I don't understand how to do things like 5 divided by 1/3.
No worries
First write 5 as 5/1.
Then, our division becomes:
5/1 ÷ 1/3
Then we just need to turn on second number upside down and multiply.
5/1 × 3/1
= 15/1
=> 15
carlos has 3 times as many colored pencil as Joe. Carlos has 36 colored pencil.
We want to find the zeros of this polynomial:
p(x) = (2x2 – 9x + 7)(x - 2)
Answer:
Step-by-step explanation: Reformatting the input :
Changes made to your input should not affect the solution:
(1): "x2" was replaced by "x^2".
Rearrange:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
p*(x)-((2*x^2-9*x+7)*(x-2))=0
STEP
1
:
Equation at the end of step 1
px - (((2x2 - 9x) + 7) • (x - 2)) = 0
STEP
2
:
Trying to factor by splitting the middle term
2.1 Factoring 2x2-9x+7
The first term is, 2x2 its coefficient is 2 .
The middle term is, -9x its coefficient is -9 .
The last term, "the constant", is +7
Step-1 : Multiply the coefficient of the first term by the constant 2 • 7 = 14
Step-2 : Find two factors of 14 whose sum equals the coefficient of the middle term, which is -9 .
-14 + -1 = -15
-7 + -2 = -9 That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -7 and -2
2x2 - 7x - 2x - 7
Step-4 : Add up the first 2 terms, pulling out like factors :
x • (2x-7)
Add up the last 2 terms, pulling out common factors :
1 • (2x-7)
Step-5 : Add up the four terms of step 4 :
(x-1) • (2x-7)
Which is the desired factorization
Equation at the end of step
2
:
px - (2x - 7) • (x - 1) • (x - 2) = 0
STEP
3
:
Equation at the end of step 3
px - 2x3 + 13x2 - 25x + 14 = 0
STEP
4
:
Solving a Single Variable Equation:
4.1 Solve px-2x3+13x2-25x+14 = 0
In this type of equations, having more than one variable (unknown), you have to specify for which variable you want the equation solved.
We shall not handle this type of equations at this time.
Supplement : Solving Quadratic Equation Directly
Solving 2x2-9x+7 = 0 directly
Earlier we factored this polynomial by splitting the middle term. let us now solve the equation by Completing The Square and by using the Quadratic Formula
Parabola, Finding the Vertex:
5.1 Find the Vertex of y = 2x2-9x+7
Parabolas have a highest or a lowest point called the Vertex . Our parabola opens up and accordingly has a lowest point (AKA absolute minimum) . We know this even before plotting "y" because the coefficient of the first term, 2 , is positive (greater than zero).
Each parabola has a vertical line of symmetry that passes through its vertex. Because of this symmetry, the line of symmetry would, for example, pass through the midpoint of the two x -intercepts (roots or solutions) of the parabola. That is, if the parabola has indeed two real solutions.
Parabolas can model many real life situations, such as the height above ground, of an object thrown upward, after some period of time. The vertex of the parabola can provide us with information, such as the maximum height that object, thrown upwards, can reach. For this reason we want to be able to find the coordinates of the vertex.
For any parabola,Ax2+Bx+C,the x -coordinate of the vertex is given by -B/(2A) . In our case the x coordinate is 2.2500
Plugging into the parabola formula 2.2500 for x we can calculate the y -coordinate :
y = 2.0 * 2.25 * 2.25 - 9.0 * 2.25 + 7.0
or y = -3.125
Parabola, Graphing Vertex and X-Intercepts :
Root plot for : y = 2x2-9x+7
Axis of Symmetry (dashed) {x}={ 2.25}
Vertex at {x,y} = { 2.25,-3.12}
x -Intercepts (Roots) :
Root 1 at {x,y} = { 1.00, 0.00}
Root 2 at {x,y} = { 3.50, 0.00}
3 Solving 2x2-9x+7 = 0 by the Quadratic Formula .
According to the Quadratic Formula, x , the solution for Ax2+Bx+C = 0 , where A, B and C are numbers, often called coefficients, is given by :
- B ± √ B2-4AC
x = ————————
2A
In our case, A = 2
B = -9
C = 7
Accordingly, B2 - 4AC =
81 - 56 =
25
Applying the quadratic formula :
9 ± √ 25
x = —————
4
Can √ 25 be simplified ?
Yes! The prime factorization of 25 is
5•5
To be able to remove something from under the radical, there have to be 2 instances of it (because we are taking a square i.e. second root).
√ 25 = √ 5•5 =
± 5 • √ 1 =
± 5
So now we are looking at:
x = ( 9 ± 5) / 4
Two real solutions:
x =(9+√25)/4=(9+5)/4= 3.500
or:
x =(9-√25)/4=(9-5)/4= 1.000
Q. Penelope is told to clean all the windows at her house. After cleaning 9 windows her job is
30% complete. How many windows does she clean in all?
Answer:
30
Step-by-step explanation:
So we know that 9 windows is 30% so then we multiply 30 to get to the closest to 100 which is x3 so its 90%. Then you divide 30 by 9 which is 3.3 and round it to 3.
PLEASE HELP if you help you like to play among us
Subtracting a number is the same as adding its opposite.
Use this understanding to complete each of the equations below.
CLEAR CHECK
Answer:
-5 - (-7) = -5 + -7
= 2
-5 - 7 = -5 + -7
= -12
Is - .6251327657 a rational number?
Answer:
No
Step-by-step explanation:
I dont think rational numbers can be negative. Also the values are not repeating.
A subway car travels at a rate of 32 meters per second. How far does it travel in 16 seconds?
What is the slope of the graph of y = 14x + 19?
Justin wants to buy a laptop computer that costs $580. He takes a loan from the electronics store that charges him 14.5% simple interest per year. What is the balance of the loan after 2 years?
Answer: omggg I need that one too irdk I need help
Step-by-step explanation:
Answer:
It is 748.2
Step-by-step explanation:
With formula I=PRT you sub in the P R and T. once you do that you get the answer of 168.2, after you add 168.2 to the original amount which gives you the answer 748.2
Which of the following numbers can be expressed as decimals that terminate? 5 over 2, 4 over 5, 2 over 7, 4 over 3 5 over 2 and 2 over 7 4 over 5 and 4 over 3 5 over 2 and 4 over 5 2 over 7 and 4 over 3 my friend needs help
Answer:
I hope this helps!!
Step-by-step explanation:
We have given that : numbers - 9 over 7, 5 over 3, 3 over 2, 6 over 4
To find : which are terminating decimal
Terminating decimals are those whose figures to the right of some place are zero or have an end.
Solution : we check one by one,
1) 9 over 7 = 9/7 = 1.285714285714285714.... -Non terminating
2) 5 over 3 = 5/3 = 1.666666666666666...... -Non terminating
3) 3 over 2 = 3/2 = 1.5 - Terminating
4) 6 over 4 = 6/4= 3/2 = 1.5 - Terminating
I'm sorry if this is wrong :(
After one week of meals, the bottle of ketchup contains 25% of its original amount. How many ounces are in the bottle after one week?
Answer:
25/7 I think not sure though
ABCD is a square.
Solve for x
Find the measure of the largest angle
15x
24x
21x
Answer:
15€9 44090 4 lt pi jtnteu
Step-by-step explanation:
Nugyt merhaba Seher vakti geldi artık bu kadar güzel bir haber var 6sınıf merhaba hocam ben Sude ödevim tamam 44482644444 bir
Which graph matches the following statement? You are driving a steady speed, then stop for a train. When the train passes, you resume your speed.
Answer:
It is most likely B from the graph
Answer:
b is the correct answer of the question
Use the drawing tool(s) to form the correct answer on the provided graph.
Graph the solution to this system of inequalities in the coordinate plane.
3y > 2x + 12
2x + y < -5
Please respond asap
Answer:
Hope this helps
Step-by-step explanation:
9 1/12 = k/9 Solve for K
Answer assp ill give points or brainly
Answer:
yo
Step-by-step explanation:
why need answer "assp"
HELP IM BAD AT THESE KIND OF STUFF
Answer:
The total surface area is 782 inches
Step-by-step explanation:
I do not know the lateral answer sorry
The value of y varies directly with the value of x. When y = 18, x = 3.
What is the value of x when y = 54?
Answer:
9
Step-by-step explanation:
y is 6 times x, so if you divide 54 by 6, you get 9. Hope this helps :)
Of the
44
people who started a math class meeting at
10
:
00
each morning, only
37
finished the class. What fraction of people finished the class?
Answer: .8409 or 37/44
Step-by-step explanation:
PLEASE HELP!!!!!!!!!!!!!!
Solve for h .
-18 + h = 28
h =
Answer:
H = 46
Step-by-step explanation:
Add 18 to both sides to get h by itself
h = 46
Final Answer: [tex]h = 46[/tex]
Steps/Reasons/Explanation:
Question: Solve for [tex]h[/tex]. [tex]-18 + h = 28[/tex]. [tex]h[/tex] = ?
Step 1: Regroup the terms.
[tex]h - 18 = 28[/tex]
Step 2: Add [tex]18[/tex] to both sides.
[tex]h = 28 + 18[/tex]
Step 3: Simplify [tex]28 + 18[/tex] to [tex]46[/tex].
[tex]h = 46[/tex]
~I hope I helped you :)~
What is the greatest common factor of 49, 62 and 80? OA) 1 OE) 2 OC) 3 OD) 5
Answer: A (1)
Step-by-step explanation:
The way to find a common factor is by dividing the given numbers by the largest possible multiple that still gives you a whole number
A
49/1=49
62/1=62
80/1=80
This is an option
B
49/2=24.5
62/2=31
80/2=40
This is not an option, 24.5 is not a whole number
C
40/3=16.333(repeating)
This is not an option, you are not given a whole number
D
49/4=12.25
This is also not an option, 12.25 is not a whole number
Answer
Our only possible answer is A-1
WILL GIVE BRAINLIEST PLS HELP!!!!! - Which expression represents a cube root of –8?
Answer:
A
Step-by-step explanation:
Answer:
C or 2(cos(pi/3)+i sin (pi/3))
In a recent game, Syler played 4 minutes of each period. The four periods
are each 16 minutes. What fraction of the game did Syler play? Can you
represent it as a percentage
Answer: 25%
Step-by-step explanation:
whats 93, −76, 102, −101, 83, −48 least to greatest
Answer:
it iss -101, -76, -48, 83, 93
Answer:
-101, -76, -48, 83 ,93, 102
Please help i’m giving out brainliest || Q1
the answer would be a I'm my mind
There are 252525 students in Ms. Nguyen's second-grade class. In the class election, 444 students voted for Benjamin, 121212 voted for Sahil, and 999 voted for Maria.
Answer:
What is the question?? The question is not there
Answer:
129870 did not vote or voted for someone else.
Step-by-step explanation:
I don't know what your asking
Solve for m
18 - 4m = 6 - 16m
Answer:
m = -1
Step-by-step explanation:
18 - 4m = 6 - 16m
18 - 6 = 4m - 16m
12 = -12m
m = 12 / -12
m = -1
can anyone help me with this math question
The third is true
ok bye
lm'iranian
11years old