The partial factorization of x2 – x – 12 is modeled with algebra tiles.
An algebra tile configuration. 4 tiles are in the Factor 1 spot: 1 is labeled + x, 3 are labeled +. 1 tile is in the Factor 2 spot and is labeled + x. 20 tiles are in the Product spot: 1 is labeled + x squared, 3 are labeled + x, the 4 tiles below + x squared are labeled negative x, and the 12 tiles below the + x tiles are labeled negative.
Which unit tiles are needed to complete the factorization?
Answer:
x² – x – 12 = (x – 4)(x + 3)
Step-by-step explanation:
Identify two numbers that add to -1 and multiply to -12, let's call them p and q.
So ax² + bx + c = (x + p)(x + q)
pq = c
p + q = b.
It is easier to find these numbers by finding factors of -12.
This can be done by splitting the number up until all the numbers are prime.
-12 → 6 × -2 or -6 × 2 → -(3 × 2 × 2)
There can only be two numbers so the only options we have are 6 and -2, -6 and 2, 3, and -4, or -3 and 4.
We can eliminate them by adding them up.
6 + -2 = 4 ≠ -1 so that can't be it.
-6 + 2 = -4 ≠ -1 so that can't be it either.
-3 + 4 = 1 ≠ -1
therefore p and q are 3 and -4 because 3 + -4 = -1.
so x² – x – 12 = (x – 4)(x + 3)
p = -4, and q = 3.
(x – 4)(x + 3) = x(x + 3) – 4(x + 3) = x² + 3x – 4x + 12 = x² – x – 12
Solve the inequality:
3(k + 2) -3 < 15
Isolate the variable by dividing each side by factors that don't contain the variable.
Inequality Form:
k < 4
Interval Notation:
(−∞, 4)
Need help with this math question pls help me will mark brainiest btw
Answer:
Zero
Step-by-step explanation:
Answer:
Answer: C. Zero
Step-by-step explanation:
The Slope of a Line
Suppose we know a line passes through points A(x1,y1) and B(x2,y2). The slope can be calculated with the equation:
[tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]
The line shown in the image is horizontal, i.e. all of its points have the same y-coordinate regardless of their x-coordinate.
Take two random points on the line like (0,-2) and (2,-2), the slope is:
[tex]\displaystyle m=\frac{-2+2}{2-0}=0[/tex]
The slope is zero
Answer: C. Zero
What is 8q+12=4(3+3q)
Answer:
q = 0
Step-by-step explanation:
8q + 12 = 4( 3 + 3q )
Distributive property
8q + 12 = 4 ( 3 + 3q )
8q + 12 = 12 + 12q
Inverse operations
8q + 12 = 12 + 12q
-8q -8q
12 = 12 + 4q
-12 -12
0 = q
q = 0
Answer:
Q = 0
Step-by-step explanation:
1. Expand.
8q + 12 = 12 + 12q
2.cancle 12 on both sides.
8q = 12q
3. Move all terms to one side.
8q - 12q = 0
4. simplify 8q - 12q to -4q.
-4q = 0
5. Divide both sides by -4.
q=0
therefor, the answer is q=0
The sum of two numbers is 21. What is the equations for this statement:
Answer:
Lol, do you still need the answer? If you do, here it is:
The equation is : X+Y=21, X+Y+21 can be the following options:
1+20=21
2+19=21
3+18=21
4+17=21
5+16=21
6+15=21
7+14=21
8+13=21
9+12=21
10+11=21
Hope this helps, and have a good day :D
4m − –3m − 17m − –m − –7m = 12
Step-by-step explanation:
[tex]\tt{ 4m-(-3m)-17m-(-m)-(-7m)=12 }[/tex] ⠀
[tex]\tt{ 4m+3m-17m+m+7m=12 }[/tex] ⠀
[tex]\tt{ 15m-17m=12 }[/tex] ⠀
[tex]\tt{ -2m=12 }[/tex] ⠀
[tex]\tt{ m=\dfrac{12}{-2}}[/tex] ⠀
[tex]\tt{m=-6 }[/tex]
[tex]4m−(−3m)−17m−(−m)−(−7m)=12\\\\\\4m+3m−17m+m+7m=12\\\\\\15m−17m=12\\\\\\−2m=12\\\\\\m=\dfrac{12}{-2}\\\\\\\bold{\green{m=-6} }[/tex]
in a circle abcd, ac=8 cm then find the measure of ob
Answer:
Step-by-step explanation:
ANS is 4cm
What does this{^} sign mean?
Answer:
It means square root for example 3^3 equals 3 cubed
Step-by-step explanation:
what does bidmas/bodmas stand for???? CASLAN
Answer:
Bodmas stands for Brackets, Orders, Division, Multiplication, Addition, Subtraction
Step-by-step explanation:
Bidmas stands for Brackets, Indices, Division/Multiplication, Addition/Subtraction.
Answer:
BODMAS=
Brackets
Order
Divide
Multiply
Add
Subtract
Example:
(10 + 10) × 10 ÷ 10
20 × 10 ÷ 10
20 × 1
20 (ans)
5a. Find the value of x. Round to the nearest tenth (1 decimal place).
у
45°
.X
5
Your answer
Answer:
45
Step-by-step explanation:
The little square at the bottom of the triangle is a 90 degree angle so add 90+45=135 and if the whole triangle equals 180 so you would do 180-135=45
I have been stuck on this question please help
Answer:
3⁷Step-by-step explanation:
(3⁴)⁻² * (3⁵)³ =3⁴⁽⁻²⁾*3⁵⁽³⁾ =3⁻⁸*3¹⁵ =3⁻⁸⁺¹⁵ =3⁷Correct option is B. 3⁷
Diana buys a shirt for $14 plus and
pays 8% tax. Eddie buys pants for $25
plus and pays an 8% tax. Enter the
difference in the amount Diana and
Eddie paid, including the tax. Round
your answer to the nearest cent.
Choose the graph of the solution to this inequality - 6x < 21
Answer:
d
Step-by-step explanation:
Answer:
the answer is D
Step-by-step explanation:
what is the relationship between the number of sides in a polygon and the sum of the measures of the interior angles ?
Which list orders from least to greatest?
Answer:
D. -2 2/3, -2.5, 1.3, 1 1/2, 3
Step-by-step explanation:
A gardener plants a row of eight trees chosen from three maples, two oaks, and four birches. In how many ways can he plant the row if:
trees of the same type have to be adjacent?
Answer:
18
Step-by-step explanation:
each possibility needs to exclude one tree so:
mmoobbbb is when you exclude a maple
mmmobbbb is when you exclude an oak
mmmoobbb is when you exclude a birtch
then you can mix them up to get 6 ways per exclusion
6x3=18
so 18 is your answer!
Julio's father is 4 times as old as Julio.
In 10 years, he will be 2 less than Julio's age
times 3. How old are Julio and his father?
Answer:
240
Step-by-step explanation:
the weight of a small bag of raisins of 3.0 times the weight of a large bag. The large bag weight 8.0 of a pound. what is the weight of the small bag? solve this problem any way you choose.
I just want the answer
Answer:
4/15
Step-by-step explanation:
solve for m
-3/7m=12
A: M= -28
B: M= -26
C: M= 26
D: M= 28
Answer:
A
Step-by-step explanation:
Answer:
-3/7m=12
-3m/7=12 multiplying by 12 on both sides
-3m=12x7
-3m=84
divide by -3
-3m/-3= 84/-3
m= -28
Ans is A
Explain why it is important to solve for the variable first in order to find the measure any angle mentioned in the problem . Yea it's a Geometry problem
Three times a number (n) is 36 less than five times the number (n). What is the number?
Answer:
18
Step-by-step explanation:
To find the number, write an algebraic equation with the given information. Let the variable n represent the unknown number.
Now, break it by parts - "three times a number" would be [tex]3n[/tex]. The "is" means that it equals something, giving us [tex]3n =[/tex]. "36 less than 5 times the number" would be subtracting 36 from whatever 5 times the number is: [tex]5n -36[/tex]. So, put it all together and it is [tex]3n = 5n-36[/tex].
Next, solve the equation for n. The answer will be the number.
[tex]3n = 5n-36\\0 = 2n - 36\\36 = 2n \\n = 18[/tex]
Thus, the number is 18.
18
i am doing it on edg 2020 now
One fourth of the children who are on the bus are wearing a blue shirt. If 8 of the children are wearing a blue shirt, how many children are on the bus in total? *
Answer:
i would think 32
Step-by-step explanation:
cause you said one fourth and i multiplied 8 and 4 and got 32
i need help asap pls
PLEASE HELP!!!
What is the y-intercept of the line shown?
A coordinate plane is shown. A line passes through the y-axis at -1 and through the point 1 comma 2.
−1
0
0.5
1
Answer:
passes through y = 1 !!!!!!!!!
-1 would be your answer.
Hope this helped!
HURRY PLEASE
Place the formula components in order of precedence from highest to lowest.
exponents
parentheses
addition/subtraction
multiplication/division
Answer:
parentheses
exponents
multiplication/division
addition/subtraction
Step-by-step explanation:
PEMDAS
Answer:
1. parentheses
2. exponents
3. multiplacation/division
4. addition/subtraction
Step-by-step explanation:
hope this helps :)
can someone help please and thank you
Answer:
2/5
Step-by-step explanation:
you go up 2 to the right 5
Answer:
2/5 or .20
Step-by-step explanation:
m=rise/run
m=20/50 which simplifies to 2/5 because you divide 10 on the top and bottom
m=2/5
Oliver's plane landed at the airport at 8:00 at night. The plane ride was 9 hours and 39 minutes,
What time did the airplane leave? Move numbers to the clock to show the time,
Answer:
10:21 in the morning
Step-by-step explanation:
8:00-8 hrs=12:00
12:00-1 hr and 39 min = 10:21
Answer: r u serious???????? it’s easy just uhh 11:21
Step-by-step explanation: i did it in my head
choose all the values of a that make the following equation true= 3/4 = a/36
Answer:
a = 27
Step-by-step explanation:
3/4 = a/36 Cross multiply
4*a = 36*3 Combine the right
4a = 108 Divide by 4
4a/4 = 108/4
a = 27
Faisal has some stickers,he gives away 13 stickers now he has 11 stickers how many does Faisal give away
Answer:
he gave 2 away
Step-by-step explanation:
11+2=13
Evaluate if k = 3.
k2 + 5 = [?]
Answer:
3(2)+5
=6+5
=11
Step-by-step explanation:
Hey there!
If [tex]\bf{k=3}[/tex] then substitute it for the [tex]\bf{k \ value}[/tex][tex]\bf{3^2+5}\\ \bf{3^2\rightarrow 3\times3 = 9} \\ \bf{9+5= 14}\\\boxed{\bf{Answer:14}}}\checkmark[/tex]Good luck on your assignment and enjoy your day!~[tex]\frak{LoveYourselfFirst:)}[/tex]