a using the strategy to determine the area of the large rectangle
b explain how this strategy relates to the binomial multiplication
c focused on multiplying two binomials, explain a strategy that can be used to multiply any two polynomials
Answers
The area of the large rectangle by using the strategy is; 168cm².
What is the area of tge large rectangle?The area of the rectangle can be determined by multiplying the length and width of the rectangle as follows;
Area = Length × width
Area = (10cm + 4cm) × (10cm × 2cm)
Area = (100+20+40+8)cm²
Area = 168 cm².
The strategy used above entails that the two binomials used to represent the length and width of the rectangle are multiplied according to binomial multiplication.
The strategy is that each term of the first binomials is used to multiply the terms in the second polynomial and the aggregate result of the multiplications is determined.
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Related Questions
What is the factored form of this expression?
216p6 + 1
(3p – 1) (3p + 1) (6p2 – p2 + 1)
(3p – 1) (3p + 1) (36p4 + 6p2 + 1)
(6p2 + 1)(36p4 - 6p2 + 1)
o 6p2 – 1) (36p4 + 6p2 + 1)
Answers
(6p2+1)(36p4+6p2+1)
can someone help me solve this please :)
Answers
Answer:
Step-by-step explanation:
The Inconsistent Books store changes the normal prices of books on Mondays and Tuesdays. On Monday the price of a book is 10% above the normal price. On Tuesday the price is 10% below the normal price. Sarah bought a book on Monday for $16.50. Would would be the price of that book on a Tuesday?
Answers
Help me find the hight explain
Answers
Answer:
h = 26cm
Step-by-step explanation:
V = (l w h)/3
so the volume of the first one is
20*12*13 /3= 1040
1040 = 12*10*h/3
3120 = 120h
h = 26
The answer is C. 23 cm
Bonnie has 4 sharpened and 8 unsharpened pencils in her pencil case. She randomly selects 2 of the pebcils from the box without replacement. What is the probability that both pencils will be sharpened? A. 1/2 B.1/9 C. 4/33 D.1/11
Answers
Answer:
D. 1/11.
Step-by-step explanation:
There are 12 pencils in the case.
Prob( first one is sharpened) = 4/12 = 1/3
Prob(second is sharpened) = 3/11
Prob(both sharpened) = 1/3 * 3/11
= 3/33
= 1/11.
The probability is 1/11 that both pencils will be sharpened which is the correct option(D).
What is probability?The probability is defined as the possibility of an event being equal to the ratio of the number of outcomes and the total number of outcomes.
Given that,
Bonnie has 4 sharpened and 8 unsharpened pencils
So, there is a total of 12 pencils in the pencil case.
Let, the probability first one is sharpened is P(E₁)
The probability second one is sharpened is P(E₂)
P(E₁) = 4/12 = 1/3
P(E₂) = 3/11
Required probability both sharpened P(E) = P(E₁)×P(E₂)
Required probability both sharpened P(E) = 1/3 × 3/11
Required probability both sharpened P(E) = 3/33
Required probability both sharpened P(E) = 1/11.
Hence, the probability is 1/11 that both pencils will be sharpened.
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81.04 x 0.010 answer please
Answers
Answer:
0.8104
Step-by-step explanation:
Answer:
0.8104
Step-by-step explanation:
Take the 0 out of the end of the 0.010 because there is no reason for it to be there.
Then you just multiply 81.04 by 1 because the rest of 0.01 is just zeros and the you get 81.04.
Then you count the decimal places in 0.01 which you get two so you move the decimal in 81.04 two times to the left.
Your answer should be .8104
I hope this helps!!!!
Complete the square to make a perfect square trinomial. Then, write the result as a binomial squared. x^2+5/4x
Answers
Let's work backwards.
The answer will be in the form (x+a)^2 for any real number a
Now the expansion will be x^2+2ax+a^2.
We can see just from this that 2a=5/4
a=5/8
The result binomial should be x+5/8
Resulting binomial squared expansion should be x^2+5/4x+25/64
The term we need to add will be 25/64
A rectangle has a length of (x+3) centimeters and a width of 1/2 x centimeters. If the perimeter is 24 centimeters, what is the length of the rectangle?
Answers
Answer:
Step-by-step explanation:
Perimeter = 2L + 2W = 24
L+W = 12
(x+3)+(x/2) = 12
2x+6 +x = 24
x = 6 cm
L = x+3 = 9 cm
The amount of time needed to complete a certain roadtrip, t, varies inversely with the speed of a vehicle, s. At a speed of 52 miles per hour, the trip will be complete in 12 hours. How many hours would it take at a speed of 48 miles per hour?
Do not include the units in your answer.
Answers
At a speed of 48 miles per hour, it would take 13 hours.
What is speed?Velocity is the pace and direction of an item's movement, whereas speed is the time rate at which an object is travelling along a route.
Given:
The amount of time needed to complete a certain road trip, t, varies inversely with the speed of a vehicle, s. At a speed of 52 miles per hour, the trip will be complete in 12 hours.
Distance is constant.
And we know the formula:
Distance = speed x time
= 52 x 12
= 624 miles
Now to find the time:
Now for speed = 48 miles per hour
time,
t = distance / speed
= 624/48
= 13 hours
Therefore, 13 hours would it take at a speed of 48 miles per hour.
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Aaron mows lawns and makes $70 per week. Last week
he spent $15 on gas and spent 5 hours mowing all of the
lawns. How much did he earn per hour?
Answers
Given the points (-5,-7) and (-2,-8), calculate
the slope.
(I NEED THIS ANSWER ASAP!)
Answers
Answer:
Slope is -1/3
Step-by-step explanation:
(-5,-7)(-2,-8)
-8+7/-2+5
-1/3
m=-1/3
Answer:
Slope=-1/3
Step-by-step explanation:
To begin a bacteria study, a petri dish had 2800 bacteria cells. Each hour since, the number of cells has increased by 7.2%. Let t be the number of hours since the start of the study. Let y be the number of bacteria cells. Write an exponential function showing the relationship between y and t.
Answers
P(t) = P0*(1 + r)^t, where
P0 = P(0) is the initial value of P
r is the growth rate as a decimal
In our case we have:
P(0) = 2800
r = 0.035 or 3.5%
P(t) = 2800*(1 + 0.035)^t
P(t) = 2800*(1.035)^t
The same exponential function written using y and t is:
y = 2800*1.035^t.
Explanation: https://softmath.com/algebra-word-problems/to-begin-a-bacteria-study-a-petri-dish-had-2800-bacteria
What is the value of y?
2y
Y+10
50°
Answers
Answer:
The question is incorrect. Please rewrite the question.
The ratio of cows to goats in a farm is 3:2 if there are 210 more cows than goats how many animals are there in the farm
Answers
Explanation: We need to find the number of goats and add that to the 210 cows.
Since we have a ratio, we can use the equation 3/2=210/x.
Cross multiplying gives us 3x=420, where x is 140 goats.
Finally, 140+210=350.
A function and its inverse are shown on the graph.
y
y
6
f(x)
4
Which answer pairs a possible domain restriction
for f(x) and its corresponding impact on f'(x)?
O f(x) domain: x 2 1
f'(x) domain: x 2 1
Of(x) domain: x 2 1
f'(x) range: y21
Of(x) domain: XS-2
f'(x) domain: x = -2
Of(x) domain: xs-2
f'(x) range: ys-2
2.
x
+
-2
2
4
6
-2
f (x)
-6
Answers
Answer:
not: f(x) domain: x ≤ -2
f^-1(x) range: y ≤ -2
Step-by-step explanation:
The possible domain restriction for f(x) and its corresponding impact on f'(x) is f(x) domain: x < 1, f'(x) domain: x < 1.
How to find the function which 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.
For example, if the graph of a function is rising upwards after a certain value of x, then the function must be having increasingly output for inputs greater than that value of x.
If we know that the function crosses x axis at some point, then for some polynomial functions, we have those as roots of the polynomial.
We are given that;
The graph of function
Now,
Looking at the graph, we can see that the function and its inverse are reflections of each other across the line y = x. This means that the domain of the inverse function corresponds to the range of the original function, and vice versa.
From the graph, we can see that the original function f(x) has a vertical asymptote at x = 1. This means that the function is undefined at x = 1.
Therefore, a possible domain restriction for f(x) is x < 1, which would exclude x = 1 from the domain. The corresponding impact on f'(x) would be that f'(x) would also be undefined at x = 1.
So, the answer that pairs a possible domain restriction for f(x) and its corresponding impact on f'(x) is:
f(x) domain: x < 1
f'(x) domain: x < 1
This is because the domain of f(x) is restricted to exclude x = 1, and the corresponding impact on f'(x) is that it is also undefined at x = 1.
Therefore, by the graphed function the answer will be f(x) domain: x < 1, f'(x) domain: x < 1.
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How many
liters of paint needed to paint a room
that is 96 meter square if 1 liter of
paint covers 5 meter square
5 meter Square meters
Answers
Answer:
19,2 l
Step-by-step explanation:
It's given that the area = 96 [tex]m^{2}[/tex]
// make a proportion
1 liters - 5 [tex]m^{2}[/tex]
x liters - 96 [tex]m^{2}[/tex]
x = 96/5 = 19,2 (l)
Jake is a factory manager for a company that produces batteries. Occasionally, some are found to be defective. Based on previous results, Jake
estimates that 12 batteries will be defective for a certain month. However, 10 were actually defective. What is the percent error of Jake's estimate?
Answers
20%
Explanation:
The formula for percent error is (accepted value - experimental value) / accepted value x 100. If you want to check plug that formula into a calculator. Work is shown below. 10-12 = -2. -2/10 = -0.2. -0.2 x 100 = -20. -20 x -1 = 20
20%
The percent error of Jake's estimate is 16.6 % when he found 10 were actually defective out of 12 batteries.
What is the percentage?The percentage is defined as a ratio expressed as a fraction of 100.
For example, If Mili obtained a score of 57% on her exam, that corresponds to 67 out of 100. It is expressed as 57/100 in fractional form and as 57:100 in ratio form.
Jake calculates that 12 batteries will be faulty during the month given in the question.
To determine the percent error which is the percentage of the difference between the accepted value and the experimental value.
As per the given condition, the required solution would be as:
⇒ [(12 - 10)/12] × 100
= [(2/12)] × 100
= [1/6] × 100
= 0.166× 100
= 16.6 %
Thus, the percent error of Jake's estimate is 16.6 %.
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50 PONITS
If you travel 82 km in 40 minutes, what is your speed in km/h?
Answers
Answer:
123 km/h
Step-by-step explanation:
the formula for the unit rate would be 82/40
82 divided by 40 is 2.05km/m
Then you have to convert 2.05 km/m to km/h
multiply 2.05 times 60 and your answer is 123 km/h
Answer: 123 km/h
Step-by-step explanation:
Complete the function table,
then list the domain of the function
Domain
What’s the next numbers ?
Answers
Answer:
f(x)=x-2
f(2)=2-2=0
f(3)=3-2=1
you only have attach the number to x
Answers:
Second row: 0Third row: 3-2 and 1====================================================
Explanation:
The first column is the list of x values we plug into the function. The second column describes what happens to those x inputs. Namely, we subtract off 2. In the first row, it shows 0-2 after replacing x with 0. This leads to the result of -2 since 0-2 = -2.
In the second row, we have the input x = 2 turn x-2 into 2-2 = 0. So that's why 0 goes in the blank for the second row.
In the third row, we have x-2 = 3-2 = 1. So we'll have 3-2 go in the first blank of row 3, and the value 1 go in the second blank of this same row.
On a map, Breanne measured the distance (as the crow flies) between Los Angeles, California and San
Francisco, California at 2 inches. The scale on the map is 1/4 inch = 43 miles. What is the actual
straight-line distance between Los Angeles and San Francisco?
Answers
what is the probability that the red shows a six or the green die shows a six?
Answers
Answer:
11/36
Step-by-step explanation:
5) Find the area of the composite figure.
15
9 in
I ㅗ
20
3
A
then find the
Answers
Answer:
HOPE IT HELPS THANK ME LATER.
[tex] {a}^{2} {a}^{4} {a}^{5} answer \: a40 \: or \: a11 [/tex]
Answers
2+4+5 = 11
Pls mark as brainliest
PLEASE HELP I NEED THE VALUES OF M AND P!!!!!!!! WILL GIVE BRAINLIST!!!!
Answers
Answer:
m=5 and p=4
Step-by-step explanation:
5. David Read's the problem:
Ally bought a T-shirt and a pair of shorts on sale which
reduced prices by 1/4. The total savings on the 2
garments was $10.25. Find the original price for the
pair of shorts.
David says that the original price of the shorts was $41.
Does his answer seem reasonable? Defend your
answer by writing and solving an equation that
represents the situation.
Answers
Answer:
No, David's answer does not seem reasonable.
Let x= original purchase amount
25x = $10.25, so solve for x by dividing both sides by .25, and you get x = $41.
If the shirt was $18, the shorts must have been $41-$18 = $23 NOT $41.
Step-by-step explanation:
The radius of a quarter circle is 2 yards. What is the quarter circle's perimeter?
Answers
The perimeter (circumference) of a circle can be found with either c= πd or c=2πr
(The d is diameter)
you are working to save money for a trip you need to save 1500 you already saved $250 saved, and make $10 an hour at your job whites and solve an equation to represent how many hours, h, you need to work to make the rest of the money
Answers
Answer:
125 hrs
Step-by-step explanation:
1500-250=10h
simplify
1250=10h
divide both sides by 10
h=125
125 hrs
what is the approximate area of the circle below?
Answers
diameter is 16 so radius is 8
pi(8)^2
64pi is about 201
answer: 201 cm^2
HELPPPPP!!!!!!!!!!!!!!
Answers
Answer
0.75 or 3/4 is the answer (degree)
I just solved for the angles and use a graphing calculator to find the din and cosine values and multiply them
Does side lengths 4, 8 and 12 form a right triangle?
Answers
Answer:
No it does not form a triangle.
Step-by-step explanation:
If the lengths satisfy the Pythagorean Theorem (a2+b2=c2) then it is a right triangle.