Note: Consider the given equation is [tex]2(a+b)=8.1[/tex] instated of [tex]2(a+b)-8.1[/tex].
Given:
The expression [tex]2(a+b)=8.1[/tex] for certain values of a and b.
To find:
The value of [tex]3(a+b)[/tex] for the same value of a and b.
Solution:
We have,
[tex]2(a+b)=8.1[/tex]
Divide both sides by 2.
[tex](a+b)=\dfrac{8.1}{2}[/tex]
[tex](a+b)=4.05[/tex]
Multiply both sides by 3.
[tex]3(a+b)=3\times 4.05[/tex]
[tex]3(a+b)=12.15[/tex]
Therefore, the value of [tex]3(a+b)[/tex] is 12.15.
In how many ways the word CHAMPION can be arranged without repetition of there are no conditions?
149 (give brainliest for all of the words)
(05.06 LC)The net of an isosceles triangular prism is shown. What is the surface area, in square units, of the triangular prism?
Three rectangles are shown, one below the other. The middle rectangle has a width of 6 units, and, along each width, is a triangle with a height of 4 units. The length of the lowermost rectangle is 8 units and its width is 5 units.
104 units²
132 units²
152 units²
168 units²
Answer:
C. 152 units²Step-by-step explanation:
Total surface area is the area of the net.
The rectangles have area:
8*(5 + 6 + 5) = 128 units²The triangles have area:
2*(1/2*6*4) = 24 units²Total area is:
128 + 24 = 152 units²Correct choice is C
Answer:
C. 152 square units
Step-by-step explanation:
I'll do the rectangles first because they are the easiest.
8(5)=40. There are 2 of those rectangles, so multiply by 2: 80.
6(8)=48. Add that to 80, you get 128.
The two triangles actually make a rectangle, so to save work, just multiply the base by the height: 6(4). You get 24.
Add them all up, and you get 152.
Hope this helps!
HELP PLEASE 50 points !!! Given a polynomial function describe the effects on the Y intercept, region where the graph is increasing and decreasing in the end behavior when the following changes are made make sure to account for even and odd functions
When f(x) becomes -f(x)+ 2
When f(x) becomes f(x+3)
Even function:
A function is said to be even if its graph is symmetric with respect to the , that is:
Odd function:
A function is said to be odd if its graph is symmetric with respect to the origin, that is:
So let's analyze each question for each type of functions using examples of polynomial functions. Thus:
FOR EVEN FUNCTIONS:
1. When becomes
1.1 Effects on the y-intercept
We need to find out the effects on the y-intercept when shifting the function into:
We know that the graph intersects the y-axis when , therefore:
So:
So the y-intercept of is one unit less than the y-intercept of
1.2. Effects on the regions where the graph is increasing and decreasing
Given that you are shifting the graph downward on the y-axis, there is no any effect on the intervals of the domain. The function increases and decreases in the same intervals of
1.3 The end behavior when the following changes are made.
The function is shifted one unit downward, so each point of has the same x-coordinate but the output is one unit less than the output of . Thus, each point will be sketched as:
FOR ODD FUNCTIONS:
2. When becomes
2.1 Effects on the y-intercept
In this case happens the same as in the previous case. The new y-intercept is one unit less. So the graph is shifted one unit downward again.
An example is shown in Figure 1. The graph in blue is the function:
and the function in red is:
So you can see that:
2.2. Effects on the regions where the graph is increasing and decreasing
The effects are the same just as in the previous case. So the new function increases and decreases in the same intervals of
In Figure 1 you can see that both functions increase at:
and decrease at:
2.3 The end behavior when the following changes are made.
It happens the same, the output is one unit less than the output of . So, you can write the points just as they were written before.
So you can realize this concept by taking a point with the same x-coordinate of both graphs in Figure 1.
FOR EVEN FUNCTIONS:
3. When becomes
3.1 Effects on the y-intercept
We need to find out the effects on the y-intercept when shifting the function into:
As we know, the graph intersects the y-axis when , therefore:
And:
So the new y-intercept is the negative of the previous intercept shifted one unit upward.
3.2. Effects on the regions where the graph is increasing and decreasing
In the intervals when the function increases, the function decreases. On the other hand, in the intervals when the function decreases, the function increases.
3.3 The end behavior when the following changes are made.
Each point of the function has the same x-coordinate just as the function and the y-coordinate is the negative of the previous coordinate shifted one unit upward, that is:
FOR ODD FUNCTIONS:
4. When becomes
4.1 Effects on the y-intercept
In this case happens the same as in the previous case. The new y-intercept is the negative of the previous intercept shifted one unit upward.
4.2. Effects on the regions where the graph is increasing and decreasing
In this case it happens the same. So in the intervals when the function increases, the function decreases. On the other hand, in the intervals when the function decreases, the function increases.
4.3 The end behavior when the following changes are made.
Similarly, each point of the function has the same x-coordinate just as the function and the y-coordinate is the negative of the previous coordinate shifted one unit upward.
can someone help please ? i’ve completed a and got (x-3)(x+1) but cant figure out b. thank u :)
Answer:
the answer is probably complicated but this is POSSIBLY similar to your problem
Step-by-step explanation:
x^2 - 1x - 3x + 3
x^2 - 4x + 3
Can any one help me with all these 3 questions? Thank you if you helped :)
Answer: Answer already been answered credits to that person give that person brainliest
Step-by-step explanation:
If you cut 20 lemons by half and then cut half of these halves by half, how many lemon parts will you have?
Answer: 40
Step-by-step explanation:
If you cut 20 lemons by half and then cut half of these halves by half, then 80 lemon parts we have
What is Division?A division is a process of splitting a specific amount into equal parts.
Given that 20 lemons are cut by half.
cut half of these halves by half.
We need to find how many lemon parts will you have.
Let us consider a lemon whic is 1
Now let us make it half 1/1/2=2
Now each part is divided to half =2/(1/2)=4
So for one lemon it has 4 parts.
Now let us find for 20 lemons.
Multiply 20 with 4
20×4
80 parts
Hence, If you cut 20 lemons by half and then cut half of these halves by half, then 80 lemon parts will you have
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Can someone help me with this math homework please!
Answer:
well I'm not gonna explain it but
#1 is C or the 3rd one (DOMIAN)
#2 is B or the second one (RANGE)
Answer:
DOMAIN OF THE FUNCTION :-
all real numbers
RANGE :-
all real numbers greater than or equal to - 2
as we the graph's vertex is at -2 so basically -2 is the lowest value of the function.
There are 24 students in a class. Three new students join the class. Work out the percentage change in the number of students in the class.
Answer:
12.5% increase
Step-by-step explanation:
To find the percentage increase ( students joined)
Take the new number minus the original amount
There are 27 students in the class after 3 joined
27 - 24 = 3
Divide by the original amount
3/24 = 1/8 = .125 = 12.5%
Answer:
12.5%
Step-by-step explanation:
Intial number = 27
Final number = 24 + 3 = 27
Percentage change :-
% change = 3/24 × 100 % change = 100/8 % Change = 25/2 % change = 12.5 %One number is 9 times another. Their product is 27 times their sum. Find the numbers.
the answer is not 3 btw
Answer:
270 & 30
Step-by-step explanation:
let the number is n,
the equation :
n× 1/9 n= 27(n +1/9 n)
1/9 n² = 27n + 3n
1/9 n² = 30n
1/9n²- 30n = 0
n(1/9n -30)= 0
n = 0 or
1/9n = 30 => n = 30×9 = 270
270 is a number,
the other : 270/9 = 30
There are 15 chairs arranged in a row, in an auditorium. The distance between adjacent chairs is ¼ of a meter. Find the distance between the first and the last chair in the same row.
Answer:
ok so there is 1/4 of a meter between 15 chairs so
1/4*5= 1.25
so there is 1 and a quarter meter between the first and the last
Hope This Helps!!!
__1. What is the other term for Q3?
2. What measure of position is divided into four equal parts?
3. How many equal parts is the quartile divided into?
4. How many percentile is equivalent to Q1?
5. What is the other term for Median?
_6. What is the equivalence of D2 to Percentile?
7. What measure of position is divided into 10 equal parts?
_8. What measure of position is divided into 100 equal parts?
9. What is the decile equivalence of P80?
10. What quartile is equivalent to P75?
Answer:
1. The third quartile
2. The quartile
3. Four
4. 25
5. The second quartile, Q₂
6. 20th percentile
7. Decile
8. Percentile
9. D₈
10. The third quartile, Q₃
Step-by-step explanation:
1. The other term(s) for Q₃ is third quartile (or upper quartile). It is the mid point between the distribution's largest number and the median
2. The measure of position divided into four equal parts is the quartile
3. The quartile is the division of the data at three points (Q₁, Q₂, and Q₃) into four equal parts equal parts
4. Q₁, which is the first quartile is equivalent to the 25th percentile
5. The other term for the median is the second quartile, Q₂
6. D₂ which is the second decile (a decile divides the data into 10 equal parts) is equivalent to 20th percentile
7. The decile, D, divides a given data into 10 equal parts
8. The percentile divides a given data into 100 equal parts
9. The decile equivalent to P80, which is the 80th percentile, is D₈
10. The quartile equivalent to P75, which is the 75th percentile or the three quarter mark point of the data is equivalent to the the third quartile, Q₃
Write an
equivalent expression by distributing the "_" sign outside the parentheses:
-(2h + 9.6k) + 1
Answer:
On distributing the - sign outside the parenthesis we get,
-2h - 9.6k + 1
number of ways you can wear 10 outfits to school each day in a 5 day week
Answer:
1 day=10outfits
5days=10outfits×5
=50outfits
Step-by-step explanation:
hope this is helpful
Based on the calculation, you can wear the 10 outfits in 50 different ways throughout the week.
How to calculate the number of waysTo calculate the number of ways you can wear 10 outfits to school each day in a 5-day week, you need to consider the total number of outfits across all days. Since there are 10 outfits and 5 days, the total number of outfit combinations can be calculated by multiplying the number of outfits per day by the number of days:
10 outfits/day × 5 days = 50 outfit combinations
Therefore, you can wear the 10 outfits in 50 different ways throughout the week.
Learn more about permutations
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Factorize (a+b)²-4ab
Answer:
(a - b)²
Step-by-step explanation:
(a + b)² - 4ab
= a² + 2ab + b² - 4ab
= a² - 2ab + b²
= (a - b)²
PLEASE HELP ASAP!!!!
Use the graph of ƒ to find x if ƒ(x) = 2.
x = –0.5
x = –8
(–∞, –0.5)
x = 0.5
Answer:
[tex]{ \tt{f(x) = 2}} \\ when \: y = 2 \\ { \bf{x = - 0.5}}[/tex]
Find the value of y...........
Answer:
y=0
Step-by-step explanation:
9514 1404 393
Answer:
y = 0
Step-by-step explanation:
Factor out 3^y:
3^(2y-1) +2(3^(y-1)) = 1 . . . . . . given
(3^y)^2(3^-1) +2(3^y)(3^-1) = 1 . . . . factor out 3^y
(3^y)^2 +2(3^y) -3 = 0 . . . . . . . . . . subtract 1, multiply by 3
Let x = 3^y. Substituting, we have ...
x^2 +2x -3 = 0
(x -1)(x +3) = 0
x = 1 or x = -3 . . . . . values of x that satisfy this equation
Then the corresponding values of y are ...
x = 3^y . . . . . . . . . . . . relation of x and y
log(x) = y·log(3) . . . . . take logs to solve for y
y = log(x)/log(3) . . . . . divide by the coefficient of y
For x = 1, this is y = log(1)/log(3) = 0
For x = -3, this is y = log(-3)/log(3) . . . . no real solutions
The only real solution is y = 0.
_____
The attachment shows the solution of f(x) = 0, where ...
[tex]f(x)=3^{2x-1}+2\times3^{x-1}-1[/tex]
That solution is x=0. This means the (real) solution to the given equation is y=0.
Find the Value of x.
Answer:
x = 91
Step-by-step explanation:
Opposite angles of an inscribed quadrilateral are supplementary.
x + 89 = 180
x = 91
Determine the measure of <0
20.21°
0.005
73.74°
16.26°
Answer:
16.26°
Step-by-step explanation:
1. tanΘ= 7/24
2.[tex]tan^-1(\frac{7}{24} ) =[/tex]Θ
3. Θ = 16.26°
Determine the equations of the straight lines
passing through the following pairs of points.
1)(2,-2) and (3, 4)
2)(-3, -2) and (1,2)
3)(4,6) and (5,2)
4)(5,8) and (7, 1)
Answer:
1). 6x - 14 2). y = 1x + 1 3). y = -4x + 22 4).y = -7/2x + 51/2
Step-by-step explanation:
1). y2 - y1 / x2 - x1 4 - (-2) / 3-2 = 6
y = 6x + b 4 = 6(3) + b 4 = 18 + b -14 = b
y = 6x - 14
2). 2 - (-2) / 1 - (-3) = 1
y = 1x + b 2 = 1(1) + b 2 = 1 + b 1 = b
y = 1x + 1
3). 2 - 6 / 5 - 4 = -4
y = -4x + b 6 = -4(4) + b 6 = -16 + b 22 = b
y = -4x + 22
4). 1 - 8 / 7 - 5 = -7/2
y = -7/2x + 51/2
help me if tou don't then no brainlist for you
Answer:
Equal to 1,204-299
Step-by-step explanation:
Anything divided by 1 is equal to itself.
Can someone help me with this math homework please!
Therefore, f(c) = 3c+5
OPTION B is the correct answer
Answer:
(B) f(c) = 3c + 5
Step-by-step explanation:
Since variable "c" is the independent variable, that means in terms of y = mx + b, c would be the variable "x".
So that means to rewrite 6c = 2p - 10, you would solve for p, because p would equal y in the formula.
Use basic algebra to solve for p:
6c = 2p - 10
6c + 10 = 2p
3c + 5 = p
p = 3c + 5 or f(c) = 3c + 5
Hope it helps (●'◡'●)
product of -2/3 and 5 2/4?
Answer: [tex]-\frac{11}{3}[/tex]
Step-by-step explanation:
[tex]-\frac{2}{3} *5\frac{2}{4} \\\\\\=-\frac{2}{3} *5\frac{1}{2} (5\frac{1}{2} =\frac{5*2}{2} +\frac{1}{2} =\frac{10+1}{2} =\frac{11}{2})\\\\\\=-\frac{2}{3} *\frac{11}{2} =-\frac{11}{3}[/tex]
Question 7 of 10 What is the slope of the line shown below? A. 2 B.-2 C.4 D.-4
Answer:
C. 4
Step-by-step explanation:
Use the slope formula y2-y1 / x2-x1
6+2/3-1
8/2
4
So, the answer is C. 4.
Find the domain and range for each of the relations described by the sets of
ordered pairs below.
4. (-1, 2), (2, 51), (1,3), (8, 22), (9,51)
Domain:
Range:
Answers:
Domain = {-1, 2, 1, 8, 9}
Range = {2, 51, 3, 22}
==================================
Explanation:
The domain is the set of allowed inputs of a function. So it's the set of possible x values. We simply list the x coordinates of each point to form the domain.
The range is the set of possible y values or y outputs. So we simply list the y coordinates of the points. We toss out any duplicates. Since order doesn't matter in a set, we can have the values listed any way we want.
Side notes:
This is a function since we don't have any repeated x values between any of the points. This graph passes the vertical line test.This function is not one-to-one because we have y = 51 correspond to multiple x values (x = 2 and x = 9 simultaneously). This graph fails the horizontal line test.will give BRAINLIEST ! plz help
Triangle ABC has A (-3, 6), B (2, 1), and C (9, 5) at its vertices.
The length of side AB is
A. (50)^1/2
B. (65)^1/2
C. (105)^1/2
D. (145)^1/2
units.
The length of side BC is
(one of the above options)
units.
The length of side AC is
(one of the above options)
units.
A. 55.21
B. 85.16
C. 105.26
D. 114.11
Answer:
AB= A. (50)^1/2
BC= B. (65)^1/2
AC= D. (145)^1/2
<ABC≈ 105
100 students are interviewed to see which of biology, chemistry or physics they prefer. 42 of the students are girls. 5 of the girls like biology best. 4 of the boys prefer physics. 13 out of the 21 who prefer chemistry are girls. What percentage of the students prefer biology?
Answer:
A total of 51 people prefer biology, 51%
Step-by-step explanation:
Girls: 42
Boys: 58
Biology: 5 girls and 46 boys(100-42=58, 58-[4+8]=46)
Physics: 4 boys and 24 girls(42-[5+13])
Chemistry: 13 girls and 8 boys(21-13=8)
I think this is the answer...
I had block the instructions but basically it said State what additional information is required in order to know that the triangles in the image below are congruent for the reason given.
Answer:
Segment XY congruent to Segment IJ is required.
Step-by-step explanation:
It's asking for Side-Angle-Side postulate and you already have a side and an angle. WX=HI and <x=<I. Order matters, so the angle should be directly between the first set of segments and the second.
find the discriminantof the quadratic equation root 2 X square + 7 x + 5 root 2
[tex]\displaystyle\ 2x^2+7x+5\sqrt{2} =0 \\\\\boxed{D=7^2-4\cdot2\cdot 5\sqrt{2} =49-40\sqrt{2} }[/tex]
hello can you help me with this?
Answer:
x = 25.5
Step-by-step explanation:
suppose RS and MQ are parallel the sum of angle MRS and RMN would be 180 degrees
2x + x + x 78 = 180 add like terms then subtract 78 from both sides
4x = 102 divide both sides by 4
x = 25.5
An angle measures 42.2° less than the measure of its complementary angle. What is the measure of each angle?
Answer:
x + (x-42.2) = 90
2x - 42.2 = 90
add 42.2 to both sides
2x = 132.2
divide each side by 2
x = 66.1
find the measure of the other angle
66.1 - 42.2 = 23.9
Step-by-step explanation:
Answer:
66.1° and 23.9°
Step-by-step explanation:
Complementary angles are angles that sum up to 90°
So equation : x + x - 42.2 = 90
2x - 42.2 = 90
2x = 132.2
x = 66.1
66.1° is the "other complementary angle"
This angle is 66.1 - 42.2 = 23.9°
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K