Answer:
Width = 12 cm
Length = 14 cm
Step-by-step explanation:
Rectangle:
Let the width = x cm
So, the length = (x+2) cm
Perimeter = 52 cm
2 *(l+b) = 52
2 *(x+2 + x) = 52
2 * ( 2x + 2) = 52
2x + 2 = 52/ 2
2x + 2 = 26
2x = 26- 2
2x = 24
x = 24/2
x = 12
Width = 12 cm
Length = 14 cm
4a - b = 3, solve for a
Answer: your answer is
7a hope this helps you
Step-by-step explanation:
Answer:
[tex]a=\frac{3}{4} +\frac{b}{4}[/tex]
Step-by-step explanation:
4a - b = 3
+ b + b
4a = 3 + b
Divide 4 on both sides.
[tex]a=\frac{3}{4} +\frac{b}{4}[/tex]
N is less then 6 units from 0
What is the answer?
The answer would be negative 6 or -6.
Hope this helps!
The values for N can be any number between and including -6 and 6, because the phrase 'N is less than 6 units from 0' signifies absolute distance from zero on the number line.
Explanation:In mathematics, when we say 'N is less than 6 units from 0', we are referring to absolute distance from zero on the number line. That means, N could be any number that falls within the range of -6 to 6, inclusive. This is because the less than 6 units from zero is referring to both directions on the number line. For example, -4 is less than 6 units away from 0, also 5 is less than 6 units away from 0. Thus, the possible values for N are any numbers between and including -6 and 6.
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Sam is planning to start a pool cleaning business from his home, but has realized that he does not have enough money in savings or credit to pay for the set-up costs and first year of operation. Which of the following would not be a good way for Sam to get the money to start his business?
Answer:
Save $50 from his paycheck a week
Step-by-step explanation:
there's no following so I'll just write it
answer: steals money
sells everything to get money
Lies about being poor
scams people
demands people give him/her money
f(x)=-2x+1; {-2,0,2,4,6} Find the range of the function for the given domain.
Answer:
For the domain indicated, the range is {-11, -7, -3, 1, 5}
Step-by-step explanation:
Given the indicated domain of f(x) you have to replace the values in the function to find the range (the "y" values of the function).
f(-2) = 5
f(0) = 1
f(2) = -3
f(4) = -7
f(6) = -11.
So the range for this domain is {-11, -7, -3, 1, 5}
Hence, the range for this domain is [tex](5,1,-3,-7,-11)[/tex].
What is the function?
A function is a binary relation between two sets that associates every element of the first set to exactly one element of the second set.
Here given function is [tex]f(x)=2x+1;(-2,0,2,4,6)[/tex].
So,
[tex]f(-2) =- 2(-2)+1\\\\=4+1\\\\=5\\\\f(0) = -2(0)+1\\\\=1\\\\f(2) =-2(2)+1\\\\ =-4+1\\\\=-3\\\\f(4) =-2(4)+1\\\\ =-8+1\\\\=-7\\\\f(6) = -2(6)+1\\\\=-12+1\\\\=-11.\\[/tex]
Hence, the range for this domain is [tex](5,1,-3,-7,-11)[/tex].
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HELP ASAP ILL GIVE YOU BRAINLEST
Answer:
f(x) = x² + 2x - 3
Step-by-step explanation:
From the graph the zeros are x = - 3 and x = 1
Thus the factors are (x + 3) and (x - 1) and
f(x) = (x + 3)(x - 1) ← distribute using FOIL
= x² - x + 3x - 3
= x² + 2x - 3
The points -4 and 5 are plotted on a number line. What is the distance, in units, between the two points?
The distance between two numbers is the absolute value of their difference.
Note that the order doesn't matter, since the distance between A and B is the same as the distance between B and A, obviously:
[tex]d=|-4-5|=|-9|=9[/tex]
[tex]d=|5-(-4)|=|5+4|=|9|=9[/tex]
So, the two points are 9 units away.
The distance between the points -4 and 5 on a number line is 9 units, determined by subtracting -4 from 5 according to the rules of addition and subtraction of integers.
Explanation:The question is asking for the distance between the points -4 and 5 on the number line. In mathematics, to calculate the distance between two points on a number line, we subtract the smaller number from the larger one. In this case, 5 is larger than -4, so we subtract -4 from 5. This involves the rules of addition and subtraction of integers, according to which subtracting a negative number is equivalent to adding the absolute value of that number.
So, to find the distance, we do: 5 - (-4) = 5 + 4 = 9. Following these rules of addition and subtraction of integers, we find that the distance between -4 and 5 on a number line is 9 units.
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What is the difference of the complex numbers below?
(-2+5i) - (9+3i)
A. -11+8i
B. 11+2i
C. -11+2i
D. -11-8i
Answer:
Option c is correct answer
Step-by-step explanation:
See answer in above picture
Answer:
C. -11+2i
Step-by-step explanation:
Please answer this correctly
Answer:
Smith
Step-by-step explanation:
Woodson has fewer than Smith
Smith>Woodson
Woodson has more than Rodriquez
Smith>Woodson>Rodriguez
Blackburn has fewer then Rodriguez
Smith>Woodson>Rodriguez>Blackburn
3 question problem, plz HELP!!!!!!
Answer:
the four point cannot be on the same line , but they have to be on the plane.
A D C E
collinear means on the same line
so ABC
non-coplanar means the point do not lie on the same plane so you can include point F
F A D B
If a globe rotates through 150 degrees in 5 seconds, how many rotations does it make in 30
Answer:
4,500
Step-by-step explanation:
150 x 30
15 x 3 = 45, add 2 0's at end, 4,500
Select the correct answer
Which statement correctly compares a sprain to a strain
OA Asprain affects the bone, while a strain does not
OB. A sprain affects a ligament, while a strain does not
OC Sprains and strains use the same grading scale for severity
OD. Sprains and strains are permanent injuries without cures
Reset
Next
Answer:
b is the anwesr your looking for
Step-by-step explanation:
Answer:
b is it
Step-by-step explanation:
The volume of rectangular prism is 300 cubic inches.If the length of the prism is 5 inches and the width is 8 inches.What is the height of the rectangular prism ?
Answer:
7.5
Step-by-step explanation:
5 times 8 equals 40
300 divide 40 equals 7.5
to check the answer i use 5 times 8 times 7.5
and the answer is 300.
so my answer is correct
Given: 4(x + y) = 48
y = 6
Prove: x = 6
Answer:
you have to replace y with 6 to prove that x = 6
4(x + 6) = 48
4x + 24 = 48
4x = 24
x=6
what's the absolute of -7? (|-7|)
Answer:
-7 can't have an absolute value if thats not what you meant then im sorry :(
Step-by-step explanation:
Answer:
The absolute value of -7 would be 7. Absolute value is unsigned which means that you remove the signs, even when a number is negative the absolute value is positive. I hope this helped :)
Step-by-step explanation:
what decimal equivalent of each rational number
7/20
-23/20
1/18
-60/22
Answer:
7/20=0.35
-23/20=1.15
1/18=0.5 (5 repeating)
-60/22=-2.72 (72 repeating)
The decimal equivalent of each rational number is given below:-
7/20=0.35
-23/20=1.15
1/18=0.5 (5 repeatings)
-60/22=-2.72
What are decimal numbers?The accepted method for representing both integer and non-integer numbers is the decimal numeral system. Decimal notation is the term used to describe how numbers are represented in the decimal system.
The decimal numbers will be calculated as below:-
(1) 7/20
Divide 7 by 20 to get the decimal form.
7/ 20 = 0.35
(2) -23/20
Divide -23 by 20 to get the decimal form.
-23/20 = 1.15
(3) 1/18
Divide 1 by 18 to get the decimal form.
1/18 = 0.5555555................
(3) -60/22
Divide -60 by 22 to get the decimal form.
-60/22 = 2.727272.......
Therefore, all the values in the decimal form are calculated above.
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f(x) = -3x + 3, then
f-1(x) =
Answer:
[tex]f^{-1}[/tex](x) = [tex]\frac{3-x}{3}[/tex]
Step-by-step explanation:
Let y = f(x) and rearrange making x the subject, that is
y = - 3x + 3 ( add 3x to both sides )
3x + y = 3 ( subtract y from both sides )
3x = 3 - y ( divide both sides by 3 )
x = [tex]\frac{3-y}{3}[/tex]
Change x back into terms of y
[tex]f^{-1}[/tex](x) = [tex]\frac{3-x}{3}[/tex]
I'LL GIVE BRAINLIEST HELP
Jim is paid for overtime when he works more than 40 hours per week.
a. Write an expression for the number of hours he works overtime when he works h hours.
b. Find the number of hours Jim works overtime when he works 40, 44, 48, and 52 hours.
Answer:
a. O = h - 40
b. 0, 4, 8, 12
Step-by-step explanation:
Let numver of overtime hours Jim workes for defined by O.
Standard working hours in a week for Jim = 40 Hours
If Jim is working for h hours then number of overtime hours will be given as difference between total hours he worked and standard working hours in a week.
⇒ O = h - 40
now, if jim has worked for 40, 44, 48 and 52 hours then his over time for all these cases will be
O = 40 - 40 = 0 Hours
O = 44 - 40 = 4 Hours
O = 48 - 40 = 8 Hours
O = 52 - 40 = 12 Hours respectively.
Rafael wanted to order half a medium pizza at a restaurant. The waiter told him that a medium pizza could be cut into 6 or 8 slices. Would he prefer 3 out of 6 or 4 out of 8 slices? Rafael replies that he isn’t very hungry, he would prefer 3 out of 6 slices. Explain what is wrong with Rafael’s reason?
Answer:
The wrong in Rafael reason is that 3/6 = 4/8 = 1/2 pizza
Step-by-step explanation:
* Lets explain how to solve the problem
- When we have a quantity we can divided it to many equivalent
fractions
- Equivalent fractions means fractions equal each other
- We can find the equivalent fraction by multiply or divide the two
terms of the fraction by the same number
- Ex: We can divide a circle into two equal parts each part is 1/2 the
circle, if we multiply each term of the fraction by 2 (up and down)
then we will have 2/4 which is equivalent to 1/2 the circle
- Then we can divide the circle by 2 parts with many equivalent fractions
1/2 = 2/4 = 3/6 = ..................
* Lets solve the problem
- Rafael wanted to order half a medium pizza
- The medium pizza could be cut into 6 or 8 slices
∵ The half of 6 is 3/6
∵ The half of 8 is 4/8
- Lets simplify the two fraction
∵ 3/6 = 1/2 by dividing up and down by 3
∵ 4/8 = 1/2 by dividing up and down by 4
∴ There is no difference between the two orders, both of them
equal half the pizza
∴ The wrong in Rafael reason is that 3/6 = 4/8 = 1/2 pizza
Why would a person choose a PPO over an HMO?
Answer:
With an HMO plan, you pick one primary care physician. All your health care services go through that doctor. That means that you need a referral before you can see any other health care professional, except in an emergency. Visits to health care professionals outside of your network typically aren’t covered by your insurance.
PPO plans give you flexibility. You don’t need a primary care physician. You can go to any health care professional you want without a referral inside or outside of your network.
Staying inside your network means smaller copays and full coverage. If you choose to go outside your network, you'll have higher out-of-pocket costs, and not all services may be covered.
This got me 100% on the assignment!
PPO plans give you flexibility. You don’t need a primary care physician. You can go to any health care professional you want without a referral inside or outside of your network.
Staying inside your network means smaller copays and full coverage.
HMO providers are paid on a per-member basis, regardless of the number of times they see a member.
This makes HMO plans a more economical choice than PPOs. An HMO generally only covers care received from the plan's contracted providers, known as “in-network” providers.
PPO plans generally are more expensive than HMO plans. However, due to the pooling of people in a PPO network, fees associated with health care will be lower for participants.
In other words, you will pay far less for services if you are in a PPO plan vs. not having insurance at all.
So, the person choose a PPO over a HMO.
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A line passes through the two given points. Is it vertical, horizontal, or neither?
(-8, 3), (-7,3)
Vertical
Horizontal
Neither
Answer:
it is Horizontal
Step-by-step explanation: A Horizontal line is constantly on a single point on the Y axis this line is on the point 3
Answer is verticle
Step-by-step explanation:
Betsy spends her entire allowance one month. She spends 1/2 on new clothes, 1/5 on food, 1/5 on movies, and 1/10 on music. How much more does she spend on clothes than she does on movies?
A) 1/5 of her allowance C) 3/10 of her allowance
B) 1/2 of her allowance D) 1/10 of her allowance
Answer: The answer is C because 1/2 - 1/5 = 3/10
Distributive Property- Simplify each expression:
-10x(4 + 6x)
Answer: =−60x2−40x
Step-by-step explanation:
(−10x)(4+6x)
=(−10x)(4+6x)
=(−10x)(4)+(−10x)(6x)
=−40x−60x2
=−60x2−40x
2x+6=x+14 pleeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeease
2x+6=x+14
move x to the other side
sign changes from +x to -x
2x-x+6= x-x+14
2x-x+6= 14
x+6=14
move +6 to the other side
sign changes from +6 to -6
x+6-6=14-6
Answer: x= 8
Simplify the following expression.
( -2 + 4i ) - ( 3 - 5i )
Answer:
-5+9i
Step-by-step explanation:
-2+4i-3+5i=-5+9i
The solution of the expression ( -2 + 4i ) - ( 3 - 5i ) is -5 + 9i.
What is simplification?Simplification generally means finding an answer for the complex calculation that may involve numbers on division, multiplication, square roots, cube roots, plus and minus.
Now the given expression is,
( -2 + 4i ) - ( 3 - 5i )
opening the brackets,we have
-2 + 4i - 3 + 5i
Rearranging them by taking alike terms together,
-2 -3 + 4i + 5i
Solving them, we get
-5 + 9i
Hence,the solution of the expression ( -2 + 4i ) - ( 3 - 5i ) is -5 + 9i.
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84.375 as a mixed number
Show that x^2 + 4x + 6 cannot be factorised by completing the square.
Answer:
see explanation
Step-by-step explanation:
Given
x² + 4x + 6
To complete the square
add/subtract ( half the coefficient of the x- term )² to x² + 4x
= x² + 2(2)x + 4 - 4 + 6
= (x + 2)² + 2
This does not reduce to a difference of squares and cannot be factored further
10 POINTS BOIII
What is the slope of the line on the graph? P.S it's supposed to be a number.
Answer:
negative 2.5
Step-by-step explanation:
An audio books club charges an initial joining fee of $20.00. The cost per audio book is $15.00. The graph shows the cost of belonging to the club as a function of audio books purchased. How will the graph change if the cost per audio book goes up by $1.00?
(The new function is shown by the dotted line.)
Answer:
The new function will have a steeper slope
Step-by-step explanation:
Let
x ----> the number of audio books purchased
y ---->the cost of belonging to the club in dollars
we know that
case 1 (Originally)
[tex]y=15x+20[/tex] ----> equation A
case 2 ( the cost per audio book goes up by $1.00)
The new equation is
[tex]y=(15+1)x+20[/tex]
[tex]y=16x+20[/tex]
The slope of the new function is greater than the slope of the original function
[tex]16\frac{\$}{audio\ book}>15\frac{\$}{audio\ book}[/tex]
The new function will have a steeper slope
The graph in the attached figure
If the cost per audio book goes up by $1.00, the graph will shift upward by $1.00 for every point on the graph.
Explanation:The graph represents the cost of belonging to an audio books club as a function of the number of audio books purchased. The x-axis represents the number of audio books and the y-axis represents the total cost. The initial joining fee of $20.00 is a fixed cost and stays the same regardless of the number of audio books purchased. The cost per audio book is $15.00. If the cost per audio book goes up by $1.00, the graph will shift upward by $1.00 for every point on the graph. This means the new function will be a parallel line to the original function, but shifted up by $1.00.
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A rectangular room is 1.5 times as long as it is wide, and its perimeter is30 meters. find the dimension of the room.
Answer:
6 meters by 9 meters
Step-by-step explanation:
Step 1: Formula for perimeter of rectangle
Rectangle's perimeter = 2 (length) + 2 (width)
Rectangle's perimeter = 2 (length + width)
Step 2: Find the length and width in terms of x
Width = x
Length = 1.5 times width
Length = 1.5x
Step 3: Find x
Perimeter = 2(length + width)
30 = 2 (1.5x + x)
30/2 = 2.5x
15/2.5 = x
x = 6
Step 4: Find the length and width
Width = x = 6 meters
Length = 1.5x = 1.5(6) = 9 meters
Therefore, the dimensions of the room are 6 meters and 9 meters.
Answer:The dimensions of the room are...
w = 3m
l = 4.5m
Step-by-step explanation:
Write l in terms of w. 1.5w
Write an equation for the perimeter P in terms of w. 5w
Richard and Gloria ran a 10-kilometer race. Gloria gave Richard a head start by letting him begin 2.2 kilometers in front of the start line. The distances of Richard and Gloria past the start line as the race progressed can be represented by linear functions and are shown in the table of values and graph below. Whose time was faster, and by how much? Richard’s Distance Past the Start Line Time (minutes) 5 10 15 20 25 Distance (kilometers) 2.8 3.4 4.0 4.6 5.2 Gloria’s time was 0.5 minutes faster. Richard’s time was 0.5 minutes faster. Gloria’s time was 2.5 minutes faster. Richard’s time was 2.5 minutes faster.
Answer:
C
Step-by-step explanation:
Gloria’s time was 2.5 minutes faster.
Richard’s Distance Past the Start Line
Time (minutes) 5 10 15 20 25
Distance (kilometers) 2.8 3.4 4.0 4.6 5.2
Now, as Gloria gave Richard a head start by letting him begin 2.2 kilometers in front of the start line.
So, Gloria’s Distance Past the Start Line would be
Time (minutes) 5 10 15 20 25
Distance (kilometers) 0.6 1.2 1.8 2.4 3.0
Gloria’s time was 2.5 minutes faster.
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