Answer:
You already know how to simplify an expression like
7
(
4
x
+
3
)
, right? Just use the distributive property to multiply 7 times 4x and then 7 times 3. This gives you an answer of
28
x
+
21
. Pretty simple. But - What if you have something like this:
(
4
x
+
6
)
(
x
+
2
)
? That's where we use the FOIL method. FOIL means First, Outside, Inside, Last. That's not too hard to remember if you say it in your head a few times.
You use FOIL to multiply the terms inside the parenthesis in a specific order: first, outside, inside, last. Here's how to solve
(
4
x
+
6
)
(
x
+
2
)
:
First - multiply the first term in each set of parenthesis:
First
4
x
∗
x
=
4
x
2
Outside - multiply the two terms on the outside:
Outside
4
x
∗
2
=
8
x
Inside - multiply both of the inside terms:
Inside
6
∗
x
=
6
x
Last - multiply the last term in each set of parenthesis:
Last
6
∗
2
=
12
Now just add everything together to get
4
x
2
+
14
x
+
12
. This method only works easily with two binomials. To multiply something complicated like
(
4
x
+
6
)
(
5
x
−
3
)
(
15
−
x
)
, just do FOIL on two of the binomials and then distribute the answer onto the remaining binomial.
Here are some more examples of FOIL multiplication:
Example:
Multiply the following:
(
6
x
+
1
)
(
2
x
+
9
)
Solution:
Just follow the letters in FOIL:
First:
6
x
∗
2
x
=
12
x
2
Outside:
6
x
∗
9
=
54
x
.
Inside:
1
∗
2
x
=
2
x
.
Last:
1
∗
9
=
9
.
Sum it all up and you get:
12
x
2
+
56
x
+
9
.
Example:
Multiply the following:
(
2
x
−
5
)
(
x
−
4
)
Solution:
Just follow the letters in FOIL:
First:
2
x
∗
x
=
2
x
2
Outside:
2
x
∗
(
−
4
)
=
−
8
x
Inside:
−
5
∗
x
=
−
5
x
Last:
(
−
5
)
∗
(
−
4
)
=
20
Sum it all up and you get:
(
2
x
2
−
13
x
+
20
)
.
The FOIL method is not too difficult to learn once you remember what it stands for. Just repeat first, outside, inside, last and you'll remember it. Other than that, it's just a matter of multiplying each of those steps and adding everything together. Even if the numbers are really ugly with fractions and negative signs and such just follow the steps and the method will work.
Step-by-step explanation
Helpppppppppppppppppp ILL MARK YOU BRAINLIST PLZ
Answer:
Through pythogoras theorem
a^2+b^2=c^2
20^2+16^2=c^2
c^2=400+256
c^2= 656
c= square root of 656
c=25.6 inches or 30 inches
Missing side 25.6 inches or 30 inches
c^2 = a^2 + b^2
c^2 = 16^2 + 20^2
c^2 = 256 + 400
c^2 = 656
Now, square root both sides to find the missing length of c or the hypontenuse.
Answer: c = 25.6 inchesPLSSS HELP MEEEEEEEEE
Answer:
Ryan's raft
Step-by-step explanation:
Ryan's raft has greater rate of change
Tommy's auto mall needs to transport 108 cars. A moving truck can fit 7 cars on each bed. How many trucks does tommy need to relocate all his car? (Do it in long division)
Answer: 15 remainder 3.
Step-by-step explanation:
Write the repeating decimal $0.\overline{51}$ as a fully simplified fraction.
Answer:
17/33
Step-by-step explanation:
The repeating decimal [tex]$0.\overline{51}$[/tex] is equal to [tex]$\boxed{\frac{17}{33}}$[/tex].
What is a fraction?A fraction is a component of a whole. Mathematically, the number is expressed as a quotient, where the numerator and denominator are divided. In a simple fraction, both are integers. In a complex fraction, a fraction can be found in either the numerator or the denominator. A suitable fraction has a numerator that is smaller than its denominator.
Let [tex]$x = 0.\overline{51}$[/tex]. Multiplying both sides of this equation by 100 gives,
[tex]$100x = 51.\overline{51}\\[/tex]. Subtracting the first equation from the second equation eliminates the repeating decimal,
giving:
[tex]\begin1100x - x &= 51.\overline{51} - 0.\overline{51}\\ \99x &= 51 \\\ \\end[/tex]
x = 51/99
Therefore, the repeating decimal [tex]$0.\overline{51}$[/tex] is equal to [tex]$\boxed{\frac{17}{33}}$[/tex].
Learn more about fractions here:
https://brainly.com/question/10354322
#SPJ6
Michael read 135 pages in 90 minutes. Select all of the rates that have the same constant rate of change as Michael's rate. 180 pages in 2 hours 180 pages in 2 , hours 60 pages in 30 minutes 60 pages in 30 , minutes 108 pages in 212 hours 108 pages in 21 half , hours 150 pages in 1 hour 150 pages in 1 , hour 225 pages in 150 minutes 225 pages in 150, minutes 210 pages in 2 hour 20 minutes
Answer:
180 pages in 2 hours
225 pages in 150 minutes
210 pages in 2 hours 20 minutes
Step-by-step explanation:
135 pages : 90 minutes
= 135/90
= 3/2
= 3 : 2
180 pages : 2 hours
180 pages : 120 minutes
= 180/120
= 3/2
= 3:2
60 pages : 30 minutes
= 60/30
= 2/1
= 2:1
108 pages : 2 1/2 hours
108 pages : 180 minutes
= 108/180
= 18/30
= 3/5
= 3:5
150 pages : 1 hour
150 : 60
= 150/60
= 10/6
= 5/3
= 5:3
225 pages : 150 minutes
= 225/150
= 9/6
= 3/2
= 3:2
210 pages : 2 hours 20 minutes
210 pages : 140 minutes
= 210/140
= 3/2
= 3:2
what is the fraction of 2 1/4
Answer:
9/4
Step-by-step explanation:
2 1/4 = 9/4 From mixed fraction to an improper fraction: "the numerator of the improper fraction" = "denominator" xx "the whole number" + "the numerator of the mixed fraction" The denominator remains as it is. So 2 1/4 = (4 xx 2 + 1)/4 = 9/4
Answer:
9/4
Step-by-step explanation:
Multiply the denominator which is 4 by the whole number which is 2.
4 x 2 = 8
Next add the numerator to the 8.
8 + 1 = 9
The 9 is now the numerator and keep the original denominator.
9/4
Please Answer ASAP!!!!!!!!!!!!!!!!!!!!!!!
Find the area of a circle with radius 4ft.
Answer:
A=50.27
Step-by-step explanation:
I have a math question
Answer:
D. RS = DQ
Step-by-step explanation:
SSS = Side-side-side congruence criteria!
One is given, other is common, and we have RS=DQ
Answer/Step-by-step explanation:
According to the Side Side Side rule (SSS) Side RQ is congruent to side DS.
RQ ≅ DS.
This means that in order to complete the chart:
RS ≅ DQ
ill love you forever if you help me:)
Answer:
D
Step-by-step explanation: WONDERWALL RULES
Wonderwall
Song by Oasis
Today is gonna be the day
That they're gonna throw it back to you
By now you should've somehow
Realized what you gotta do
I don't believe that anybody
Feels the way I do about you now....Ye i cant type the whole song but i tried!!
subtract f from g, then subtract 4 from the result
Answer:
(g - f) - 4
Step-by-step explanation:
Subtract f from g = g - f
Subtract 4 from the result = (g- f) - 4
x^2+16x+63=0 enter the solutions from least to greatest
Find the perimeter??
Answer:
13 in
Step-by-step explanation:
just add all the numbers lol
Answer:
the perimeter of the triangle is 13[tex]in^{2}[/tex]
Step-by-step explanation:
All you have to do is add up all the sides together, but first we need to find a common denominator, and it can be 12
[tex]3\frac{1}{3}[/tex] = [tex]\frac{10}{3} = \frac{40}{12}[/tex] ( i multiplied them by 4 (numerator and denominator))
[tex]4\frac{1}{6} = \frac{25}{6} = \frac{50}{12}[/tex] ( i multiplied them by 2 (numerator and denominator))
[tex]5\frac{1}{2} = \frac{11}{2} = \frac{66}{12}[/tex] ( i multiplied them by 6 (numerator and denominator))
Now that you have a common denominator for all 3 fractions, you can now add them all up
[tex]\frac{40}{12} + \frac{50}{12} + \frac{66}{12}[/tex]
Now to add, the denominator has to stay the same (12), and add up all the numerators
[tex]\frac{40}{12} + \frac{50}{12} = \frac{90}{12} + \frac{66}{12} = \frac{156}{12} = 13 (simplified)[/tex]
Hope this helped!
help me, please math
Answer:
i think its c
Step-by-step explanation:
Stephanie ran three sprints during practice. Her first sprint was 175 yards, her second sprint was 150 yards, and her third sprint was 225 yards. What was the total distance that Stephanie sprinted?
Answer:
Stephanie sprinted 550 yards.
Step-by-step explanation:
Given that,
Stephanie ran three sprints during practice.
Her first sprint was 175 yards, her second sprint was 150 yards, and her third sprint was 225 yards.
We need to find the total distance that Stephanie sprinted. It is simply equal to the sum of all above sprints.
Distance = 175 yards + 150 yards + 225 yards
= 550 yards
Hence, Stephanie sprinted 550 yards.
Line p intersects line a and b. a b. By which theorem is a1 ≈ a8
PLEASE HELP!!
Answer:
option a
Step-by-step explanation:
alternate exterior angle theorem
During the morning commute 60 cars and 12 trucks passed through the intersection. What is the ratio of cars to trucks?
Answer: 60:12, 60/12, or 60 to 12.
Step-by-step explanation:
To find the ratio, we must find 2 values. The values in this case is 60 and 12. 60 being cars and 12 being trucks.
So to write the ratio, we must put the cars first, then the trucks second.
So 60 first, and 12 second.
And remember, there are 3 ways to write ratios.
So we can write it like 60:12, 60/12, or 60 to 12.
The answers are 60:12, 60/12, or 60 to 12.
A bag contains 6 red, 8 black and 10 yellow identical beads, 2 beads are picked at random one after the other.find the probability that ;
a). With replacement
i). Both are red
ii). One is black and the other yellow
b). Without replacement
i). Both are red
ii). One is black and the other yellow
Answer:
a)i)1/16
ii)5/36
b)i)5/96
ii)20/69
Step-by-step explanation:
a) i) 6/24 =1/4
1/4*1/4=1/16
a)ii)8/24=1/3 10/24=5/12
1/3*5/12=5/36
b)i) 5/24*1/4=5/96
ii) 1/3*10/23=10/69
5/12*8/23=40/276=20/138=10/69
10/69+10/69=20/69
The probabilities are; 1/16, 5/36, 5/96 and 20/69
What is probability?Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur, or how likely it is that a proposition is true.
Given that, A bag contains 6 red, 8 black and 10 yellow identical beads, 2 beads are picked at random one after the other.
a) With replacement:
i) The probability that both will be red =
6/24 =1/4
1/4x1/4=1/16
ii) The probability of getting one black and a yellow =
8/24=1/3 10/24=5/12
1/3x5/12=5/36
b) Without replacement;
i) The probability of getting both red =
5/24x1/4 = 5/96
ii) The probability of getting one black and a yellow =
1/3x10/23 = 10/69
5/12x8/23 = 40/276 = 20/138 = 10/69
10/69+10/69 = 20/69
Hence, The probabilities are; 1/16, 5/36, 5/96 and 20/69
For more references on probability, click;
https://brainly.com/question/11234923
#SPJ2
A suitcase measures 21 inches by 16 inches. What is the length of the diagonal of the suitcase to the nearest tenth of an inch?
Answer:
Step-by-step explanation:
we have a rectangle that measure 21 inches by 16 inches
to find the rectangle(which is the hypotenuse) we will use Pythagorean theorem
c^=a^2+b^2
c^=21^2+16^2=697
c=[tex]\sqrt697}[/tex] =26.40 which rounded to the nearest tenth =26
Item 2 What is the value of the function at x=−2? y=−4 y = 0 y = 2 y = 3
Answer fast please!!!
Answer:
ok
Step-by-step explanation:
PLEASE HELP I HAVE TO TURN THIS IN SOON
In ∆XYZ, m∠X = 115°,m∠Y = 23°. What is m∠Z?
Answer:
X+Y+Z=180
115+23+Z=180
Z=180-115-23
Z=42°
Step-by-step explanation:
• Mrs. Alvarez rents skis and poles for 3 days.
What is the total cost of the rental?
• The total cost of the rental is $
The value that Mrs. Alvarez will pay depends on the rental value of the ski and the poles per day, for example $144.
How to calculate the total loan cost of Ski equipment?To know the total cost of the loan of the Ski equipment, we must know the loan price per day or per hour.
For example, suppose the loan price per hour is $2, then we would have to calculate how much one day is equivalent to and then multiply it by the total number of days.
$2 x 24 = $48
$48 x 3 = $144
Note: This question is incomplete because some information is missing. However I can answer it based on my general prior knowledge.
Learn more about ski in: https://brainly.com/question/5878485
Help In math pls this a slope problem
Answer:
D
Step-by-step explanation:
38=p−15
PLEASE HELP MEHHHHH
Answer:
p=23
Step-by-step explanation:
Answer:
P=23
Step-by-step explanation:
38-15=23
p=23
Hope this helps
Have a great day!
2.) Put these decimals in order from least to greatest:
2.03, 2.30, 32, 302, .032
NEWPA
This is least to greatest. ζόμπα
Answer:
.032 .302 .32 2.03 2.30
Step-by-step explanation:
The system shown is blank.
a.) inconsistent
b.) equivalent
c.) consistent
Answer:
I think it's consistent
Step-by-step explanation:
Evaluate the following expression 10+ 54/-6
The answer would just be 1
Hey there!
The answer to your question is [tex]1[/tex].
Let us start by dividing:
[tex]\frac{54}{-6} = -9[/tex]
Now, we do [tex]10 + -9[/tex], which is [tex]1[/tex].
Hope it helps and have a terrific day!!!
A teacher has 396 pieces of candy. If there are 44 students, 6 of whom are boys, if divided evenly, how many pieces of candy will each student get?
Answer:
9 pieces of candy.
Step-by-step explanation:
The information about how many boys there are is irrelevant, so we can just ignore that.
The important information is that the teacher has 396 pieces of candy and that it is split between 44 students equally.
So, to solve, we just do 396 / 44 = 9.
Therefore, each student will get 9 pieces of candy.
Choose the correct scientific notation of this number.
There are 5,280 feet in one mile.
Answer:
It's C
Step-by-step explanation:
Plzzzzzz help meeeeeee
Answer:
-10
Step-by-step explanation:
hope it helps
Answer:
blue point value is -10
Step-by-step explanation:
First lets find the difference between each point on the line,
The gap between 10 and 2 has 2 points
So 10 - 2 = 8 is the difference in value between point A(10) and point C(2), but we need to find difference between each point,
So 8/2 = 4 is the difference between each point from top to bottom.
There is 3 points after 2 to reach blue,
So 4 x 3 = 12, is the difference in value between point C(2) and point blue,
So, subtracting 12 from 2 will get us the value of blue, 2 - 12 = -10
Therefore the value of blue point is -10
Happy to help :)
