Answer:
a) The polynomial for the perimeter of the rectangle is = 14a - 2b
b) 150
Step-by-step explanation:
a) The formula for the area of a rectangle is given as:
P = 2L + 2W
From the question:
The length of a rectangle = 4a+3b
The width of a rectangle = 3a-2b.
The Perimeter of the rectangle is
Perimeter = 2(4a + 3b) + 2(3a - 2b)
Perimeter = 8a + 6b + 6a - 4b
Perimeter = 8a + 6a + 6b - 4b
Perimeter = 14a - 2b
Hence:
The polynomial for the perimeter of the rectangle is = 14a - 2b
b) What is the minimum perimeter of the rectangle if a=12 and b is a non-zero whole number?
Non-zero whole number are single digit number such as: 1, 2, 3, 4, 5, 6, 7, 8, 9
The perimeter of the rectangle is = 14a - 2b
We are asked to find the minimum perimeter of the rectangle if a=12 and b is a non-zero whole number.
In order to solve this, we would used the highest non zero whole number which is 9
Hence,
For a = 12 , b = 9
14 × 12 - 2(9)
= 168 - 18
= 150
Hence, the minimum perimeter of the rectangle if a=12 and b is a non-zero whole number is 150
Two number cubes, one red and one blue, are rolled. What is the probability that the outcome of the red number cube is even and the outcome of the blue number cube is a 5
Answer: The probability is 0.083
Step-by-step explanation:
First, let's find the individual probabilities:
The probability that the outcome of the red number cube is even:
This will be equal to the quotient between the number of outcomes that are even (3) and the total number of outcomes for this dice (6)
Then the probability is:
p = 3/6 = 1/2.
The probability that the outcome of the blue number cube is a 5.
Similar to the above case, here the probability will be the quotient between the number of outcomes that are 5 (only one) and the total number of outcomes.
q = 1/6
And the joint probability will be equal to the product of the individual probabilities, then he probability that the outcome of the red number cube is even and the outcome of the blue number cube is a 5 is equal to:
P = p*q = (1/2)*(1/6) = 1/12 = 0.083
Writer the ratio in 3 ways 4 books for every 25 shelves
Answer:
400:2500 , 40:250 ,and 4:25
DOES ANYONE KNOW THIS?? PLEASE HELP ME ON MY GEOMETRY
Step-by-step explanation:
Arrow JK=360-54-130-110=66
arrow MK=66+54=120
Angle L=120/2=60
3a=60
a=30
Why did the lady not get arrested after she shot, drowned, and hanged her family?
Answer:
how is this a math question? ;-;
Maya left her house and drove to the store. She stopped and went inside. From there,
she drove in the same direction until she got to the bank. She stopped and went
inside the bank. Then she drove home. The graph below shows the number of blocks
away from home Maya is 3 minutes after she left her house, until she got back home. How far away from her house was maya after 6 minutes?
It take her 20 minutes, but I don't know how the graph looks like yet, so I can only tell you that xx=20
-Millie
Maya is 6 blocks away from her home after 6 minutes of driving.
What is reflection of a geometrical image? What is a mathematical function, equation and expression? graph : A diagram showing the relation between variable quantities, typically of two variables, each measured along one of a pair of axes at right angles.function : In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function.expression : A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.equation : A mathematical equation is used to equate two expressions.Given is a graph in the question as shown in the image attached.
It can be seen that after 6 minutes of the home, Maya is 6 blocks away from the graph. The [y] coordinate corresponding to 6 minutes is 6 blocks away from the house.
Therefore, Maya is 6 blocks away from her home after 6 minutes of driving.
To solve more questions on graphical distances, visit the link below -
https://brainly.com/question/28531542
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-2x^a(-4x^b-2x^3+5x)
find the product
help plzzz
Write an exponential function that passes through the points:
1. (0,8),(1,12)
2. (0,3), (5, 16)
Answer:
If you have two points, (x1, y1) and (x2, y2), you can define the exponential function that passes through these points by substituting them in the equation y = abx and solving for a and b. In general, you have to solve this pair of equations: y1 = abx1 and y2 = abx2, .
Andrew can type 1.5 pages in 10 minutes. At this rate, how many pages can Andrew type in 1 hour? pls help me hurry have do be done today
Answer:
Andrew will be able to type 9 pages in 1 hour
Step-by-step explanation:
1.5 x 6 = 9
Hope this helped !
Answer:
9 pages
Step-by-step explanation:
because if he typed 1.5 in 10 min, then 1.5 times 6 equals 9Can someone help me get extra credit in my class?
Geometry question easy
Answer:
the last one is true
Step-by-step explanation:
sin R=PQ/PR=TS/TR
Choose the equation of the line. y = 2x – 7 y = 2x + 11 y = –4x + 14 y = 3x +14
Answer:
y = 2x+11
Step-by-step explanation:
Answer:B
Step-by-step explanation:
ii) Find the value of if the pair of parallel lines are cutting by a transversal and give reason for your answer
Please help me :(
Answer:
50
Step-by-step explanation:
When two parallel lines are cut by a transversal, we see that same side exterior angles sum to 180 degrees.
It's like the blue angle and the green angle add together to sum 180. So you can construct an equation knowing this to find what x is:
[tex]2x+30+x=180\\3x+30=180\\3x=180-30\\3x=150\\x=\frac{150}{3}\\x=50[/tex]
(The reason for the answer is the first line I wrote)
select all the questions that can represent the question: how many groups of 2/3 are in 1
1. 1 • 2/3 = ?
2. 2/3 divide 1 = ?
3. ? • 1 = 2/3
4. ? • 2/3 = 1
5. 1 divide 2/3 = ?
please help
a:b is 13:4
c:b is 7:3
what is a:c
help me :) pls thx :)))))))))))))))))))))))
Answer:
-8m + 24 - 32n
Step-by-step explanation:
(-8)(m) + (-8)(-3) + (-8)(4n) = -8m + 24 - 32n
Please answer correctly !!!!!!!!!!!!!! Will Mark Brianliest !!!!!!!!!!!!!!!!!!!
Answer:
x = 30
Step-by-step explanation:
well from the theorem we have
[tex]\frac{15}{3}=\frac{x}{6}[/tex]
yes i know you could say that the right way is
[tex]\frac{3}{15}=\frac{6}{x}[/tex]
well if you notice they are the same only that in my way the x is in the numerator which means it will be far easier to know it's value :)
so
[tex]\frac{15}{3}=\frac{x}{6}\\\\5=\frac{x}{6}\\\\6[5]=6[\frac{x}{6}]\\\\30=x[/tex]
Complete this number sentence.
0.59 > ____
A) 0.7
B) 0.09
C) 0.59
D) 0.61
Answer:
A and D are the answers for the question and
Step-by-step explanation:
please mark me as brainlest
Can someone please please answer this and explain it? my math teacher didn’t :( will give brainliest points for explanation!!! (Ignore work above that was for a different question)
Answer:
QR = 1
Step-by-step explanation:
PR = PQ + QR
PR = x + 19
PQ = 9
So now put what you know in the equation above.
PR = 9 + 2x + 19
PR also equals x + 19
so
x + 19 = 9 + 2x + 19
x + 19 = 2x + 28
19 - 28 + x = 2x
-9 + x = 2x
-9 = 2x - x
-9 = x
===================
QR = 2x + 19
QR = 2*-9 + 19
QR = -18 + 19
QR = 1
This really is kind of a nasty question. You don't expect to get a minus number of x.
how to calculate directly propotonal
Answer: Direct Proportion
In mathematical statements, it can be expressed as y = kx. This reads as “y varies directly as x” or “y is directly proportional as x” where k is constant in the equation. Example: y is directly proportional to x, when x = 15, y = 30.
What is the answer (6 - 4) x 3
Answer:
its 6
Step-by-step explanation:
6-4=2
2*3=6
hope it helps
Hey there!
In order to answer this question, you have to do PEMDAS
• Parentheses
• Exponents
• Multiplication
• Division
• Addition
• Subtraction
“(6 – 4) • 3”
• FIRST: we have to work with inside the PARENTHESES
(6 – 4) = 2
• We can SKIP exponents because we DON’T have any EXPONENTS
• SECOND: we have to MULTIPLY
2 • 3 = 6
• We can SKIP the others (Division, Addition, and Subtraction) because we don’t need them
• Answer: 6 ☑️
Good luck on your assignment and enjoy your day!
~LoveYourselfFirst:)
╭╮╱╭╮
┃┃╱┃┃
┃╰━╯┣╮
┃╭━╮┣┫
┃┃╱┃┃┃
╰╯╱╰┻╯
Answer:
OwwssStep-by-step explanation:
How are you feeling in your home
if(x) = x + 2 and h(x) = x-1, what is f • h](-3)?
Answer/Step-by-step explanation:
Composition functions are functions that combine to make a new function. We use the notation ◦ to denote a composition.
f ◦ g is the composition function that has f composed with g. Be aware though, f ◦ g is not
the same as g ◦ f. (This means that composition is not commutative).
f ◦ g ◦ h is the composition that composes f with g with h.
Since when we combine functions in composition to make a new function, sometimes we
define a function to be the composition of two smaller function. For instance,
h = f ◦ g (1)
h is the function that is made from f composed with g.
For regular functions such as, say:
f(x) = 3x
2 + 2x + 1 (2)
What do we end up doing with this function? All we do is plug in various values of x into
the function because that’s what the function accepts as inputs. So we would have different
outputs for each input:
f(−2) = 3(−2)2 + 2(−2) + 1 = 12 − 4 + 1 = 9 (3)
f(0) = 3(0)2 + 2(0) + 1 = 1 (4)
f(2) = 3(2)2 + 2(2) + 1 = 12 + 4 + 1 = 17 (5)
When composing functions we do the same thing but instead of plugging in numbers we are
plugging in whole functions. For example let’s look at the following problems below:
Examples
• Find (f ◦ g)(x) for f and g below.
f(x) = 3x + 4 (6)
g(x) = x
2 +
1
x
(7)
When composing functions we always read from right to left. So, first, we will plug x
into g (which is already done) and then g into f. What this means, is that wherever we
see an x in f we will plug in g. That is, g acts as our new variable and we have f(g(x)).
g(x) = x
2 +
1
x
(8)
f(x) = 3x + 4 (9)
f( ) = 3( ) + 4 (10)
f(g(x)) = 3(g(x)) + 4 (11)
f(x
2 +
1
x
) = 3(x
2 +
1
x
) + 4 (12)
f(x
2 +
1
x
) = 3x
2 +
3
x
+ 4 (13)
Thus, (f ◦ g)(x) = f(g(x)) = 3x
2 +
3
x + 4.
Let’s try one more composition but this time with 3 functions. It’ll be exactly the same but
with one extra step.
• Find (f ◦ g ◦ h)(x) given f, g, and h below.
f(x) = 2x (14)
g(x) = x
2 + 2x (15)
h(x) = 2x (16)
(17)
We wish to find f(g(h(x))). We will first find g(h(x)).
h(x) = 2x (18)
g( ) = ( )2 + 2( ) (19)
g(h(x)) = (h(x))2 + 2(h(x)) (20)
g(2x) = (2x)
2 + 2(2x) (21)
g(2x) = 4x
2 + 4x (22)
Thus g(h(x)) = 4x
2 + 4x. We now wish to find f(g(h(x))).
g(h(x)) = 4x
2 + 4x (23)
f( ) = 2( ) (24)
f(g(h(x))) = 2(g(h(x))) (25)
f(4x
2 + 4x) = 2(4x
2 + 4x) (26)
f(4x
2 + 4x) = 8x
2 + 8x (27)
(28)
Thus (f ◦ g ◦ h)(x) = f(g(h(x))) = 8x
2 + 8x.
I am having a hard time with basic geography pls help
The answer is 53 degrees
Answer:
Geography? You mean middle school math? But anyways, the measure of angle 6 is 143 degrees.
Step-by-step explanation:
So, all the angles that measure 37 degrees are 1, 4, 5, and 8. First, you know that 37 + x = 180. Now, do 180 - 37. You should get 143, you are welcome.
help please thank you!!
A card is selected from a pack of 52 cards. What is the probability that the card is a 4
Answer:
1/52
Step-by-step explanation:
The probability that the card is a 4 in a pack of cards is 1 /13.
What is probability?A probability is a numerical representation of the likelihood or chance that a specific event will take place. Both proportions ranging from 0 to 1 and percentages ranging from 0% to 100% can be used to describe probabilities.
Given, A card is selected from a pack of 52 cards. A favorable outcome is getting 4 since there are four 4 in a pack of cards. Thus,
When a card is selected from a pack of 52 cards the number of possible outcomes is 52 i.e., the sample space contains 52 elements
Therefore there are 52 points in the sample space.
Let E be the event in which the card drawn is an ace.
Since there are 4 aces in a pack of 52 cards n(E)=4
∴P(E)= [tex]\frac{Totalnumberofpossibleoutcomes}{Numberofoutcomesfavourableto}[/tex]
E = [tex]\frac{n(S)}{n(E)}[/tex]
E = 4/52 = 1/13
Therefore, In a deck of cards, there is a 1 in 13 chance that the card is a 4.
Learn more about probability here:
https://brainly.com/question/11234923
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what expressions are equivalent to 4×3/10
Answer:
Hop. Answer ur question the answer is 13
Step-by-step explanation:
yeah hope i helped
12/10
6/5
It’s simple by Dividing
5.7 +2.25 +1.3 I NeEd help
Answer:
9.25
Step-by-step explanation:
No problem..
F.4/7
G.1/2
H.1/4
J.3/7
Answer:
• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier
Step-by-step explanation:
• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closin[tex]\sqrt{x} 67[/tex]g of the frontier
One way to rename 5 3/10 is 4 8/10. True or False
Answer:
4 13/10
Step-by-step explanation:
im pretty sure this is right bc essentialy a group of one is because bc you took 1 away from 5 but it has to be 10 bc the denominator is 10 and then you addd the 10 to 3
Answer:
The statement above is false
Step-by-step explanation:
5 3/10= 5*10+3=53/10
now to simplify 53/10=1 43/10=2 33/10=3 23/10=4 13/10=5 3/10
So it's false.
we’re doing a review and i forgot like everything anyway please help :)
Well since it's better to teach you than answer, I'll give you an explanation using #1.
Answer:
6.88
Step-by-step explanation:
In the parentheses, 1.6 has one decimal place, and so does 4.3. (count number of digits after decimal point.) So a total of 2 decimal places. (1) + (1) = (2)
Next, ignore the decimal points for now and multiply 16 × 43 = 688.
Add in the 2 decimal places, 6.88, there is your answer!
You are hiring a limousine. One company charges a $60 reservation fee plus another $15 per hour. A second company charges a $25 reservation fee plus another $20 per hour. Write and solve a linear equation to find the number of hours at which the total cost is the same for both companies.
Answer:
7 hours
Step-by-step explanation:
Step one:
given data
let the total charges be y and the number of hours be x
Company A charges
$60 reservation fee plus another $15 per hour.
so
y=60+15x----------1
Company B charges
$25 reservation fee plus another $20 per hour
y=25+20x------------2
Step two:
equate the 2 expressions above we have
60+15x=25+20x
collect like terms
60-25=20x-15x
35=5x
divide both sides by 5
x= 35/5
x= 7 hours