find product of :(2x-y)(2x+3y).
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
Hi, please help me with this question.
what is 45+46+47+ ... +53+54?
Answer:
245Step-by-step explanation:
1). 91 + 41 + 53 + 54 {Simplify}
2). 138 + 53 + 54 {Simplify}
3). 191 + 54 {Simplify}
4). 245 {Add}
9514 1404 393
Answer:
495
Step-by-step explanation:
There are several ways to figure this:
1) Multiply the average value by the number of numbers. The average number in an arithmetic sequence is the average of the first and last numbers in the sequence.
average = (54+45)/2 = 49.5
number of numbers = 54 -45 +1 = 10
Total = 49.5 · 10 = 495
__
2) Add the numbers pairwise. It works best to work toward the middle from the ends:
45 +54 = 99
46 +53 = 99
47 +52 = 99
48 +51 = 99
49 +50 = 99
Total = 5 · 99 = 495
__
3) Subtract the sum of numbers to 44 from the sum of numbers to 54.
The sum of numbers 1 to n is (n)(n+1)/2.
(54)(55)/2 -(44)(45)/2 = (27)(55) -(22)(45) = 1485 -990 = 495
__
4) Use a spreadsheet or calculator to add them. (see attached)
Need help ASAP pls thx
Answer:
the correct answer is 60 :)
[tex]\\ \sf\longmapsto RElative\:Frequency(Green)[/tex]
[tex]\\ \sf\longmapsto RF(Green)=\dfrac{28}{14+18+28}[/tex]
[tex]\\ \sf\longmapsto RF(Green)=\dfrac{28}{60}[/tex]
[tex]\\ \sf\longmapsto RF(Green)=\dfrac{7}{15}=0.46[/tex]
The x-intercept of the equation 2y + 3x = 6 is:
A. -3.
B. 3.
C. 2.
Answer:
C
Step-by-step explanation:
X intercept <=> y=0
Hence the x intercept is x=2
Simplify each
2. 2
— - —
5 3
3 3
— + —
4 8
With explanation please
Answer:
1) [tex] - \frac{4}{5} [/tex]
2) [tex] \frac{9}{8} [/tex]
Step-by-step explanation:
[tex] \frac{2}{5} - \frac{2}{3} = \frac{2 \times 3}{5 \times 3} = \frac{2 \times 5}{3 \times 5} = \frac{6}{15} - \frac{10}{15} [/tex]
[tex] \frac{6 - 10}{15} = - (10 - 6) = - 4[/tex]
[tex] = - \frac{4}{15} [/tex]
°■°■°■°■°■°■°■°■°■°
[tex] \frac{3}{4}+\frac{3}{8} [/tex]
[tex] \frac{6+3}{8} [/tex]
[tex] = \frac{9}{8} [/tex]
4341 was rounded to the nearest one.
what is the lower bound?
Answer:
Lower bound is 4340.5
Step-by-step explanation:
................
ILL MARK BRAINIEST IF YOU DO THIS CORRECTLY!!!
Answer:
C. $140
Step-by-step explanation:
Company C; $60 + ($20×4)
= 140
Answer:
Company C
Step-by-step explanation:
What is the solution of the equation?
-6x+5= 3-5x
Answer:
I think the answer is x = 2
Answer: 2
Step-by-step explanation:
-6x+5=3-5x
+5x +5x
-x +5=3
-5 -5
-x = -2
-2 -2
X=2
Please Answer ASAP
The first term of a GP is 1, the sum of the third and fifth term is 90. Find the
common ratio.
hence, the common ratio of the given G.P. is 3 or −3.
Answer:
common ratio is -3 or 3
Step-by-step explanation:
[tex]u_1=1\\\\u_3=u_1*r^2=r^2\\\\u_5=u_1*r^4=r^4\\\\r^2+r^4=90\\\\r^4+r^2-90=0\\\Delta=1+4*90=361=19^2\\\\r^2=\dfrac{-1-19}{2} =-10 (exclude\ a\ square\ is\ positive)\\or\\r^2=\dfrac{-1+19}{2}=9\\r^2-9=0\\(r-3)(r+3)=0\\So\ r=-3\ or\ r=3\\[/tex]
Ricky Bobby, Betty Sue, and Jo Ellen recently completed a 49 mile relay bike ride. Ricky Bobby rode seven more
miles than Betty Sue, and Jo Ellen rode twice as much as Ricky Bobby. How far did each person ride?
A restaurant divides its daily tips equally among 8 employees.
If the daily tips were $743.36, how much should each employee receive?
a
O $92.92
O $102.92
O$93.02
O $91.92
Answer:
Step-by-step explanation:
The daily tips were 743.36
8 people divided the money
Tips = 743.36 / 8 = 92.92
I can't explain how the others were obtained. The answer is A
I don’t get this how do these things work please explain
Answer:
Ok, so:
-The number of people who like tea are represented in the first column.
-The number of people who dislike tea are represented in the second column.
-The number of people who like coffee are represented in the first row.
-The number of people who dislike coffee are represented in the second row.
This works like a multiplication chart:
People who like tea and coffee are represented in the top left square. People who dislike tea and coffee are represented in the box that coordinates to T' and C' (If you find T' and C' and run your fingers along the column/row until they run into each other, you'll find it.) The same is true for other combinations.
At the bottom of the first column is the total number of people who like tea. At the right-most part of the first row, is the total number of people who like coffee.
(52 people like tea, 80 people were surveyed)
I hope this helps you understand, please ask any clarifying questions you need! : )
Answer this question and turn it in HERE or on paper in the TURN-IN BOX by Friday for +2 Practice points. 0, 1, 1, 2, 3, 5, 8,... What are the next three numbers? Explain!
Answer:
13, 24, and 34
Step-by-step explanation:
0, 1, 1, 2, 3, 5, 8, 13, 24, 34, . . .
0+ 1 = 1
1+ 1 = 2
2+ 1 = 3
3+ 2 = 5
5+ 3 = 8
8+ 5 = 13
13+ 8 = 24
24+ 13 = 34
start at 1, then add the number behind it to move forward one space. repeat process.
Skills Practice: convert the following fractions into decimals. You must show your
rk.
How can I turn 3/12 into a decimal?
why is the graph dashed line Rather than solid line?
Answer: Inqualities that use < and> with a line under them means solid line
Step-by-step explanation: whereas < and> by themselves is dashed
Many numbers in real life are very large or very small. For example the distance from the earth to the sun is about 93,000,000 miles and midth of human hair is about 0.007 cm.
Answer:
yes, you are telling right.
Given that tan x=5/12, what is the value of sin x + cos x?
Answer:
17/13
Step-by-step explanation:
the answer is in the image above
(
a. Find the distance around the park to the nearest yard.
39
The distance is about
yards.
b. A new path and a bridge are constructed from point Q to the midpoint M of PR Find QM to the nearest yard.
QM
yd
c. A man jogs from P to Q to M to R to Q and back to P at an average speed of 150 yards per minute. To the neare
long does it take him to travel the entire distance?
It takes about
minutes
Type here to con
We have that the distance around the park to the nearest yard,QM to the nearest yard and the Time of travel for man's jog is given respectively as
[tex]X=190yd[/tex][tex]QM=40yd[/tex][tex]T=1.5minutes.[/tex]From the Question we are told that
[tex]PQ=(50-10)=40\\\\QR=(80-10)70[/tex]
Generally the equation for the Resultant PR is mathematically given as
[tex]PR=\sqrt{PQ^2+QR^2}\\\\PR=\sqrt{70^2+40^2}\\\\PR=80yd[/tex]
a)
Generally the equation for the Distance around they park is mathematically given as
[tex]X=PQ+QR+PR\\\\X=80+70+40\\\\[/tex]
[tex]X=190yd[/tex]
b)
Generally the equation for the Path QM is mathematically given as
From the diagram we see that
[tex]QM=PM=MR\\\\QM=\frac{80}{2}\\\\[/tex]
[tex]QM=40yd[/tex]
c)
From the question we are told
Average speed of [tex]150yd/m[/tex]
Total distance traveled
[tex]D_t=40+40+40+70+40\\\\D_t=230yd[/tex]
Therefore
Time
[tex]T=\frac{D_t}{V}\\\\T=\frac{230}{150}[/tex]
[tex]T=1.5minutes.[/tex]
in conclusion
The distance around the park to the nearest yard,QM to the nearest yard and the Time of travel for man's jog is given respectively as
[tex]X=190yd[/tex][tex]QM=40yd[/tex][tex]T=1.5minutes.[/tex]For more information on this visit
https://brainly.com/question/15356513
Geno started to evaluate 90 – (18+-2)(-3), as shown. What should he do next?
Mark is mixing different color paints for a mural
he has been asked to paint in the school
gymnasium. To create the color purple he wants,
Mark mixes r gallons of red paint with b gallons of
blue paint. Red paint costs $25 per gallon and
blue paint costs $22 per gallon. He also needs $65
to spend on paint supplies.
Mark knows the cost of his paint and supplies can
be found using the expression
Answer:
25r+22b+65s
Step-by-step explanation:
ok so like uhh yea
What is the value of x in the triangle?
Answer:
A.
Step-by-step explanation:
Answer:
24 B
Step-by-step explanation:
12sqr(2)*sqr(2)=24
Because of 45'45'90 triangle rules
What’s 3.7 as a mixed number
Answer:
3.71 = (3.7 × 10)(1 × 10) = 3710.
Step-by-step explanation:
This fraction is alread reduced, We can't reduce it any further). As the numerator is greater than the denominator, we have an IMPROPER fraction, so we can also express it as a MIXED NUMBER, thus 3710 is also equal to 3710 when expressed as a mixed number.
HELP PLEASE
a rectangle room has an area of 400 square feet. the length is 7 feet less than twice the width. find the dimensions of the room.
Answer: 16 feet is the width and 25 is length
Step-by-step explanation:
x*(2x-7)=400
Word problem written in numerical form^^^^
Solve for x to get 16
length = 2(16)-7= 25
Check our work
16*25=400 yay
Solve for x. Then find the length of each side of the figure.
Answer:
x = 6 for Side 14 - 2x
x = 9 for Side 2x + 1
x = 11 for Side 3x - 1
Step-by-step explanation:
14 - 2x + 2x + 1 + 3x - 1 = 26
-2x + 2x + 3x - 1 + 1 + 14 = 26
3x + 14 + 1 - 1 = 26
3x + 14 = 26
-14 -14
-------------------
3x = 12
/3 /3
------------------
x = 4
Now, plug x = 4 into all the side expressions and find out their lengths.
Side 14 - 2x14 - 2x
= 14 - 2(4)
= 14 - 8
= 6
Side 2x + 12x + 1
= 2(4) + 1
= 8 + 1
= 9
Side 3x - 13x - 1
= 3(4) - 1
= 12 - 1
= 11
Add all the lengths you got and you will see the perimeter is indeed 26, which means our side lengths are correct.
6 + 9 + 11 = 26
26 = 26 CORRECT
F=ma find out f if m-26 and a-3 please help
Answer:
78
Step-by-step explanation:
26 + 26 + 26 = 78
Identify the distance, to the nearest tenth, between J(−3,4) and K(7,−9).
A. 1.5
B. 9.2
C. 16.4
D. 14.7
Answer: C. 16.4
Concept:
Here, we need to know the idea of the distance formula.
The distance formula is the formula, which is used to find the distance between any two points.
Distance = [tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
If you are still confused, please refer to the attachment below for a clear version of the formula.
Solve:
Given information
(x₁, y₁) = (-3, 4)
(x₂, y₂) = (7, -9)
Given expression
[tex]Distance =\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Substitute values into the expression
[tex]Distance =\sqrt{(7+3)^2+(-9-4)^2}[/tex]
Simplify value in the parentheses
[tex]Distance =\sqrt{(10)^2+(-13)^2}[/tex]
Simplify exponents
[tex]Distance =\sqrt{100+169}[/tex]
Simplify by addition
[tex]Distance =\sqrt{269}[/tex]
Convert square root to decimal and round the answer to the nearest tenth
[tex]\boxed{Distance=16.4}[/tex]
Hope this helps!! :)
Please let me know if you have any questions
What is the area of this figure?
5 yd
2 yd
2 yd
5 yd
3 yd
5 yd
4 yd
4 yd
Write your answer using decimals, if necessary.
square yards
PLS IT 11 points
the answer is 47yd²
hope it help n please give me brain.. thanks
Find the mean of 9, 10, 3, 9, 2, 3 graphically.
Answer:
18
Step-by-step explanation:
add all number and simply divide it by 2
What is 32,651.97 written in expanded form? PLease dont lie
Step-by-step explanation:
30000+2000+600+50+1+0.9+0.07
Concept:
First write ten thousands ,then thousands then hundred,then tens then ones then thenths then hundredths.
The line graph shows the cost of inflation in some country. What cost $10,000 in 1975 would cost the amount shown by the graph in subsequent years. Below are two mathematical models for the
lata shown in the graph. In each formula, C represents the cost x years after 1980 of what cost $10,000 in 1975.
Model 1 C = 840x +15,538
Model 2 C= -222 +900x + 14,204
Answer:
não sei nam mano foi mal ai
vei kskksksksk
Step-by-step explanation: