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
_____________________________________
Answer:what is this
Step-by-step explanation:
Find the measure of each missing angle.
Answer:
m< 3 = 180 - 93
m< 3 = 87 degrees
m< 4 = 180 - 87 - 49
m< 4 = 44 degrees
m< 2 is vertically opposite to the 49 degree angle given
m< 2 = 49 degrees
m< 1 = 180- 68 - 49
m< 1 = 63 degrees
The measure of each missing angle are; m< 1 = 63, m< 2 = 49, m< 3 = 87 and m< 4 = 44 degrees
What are vertically opposite angles?The vertically opposite angles are those angles that are opposite one another at a specific vertex and are created by two straight intersecting lines.
We can determine angle 3 as;
m< 3 = 180 - 93
m< 3 = 87 degrees
Also,
m< 4 = 180 - 87 - 49
m< 4 = 44 degrees
We can see that m< 2 is equal to 49-degree angle by a vertically opposite angle.
m< 2 = 49 degrees
m< 1 = 180- 68 - 49
m< 1 = 63 degrees
Hence, the measure of each missing angle are; m< 1 = 63, m< 2 = 49, m< 3 = 87 and m< 4 = 44 degrees
Learn more about vertically opposite angles;
https://brainly.com/question/18045519
#SPJ2
Evaluate −12(−2). (1 point) a 14 b −14 c −24 d 24
Answer:
d.24
Step-by-step explanation:
12*2=24 and a negative times a negative always equals a positive.
What is the surface area of the cylinder with height 5 yd and radius 7 yd?
Answer:
168*pi square yards.
Step-by-step explanation:
So, first the surface area of a cylinder is the sum of the two circles plus the rectangle forming the column.
The area of the column is the height x perimeter of the circle
and
The area of the circles is pi x radius^2
Just add all of those up.
Column: 5 * 2 * pi * 7 = height * 2pi * radius = 70*pi
2 x Circle = 2 x pi * 7^2 = 2x49*pi = 98*pi
Sum: 70*pi + 98*pi = 168* pi
Solving One Step Equations. SHOW YOUR WORK
-143 = -11x solve to find x
Step-by-step explanation:
-143 = -11x : Original problem
[tex]\frac{-143}{-11}[/tex] = [tex]\frac{-11x}{-11}[/tex] : Isolating the variable
13 = x : Simplification (Note: when you divide a negative number by a negative number, the answer is positive)
Answer: x=13
Hope this helps!!!
crash my math class
i will put the link in the comment section. half of it in one comment and the other one in the next comment.
my class ends at 11:30 so hurry!!
Answer:
ok
Step-by-step explanation:
Answer:
didn't work
Step-by-step explanation:
what is the soulution to the equation 13 3/4+x=7 1/4
Step-by-step explanation:
[tex]13 \frac{3}{4 } + x = 7 \frac{1}{4} [/tex]
[tex] \frac{55}{4} + x = \frac{29}{4} [/tex]
[tex]x = \frac{29}{4} - \frac{55}{4} [/tex]
[tex]x = - \frac{13}{2} [/tex]
There are three consecutive integers, such that six times the first, minus two times the second, equals the third integer plus five. What is the first integer described? Will give Brainliest!!!!!!!!!!!!
Answer:
3
Step-by-step explanation:
Given that:
Integers : x, x + 1, x + 2
6x - 2(x + 1) = (x+2) + 5
6x - 2x - 2 = x + 2 + 5
4x - 2 = x + 7
4x - x = 7 + 2
3x = 9
x = 9/3
x = 3
First integer = x = 3
2nd integer = x + 1 = 3+1 = 4
3rd Integer = x + 1 + 1 = 3 + 2 = 5
Write the rule to describe the transformation.
C(4,-5), D(3,-1), E(5,-3)
C'(2,-2.5), D'(1.5, -0.5), E' (2.5,-1.5)
Answer:
(x, y) ----> (x - 2, y + 2.5)
This is the rule because a letter with an apostrophe is the image after. If it has no apostophre, it is the PRE-IMAGE. Let's look at C.
C (4, -5)
C'(2, -2.5)
4-2 = 2
-5+2.5 = -2.5
Since those are the coordinates of C', that is your rule.
At aa car dealership, for every 4 silver cars that are sold, 6 red cards are also sold. If 90 cars. Total are sold in a month, how many silver cars were sold?
Answer: 36
Step-by-step explanation:
From the question, we are informed that for every 4 silver cars that are sold, 6 red cards are also sold.
When there are 90 cars sold in a month, the number of silver cars that were sold would be:
= [4 / (4 + 6)] × 90
= 4/10 × 90
= 4 × 9
= 36 silver cars
(GIVING BRAINILEST) The dot plots show the number of crackers per box for two different brands Which of he following statements is correct
Answer:
A
Step-by-step explanation:
Answer:
The mean for brand B is lower than the mean for brand A.
Step-by-step explanation:
Test appoved
Solve the radical equation. Quick !!! Show work !
-26x + 3 = -18
Answer:
12
Step-by-step explanation:
[tex]-2\sqrt{6x+3} = -18[/tex]
divide both sides by negative 2
[tex]\sqrt{6x+3} = 9[/tex]
square both sides
6x+3=81
6x=78
x=12
Paige's sock drawer has 3 pairs of black socks, 6 pairs of green socks,
and 1 pair of white socks. If she picks a pair at random, what is the
probability she will pick a green pair?*
1/10
2/5
3/10
O 3/5
Answer:
3/5
Step-by-step explanation:
3 + 6 + 1 = 10
6 green, 6/10
3/5
Answer:
3/5
Step-by-step explanation:
A student examines the triangle shown above. He notices that lines BE andCD look parallel. The student claims that they are parallel by look aLone ?
Please answer the question, i took a picture of it.
Answer:
640 is the Answer
Step-by-step explanation:
Answer:
1360 square inches
Step-by-step explanation:
So to find area, you do bh
b is base
h is height
The base the of the rectangle going vertical in the plus sign is first.
The base is 20 and the height is 44
20 times 44 yields 880
then the two rectangles on either side of the bigger rectangle.
20 is the height, 12 is the base.
20 times 12 yields 240
there are two of those rectangles so
240 times 2 yields 480
480 plus 880 yields 1360
Write an equation in point slope form for the line through the given point with the given slope.
(-7, 9); m: 4/5
A. y+7=4/5(x-9)
B. y-7=4/5(x+9)
C. y-9=4/5(x-7)
D. y+9=4/5(x-7)
❤︎
Answer:
Ans C
m=4/5
X1= -7
Y1 = 9
Y-Y1=m(X-X1)
Y-9=4/5(X-(-7))
Y-9=4/5(X+7)
Find mZ1 and mZ2 .
I cant figure it out
Answer:
∠ 1 = 110°, ∠ 2 = 70°
Step-by-step explanation:
∠ 1 and 110° are vertical angles and are congruent, thus
∠ 1 = 110°
∠ 1 and ∠ 2 are same- side interior angles and supplementary, sum to 180°
∠ 1 + ∠ 2 = 180°
110° + ∠ 2 = 180° ( subtract 110° from both sides )
∠ 2 = 70°
given the function f(x)=x^2+5,evaluate f(-10)
Answer:105
Step-by-step explanation:
answers for the 2 boxes please :)
Suppose that 18 inches of wire costs 72 cents.
At the same rate, how much (in cents) will 14 inches of wire cost?
Answer:
[tex]56[/tex] cents
Step-by-step explanation:
If [tex]18[/tex] inches of wire cost [tex]72[/tex] cents, then each inch of wire will cost [tex]\frac{72}{18}=4[/tex] cents. Therefore, 14 inches of wire will cost [tex]14*4=56[/tex] cents. Hope this helps!
Answer:
56 cents
Step-by-step explanation: 72 cents divided by 18= 4 so for one inch of wire it cost 4 cents Then 14 inches times 4= 56 I think thats
the answer
HELP HELP HELP!!!!! Please help!
Answer:
Regular peanut butter - .23
Family Size Peanut Butter - .15
Answer:
#1: 0.23
#2: 0.15
Step-by-step explanation:
1.38/ 6= 0.23
6*0.23= 1.38
7.80/ 52= 0.15
0.15*52= 7.80
Solve 5x+3=3x+11
Please can someone answer this.
I’m just doing it for my niece but who knows it
Answer:
I personally think the third one
Step-by-step explanation:
helplpppppokjiuhfvef
Answer:
The answer is C
Step-by-step explanation:
2:1 means first triangle is double the size of the scale model
How much would your total be if you bought 2 lbs of ground
beef and 1 lb of steak?
Beef:$5.99$ per lb
Steak:$9.99 per lb
Answer:
$21.97
Step-by-step explanation:
2(5.99)+ 1(9.99) = 11.98 + 9.99 = 21.97
Triangle T is translated to Triangle T What is the translation from T to T'? у T T A 3 units left B 3 units right c5 units left 05 PLEASEEEE HELP ME OUT
Answer:
5 units to the right!
It would take 3 unites to the right to get the 0 and then 2 more units to the right to get to 2, so that means 5 units in total to the right.
The original price of a computer is $1,500? How much do you save if you receive a 16% discount?
Answer:
240, i think
Step-by-step explanation:
Solve the proportion: 4/x = 2/7
Answer:b
Step-by-step explanation:
Answer:
x = 14
Step-by-step explanation:
Cross multiply.
7 x 4 = 28.
X x 2 = 2x
2x = 28
x = 14
Question on the photo
Answer:
C
Step-by-step explanation:
Since it is only addition and subtraction, you can rearrange the order of the equations. This is what the three eqautions will look like after the arrangement:
1.6z + 8.3 z = ? (9.9z)
6.2y - 5.1y = ? (1.1y)
4.3x + 5.5x = ? (9.8x)
Then you just add and subtract.
The average of the integers 4, 9, 10, 14, a, and b is 10. Find the sum of a and b.
Answer:
The answer is A = 14 B = 4 14 - 4 = 10 I think.
Step-by-step explanation:
It's not a sum its a difference because this is a subtraction problem I think.