=16
k=0
9-|2m+1|=1
The Absolute Value term is |2m+1|
For the Negative case we'll use -(2m+1)
For the Positive case we'll use (2m+1)
Solve the Negative Case
-(2m+1) = 1
Multiply
-2m-1 = 1
Rearrange and Add up
-2m = 2
Divide both sides by 2
-m = 1
Multiply both sides by (-1)
m = -1
Which is the solution for the Negative Case
Solve the Positive Case
(2m+1) = 1
Rearrange and Add up
2m = 0
Divide both sides by 2
m = 0
Which is the solution for the Positive Case
Wrap up the solution
m=-1
m=0
Solutions on the Number Line
Two solutions were found :
m=0
m=-1
9- |7–2r|=5
The Absolute Value term is |-2r+7|
For the Negative case we'll use -(-2r+7)
Solve the Negative Case
-(-2r+7) = 5
Multiply
2r-7 = 5
Rearrange and Add up
2r = 12
Divide both sides by 2
r = 6
Solve the Positive Case
(-2r+7) = 5
Rearrange and Add up
-2r = -2
Divide both sides by 2
-r = -1
Multiply both sides by (-1)
r = 1
Which is the solution for the Positive Case
Wrap up the solution
r=6
r=1
15. In the State of California, there are 25 full-time employees to every 4 part-time employees. If there are 250,000 full-time employees, how many part-time employees are there statewide?
This question has several parts that must be completed sequentially. If you skip a part of the question, you will not receive any points for the skipped part, and you will not be able to come back to the skipped part.
Tutorial Exercise Find the indefinite integral.
a) dx3x 2 + 2
b) x3 + 2x
c) dx6x 5 + 5
d) x6 + 5x
Answer:
a.) dx3x² + 2
Use the properties of integrals
That's
integral 3x² + integral 2
= 3x^2+1/3 + 2x + c
= 3x³/3 + 2x + c
= x³ + 2x + C
where C is the constant of integration
b.) x³ + 2x
Use the properties of integrals
That's
integral x³ + integral 2x
= x^3+1/4 + 2x^1+1/2
= x⁴/4 + 2x²/2 + c
= x⁴/4 + x² + C
c.) dx6x 5 + 5
Use the properties of integrals
That's
integral 6x^5 + integral 5
= 6x^5+1/6 + 5x
= 6x^6/6 + 5x
= x^6 + 5x + C
d.) x^6 + 5x
integral x^6 + integral 5x
= x^6+1/7 + 5x^1+1/2
= x^7/7 + 5/2x² + C
Hope this helps
Want Brainliest? Get this correct Which of the following is the quotient of the rational expressions shown below?
Answer:
B. 3x+15 / 4x+10
Step-by-step explanation:
[tex]\frac{3x+}{2x+5}[/tex] X [tex]\frac{x+5}{2x}[/tex] -> multiply by the reciprocal
[tex]\frac{3x}{2x+5}[/tex] X [tex]\frac{x+5}{2x}[/tex] -> reduce the expression
[tex]\frac{3}{2x+5}[/tex] X [tex]\frac{x+5}{2}[/tex] -> multiply the fractions
[tex]\frac{3(x+5)}{2(2x+5)}[/tex] -> remove parenthesis
and you get:
[tex]\frac{3x+15}{4x+10}[/tex]
-Hope this helps :)
what is the remainder when x+ - 2x2 – 3x – 7 is divided by x + 2?
x+-2*2-3x-7
x+4-3x-7
x+1.x-7
x.x-7
2x-7
I'm having trouble finding the missing number. Please simplify the resulting fraction. Thank you in advance. : 0) 7/8 = ?/48
Answer:
42
Step-by-step explanation:
7/8 = x / 48
We need to get a common denominator
Multiply the left side by 6
7/8 *6/6 = x/48
42/48 = x/48
Since the denominators are equal, the numerators must be equal
42 =x
Answer:
42
Step-by-step explanation:
7/8=42/48
Cross products: 7(48)=8x
Describe the shape of the graph f(x)=x
Answer:
The shape of the graph of f(x)=x is that of a linear function.
Step-by-step explanation:
The graph f(x)=x is the parent function of the linear function. It is a positive function since it goes upward from left to right, and it passes through the point of (0,0). It also has a slope of 1, which is the slope of the parent function, or the graph of f(x)=x. Note once again: The parent linear function and the graph of f(x)=x are the exact same graph.
The shape of the graph of function f(x) = x is that of a linear function.
How to find the function which was used to make graph?There are many tools we can use to find the information of the relation which was used to form the graph. A graph contains data of which input maps to which output. Analysis of this leads to the relations which were used to make it.
The graph of a function f(x)=x is the parent function of the linear function.
This is a positive function since it goes upward from left to right, and it passes through the point of (0,0).
And also has a slope of 1, which is the slope of the parent function, or the graph of f(x)=x.
Hence, the parent linear function and the graph of f(x)=x are the exact same graph.
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Red beads cost $1 an ounce and gold beads cost $3
an ounce. Juanita wants to purchase a 12-ounce
mixture of red and gold beads that she can sell for $2
an ounce. The solution of the system shows the
number of beads needed for Juanita to break even.
x + y = 12
x + 3y = 24
How many ounces of red beads will Juanita buy to
break even?
How many ounces of gold beads will she buy?
Answer:
6 ounces of red beads
6 ounces of gold beads
Step-by-step explanation:
x + y = 12
x + 3y = 24
We can solve this with substitution or elimination. In this case, I would suggest elimination. Subtract the first equation from the second:
2y = 12
y = 6
Plug back into either equation to find x.
x = 6
Answer:
How many ounces of red beads will Juanita buy to break even?
6
How many ounces of gold beads will she buy?
6
Step-by-step explanation:
Because I got 100 percent on EDG 2020
Stuck on this one, help asap please
Answer:
Tan B = 24/10 = 12/5
Step-by-step explanation:
Tangent is opposite/adjacent. The side opposite of B is 24 and adjacent to that is 10.
Dominics two daughters both want to take gymnastics this year. It cost 90 per month per child. How much dose dominic need to budget for a year ( 12 months) of gymnastics for both daughters
Answer:
$2,160 is what he need for both daughters for 1 year
Step-by-step explanation:
90 x 2 = 180
180 x 12 = 2,160
Dominic need to budget a total of 2160 for a year of gymnastics for both daughters.
What is Multiplication?Multiplication is one of the basic mathematical operations which includes a number added repeatedly to times of the other number. The final answer is called the product of the numbers.
Multiplication is usually denoted as '×' sign.
a × b indicates that a is added repeatedly upto b times.
Cost for the gymnastics per month per child = 90
In order to find the cost per month for both daughters, we need to multiply 90 with 2.
Cost for the gymnastics per month for 2 daughters = 2 × 90 = 180
To find the total cost for an year, we need to multiply 180 with 12.
Total cost for the year = 180 × 12 = 2160
Hence the total budget for Dominic to send both the daughter in a year is 260.
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Geometry please help. What is the perimeter of XYZ
Answer:
39
Step-by-step explanation:
Angle AQC, AQB and BQC are 120deg. (360/3=120). Therefore, Angle BZC, CXA and AYB are 60deg. Because, angle BZC is half of angle BQC. same for the other three angles. As, all 3 angles are 60deg, it is an equilateral triangle. So, YZ is 13 therefore as all 3 sides are equal its 13*3=39.
The solution is: 39 is the perimeter of XYZ.
What is an angle?In Plane Geometry, a figure which is formed by two rays or lines that shares a common endpoint is called an angle. The two rays are called the sides of an angle, and the common endpoint is called the vertex.
Here, we have,
Angle AQC, AQB and BQC are 120deg.
(360/3=120).
Therefore, Angle BZC, CXA and AYB are 60deg.
Because, angle BZC is half of angle BQC.
same for the other three angles.
As, all 3 angles are 60deg, it is an equilateral triangle.
So, YZ is 13
therefore as all 3 sides are equal
its 13*3=39.
Hence, 39 is the perimeter of XYZ.
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One angle of a right triangle measures 33 degrees. what is the other small angle
Answer: 57 degrees
Step-by-step explanation: We can use our knowledge of knowing the sum of the interior angles of a triangle to be 180 degrees, to find the measure of the angle. So we can do 90 degrees plus 33 degrees, and then subtract the sum from 180 to find the measure of the angle. So we get 123 degrees when we add up 90 and 33 and when we subtract 123 degrees from 180 we get, 57 degrees as the answer.
Answer:
57 degrees
Step-by-step explanation:
We can use our knowledge of knowing the sum of the interior angles of a triangle to be 180 degrees, to find the measure of the angle. So we can do 90 degrees plus 33 degrees, and then subtract the sum from 180 to find the measure of the angle. So we get 123 degrees when we add up 90 and 33 and when we subtract 123 degrees from 180 we get, 57 degrees as the answer.
What is the slope of a line perpendicular to y=-7X?
O A.
4
B.
IN
N
O c.
4
O D.
PLZZZ HELP
Answer:
1/7
Step-by-step explanation:
y=-7X
The slope of this line is -7
Perpendicular lines have slopes that multiply to -1
-7 * m = -1
Divide each side by -7
m = -1 / -7
m = 1/7
The slope of the perpendicular line is 1/7
Answer:
1/7
Step-by-step explanation:
Perpendicular slope can be calculated by take the opposite/negative reciprocal of the given slope. This means multiply the given slope by -1 (so if it is negative it becomes positive and if it is positive then becomes negative) and then flip the numerator and denominator.
So -7 is the slope of the given equation (y = mx + b where is m is slope and b is the y-intercept).
to find perpendicular slope..
Step 1. Multiple -7 by -1 = 7
Step 2. Flip 7/1 to 1/7
Answer: 1/7 is perpendicular slope
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Answer:
The picture on the bottom right.
Step-by-step explanation:
There are eight compartments and seven of it is shaded and the other one five of the eight compartments are shaped.
I hope this helps :)
pls pls help me help me
It is D.
you must multiply the second equation by 3, so that the +3y in the first equation can cancel out the (now) -3y in the second equation.
Pediatricians prescribe 5ml of cough syrup for every 25lb of a child’s weight. How many milliliters of cough syrup will the doctor prescribe for Jocelyn, who weighs 45lb?
Answer:
x=9
Step-by-step explanation:
for this sort of a problem, I would set up a proportion
5/25=x/45
multiply both sides by 25 and 45
45*5=x*25
225=25x
x=9
How many meters make a centimeter
Answer:
There are 0.01 meters in a centimeter.
Step-by-step explanation:
cent means 100th
Hope this helps :)
Find the dimensions of a rectangle with perimeter 92 m whose area is as large as possible. (If both values are the same number, enter it into both blanks.) g
Answer:
The dimensions are x = 23 and y = 23
The maximum area of the rectangle A = 529
Step-by-step explanation:
Step(i):-
Let given function area of the rectangle
A = x y ....(i)
Given Perimeter of rectangle
2 ( x + y ) = 92
(x +y ) = 46
y = 46 - x ....(ii)
Substitute y = 46 - x in equation (i)
A = x (46 - x)
A = 46 x - x² ....(iii)
Differentiating equation (iii) with respective to 'x'
[tex]\frac{dA}{dx} = 46(1) - 2 x[/tex] ...(iv)
Step(ii):-
[tex]\frac{dA}{dx} = 46(1) - 2 x = 0[/tex]
46 - 2 x = 0
46 = 2 x
x = 23
Again Differentiating equation (iv) with respective to 'x'
[tex]\frac{d^{2} A}{dx^{2} } = - 2 (1) = -2 < 0[/tex]
The maximum value at x = 23
Step(iii):-
From(ii)
y = 46 - x
y = 46 - 23
y = 2 3
The dimensions are x = 23 and y = 23
Final answer :-
The dimensions are x = 23 and y = 23
The maximum area of the rectangle
A = x y
A = 23 ×23
A = 529
The maximum area of the rectangle = 529
The dimension of the rectangle with perimeter 92 m whose area is as large as possible is 23m by 23m
If the perimeter of a rectangle is 92m, hence;
2(x+y) = 92
x is the length
y is the width
x + y = 46 ....... 1
If the area is as large as possible, hence;
xy = maximum .........2
From equation 1, x = 46 - y
Substitute into the second equation
(46-y)y = P(y)
P(y) = 46y - y²
If the product is at the maximum, hence;
dP/dy = 46 - 2y = 0
46 - 2y = 0]
2y = 46
y = 23
Since x + y = 46
x = 46 - y
x = 46 - 23
x = 23
Hence the dimension of the rectangle with perimeter 92 m whose area is as large as possible is 23m by 23m
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Evaluate 9 x 8 = (10 x 8) - ( blank x 8) =80 - blank = blank
Answer:
see below
Step-by-step explanation:
9 x 8 = (10 x 8) - ( blank x 8) =80 - blank = blank
We are replacing 9 with 10 minus something
9 = 10 -1
9 x 8 = (10 x 8) - ( 1 x 8)
80 - 8
72
KARUNA OPENED A CANDY SHOP AND SELLS CHOCOLATE AND PEANUT
BUTTER FUDGE BY THE POUND. THE CHOCOLATE FUDGE COSTS $3.20 PER
POUND AND THE PEANUT BUTTER FUDGE COSTS $3.00 PER POUND. ON A
GIVEN DAY KARUNA'S CANDY SHOP SELLS 15.5 POUNDS OF FUDGE FOR A
GROSS PROFIT OF $48.50
A WRITE A SYSTEM OF EQUATIONS TO DESCRIBE THE SCENARIO WHERE C
REPRESENTS THE NUMBER OF POUNDS OF CHOCOLATE FUDGE SOLD,
AND P REPRESENTS THE NUMBER OF POUNDS OF PEANUT BUTTER
FUDGE SOLD
B. HOW MANY POUNDS OF PEANUT BUTTER FUDGE DID KARUNA'S CANDY
SHOP SELL?
Answer:
A. System of equations:
[tex]3.2C+3P=48.5\\C+P=15.5[/tex]
B. 5.5 pounds of peanut butter fudge were sold.
Step-by-step explanation:
Given:
Cost of chocolate fudge = $3.20
Cost of peanut butter fudge = $3.00
Total pounds sold = 15.5
Total gross profit = $48.50
C is the number of pounds of chocolate fudge sold.
P is the number of pounds of peanut butter fudge sold.
To find:
System of equations and number of pounds of peanut butter fudge sold = ?
Solution:
As per given conditions:
1. [tex]C+P=15.5[/tex]
Gross profit from Chocolate fudge: [tex]3.20 \times C[/tex]
Gross profit from Peanut Butter fudge: [tex]3.00 \times P[/tex]
Total gross profit = [tex]3.20C+3.00P = 48.50[/tex]
So, the system of equations is:
[tex]3.2C+3P=48.5\\C+P=15.5[/tex]
2. To find P.
Let us solve the equations.
Multiply 2nd equation with 3 and subtracting from 1st equation:
[tex]0.2C = 48.5- 3 \times 15.5\\\Rightarrow 0.2C = 48.5- 46.5\\\Rightarrow C = 10\ pounds[/tex]
Putting in 2nd equation:
[tex]10+P=15.5\\\Rightarrow P =5.5\ pounds[/tex]
So, the answer is:
5.5 pounds of peanut butter fudge were sold.
There are two consecutive integers such that the larger is nine more than twice the smaller. What is the larger number?
Answer:
[tex]\boxed{Larger \ Number = -7}[/tex]
Step-by-step explanation:
Let the consecutive numbers be x and x+1 (Since they are coming one after another)
So, Given Condition is:
x+1 = 9 + 2(x)
x+1 = 9 +2x
Subtracting -2x to both sides
x+1-2x = 9
-x+1 = 9
Subtracting 1 from both sides
-x = 9-1
-x = 8
=> x = -8
The larger number is:
=> x+1 = -8+1 = -7
if P degree,2P degree and 3p degree are the angles of a triangle find them
Answer:
p+2p+3p=180degree(sum of angle of triangle)
6p=180degree
p=180degree/6
p=30degree
here your answer and please support me
Answer:
30, 60, 90
Step-by-step explanation:
p+2p+3p= 180
6p= 180
p=30, 2p= 60, 3p= 90
What is the volume of a sphere, to the nearest cubic inch, if the radius is 7 inches? Use π = 3.14.
Answer:
[tex]V=\frac{4}{3}\pi r^{2}[/tex]
=[tex]\frac{4}{3}[/tex] x [tex]\pi[/tex] x [tex]7^3[/tex]
= 1436.755040
Volume = 1436.755040
Step-by-step explanation:
Answer:
1436.03 in³
Step-by-step explanation:
We can use the formula V = [tex]\frac{4}{3}[/tex][tex]\pi[/tex]r³
Plug in 7 for r:
V = [tex]\frac{4}{3}[/tex][tex]\pi[/tex](7)³
Plug in 3.14 for pi:
V = [tex]\frac{4}{3}[/tex](3.14)(343)
V = 1436.03 in³
A random sample of 11 students produced the following data, where x is the hours spent per month playing games, and y is the final exam score (out of a maximum of 50 points). The data are presented below in the table of values. x y 14 46 15 49 16 37 17 42 18 37 19 31 20 25 21 23 22 20 23 15 24 12 What is the equation of the regression line?
Answer:
y= -3.7x+100.94
Step-by-step explanation:
Generally this type of problems is solved by using a calculator or a spreadsheet. Now, getting the final equation depends on the model of calculator you are using, so I will suggest you look for the instructions on your calculator's instruction manual. I'll provide indications for using excel.
So first you need to input the table on an excel sheet. You can input them just the same way they were given to you. (See attached picture)
Once you inputed them, you can highlight them and go to the insert tab. There you can pick the scattering plot option. Once the scatterplot is graphed, you can right-click on the graph and a menu should appear. Pick the option add tendency line. Choose the line option and below, you can mark the option present equation on the graph and present the value of R. And that will be it! Excel will automatically provide you with the equation of the regression line you need.
Most scientific calculators nowaday can provide you with the equation, you just need to input the data and they will return the slope and y-intercept of the line.
There are other formulas you can use to find this regression by hand, but they are generally used in statistics courses.
Se x .y = 2 e x + y = 9, então x² + y² é :
a) 76
b) 167
c) 77
d) 169
e) 85
Classifique cada sentença em verdadeira ou falsa:
( ) ( a +b )² = a² + 2ab + b²
( ) ( a - b )² = a² - 2ab + b²
( ) ( a + b ) .( a – b) = a² + b²
( ) ( a +b)³ = a³ + 3a²b + 3ab² + b³
( ) ( a -b)³ = a³ - 3a²b + 3ab² - b³
Fatore cada polinômios de acordo com o caso:
a) m² - 14am + 49a² =
b) m2 – 9n² =
c) 30+ 5xy + 12a +2axy =
d) 8a²b + 10ab²
Answer:
1. A resposta é a opção C.
2. ( a +b )² = a² + 2ab + b² Verdade
( a - b )² = a² - 2ab + b² Verdade
( a + b ) .( a – b) = a² + b² Falso
( a +b)³ = a³ + 3a²b + 3ab² + b³ Verdade
( a -b)³ = a³ - 3a²b + 3ab² - b³ Verdade
3. a.) m² - 14am + 49a² = ( m - 7a)²
b) m2 – 9n² = m² - (3n)² = (m + 3n)(m - 3n)
c) 30+ 5xy + 12a +2axy = (6 + xy)(5 + 2a)
d) 8a²b + 10ab² = 2ab( 4a + 5b)
Espero que isso ajude você
The water was pumped out of a backyard pond. What is the domain of this graph?
17. Write the greatest and the smallest 4-digit numbers using four different digits
with the conditions as given:
( Digit 7 is always at units place.
Answer:
Greatest number = 9867
Smallest number = 1027
Step-by-step explanation:
Greatest number:
- - - 7
In order to form the greatest number, we should simply put the greatest available digit at the thousands place, the second greatest at the hundreds place and the third greatest at the tens place (which would be 9, 8, and 6 respectively).
9867
Smallest number:
- - - 7
In order to form the greatest number, we should simply put the lowest available digit at the thousands place (excluding zero since a number can't start with a zero), put zero at the hundreds place and the third lowest at the tens place (which would be 1, 0, and 2 respectively).
1027