Using factorization, the missing factor is (a + 6) of the given quadratic equation a² + 8a + 12 = 0.
What is a quadratic equation?It is a polynomial that is equal to zero. Polynomial of variable power 2, 1, and 0 terms are there. Any equation having one term in which the power of the variable is a maximum of 2 then it is called a quadratic equation.
Given
The quadratic equation is a² + 8a + 12 = 0
The factor of the quadratic equation will be.
[tex]\begin{aligned}a^2 + 8a + 12 &=0 \\a^2 + 6a + 2a +12 &= 0\\(a+ 6)(a +2 ) &= 0\\\end{aligned}[/tex]
Thus, the missing factor is (a + 6).
More about the quadratic equation link is given below.
https://brainly.com/question/17177510
Answer:
6
Step-by-step explanation:
1.] (3x³) (x⁴)
2.] (3) (4³)
3.] (x²y)³
4.] (6x⁷) / (2x⁴)
5.] 9x
HELP PLSS NEED ASAP
Answer:
1. 3x^7
2. 192
3. x^6y^3
4. 3x^3
5. 3^2x
Step-by-step explanation:
Answer:
1. 3x⁷
2. 192
3. x⁶y³
4. 12x¹¹
5. 3²x
Carlos uses a food delivery service to order lunch. He paid $13.75 for lunch, which included the cost of the food and a delivery fee, which is 10% of cost of the food. What was the cost of Carlos' lunch before the delivery fee? Enter your answer in the box.
Answer:
$12.50
Step-by-step explanation:
Let x = the cost of the food without the delivery fee.
The delivery fee can be represented as 0.10x.
Keep in mind that the cost of the food plus the delivery fee equals $13.75.
Therefore, your equation will look like: 13.75 = x + 0.10x
x + 0.1x = 1.10x
So, 13.75 = 1.10x
This means that x = 13.75/1.10
x = 12.5 = $12.50
Answer: Let's represent the cost of the food as "x".
We know that the delivery fee is 10% of the cost of the food, so it can be written as 0.1x.
The total cost that Carlos paid for lunch is the sum of the cost of the food and the delivery fee, which is:
Total cost = Cost of food + Delivery fee
$13.75 = x + 0.1x
Simplifying the equation, we get:
$13.75 = 1.1x
Dividing both sides by 1.1, we get:
x = $12.50
Therefore, the cost of Carlos' lunch before the delivery fee was $12.50.
YES 12.50 is correct I am a k12 student and I have proof. the quiz name is 2.09 Quiz: Multistep Percent Problems
Write a formula for the perimeter (p) of a square whose sides are s units long
Answer:
Perimeter = 4s
Step-by-step explanation:
The perimeter of a square = 4*length
Given that length = s
Perimeter = 4s
-Chetan K
HELP pleaseeeee NOWWWW
Graph: f(x)= (x+1)(x – 5)
Answer:
f(x)=(x+1)(x-5)
=x+1=x-5
=1+5=x-x
=6
can you simplify 4+6(3)+2(5 1/2 -1)
Answer:
31
5 1/2 - 1 = 4.5
4+ 18= 22
2(4.5) = 9
22+ 9 = 31
Step-by-step explanation:
What does this symbol mean in mathematics?
Answer:
Looks like (pi)= 22/7
Step-by-step explanation:
Answer:
I believe it is pi, as in 3.14 pi. (The handwriting is so confusing)
Step-by-step explanation:
Pi typically looks like a cursive "r" or a bench of some sort, so I believe this is the pi symbol. Hope that helps :)
Seven people are going to share an 84-ounce bottle of soda. How many ounces will each person get to drink?
Answer:
Each person is gonna drink 12 ounces
Step-by-step explanation:
84 divided by 7 is 12
As it is 7 people sharing one drink that is 84 ounces I divided since they would be sharing equally and as it was the right thing to do.
Not a teacher
a method to solving a system of equations using the coordinate and
Answer:
Systems by Graphing
Step-by-step explanation:
There re 380 light bulbs lined up in a row in a long room. Each bulb has its own switch and is currently switched off. Each bulb is numbered and is consecutively from 1 to 380. You first flip every switch. You then flip the switch on every second bulb. You then flip the switch on every third bulb. This continues after you have gone the process 380 times
(I rlly need help)
Flipping the bulbs is an illustration of sequence and patterns
19 bulbs would remain on.
How to determine the number of bulbs that will be onThe sequence of turning the bulbs off and on, would change the state of the bulbs until the 380th process.
While changing the state of the bulbs, the bulb at the perfect square positions would remain on.
There are 19 perfect square numbers between 1 and 380 (inclusive)
Hence, 19 bulbs would remain on.
Read more about sequence and patterns at:
https://brainly.com/question/26698448
you are on a 750 mile trip by car . ur car used seven gallons of gas to travel the first 210 miles of the trip. how much more gas will u need to make it the rest of the way at the same rate ? show work
Answer:
A total of 18 gallons of more gas
Step-by-step explanation:
7 gallons = 210 miles
750-210= 540
210*2 =420 miles 7*2=14 gallons
210/2= 105 7/2=3.5 gallons
525 miles 17.5 miles
210/14= 15 7/14=.5 gallons
540 miles 18 gallons
Solve the system of linear equations by substitution.
y = 2x + 8
y = -2x
Answer:
(- 2, 4 )
Step-by-step explanation:
y = 2x + 8 → (1)
y = - 2x → (2)
substitute y = 2x + 8 into (2)
2x + 8 = - 2x ( add 2x to both sides )
4x + 8 = 0 ( subtract 8 from both sides )
4x = - 8 ( divide both sides by 4 )
x = - 2
substitute x = - 2 into (2)
y = - 2(- 2) = 4
solution is (- 2, 4 )
Answer: [tex]y=4,\:x=-2[/tex]
Step-by-step explanation:
[tex]\begin{bmatrix}y=2x+8\\ y=-2x\end{bmatrix}[/tex]
[tex]\mathrm{Substitute\:}y=-2x[/tex]
[tex]\begin{bmatrix}-2x=2x+8\end{bmatrix}[/tex]
[tex]{Isolate\:}x{for -2x=2x+8[/tex]
[tex]x=-2[/tex]
[tex]\mathrm{For\:}y=-2x[/tex]
[tex]\mathrm{Substitute\:}x=-2[/tex]
[tex]y=-2\left(-2\right)[/tex]
[tex]\mathrm{Simplify}[/tex]
[tex]y=4[/tex]
[tex]The\:solutions\:to\:the\:system\:of\:equations\:are:[/tex]
[tex]y=4,\:x=-2[/tex]
Good Luck!
Cory writes the polynomial x7 3x5 3x 1. Melissa writes the polynomial x7 5x 10. Is there a difference between the degree of the sum and the degree of the difference of the polynomials?.
Degree of a polynomial gives the highest power of its terms. Yes there is a difference between the degrees of sum and difference of the polynomials.
What is degree of a polynomial?Degree of a polynomial is the highest power that its terms pertain(for multi-variables, the power of term is addition of power of variables in that term).
Thus, in [tex]x^3 + 3x^2 + 5[/tex], the degree of the polynomial is 3 as the highest power in its terms is 3.
(power and exponent are same thing)
What are like terms?Those terms which have same variables raised with same powers.
For example, [tex]x^3[/tex] and [tex]3x^3[/tex] are like terms since variable is same, and it is raised to same power 3.
For example [tex]4x^2[/tex] and [tex]x^3[/tex] are not like terms as the variables are same but powers aren't same.
The given polynomials are:
[tex]c(x) = x^7 + 3x^5 + 3x + 1\\\\p(x) = x^7 + 5x + 10[/tex]
Their sum is
[tex]c(x) + p(x) = x^7 + 3x^5 + 3x + 1 + x^7 + 5x + 10 = (1+1)x^7 + 3x^5 + (3+5)x + 11\\\\c(x) + p(x) = 2x^7 + 3x^5 + 8x + 11[/tex]
(only like terms' coefficients can be added (or subtracted) for addition or subtraction of them )
The sum's degree is 7
Their difference is:
[tex]c(x) - p(x) = x^7 + 3x^5 + 3x + 1 - x^7 -5x - 10 = (1-1)x^7 + 3x^5 +(3-5)x -9\\\\c(x) - p(x) = 3x^5 - 2x - 9[/tex]
Difference's degree is 5
Thus, both's degrees are not same.
Thus, Yes there is a difference between the degrees of sum and difference of the polynomials.
Learn more about subtraction of polynomials here:
https://brainly.com/question/9351663
What is the perimeter of a pentagon with side length 35cm?
Answer:
175 cm
Step-by-step explanation:
35 x 5 = 175
Use the graph to find the
a y-intercept
b. the slope of the line
С.
write the equation of this line
PLS HELP MARKING BRAINLEIST JUST BE QUICK
Answer:
19w + 3
Explanation:
perimeter: length measure of all sides
perimeter for this shape:
→ 4w + 4 + 6w + 5 + 7w + 3 + 2w - 9
group terms like this ↓
→ 4w + 6w + 7w + 2w + 4 + 5 + 3 -9
add basic numbers ↓
→ 4w +6w +7w +2w +3
final answer ↓
→ 19w + 3
Perimeter is the sum of all the sides.
2w-9 + 4w + 4 + 6w + 5 + 7w + 3
Combine like terms:
19w + 3
Sam buys a bus ticket for $1.60 and a breakfast burrito for $3.75 each day, Monday through Thursday. He leaves a $1.40 tip each day.
Answer: $22.20
Step-by-step explanation: yw
which of these functions has the highest midline?
a) 1-sin(t+3pi/2),
b) 2-sin(t/2 + pi/4),
c) sin(2t- pi/2),
d) 2sin(t-pi)
There are seven boys and seven girls in a class. The teacher randomly selects one student to answer a question. Later, the teacher randomly selects a different student to answer another question. The first student is a boy and the second student is a girl.
Find the probability
Evaluate a + b for a = 2 and b = 3.
Hey there!
a + b
= 2 + 3
= 5
Therefore, your answer is: 5
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
what is the area of the parallelogram
Answer:
the area parallelogram is 90%
FIRST PERSON TO ANSWER GETS BRAINLIST AND 10 POINTS!!!!!!
Robert's dresser drawer contains 4 red socks, 10 black socks, 6 white socks, and 4 gray socks. If Robert randomly selects one sock from the drawer, which of the following statements are true? Select all that apply. The probability of selecting a gray sock is the same as the probability of selecting a red sock Each color sock is equally likely to be chosen from the drawer. This scenario can be represented by a non-uniform probability model. This scenario can be represented by a uniform probability model.
Answer:
The answer to your problem is black (1/5)
Step-by-step explanation:
how do you solve f-3/4=5/6?
Answer:
f =38
Step-by-step explanation:
f-3/4=5/6
f-3×6=5×4
f-18 =20
f =20+18
f =38
Line segments A prime B prime and A B. The distance from the center of dilation P to A prime is 3. The distance from P to A is 5.
1/2
3/5
1 2/3
2
HURRY I HAVE !0 MINS LEFT
what is 9.6 divided by 0.12 (with equation pls)
Answer:
9.6 ÷ 0.12
Expand 9.6/0.12 by multiplying both numerator and the denominator by 100.
=960/12
Devide 960 by 12 to get 80
=80
So the answer is 80
Step-by-step explanation:
#Carry on learning
b) For V = Pi r squared , find V when r = 12.5 and h = 8
World War I, often abbreviated as WWI or WW1, also known as the First World War or the Great War, was an international conflict that began on 28 July 1914 and ended on 11 November 1918
Select all that are equal to 64(6-5)
Answer:
the middle 3
Step-by-step explanation:
6^(4-5)
6^(-1)
so three are equal to this
1/6
6^-1
and
1/6^1
Determine if the statement is true or false.
66 = 7 (mod 12)
Answer:
false
Step-by-step explanation:
66 mod 12
quotient 5
reminder 6
true statement
66 = 6 (mod 12)
PLEASE HELP ME I REALLY NEED IT
In a right isosceles triangle, the lengths of both legs are equal. For the given isosceles triangle, what is the value of x?
well, we know the triangle besides being an isosceles, is also a right-triangle, so let's use the pythagorean theorem.
[tex]\textit{using the pythagorean theorem} \\\\ c^2=a^2+b^2 \qquad \begin{cases} c=\stackrel{hypotenuse}{\sqrt{72}}\\ a=\stackrel{adjacent}{x}\\ b=\stackrel{opposite}{x}\\ \end{cases}\implies (\sqrt{72})^2=x^2+x^2 \\\\\\ 72=2x^2\implies \cfrac{72}{2}=x^2\implies 36=x^2\implies \sqrt{36}=x\implies 6=x[/tex]
Answer:
x = 6
Step-by-step explanation:
sine law
a/ sin a = x / sin x
(72)^1/2 / sin 45º = x / sin 90
6 = x/1
multiply each side by 1
6 = x