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
HELP FAST i have a lot to do and its all due on the 14 so pls help
3(3+4) blank 3³
What is the solution set for 6x−9=15, given the replacement set {0, 1, 2, 3, 4}?
What is the solution set for 6x−2=5x+3, given the replacement set {2, 3, 4, 5}?
What is the solution to this equation?
6+7(b−1)=5+b
Answer: 1. X=4
2. X=12
3. X=5
4. B=1
Step-by-step explanation:
Describe the relationship between the terms in each arithmetic sequence. Then
write the next three terms in each sequence. (Examples 1 and 2)
Answer:
(a) The sum of the previous term and 9
(b) 36, 45, 54
Step-by-step explanation:
Given
Sequence: Arithmetic Progression
[tex]0,9,18,27[/tex]
Solving (a): Describe the relationship in each term
First, we calculate the common difference (d)
In arithmetic progression:
[tex]d = T_n - T_{n-1}[/tex]
Take n as 2
[tex]d = T_2 - T_{2-1}[/tex]
[tex]d = T_2 - T_{1}[/tex]
Where
[tex]T_2 = 9\ and\ T_1 = 0[/tex]
[tex]d =9-0[/tex]
[tex]d =9[/tex]
The relationship is: The sum of the previous term and 9
Solving (b): The next three terms
As said in (a) each term is derived from a sum of 9 and the previous term
So, we have:
[tex]Next\ Term = 27 + 9 = 36[/tex]
[tex]Next = 36 + 9 = 45[/tex]
[tex]Next = 45 + 9 = 54[/tex]
Hence, the next three terms are: 36, 45 and 54
Help !! Answer please
Answer:
4
Step-by-step explanation:
Is 2x + 3 +7x equivalent to the expression 2(x+3) + 7x?
Answer:
No
Step-by-step explanation:
because if you use distribution on 2(x+3)+7x it gives you 2x+6=7x which does not equal 2x+3+7x
math , help plss thnx
Answer:
The answer is
[tex]y = \frac{1}{4} x - 2[/tex]
Step-by-step explanation:
Remmeber:
[tex]Slope = \frac{rise}{run} [/tex]
Mrs . Kerr is going to pack 9 carrots, 12 crackers, and 18 grapes into lunch boxes. How many of each food item will be in a lunch box if she pack the into the greatest number of identical lunch boxes
Answer:
3 carrots, 4 crackers, and 6 grapes.
Step-by-step explanation:
The greatest common factor of 9, 12, and 18 is 3, so we know that we can make at most 3 identical lunchboxes. Now we have to divide each number by 3 to figure out how much of each item is in each lunchbox. 9/3=3, 12/3=4, and 18/3=6 so there will be 3 carrots, 4 crackers, and 6 grapes in each lunchbox.
Hurry up please I have 27 minutes to anwser 25 guestions
Answer:
C. The relationship between the quantities is: add 25.
Step-by-step explanation:
1x = 25y,
2x = 25 + 25 = 50y
3x = 50 + 25 = 75y
4x = 75 + 25 = 100y
Note:
As you can see, every time the number goes up on the chart, it goes up by 25 and you can find that out by just simply adding 25 to the first number and seeing if it matches up with the next, (which I did above).
Simplify the expression below:
3(6y - 2x)
Answer:
18y-6x
Step-by-step explanation:
Multiply what is inside the brackets by what is outside, in this case 3.
Find X. Round to the nearest tenth. x=?°
Answer:
32°
Step-by-step explanation:
sin 75° = x
22 12
0.965925 = x
22 12
22x = 11.5911
x = 0.526
[tex]sin^{-1}[/tex] (.526) = 31.7
Answer:
31.8
Step-by-step explanation:
2 + 1/6x = -4 *
Plz, Help me with this!
Answer: x=-36
2+1/6x=-4
-2 -2
1/6x=-6
*6 *6
x=-36
I hope this helps:
what is the perimeter of nadia 's square
Answer:
Part A: 100
Part B: 625
Step-by-step explanation:
Part A equation: 25 x 4 = 100
Part B equation: 25 x 25 = 625
What is the slope of a line perpendicular to the line whose equation is 2x+10y=20. Fully reduce your answer.
Answer:
m=5
Step-by-step explanation:
2x+10y=20
10y=-2x+20
y=-1/5x+2
slope of this line=-1/5
(replace the denominator by the nominator and the nominator by the denominator and change the sign to the opposite one negative to positive)
slope of perpendicular line=5
What is JL ? KM=12
JM=16
Answer:
D. 25
Step-by-step explanation:
By geometric mean property:
[tex] {(12)}^{2} = LM\times JM \\ \\ 144 = LM\times16 \\ \\ LM = \frac{144}{16} \\ \\ LM = 9 \\ \\ [/tex]
JL = JM + LM = 16 + 9 = 25
Harold opened a credit card at a department store with an APR of 14.55% compounded monthly. What is the APY on this credit card?
Answer:
the APY on this credit card is 15.56%
Step-by-step explanation:
The computation of the APY is as followS:
The nominal monthly rate is
= 0.1455 ÷ 12
= 0.012125
Now
real annual rate= [(1 + Nominal monthly rate)^number of months] - 1
= [(1.0.12125^12) - 1]
= 15.56%
Hence, the APY on this credit card is 15.56%
The same is considered by applying the given formula
(-3, -7). 1/7 what is the equation in point slope form
Answer:
y+7 = 1/7(x+3)
Step-by-step explanation:
Point slope form of a line is given by
y-y1 = m(x-x1)
where m is the slope and (x1,y1) is a point on the line
(y - -7) = 1/7(x - -3)
y+7 = 1/7(x+3)
15 * 15 is?
YYYYYYYYYYYYYYYYYYYYYYY
Answer:
225 I just checked tell me if you're right
Answer:
15*15 = 225
15*15 is the same as [tex]15^{2}[/tex]
if you wanted to sit there you could add 15 with itself 15 times and you'd get 225.
no matter how ya do it, 15 *15 is 225
Step-by-step explanation:
What is the measure of Angle HEG?
Answer:
angle HEG = 12 degrees
Step-by-step explanation:
A line is 180 degrees. Since there is a right angle there, you know that angleHEG and 78 added together is 90degrees
x + 78 = 90 >> subtract 78 from both sides
x = 12
angle HEG = 12 degrees
Answer:
18 degrees
Step-by-step explanation:
There is a little box on the left that indicates both angles together make a 90 degree angle so you just have to do 90 - 78 to get the answer.
Translate the figure 7 units right and 3 units down.
Plot all of the points of the translated figure.
Name
4.
Banl
two
Line m is the perpendicular bisector of AB and
intersects the segment at point P. Which
statement is true?
(A)
© AP = 2 AB
PA & BP
(В)
AB = AP
BP = 2 AB
Answer:
a)
Step-by-step explanation:
PA ≅ BP
Perpendicular bisector means it divides the line into two equal part at 90°
y = x + 2
y = 2x - 5
what is x and y
Answer:
x= 7 y= 9 (7,9)
Step-by-step explanation:
solve by using system if equations. multiply top answer by 2, giving u 2y=2x+4 and y=2x-5 subtract the equations. y=9 (the x cancels out) then put 9 in for y. 9=x+2. subtract 2. giving u 7. and now x =7
wut anime do u guys watch comment down below and you'll get brainliest as well 2x2 just in case it would deleted i will also put math equations 2x3x4x5
If a necklace has a 10% increase so its £154 pound what was the price before the increase.
If a triangle has three sides with the lengths 20, 16, and 12, what are the angles?
Answer:
angle a = 53.13°
angle b = 36.87°
angle c = 90°
Step-by-step explanation:
The following is one way to perform the calculation. It may not be the best way.
Calculates ∠A, ∠B, ∠C based on given a, b and c.
∠A = arccos( b2 + c2 - a2 2bc )
= 0.9273 rad = 53.13° = 53.13°
∠B = arccos(a2 + c2 - b2 2ac )
= 0.6435 rad = 36.87° = 36.87°
∠C = arccos(a2 + b2 - c2 2ab )
= 1.5708 rad = π/2 = 90°
Which statement about this product is true? 0.44×(−5 3/4)
It is equal to 0 because 0.44 rounded to the nearest whole number is 0, and 0 times any number is 0.
It is equal to −534 because 44 is equal to 1, and 1 times any number equals that number.
It is greater than −3 because 0.44×534 is less than 12×6.
It is less than −534 because multiplying by a number less than 1 gives a smaller number.
Answer:
A.)
Step-by-step explanation:
i don’t kno the answer help
Answer:
Yes
Step-by-step explanation:
It is true because the equation would be 1 is less than or equal to 3-(-4)
4+1/4 x + 3 = 10 pls help me
Answer:
= 1 2
Step-by-step explanation:
Combine multiplied terms into a single fraction
Multiply by 1
Add the numbers
Subtract 7 from both sides of the equation then Simplify
I need help:
Justin has a roll of tape 549 centimeters long. he cuts the tape into pieces that are 9 centimeters long. How many 9 centmeter pieces can Justin cut from his roll of tape?
Answer: 61
Step-by-step explanation: My Teacher told me is Right
The number of the 9-centimeter long tape will be 61. The correct option is C.
What is division?Discovering the maximum number of equal pieces that can be made by splitting an integer into equal parts.
One of the four fundamental arithmetic operations, or how numbers are combined to create new numbers, is division. The other operations are multiplication, addition, and subtraction.
Given that Justin has a roll of tape 549 centimeters long. he cuts the tape into pieces that are 9 centimeters long.
The number of 9 centimeters tapes will be calculated as below:-
Number = 549 / 9
Number = 61
Therefore, the number of the 9-centimeter long tape will be 61. The correct option is C.
To know more about division follow
https://brainly.com/question/25289437
#SPJ2
CAN ANYBODY GOOD WITH MATH HELP ME OUT PLEASE.
Answer:
Just put the money divided by the percent in a calculator-
Step-by-step explanation:
:/
Find the measure of angle A
Answer:
it is 60 of right angle
Step-by-step explanation:
there
PLZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZ HELPPPPPPPPPPP MEEEEEEEEEEE
The table below shows measurement conversions between cups and ounces.
1 .Let x represent the number of cups and y represent the number of ounces. Write an equation that represents this relationship.
Answer: y = 8x
3 x 8 = 24
5 x 8 = 40
8 x 8 = 64