Given
f(x) = 6x^3 +19x²-29x +c where c is a constant
if (x-1) is a factor of f(x),
find value of c
Hence, solve the equation of f(x) =0.
Answers
Answer:
[tex]c=4\\x=1, x=\frac{-25+\sqrt{721}}{12},x=\frac{-25-\sqrt{721}}{12}[/tex]
Step-by-step explanation:
See the picture attached
Related Questions
Find tan θ if sec θ = root 37/6 and sin θ < 0
Answers
An online auction charges sellers a flat fee of $1.20 and 2% of the amount of the sale. Let A be the amount of the sale in dollars and C be the charge of the online auction. Explain whether the solutions A=−5 and C=1.1 are viable.
The solutions are not viable because the amount charged is not a whole number.
The solutions are viable because the amount of the sale is an integer.
The solutions are viable because the amount charged is positive.
The solutions are not viable because the amount of the sale cannot be negative
Answers
Answer:
The solutions are not viable because the amount of the sale cannot be negative
Step-by-step explanation:
We are told that;
Let A be the amount of the sale in dollars and C be the charge of the online auction
This means that both values of A and B should be non-negative integers.
Now, we are also told that An online auction charges sellers a flat fee of $1.20 and 2% of the amount of the sale.
We can conclude that the solution is not viable because the amount of sale of -1.1 cannot be negative.
12 = -4(-6x - 3)
What does x=
Answers
Answer:
x=0
Step-by-step explanation:
Answer:
x=24
Step-by-step explanation:
12= -4(-6x-3)
12=24x+12
-24x= 12-12
-24x=0
X=24
The equation of the line that passes through points (0, negative 7) and (2, negative 1) is shown below. What value is missing from the equation?
y = _______x – 7
Answers
Answer:
1/3
Step-by-step explanation:
2-0=2
-1 - -7 = 6
2/6. = 1/3
The ratio of boys to girls in a classroom was 9:8. Half of the girls left the classroom, and then there were 15 more boys than girls. Part i.) How many children were in the classroom in the beginning?
Answers
Answer:
i pretty sure it's 17
Step-by-step explanation:
Answer:
17
Step-by-step explanation:
In a survey of 3500 people who owned a certain type of car, 1750 said they would buy that type of car again. What percent of the people surveyed were satisfied with the car?
Answers
Answer:%-0.175
Step-by-step explanation: subtract 17.5 percent - 35 percent
Find the equation of the linear function represented by the table below in slope-intercept form.
Answers
pick 2 points: (-3,9), (1,-7)
(-7-9)/(1+3) = -16/4 = -4
Slope intercept form: y = mx + b
y = -4x + b, plug in a point
9 = -4(-3) + b
9 = 12 + b, b = -3
Equation: y = -4x -3
The sum of two numbers is 17. The difference of the numbers is 3
Answers
Please Help! WILL GIVE BRAINLIEST
Answers
Answer:
{-1, 0, 1, 2}
Step-by-step explanation:
Answer asap. Just the image below.
Answers
Answer:
x>9
Step-by-step explanation:
Remark
You have to watch this question when you divide by a minus. We should try to eliminate that possibility.
Equation
7 - 2/3 x < x - 8 Add 2/3 x to both sides
7 < x + 2/3 x - 8 Combine the like terms on the right.
7 < 1 2/3 x - 8 Add 8 to both sides
7 + 8 < 5/3 x Combine the left
15 < 5/3 x Multiply both sides by 3/5
15*3/5 < 5/3*3/5 x
9 < x
Since all the answers have the x on the left, we have to put this answer so that x is on the left. Be very careful. The big end of the arrow is towards the x. We have to make sure it stays that way.
x > 9
The answer is A
will make brainliest answer!!
If f(x) = 3x-2 and g(x) = 2x+1, find (f+g)(x)
A. x-3
B. x-1
C. 5x-1
D. 5x-3
Answers
Answer:
C. 5x - 1Step-by-step explanation:
Givenf(x) = 3x-2 and g(x) = 2x+1To find (f+g)(x)Solution(f+g)(x) =f(x) + g(x) =3x - 2 + 2x + 1 =5x - 1B.6 Based on Activity B, define phrase, clause and sentence.
Phrase:
Clause:
Sentence:
Answers
Answer:
Phrase:they are small groups standing together as a conceptual unit
Clause:it is a unit of grammatical organization next below the sentence in rank
Sentence: it is a set of words that is complete in itself
jimmy scored 49 goals in soccer this season. Tommy scored 7 times fewer goals. how many goals didi Tommy score?
Answers
Answer:
7 goals
Step-by-step explanation:
Jimmy scored 49 goals, and Tommy scored 7 times fewer than he did. We now know that an unknown number multiplied by 7 equals 49. This can be represented in an equation:
49/7 = x
x represents the amount of goals Tommy scored. Let's solve our equation to find the answer:
49/7 = 7
7 = x
Tommy scored 7 goals.
I hope this helps :)
The table shows the highest and lowest golf scores for your cousin and your friend over the summer. Find the ranges of golf scores for your cousin and your friend. Who has the greater range of scores?
highest +6, +3
lowest -2, -3
Answers
Answer:
Cousin has a greater range of score.
Step-by-step explanation:
Range = Highest No. - Lowest No.
Range of cousin's score = +6 - (-2)
= +6+2 = 8
Range of friend's score = -2 - (-3)
= -2 + 3 = 1
Cousin has a greater range of score.
[tex]\rule[225]{225}{2}[/tex]
Hope this helped!
~AnonymousHelper1807The sum of 56x2 and 56x2 is 56x______?
Answers
Answer:
56x4
Step-by-step explanation:
56x2= 112 so since you have 56x2 twice you want to add 112+112 to get 224 now what you wanna do is to divide 56 from 224 and your answer will be 4 so you can say 56x4
To rent a meeting room a college charges a reservation fee of $14 an additional fee of four dollars per hour. The chemistry club wants to spend less than $50 in renting a room. What are the possible numbers of ours a chemistry club could rent the meeting room?
Answers
If ex + e⁻¹= 2, then x =..
Answers
Answer:
[tex] \rm x = \dfrac{2e - 1}{ {e}^{2} } [/tex]
Step-by-step explanation:
[tex] \rm Solve \: for \: x: \\ \rm \longrightarrow ex + {e}^{ - 1} = 2 \\ \\ \rm \longrightarrow e x + \dfrac{1}{e} = 2 \\ \\ \rm Subtract \: \dfrac{1}{e} \: from \: both \: sides: \\ \rm \longrightarrow e x + \dfrac{1}{e} - \dfrac{1}{e} = 2 - \dfrac{1}{e} \\ \\ \rm \longrightarrow ex = \dfrac{2e}{e} - \dfrac{1}{e} \\ \\ \rm \longrightarrow ex = \dfrac{2e - 1}{e} \\ \\ \rm Divide \: both \: sides \: by \: e: \\ \rm \longrightarrow \dfrac{ex}{e} = \dfrac{2e - 1}{e \times e} \\ \\ \rm \longrightarrow x = \dfrac{2e - 1}{ {e}^{2} } [/tex]
1× 1 ÷58 +26=........
Answers
Answer:
= 117/58
Step-by-step explanation:
First of all 1*1 = 1 because a number multiplied by 1 is always itself. We then have to divide 1 by 58 is 0.017 and that +26 is equal to 26.017. Lastly, we have our answer 26.017 or if you wanted it as a fraction 26 1/58!
Write an equation in standard form of the line shown.
Answers
Answer: y= -2x + 4
Hope this helps.
Explanation: You have to find your slope first in order to put it into standard form. What you have to do to find your slope is y1-y2/x2-x1 so you plug your points into that formula and have 0-2/2-1 which equals -2, so your slope is -2. You now have to put this into standard form, the easy way of doin this is y=mx+b, you have to find b so to do so you have to plug your numbers in from only one pair of points. We’ll use (2,0) so then you’ll have 0=-2(2)+b, we multiply -2*2 and get 4 and you can’t divide 4 into 0 because then you’ll have an undefined line. so your b is 4 which means your equation is -2+4x.
which of the equations is the correct representation of the following?
six is the product of two consecutive integers
x(x+1)=16
x+(x+1)=6
x(x-2)=6
x(x+1)=6
Answers
Answer:
x(x+1)=6
Step-by-step explanation:
6= 2 numbers, one after the other, so you have the same number and add 1 to make the second number.
Example:
6=2.5 and 3.5
Answer:
X * (x+1) = 6
Step-by-step explanation:
A cardiologist is interested in the average recovery period for her patients who have had heart attacks. Match the vocabulary word with its corresponding example.
Answers
Answer:
1. All heart attack patients that the cardiologist has cared for or will care for in the future ⇒ B. POPULATION (entire group of individuals from where the sample must be chosen)
2. The 32 heart attack patients who were observed by the cardiologist ⇒ D. SAMPLE (the group that was observed)
3. The average recovery time for all heart attack patients that the cardiologist has or will treat ⇒ A. PARAMETER (the mean of the whole population)
4. The average recovery time for the 32 heart attack patients ⇒ E. STATISTICS (the mean of the sample)
5. The recovery time for a heart attack patient ⇒ F. VARIABLE (the data's attribute or value)
6. The list of all 32 heart attack patients' recovery times ⇒ C. DATA (information collected form the sample)
Noah is thinking of two fractions that have a sum of 35. Each fraction has a numerator of 1.
What are the denominators of the fractions?
Answers
Answer:
2 and 10
Step-by-step explanation:
Look at the figure. Find the value of x?
Answers
Answer:
since they both bisect themselves it means they are equal
i.e 3x=5x-30
3x-5x=-30
-2x=-30
minus cancels minus
2x=30
x=15
Answer:
x = 15
Step-by-step explanation:
3x = 5x - 30
-2x = -30
x = 15
Michael’s father bought him a 16-foot board to cut into shelves for his bedroom. michael plans to cut the board into 11 equal size lengths for his shelves.the saw blade that michael will use to cut the board will change the length of the board by -0.125 inches for each cut. how will this affect the total length of the board?
Answers
Step-by-step explanation:
you have to know how many inches make a foot or vice versa the you do simple proportion by equating the inches to the foot to get the answer. simple as abc
Which equation has a slope of -2 and passes through the point (1,-6)?
A. y=-2x-4
B. y=-10x+3
C. y=3x-10
D. y=3x+10
Answers
Answer:
y=-2x-4
Step-by-step explanation:
Given that,
Slope, m = -2
It passes through the point (1,-6).
We need to find the equation of line that passes throgh the given point. It can be calculated as:
[tex]y-y_1=m(x-x_1)[/tex]
Put y₁ = -6, x₁ = 1 and m = -2
[tex]y-(-6)=(-2)(x-1)\\\\y+6=-2x+2\\\\y+2x+6-2=0\\\\y=-2x-4[/tex]
Hence, the equation of line is y=-2x-4.
WILL GIVE BRAINLIEST! What is the constant of proportionality between cups of rice and cups of water shown in this table?
Cups of Rice Cups of Water
1 1.5
2 3
3 4.5
4 6
5 7.5
1.5
0.5
2
This is a trick question as this is not proportional.
None of the Above
Answers
Answer:
E (none of the above)
Step-by-step explanation:
1 = k(1.5)
2 = k(3)
Therefore, k = 2/3
and when we put k = 2/3 into all values in the table we notice it is right
but it could be "A" also if the relationship was cups of water to cups of rice
Find the additive inverse of 0.25
Answers
Subtract 0.25 from both sides
Additive inverse = -0.25
can somone help me please
Answers
Answer:
The slides is 36 and the angle is 180.
Step-by-step explanation:
14.4m+15.6m+6m=36
90+30+50=180
If they ask why it is 180 because when adding all the angles it has to give you a total of 180.
How do you solve
X + 17 = 50
Answers
Answer:
x=33
Step-by-step explanation:
subtract 17 from both sides, and then you are left with x=33
Solve the system of equations by any method.
5x+9y =16
x+2y =4
Answers
Answer:
The system of equations has one solution at (-4, 4).
Step-by-step explanation:
We are given the system of equations:
[tex]\displaystyle\left \{ {{5x+9y=16} \atop {x+2y=4}} \right.[/tex]
We can use elimination to solve this system. We need to multiply the second equation by -5 so we can cancel out our x-terms.
[tex]-5\times(x+2y=4) \rightarrow -5x - 10y = -20[/tex]
Therefore, our system now becomes:
[tex]\displaystyle\left \{ {{5x+9y=16} \atop {-5x-10y=-20}} \right.[/tex]
Now, we can add these two equations together and solve for y.
[tex]\displaystyle(5x + 9y) + (-5x - 10y) = 0 - y\\\\16 + (-20) = -4\\\\-y = -4\\\\\frac{-y}{-1}=\frac{-4}{-1}\\\\y = 4[/tex]
Now, we can substitute our value for y into one of the equations and solve for x.
[tex]x+2(4)=4\\\\x + 8 = 4\\\\x = -4[/tex]
Therefore, our final solution is (-4, 4).