Answer: 4x² + 4xy - 3y²
Concept:
When encountering questions that ask for simplifying algebraic expressions, using the FOIL method would be easier:
First, which means multiplying the first terms together;Outer, which means that we multiply the outermost terms when the binomials are placed side by side;Inner, which means multiply the innermost terms together;Last, which means that we multiply the last term in each binomial together.Solve:
Given
(2x - y) (2x + 3y)
Expand parentheses and apply the FOIL method
=4x² + 6xy - 2xy - 3y²
Combine like terms
=4x² + (6xy - 2xy) - 3y²
=[tex]\boxed{4x^2+4xy-3y^2}[/tex]
Hope this helps!! :)
Please let me know if you have any questions
1. Which of the following is an example of like
terms?
a. - 16 and - 16x
b. x and x2
C, 50y and y
d. 20a and 2
I own the collector’s edition of my favorite Pokemon card. It used to be worth $120 USD. Now it is worth $150 USD.
What is the percent change?
Answer:
By 25%
Step-by-step explanation:
150-120=30 30/120=1/4 1/4=25%
Check:
120x.25=30 30+120=150
Hope this helps
Whats ur favortie pokemon? (:
100 POINTS PLEASE HELP!!!!
Answer:
a. F=1.8c + 32
b. 71.6 degrees Fahrenheit
c. c=(F-32)/1.8
d. 28.3 degrees Celcius
Step-by-step explanation:
a. Given the two data points we can create an equation in slope-intercept form.
The y-intercept is 32
Slope can be found by doing 212-32/100-0 = 180/100 = 1.8
F=1.8c + 32
b. We can use this formula to solve for Fahrenheit
F=1.8(22)+32
F=71.6 degrees
c. Isolate c
F-32=1.8c
(F-32)/1.8=c
d. We can use this formula to solve for Celcius
(83-32)/1.8=c
c= 28.3333333 degrees
We can round that to 28.3 degrees Celcius
Answer:
a)F =1.8C +32
b) f(22) = 68 F
c) C = 5/9F -17 7/9
d) 28.3
slope= 5/9
B= -17 7/9
Step-by-step explanation:
x1 y1 x2 y2
0 32 100 212
(Y2-Y1) (212)-(32)= 180 ΔY 180
(X2-X1) (100)-(0)= 100 ΔX 100
slope= 1 4/5
B= 32
Y =1.8X +32
Please give answer to the problem.
Alvin's age is two times Elga's age. The sum of their ages is 81 . What is Elga's age?
Answer:
Elga is 27 years old
Step-by-step explanation:
AGE 27
Alvin 2x
Elga x
x+2x = 81
81=3x
81/3=x
x=27
Hope this helps! (:
Answer:
Elga's age is 27.Step-by-step explanation:
x + 2x = 813x ÷ 3 = 81 ÷ 3x = 27Checking:27 + 2(27) = 8181 = 81[tex]\tt{ \green{P} \orange{s} \red{y} \blue{x} \pink{c} \purple{h} \green{i} e}[/tex]
What’s A= a+b divided by 2
Step-by-step explanation:
A=a+b/2
2×A=a+b
2A=a+b
2a-a=b
a=b
hope it helps
Answer:
A=2
and B=2
Step-by-step explanation:
If you add two plus two you get four, and divided by two you get 2.
The temperature at 4:00 p.m. was -6 °C, and then it fell by 7 °C. Which expression represents the new temperature? .
Proteins consist of monomers of glucose bonded together in a variety of ways and can function as energy, enzymes, and transport.
Proteins function as storage, movement, and defense and are diverse due to the arrangement of the nucleic acids.
Solve. 4x + 3 = 47
A x= 11 B x=40 C x=44 D x=50
Answer:
x=11
Step-by-step explanation:
X. X. X =
Rewrite expression with one exponent.
Answer: x^3
Step-by-step explanation:
Please help fast elementary school all questions
Write the highlighted digit's place and value.
3. 567; ones place 4. 6,327; thousandth place
5. 9,325; hundredth place 6. 8,281; tenth place
Write each number in standard form.
7. 5,000 + 500 + 3; 5,503 8. 2,000 + 300 + 20 + 9; 2,329
9. 4,000 + 600 + 8; 4,608 9. 9,000 + 300 + 70 + 2; 9,372
11. 1,221
We know Sierra has the same numbers in the thousandth and ones place, so keep does numbers: 1,?2?
It also has two more hundreds and 3 fewer ones place: Take the original number; 1,024 (Make sure you keep the numbers) into a equation; (1024+200)-3. First Add as it's in the ( ), then subtract, 1,221
I hope I've helped!
Answer:
#3. ones place. #4. thousands place.#5. hundreds place. #6. tens place. #7. 5,503. #8. 2,329. #9. 4,608. #10. 9,372.
Step-by-step explanation:
#11.sierras seat number 1,221
55 points. Please help fast. Fastest one (must be correct too) will get brainliest.
Answer:
Uhh I think some information is missing I am not sure tho
Prove this
1-tan^2x/1+tan^2x=cos^2x-sin^2x
Answer:
see explanation
Step-by-step explanation:
Using the identity
tan x = [tex]\frac{sinx}{cosx}[/tex]
Consider the left side
[tex]\frac{1-tan^2x}{1+tan^2x}[/tex]
= [tex]\frac{1-\frac{sin^2x}{cos^2x} }{1+\frac{sin^2x}{cos^2x} }[/tex] ( multiply numerator and denominator by cos²x to clear fractions
= [tex]\frac{cos^2x-sin^2x}{cos^2x+sin^2x}[/tex] ← ( cos²x + sin²x = 1 ]
= cos²x - sin²x
= right side , thus proven
ANY ONE HELP ME ASNWER THIS QUESTION
Find the value of 'x' in the following diagram:
the number 2 answer the 2nd one
Answer:
Question 2
180=2x+3x
180=5x
36=x
Answer:
[tex]than k \: you[/tex]
c = 8 π a b will give brainliest and 30 points
Answer:
2nd option
Step-by-step explanation:
Given
c = 8πab ( isolate a by dividing both sides by 8πb
[tex]\frac{c}{8\pi b}[/tex] = a
Change the following fraction to a decimal. 8 4/5 = ?
Answer:
The answer is 8.8
Step-by-step explanation:
4/5 x 20/20 = 80/100
80/100 = .8
Step-by-step explanation:
[tex]8 + \frac{4}{5} = \frac{40 + 4}{5} \\ = \frac{44}{5} = 8.8 \\ thank \: you[/tex]
100 points
Kala has scored 18, 22, 19, and 26 points in her four basketball games so far. How many
points does she need to score in her next game so that her average (mean) is 21 points per
game?
Answer:
Kala must score 20 points in her fifth game.
Step-by-step explanation:
The mean or average of a set is given by:
[tex]\displaystyle \overline{x} = \frac{\text{sum of data values}}{\text{number of data values}}[/tex]
(Note: the symbol used to denote the mean is known as "x-bar.")
We want to find the points (let the unknown value be a) Kala needs to score in her fifth game such that her average score is 21 points per game.
In other words, her total score so far plus a all over five (five games in total) must equal 21:
[tex]\displaystyle (21) = \frac{(18) + (22) + (19) + (26) + a}{5}[/tex]
Solve for a. Multiply and combine like terms:
[tex]\displaystyle 105 = 85 + a[/tex]
Subtract. Hence:
[tex]a = 20 \text{ points}[/tex]
In conclusion, Kala must score 20 points in her fifth game.
Answer:
Answer :-
We know that
Average = Sum of observation/Total observation
Let the unknown observation be x
18 + 22 + 19 + 26 + x/5 = 21
85 + x/5 = 21
85 + x = 21 × 5
85 + x = 105
x = 105 - 85
x = 20
please help me I am stuck on this question
Answer:
(a) $3.00
(b)(i) $33.00
(b)(ii) $322.50
Step-by-step explanation:
(a)
100% = $20.00
1% = 100%/100 = 20/100 = $0.20
15% = 1%×15 = 0.2×15 = $3.00
so, he actually has to pay $20 + $3 = $23 per toaster.
or shorter and direct, since we calculate the extra 15% based on the original 100%, we can say he has to pay 115% of the basic price.
115% = 0.2×115 or = 100%×1.15 = 20×1.15
0.2 × 115 = $23
20 × 1.15 = $23
so, you can see the several ways to get to the result.
in any case, the profit is $26-$23 = $3 per toaster.
(b)(i)
100% new price = 100% old price + 20% = 120% old price
or 100% old price × 1.2
100% new price per toaster = 20×1.2 = $24.00
the new tax is increased TO 25% (not by 25%) be careful to see that detail.
so, we need to add 25% of the new price.
125% new price = 24×1.25 = $30.00
so, in order to make again $3 profit, the customer has to pay now $30+$3 = $33.00
(b)(ii)
100% (b)(i) selling price = $33.00
30% more means 130% of that, or 1.3×100%
33×1.3 = $42.90
so, the profit per toaster is now 42.90 - 30 = $12.90
when selling 25 of these toasters the profit is then
25×12.90 = $322.50
Find the equation of the circle
(x + 2)2 + (y + 5)2 = 4
tve
when it is reflected about y = 2x + 1.
Answer:
2x+4+2y+10=4
2x+2y=4-10-4
2(x+y)=-10
x+y=-10/2
x+y=-5
x+2x+1=-5
3x=-6
x=-6/3
x=-2
oh my god help plssss ima rage
Answer:
d
Step-by-step explanation:
did i do it correctly if i didnt can u please answer it correctly and tell me how u did it
Answer:
You have done it wrong.
Step-by-step explanation:
4 3/7 - 5/7 = 3 5/7
We can change the equation to a improper fraction first.
4 3/7 = 4*7+3 = 31/7
31-5 = 26
Therefore the answer is 26/7.
simplify
The answer is equal to 26/7, or 21/7 + 5/7
Which is 3 5/7
Sorry but you did it wrong...
First you gonna make 4[tex]\frac{3}{7}[/tex] become 3[tex]\frac{10}{7}[/tex] ( 4 -> 3 [tex]\frac{7}{7}[/tex] - *you need to make it become the same denominator)
Lets do it: 3[tex]\frac{10}{7}[/tex] - [tex]\frac{5}{7}[/tex] = ...
Because in [tex]\frac{5}{7}[/tex] doesn't have a whole number so you will still keep 3
3[tex]\frac{10}{7}[/tex] - [tex]\frac{5}{7}[/tex] = 3.....
Next, you gonna subtract [tex]\frac{10}{7}[/tex] - [tex]\frac{5}{7}[/tex] = [tex]\frac{10-5}{7}[/tex] = [tex]\frac{5}{7}[/tex]
3[tex]\frac{10}{7}[/tex] - [tex]\frac{5}{7}[/tex] = 3[tex]\frac{5}{7}[/tex]
SO the answer for 4[tex]\frac{3}{7}[/tex] - [tex]\frac{5}{7}[/tex] is 3[tex]\frac{5}{7}[/tex]
Hope it helps, Studywell!
When is ignorance delightful
Answer:
Ignorance, or a lack of knowledge, isn't usually viewed as a good thing. However, there may be situations when you're happier not knowing the truth. A common expression used to describe these situations is “Ignorance is bliss.” This phrase is an idiom, which is means that it isn't meant to be taken literally.
I am super late
c. Draw the rotation of Pentagon ABCDE around C clockwise by an angle of 150
degrees. Tracing paper and a protractor may be useful.
E
D
B
-
Evaluate the Expression (y+2)2 when y = -4
Answer:
4
Step-by-step explanation:
(y+2)^2
Let y = -4
(-4+2)^2
Parentheses first
(-2)^2
Exponents
4
Answer:
-4
Step-by-step explanation:
y = -4
Substituting y in the equation,
(-4+2)2
(-2)2 [Negative x Positive = Negative]
=> -4
URGENT ! HELP ME I WILL MARK BRAINLIEST !!
please faster !!!!
Step-by-step explanation:
230m...................
Answer: so the answer would actually b
Step-by-step explanation:
(10-1)(10-2)(10-3)(10-10)
Answer:
0
Step-by-step explanation:
9 × 8 × 7 × 0
anything that is multiplied by 0 equals to 0
Find the probability of “landing” in the shaded region of the figures below. Round your answer to the nearest hundredth.
3. Square with side length 40 ft
Answer:
Area of the square:
A = a² = 40² = 1600 ft²Area of the circle:
A = πr² = 3.14*(40/2)² = 1256 ft²Probability of landing in the shaded region:
P = 1256/1600 = 0.785 or 78.5%Answer:
78.5%
Step-by-step explanation:
We can find the area of both shapes then divide to find the probability.
Square area:
40 * 40 = 1600ft²
Circle area with diameter [ 1/4πd² ]:
1/4π(40)²
1/4π(1600)
0.785(1600)
1,256
Now divide both areas to find the probability.
1256/1600 = 0.785
0.785 * 100% = 78.5%
Best of Luck!
please please help me it's for my homework
Answer:
6/25
Step-by-step explanation:
.24 = 24/100 = 6/25
Answer:
6/25
Step-by-step explanation:
step 1 The decimal number = 0.24
step 2 Write it as a fraction
0.24/1
step 3 Multiply 100 to both numerator & denominator
(0.24 x 100)/(1 x 100) = 24/100
It can be written as 24% = 24/100 or 24/100
step 4 To simplify 24/100 to its lowest terms, find LCM (Least Common Multiple) for 24 & 100.
4 is the LCM for 24 & 100
step 5 divide numerator & denominator by 4
24/100 = (24 / 4) / (100 / 4)
= 6/25
6/25 is a simplest fraction for the decimal point number 0.24
A number is between 17 and 22. It has prime factors of 2, and 5. What is the number?
Answer:
20
Step-by-step explanation:
20 fits all of the requirements.
It is between 17 and 22.
2 and 5 are two of its factors.
I hope this helps!
pls ❤ and mark brainliest pls!
Answer:
20
....................
Given h(x) = 4x – 5, solve for a when h(x) = 7.
h(x)=4x-5
[tex]\\ \sf\longmapsto h(7)[/tex]
[tex]\\ \sf\longmapsto 4(7)-5[/tex]
[tex]\\ \sf\longmapsto 28-5[/tex]
[tex]\\ \sf\longmapsto 23[/tex]
Answer:
23
Step-by-step explanation:
h(7)= 4(7) - 5
h(7)= 28 - 5
h(7)= 23
FACTORIZA COMPLETAMENTE LA SIGUIENTE EXPRESION ALGEBRAICA.
1 - n6 =
Answer:
-(n -1)(n^2 + n + 1)(n + 1)(n^2 - n + 1).
Step-by-step explanation:
1 - n^6 = (1 - n^3)(1 + n^3)
1 - n^3 = -(n -1)(n^2 + n + 1) and
1 + n^3 = (n + 1)(n^2 - n + 1)
So Substituting we have:
-(n -1)(n^2 + n + 1)(n + 1)(n^2 - n + 1)