Answer:
[tex]2x^3+ 3x^2-5x-6 = (x+2)(x+1)(2x+3)[/tex]
Step-by-step explanation:
Given polynomial [tex]g[/tex]:
[tex]g(x) = 2x^3+ 3x^2-5x-6[/tex]
A factor of polynomial is [tex](x+2)[/tex].
To find:
Equation of the polynomial as the product of linear factors.
Solution:
First of all, let us divide the polynomial [tex]g[/tex] with [tex](x+2)[/tex] to find the other factors.
As degree of polynomial is 3, when divided by a linear equation, it will result in a quadratic.
That quadratic will have 2 solutions.
Solving the quadratic in linear will give us the answer.
Result of division:
[tex]\dfrac{2x^3+ 3x^2-5x-6}{x+2} =2x^2-x-3[/tex]
Now, solving the quadratic:
[tex]2x^2-x-3 = 2x^2-3x+2x-3 \\\Rightarrow x(2x-3)+1(2x-3)\\\Rightarrow (x+1)(2x-3)[/tex]
So, the linear equation can be written as:
[tex]2x^3+ 3x^2-5x-6 = (x+2)(x+1)(2x+3)[/tex]
Which situation could be represented by the equation 38.25 = 3x?
A group of 3 friends each had $38.25. What is x, the total amount of money the friends had all together?
A group of friends had $38.25. They decided to triple their money by working for a neighbor. What is x, the total amount of money the friends had all together after working for a neighbor?
A group of 3 friends had $38.25 all together. Each friend had the same amount of money. What is x, the amount of money each friend had?
A group of friends had $38.25. They earned $3 more. What is x, the amount of money the friends have all together?
Answer:
A
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
SOMEONE PLS HELP!!!
Write a function g whose graph represents a reflection in the y-axis of the graph of f(x)=−3+|x−11|.
Transformations are used to change the position of a function from one point to another. When f(x) is reflected over the y-axis, the new function g is [tex]g(x) = x + 8[/tex]
Given that:
[tex]f(x) = -3+|x - 11|[/tex]
To reflect across the y-axis, we use the following transformation rule:
[tex](x,y) \to (-x,y)[/tex]
So, the new function is:
[tex]g(x) = f(-x)[/tex]
If [tex]f(x) = -3+|x - 11|[/tex], then:
[tex]f(-x) = -3+|-x - 11|[/tex]
Factor out -1
[tex]f(-x) = -3+|-1(x + 11)|[/tex]
Remove absolute sign
[tex]f(-x) = -3+1 \times (x + 11)[/tex]
[tex]f(-x) = -3+x + 11[/tex]
Collect like terms
[tex]f(-x) = x + 11-3[/tex]
[tex]f(-x) = x + 8[/tex]
Hence, the new function is:
[tex]g(x) = x + 8[/tex]
Read more about transformations at:
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are 35:40 and 21:24 equivalent?
Answer:
yes
Step-by-step explanation:
35:40=0.875
21:24=0.875
Answer:
No
Step-by-step explanation:
35 divided by 40 is 0.875 and 21 divided by 24 are 0.875. These are the same answer ( 0.875 = 0.875) so they are equivelent. Hope this helped! If it did, please mark me as brainliest! Thanks!
determine the slope of the line that passes through each pair of points. (-2,1) and (0,-2)
Answer:
slope = - [tex]\frac{3}{2}[/tex]
Step-by-step explanation:
Calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 2, 1) and (x₂, y₂ ) = (0, - 2)
m = [tex]\frac{-2-1}{0+2}[/tex] = [tex]\frac{-3}{2}[/tex] = - [tex]\frac{3}{2}[/tex]
help me with this please
Answer:
C is correct
Step-by-step explanation:
3+6=9
2 sides on a triangle must be greater than the other side
Find the area of the trapezoid.
Answer:
b
Step-by-step explanation:
i took that test a while back.
Consider the line y = 5x-7.
Find the equation of the line that is perpendicular to this line and passes through the point (2. – 5).
Find the equation of the line that is parallel to this line and passes through the point (2.-5).
Answer: 3
ur answer is 3
What is the binary number for 16
Answer:
Decimal Number 4-bit Binary Number Hexadecimal Number
14 1110 E
15 1111 F
16 0001 0000 10 (1+0)
17 0001 0001 11 (1+1
Step-by-step explanation:
hope this helped
how do I solve an equation with different variables on both sides? here is an example.
solve for x
9x – 2c = k
Answer:
Step-by-step explanation:
9x - 2c = k
9x = k + 2c
x = (k + 2c)/9
Oliver earns $4 a day for 7 days for doing chores. Each day, his mom takes $2 and put it into a savings account for Oliver. How much money does Oliver get to keep after 7 days?
Answer:
$14
Step-by-step explanation:
Oliver earnings per day = $4
Each day, his mom takes $2 and put it into a savings account for Oliver
His savings per day = $2
Oliver's total savings after 7 days = savings per day × 7 days
= $2 × 7
= $14
Oliver gets to keep a total of $14 after 7 days
6 is a Natural, Whole, and Integer number,
True or false
Answer:
This is true!
Step-by-step explanation:
It is natural because it is a positive integer greater than 0, it's whole because its not negative and it is an integer.
A group of friends eat at Jae's cafe. They have an online coupon. The costs of their main courses, before applying the coupon, are $13.99, $16.99, $19.99, and $21.99. The total cost of their drinks is $12.00. What will their bill be before tax and tip?
Bill before tax and tip will be generated by the original prices of main courses . The total bill is of $84.96
Given, prices of main course at cafe .
The total bill without applying the coupon for that we simply need to add respective costs of main course and drinks bill.
Just adding all the costs to find the bill:
= $(13.99 + 16.99 + 19.99 + 21.99 + 12)
=$84.96
Now since the question asks not to apply coupon and tip so the bill will remain as it is .
Know more about discount,
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ive done one but i cant seem to get the rest right please help
Answer and Step-by-step explanation:
All you have to do is plug 6 in for x.
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A) 6 + 4 = 10 The 6 and 4 add together to make 10.
B) 3(6) = 18 The 3 and 6 multiply together to make 18.
C) [tex]\frac{6}{2}[/tex] = 3 The 6 is divided by the 2 to make 3.
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#teamtrees #WAP (Water And Plant)
If I scored a 16 out of 20 on my Reading test, what percentage did I score?
Answer: 80
Step-by-step explanation:
Answer: 80%
Step-by-step explanation:
16 divided by 20 = 0.8
Can someone help me with this ASAP?
Answer:It's A I think if not try B
Step-by-step explanation:
pls help−4(3/2x−1/2)=−15
Answer:
17/6
Step-by-step explanation:
what you do first is open up the brackets..
so
-4 x 3/2x and -4 x -1/2
you then multiply these
-12/2x and 4/2
-6x and 2
(-6x+2) = -15
solve for x
-6x=-15 -2
-6x=-17
x=17/6
crossing out the negatives !
A pair of linear equations is shown:
y = −2x + 3
y = −4x − 1
Which of the following statements best explains the steps to solve the pair of equations graphically?
Graph the first equation, which has slope = 3 and y-intercept = −2, graph the second equation, which has slope = −1 and y-intercept = −4, and find the point of intersection of the two lines.
Graph the first equation, which has slope = −3 and y-intercept = 2, graph the second equation, which has slope = 1 and y-intercept = 4, and find the point of intersection of the two lines.
Graph the first equation, which has slope = −2 and y-intercept = 3, graph the second equation, which has slope = −4 and y-intercept = −1, and find the point of intersection of the two lines.
Graph the first equation, which has slope = 2 and y-intercept = −3, graph the second equation, which has slope = 4 and y-intercept = 1, and find the point of intersection of the two lines.
Answer:
C
Step-by-step explanation:
I DID THE TEST
The required explanation which is best for the solution of the given equation is option C.
What is simplification?The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
We are Given a system of equations,
y = −2x + 3 (1)
y = −4x − 1 (2)
The slope of equation 1
m = -2 and y-intercept = 3
Also The slope of equation 2
m = -4 and the y-intercept = -1
So, From option that matched the calculation
Therefore, "Graph the first equation, which has slope = −2 and y-intercept = 3, graph the second equation, which has slope = −4 and y-intercept = −1, and find the point of intersection of the two lines."
Thus, the explanation that is best for the solution is given by Option C
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Solve 2/3y+1=1/6y+8 . Check your solution.
y= __
Answer:
2/3y + 1 = 1/6y + 8
2/3y - 1/6y = 8 -1
1/2y = 7
y= 7×2/1
y= 14
Put the following equation of a line into slope-intercept form, simplifying all fractions. 3x+4y=-4
Answer:
Don't come at me if I'm wrong, but I think it's y=-3/4x-1 1/3
Step-by-step explanation:
1) you have to subtract 3x from both sides (this makes it 4y=-3x-4)
2) you then divide by 4 on both sides (it will become y=-3/4=4/3)
3) then you simplify the fractions (it becomes y=-3/4x-1 1/3)
OK y'all, one more, help please !!
Answer:
1) B
2) A
3) H
4) E
Step-by-step explanation:
SECTION 2012
QUESTION OF
ASSIGNMENTS
COURSES
Assignment - 4. Continued Proofs: Transversals and Special Angles
Attempt 1 of 4
Using the information given, select the statement that can deduce the line segments to be parallel. If there are none,
then select none.
When m_7 = m_4
O AB || DC
O none
O AD || BC
NEXT QUESTION
ASK FOR HELP
TURN IT IN
Given f(x) = 9(2 - x), what is the value of f(-3)?
Answer:
Step-by-step explanation: find the exact value by using trigomectric identities
For the number .843356, round to the nearest 10th
The answer would be .8
The reason is .8 is in the tenths place and the 4 beside it makes it stay the same
Five or more up the score four or less let it rest
Answer: 0.8
Step-by-step explanation:
Graph the equation.
y-1 = -2(x-2)
Answer:
y-1 = -2(x-2) graph:
Answer:
Graph is below
Step-by-step explanation:
Graph the line using the slope and y-intercept, or two points.
Slope:
−
2
y-intercept:
(
0
,
5
)
x
y
0
5
5
2
0
Hello I am to lazy I am also really bored so waz up
First, we would need to create an equation for this problem. Let x represent the unknown number of hours.
4(6 + x) = 48
Next, you would simplify the equation.
24 + 4x = 48
Now, you would combine like terms.
4x = 24
Your last step would be to isolate the x. To do this, you would divide both sides of the equal sign by 4.
x = 6
I hope this helps!
Answers x=6
Step-by-step explanation:
Graph the equation y=-x^2-4x+5y, on the accompanying set of axes. You must plot 5 points including the roots and the vertex. Using the graph, determine the roots of the equation -x^2-4x+5=0.
Answer: two points, 1,7
Step-by-step explanation:
The two points that are (1,0) (7,0) is the answer because they are the roots (x).
16) Find the surface area of a square pyramid: square base is 3 centimeters by 3 centimeters and the slant
height is 4.6 centimeters.
Answer:
73.2 cm
Step-by-step explanation:
area = 2 bases + 4 sides
area = 2× 3×3 + 4× 3×4.6
area = 2×9 + 4×13.8
area = 18 + 55.2
area = 73.2 cm
Answer the following correct
Answer: a
Step-by-step explanation:
The perimeter of a rectangle 220 cm and its breadth and length are in
the ratio 4:7.What is the breadth and length?
Answer:
80 is the breadth and 140 is the length
Step-by-step explanation:
2/5(5 + x) = 8
What is x if the equation equals 8
Answer:
x=15
Step-by-step explanation: