Answer:
1/4
What is 3/12 Simplified? - 1/4 is the simplified fraction for 3/12.
Step-by-step explanation:
1/3 multiplied by 1 1/2
Answer:
0.5
Step-by-step explanation:
The polynomial p(x)=x^3+7x^2-36p(x)=x 3 +7x 2 −36p, left parenthesis, x, right parenthesis, equals, x, cubed, plus, 7, x, squared, minus, 36 has a known factor of (x+3)(x+3)left parenthesis, x, plus, 3, right parenthesis. Rewrite p(x)p(x)p, left parenthesis, x, right parenthesis as a product of linear factors. p(x)=
Answer:
(x-2)(x+3)(x+6)
Step-by-step explanation:
Given the polynomial function p(x)=x^3+7x^2-36
We are to write it as a product of its linear factor
Assuming the value of x that will make the polynomial p(x) to be zero
Let x = 2
P(2) = 2³+7(2)²-36
P(2) = 8+7(4)-36
P(2) = 8+28-36
P(2) = 0
Since p(2) = 0 hence x-2 is one of the linear factors
Also assume x = -3
P(-3) = (-3)³+7(-3)²-36
P(-3) = -27+7(9)-36
P(-3) = -27+63-36
P(-3) = 36-36
P(-3) = 0
Since p(-3) = 0, hence x+3 is also a factor
The two linear pair are (x-2)(x+3)
(x-2)(x+3) = x²+3x-2x-6
(x-2)(x+3) = x²+x-6
To get the third linear function, we will divide x^3+7x^2-36 by x²+x-6 as shown in the attachment.
x^3+7x^2-36/x²+x-6 = x+6
Hence the third linear factor is x+6
x^3+7x^2-36 = (x-2)(x+3)(x+6)
Answer:
x^3 + 7x^2 -36 = (x + 3)(x-2)(x + 6)
Step-by-step explanation:
Here we want to rewrite the polynomial
P(x) = x^3 + 7x^2 - 36
As a product of linear factors given that we have one of the roots already as (x + 3)
What we shall do here is to divide the polynomial by x + 3
Please check attachment for long polynomial division
From the division, the other factor is x^2 + 4x -12
So we can rewrite the polynomial as;
x^3 + 7x^2 -36 = (x + 3)(x^2 + 4x -12)
So let’s now write x^2 + 4x -12 as a product of its linear factors
x^2 + 4x -12 = x^2 + 6x -2x -12
= x(x + 6)-2(x + 6)
so we have;
(x -2)(x + 6)
Therefore;
x^3 + 7x^2 -36 = (x + 3)(x-2)(x + 6)
Use the Factor Theorem to determine whether h(x) = x – 1 is a factor of f(x) = 14x^99 – 65x^56 + 51.
a. Yes
b. No
One day, the principal announces the cancelation of classes to two teachers, each whom sends this to two other teachers, and so on. Suppose that text messages were sent in five rounds, counting the principal’s text message as first, how many text messages were sent in all?
Answer:
62
Step-by-step explanation:
2 + 4 + 8 + 16 + 32 = 62
If each person sends 2 texts each, then you basically multiply by 2 every round
You are having a pizza-making party for a number of people. You will need 6 ounces of dough and 4 ounces of sauce for each person at this party. If you used a total of 130 ounces of dough and sauce all together,
Answer:
13
Step-by-step explanation:
I can't see the rest of the question but im assuming it's asking how many people there are so you add the 6 and 4 together which makes 10 and divide 130 by 10 because its 10 ounces all together for each person which makes 13. I'm really sorry of this is wrong but im assuming that is the answer because that is what the question looks like its asking
Answer:13
Step-by-step explanation:
not sure if correct but
Ella purchased a game that was on sale for 12% off. The sales tax in her county is 6%. Let y represent the original price of the game. Write an expression that can be used to determine the final cost of the game.
A y − 0.12y
B 0.06(0.88y)
C 1.06(0.88y)
D y − 0.88y + 0.06y
Answer:
The expression that can be used to determine the final cost of the game is
1.06(0.88 y) ⇒ (C)
Step-by-step explanation:
If the price of an item is discounted, that mean its new price will be less its initial priceThe taxes on item, makes its new price greater than the initial price because tax is addLet us solve the problem
∵ Ella purchased a game that was on sale for 12% off
→ That means the new price will (100% - 12%) of the initial price
∵ y represented the initial price of the game
→ Multiply y by (100% - 12%) to get the new price
∴ The new price = y (100% - 12%)
∴ The new price = y (88%)
→ Change 88% to normal number by divide it by 100
∴ The new price = y ([tex]\frac{88}{100}[/tex])
∴ The new price = 0.88 y
∵ The sales tax in her county is 6%
→ That means the final cost will be (100% + 6%) of 0.88 y
∴ The final cost = (100% + 6%) × (0.88 y)
∴ The final cost = 106% × (0.88 y)
→ Change 106% to normal number by divide it by 100
∴ The final cost = [tex]\frac{106}{100}[/tex] × (0.88 y)
∴ The final cost = 1.06(0.88 y)
The expression that can be used to determine the final cost of the game is 1.06(0.88 y)
Answer:
C. 1.06(0.88y)
Step-by-step explanation:
PLEASE PLEASE HELP!!!!WILL MARK BRAINLIEST
equation
2x-1/4+x/3=2
Answer:
x=27/28
Step-by-step explanation:
Let's solve your equation step-by-step.
2x−14+x3=2
Step 1: Simplify both sides of the equation.
2x−14+x3=2
2x+−14+13x=2
(2x+13x)+(−14)=2(Combine Like Terms)
73x+−14=2
73x+−14=2
Step 2: Add 1/4 to both sides.
73x+−14+14=2+14
73x=94
Step 3: Multiply both sides by 3/7.
(37)*(73x)=(37)*(94)
x=27/28
Answer:
x=27/28
Find the vertex and the axis of symmetry of the graph of y=-6(x+4)^2 – 3.
Answer:
vertex = (- 4, - 3 ), equation is x = - 4
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
y = 6(x + 4)² - 3 ← is in vertex form
with (h, k ) = (- 4, 3 ) ← vertex
The equation of the axis of symmetry is a vertical line passing through the vertex, with equation
x = - 4
A person who weighs 150 pounds on Earth will weigh 405 pounds on Jupiter. How much will a person weigh on Jupiter who weighs 120 pounds on Earth? *
Answer:
324
Step-by-step explanation:
What is the slope of a line perpendicular to the line whose equation is
12x – 9y = 135. Fully reduce your answer.
Answer:
The slope is -9/12
Step-by-step explanation:
First find the slope of the given line:
12x - 9y = 135 → -9y = -12x + 135 → y = 12/9 - 15
The perpendicular slope is a slope that is the reciprocal and is the opposite charge of the given slope.
So the answer would be -9/12, which is 12/9 but flipped upside down and is negative.
answer first for brainliest
Answer:
ok
Step-by-step explanation:
i need help with this geometry
For your trip to Austin you know you are going to travel 182 miles and your car can do that in 14 gallons. How far can your car travel on 8 gallons of gas?
Write the equation of the line in point-slope form that passes through the
given point with the given slope.
(-4, 3); m = 2
Answer:
y = 2x + 11
plug the values into y = mx+b:
3 = 2(-4) + b
solve, and you get
3 = -8 + b
b= 3+8 = 11
so, the equation is y = 2x+11
5.) Which point on the number line below
represents ?
A
В с
D
0
1
2
3
4
a) Point A
c) Point C
b) Point B
d) Point D
Plz help me I’ll give brainliest!!
Answer:
k = 1
Step-by-step explanation:
The equation of a parabola in vertex form is
f(x) = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
Here (h, k ) = (4, 1 )
with k = 1
5 ice cream cones cost $7.25. At this rate, how much do
3 ice cream cones cost? Plus what is the cost per ice cream cone
Answer:
i
Step-by-step explanation:
. 7.25 divided by 3 is 2.416666666 on the calulater. and the cost per cone is 1.45. so each cone is 1.45 per each and the cost per cone of 3 is 2.416666666 for the calulater. I hoped I helped if I didn't I'm sorry
Irma is just learning to play the Happy Fairies video game. In the game, players gain and lose points based on how well they take care of the fairies in their fairy gardens. Irma had a total of – 5 points. Then, her fairy house fell over in the wind and she got – 3 points. How many total points does Irma have now?
Answer: -8 points
Step-by-step explanation:
From the question, we are informed that Irma is just learning to play the Happy Fairies video game and that in the game, players gain and lose points based on how well they take care of the fairies in their fairy gardens.
We are told that Irma had a total of –5 points, then, her fairy house fell over in the wind and she got –3 points.
Her total points now will be the addition of -5 and -3. This will be:
= -5 + (-3)
= -5 - 3
= -8
Note that minus multiplied by plus is minus.
Answer: -8
Step-by-step explanation:
Plz help me
Find the rational approximation of square root 7 to the nearest tenth.
Answer:
2.6
Step-by-step explanation:
Can someone answer this for me?
what rational number lies between 4/3 and 1.666666
Answer:
−26 and −16 is −14.
Step-by-step explanation:
0.72...0.702 put < or > between the numbers in each pair
Answer:
0.72>0.702
Step-by-step explanation:
In a lab experiment, the decay of a radioactive isotope is being observed. At the beginning of the first day of the experiment the mass of the substance was 800 grams and mass was decreasing by 13% per day. Determine the mass of the radioactive sample at the beginning of the 12th day of the experiment. Round to the nearest tenth (if necessary).
In JL, K is the midpoint. The coordinates of J are (2, 2), and the
coordinates of Kare (10, 11). What are the coordinates of L?
Can y’all help me please:)
Answer:-9
Step-by-step explanation:
that is the answer
mr george has a bank balance of 42 dollar at the start of the mouth.after he depostite 6 dollar the new balance is
Answer:
48 dollars.
Step-by-step explanation:
If Mr. George starts with 42, and adds 6, his new balance should equal 48 because you add the two numbers.
Is this equation an example of a literal equation? Why?
Answer:
yes this is...,.,.,.....
PLEASE HELP QUICK WILL THANK AND GIVE BRAINLY
A doctor has office hours 3 days each week. Each day she sees 24 patients.
How many patients does she see in one year? Remember, there are 52 weeks in a year.
Answer:
3774
Step-by-step explanation:
expand and simple 3(x-3) - (x-4)
Answer:
Distribute the 3 to the parenthesis, and the -1 to the parenthesis.
This will result to:
3x-9-x+4
2x-5