(x - 1) is thus a factor of f(x) = x3 - 2x2 - 5x + 6.
The factorization of x^3 2x^2 5x 6 is (x^2)(2x)(3) . This can be found by dividing x^3 2x^2 5x 6 by its prime factors.
You can also factor out x^2 from the expression x^3 2x^2 5x 6, which would leave you with x^2(x 2.5 6) or x^2(x 2.5 3)
Given that x3 - 2x2 - 5x + 6 = f(x),
We must determine the factored form of f in its entirety (x).
Consider (x - 1) as a factor (x).
Let's see if (x - 1) is a factor of f. (x).
f(1) = (1) (1)
3 - 2(1) (1)
2 - 5(1) + 6
= 1 - 2 - 5 + 6
= 6 - 6
= 0
f(1) = 0
(x - 1) is thus a factor of f(x) = x3 - 2x2 - 5x + 6.
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What is the simplest form of this expression? 2m^3(-m - 3) + 7m^4
What is the solution to the system Y 3x 7 and 6x 2y 12?
The system of equations y = 3x - 7 and 6x - 2y = 12 has no solution. That is the lines of the equation is parallel.
To solve a system of equations, you can use substitution or elimination.
One method to find the solution for this system of equations is substitution. To use this method, you can solve one equation for one variable in terms of the other variable, and then substitute this expression into the other equation.
Solving for y in the first equation:
y = 3x - 7
Then substitute the result in the second equation:
6x - 2(3x - 7) = 12
6x - 6x + 14 = 12
14 = 12
That clearly is not true and this system of equations has no solution.
--The question is incomplete, answering to the question below--
"What is the solution to the system y = 3x - 7 and 6x - 2y = 12?
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The red line on this graph is y=-2x-1
The dotted line is y=x.
Write the equation of the inverse of this function
Answer:
Step-by-step explanation:
A triangle ha an area of 142. 74 quare feet and a height of 18. 3 feet. What i the length of the bae?
A triangle having an area of 142. 74 ft^2 and a height of 18. 3 ft, has a base of 15.6 ft.
What is the area of a triangle?
In a two-dimensional plane, a triangle's area is the area that it completely encloses. A triangle is a closed shape with three sides and three vertices, as is common knowledge. The entire area occupied by a triangle's three sides is referred to as its area. Half of the product of the triangle's base and height provides the general formula for calculating the area of the triangle.
The area of the triangle is 142.74 ft^2.
The height of the triangle is 18.3 ft.
Let the base of the triangle be x.
The formula for area of a triangle is -
Area = (height × base)/2
Plugging in the values in the equation -
142.74 = (18.3 × x)/2
142.74 = 18.3x/2
18.3x = 285.48
x = 285.48/18.3
x = 15.6
Therefore, the base of the triangle measures 15.6 ft.
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hiii so image below, this is super easy bt its hard when you're sleep deprived like me, so please help
You in seventh grade? or nah
Is (1, 1) a solution to this system of equations?
4x + 14y = 18
9x + y = 10
Answer:
yes
Step-by-step explanation:
Nolan is a waiter at a restaurant. Each day he works, Nolan will make a guaranteed wage of $25, however, the additional amount that Nolan earns from tips depends on the number of tables he waits on that day. From past experience, Nolan noticed that he will get about $11 in tips for each table he waits on. How much would Nolan expect to earn in a day on which he waits on 12 tables? How much would Nolan expect to make in a day when waiting on tt tables?
Nolan would expect to earn $157 in a day when he waits in 12 tables.
Now, According to the question:
We have the following information:
Each day Nolan works, Nolan will make a guaranteed wage of $25, however the additional amount that Nolan earns from tips depends on the number of tables he waits on that day. From past experience, Nolan noticed that he will get about $11 in tips for each table he waits on.
Now, for waiting on 12 tables, he will get the fixed amount of 25 dollars and the amount for 12 tables.
So, the total amount will be:
25+11 × 12
$157
Hence, Nolan would expect to earn $157 in a day when he waits in 12 tables.
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Please help, I need answers ASAP.......
Answer:
hope it is helpful to you
What is the slope of the linear regression prediction equation if a person with 12 years of schooling
On solving the provided question, we can say that the e slope of the linear regression prediction equation if a person with 12 years of schooling is 1.
what is linear regression?When modeling the relationship between a scalar answer and one or more explanatory variables in statistics, linear regression is a linear method. Simple linear regression is used when there is only one explanatory variable. The procedure is known as multiple linear regression if there are numerous. A straight line is used to evaluate the relationship between the independent and dependent variables in a regression model known as simple linear regression. Both factors ought to be quantitative. The effect of the independent variable on the dependent variable is examined using simple linear regression. The second scenario, known as multiple linear regression, examines how various independent factors affect the dependent variable.
the e slope of the linear regression prediction equation if a person with 12 years of schooling
a. 1(correct)
b. 12
c. 13
d. 1,500
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What is the solution to the inequality below?
√x <9
Answer:
x<81 I hope this is the correct answer.
A cone and a sphere have the same volume the base of the cone has a radius of 8 feet and the sphere has a radius of 6 feet what is the height of the cone?
Step-by-step explanation:
Volume of Cone=
[tex] \frac{1}{3} \pi \: r {}^{2} h[/tex]
Volume of Sphere=
[tex]\frac{4}{3} \pi \: r {}^{3} [/tex]
Since VC = VS
[tex] \frac{1}{3} \times 3.14 \times 8 {}^{2} \times h = \frac{4}{3} \times 3.14 \times 216[/tex]
66.99h = 904.32
h = 904.32 ÷66.99
h= 13.5 feet
What is the formula for directed line segment?
The formula for a directed line segment is A = (x2 - x1, y2 - y1). It is a vector equation, meaning that it describes the direction and magnitude of a line segment, rather than its endpoint coordinates.
A directed line segment is a line segment with a starting point and an ending point, where the direction of the line can be described in terms of its magnitude and direction. To calculate the directed line segment, first calculate the difference between the x-coordinates of the start and end points, and then calculate the difference between the y-coordinates of the start and end points. The result is the vector A, which describes the magnitude and direction of the line segment.
For example, consider a line segment with start point (1, 2) and end point (4, 6). To calculate the directed line segment, first calculate the difference between the x-coordinates of the start and end points (4 - 1 = 3). Then, calculate the difference between the y-coordinates of the start and end points (6 - 2 = 4). The result is the vector A = (3, 4). This vector describes the magnitude and direction of the line segment, with the magnitude being the length of the line segment, and the direction being the direction from the start point to the end point.
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hi can someone pls help me
:)
*Can someone please help me out with this one?*
A nutritionist collects data from 25 popular breakfast cereals. For each cereal, the number of calories per serving is
plotted on the x-axis against the number of milligrams of sodium on the y-axis. The value of , for the resulting
scatterplot is 0.83.
How would the value of the correlation coefficient change if sodium was plotted on the x-axis
and calories plotted on the y-axis?
A.The value of r would increase
B.The value of r would not change
C.The value of r would change to -0 83.
D.The value of r could increase or decrease, depending of the strength of the new relationship.
Answer:
B) The value of r would not change
Step-by-step explanation:
If there's a positive association between sodium and calories, that's like saying there's a positive association between calories and sodium. Therefore, the value of r would not change because both variables are still increasing with each other.
what is 8 1/4/d=2/11
[tex]8\frac{1}{4}d =\frac{2}{11}[/tex]
a) Simplify both sides of the equation.
[tex]\frac{33}{4}d=\frac{2}{11}[/tex]
b) Multiply both sides by 4/33.
[tex](\frac{4}{33} ) \times (\frac{4}{33}d)=(\frac{4}{33}) \times (\frac{2}{11} )\\[/tex]
d = [tex]\frac{8}{363}[/tex]
[tex]8\frac{1}{4} \div d=\frac{2}{11}[/tex]
= [tex]\frac{33}{4d} =\frac{2}{11}[/tex]
a) Cross Multiply.
[tex](33)\times(11)=2\times 4d[/tex]
[tex](363) =8d[/tex]
b) Flip.
[tex]8d=(363)[/tex]
c) Divide both sides by 8
[tex]\frac{8d}{8} = \frac{363}{8}[/tex]
[tex]d=\frac{363}{8}[/tex]
Define an exponential function, f(x), which passes through the points (0,125) and (3,8). Enter your answer in the form a*b^x
Answer:
Step-by-step explanation:
put (0, 125) in a*b^x, we get a = 125, then put (3,8) in 125*b^x, we get 125*b^3=8
b^3=8/125
b=2/5
then the answer is 125*(2/5)^x
Suppose Tommy walks from his home at (0, 0) to the mall at (0, 8), and then walks to a movie theater at (9, 8). After leaving the theater Tommy walks to the store at (9, 0) before returning home. If each grid square represents one block, how many blocks does he walk?
Answer:
I think he walks 25 blocks
Step-by-step explanation:
he walks 0,8 then 9,8 then 9,0 so he goes 8y + 9x + 8y = 25 i don't know if that's right tho.
Help me pleaseeeeeee
Answer:
only y= 8x-6
Step-by-step explanation:
in order know of an equation is linear is if the equation when graphed makes a straight line the equation should be in the format y=mx+b or y=mx if it is a proportional relationship.
How many different outfits can you make from 5 T-shirts, 3 pairs of
jeans, and 2 pairs of shoes?
Answer:
You can have a total of 15 outfits.
Step-by-step explanation:
Answer:answer above is correct
Determine whether each system of equations has no solution, one solution, or infinitely many solutions
Show work please:)
Answer:
One solutionStep-by-step explanation:
Given system:
y = -3-3(x + 9) = yThe first equation is a horizontal line, the second equation is a line with a slope of -3.
Since the lines have different slopes, they intersect at one point.
As there is one intersection, the system has one solution.
Please answer fast! this is my first question so I think I'm giving 10 points? I'm not sure how it works-
if the producer in a food chain has 1000 kcal of energy available, how much energy would each of the consumers have?
Answer:
100kcal
10kcal
1kcal
Step-by-step explanation:
Each level you go up, you only get 10% of the total energy
may someone please help me out
9h is the correct answer I believe.
The formula for volume of a cube is Length × Width × Height
3 × 3 × h = 9h
Volume is cubed not squared, so I would choose 9h.
What is 7,648 rounded to the nearest hundred?
Answer:
7,600.
Step-by-step explanation:
The 6 is the hundreds digit - as the next digit after it is 4 we leave the 6 as it is so the answer is 7,600.
Answer:
7600
Step-by-step explanation:
First, 7648 rounded to the nearest hundred is:
7600
Valentina is baking jumbo cinnamon rolls for a family breakfast. She uses all the dough she made to form 12 cinnamon rolls of equal weight. The recipe usually makes 36 ounces of dough, but Valentina made more dough than that so she can have larger cinnamon rolls.
The required inequality to represent the above data regarding Valentina is x > 3.
How to illustrate the inequality?Valentina uses more than 36 ounces of dough 12 cinnamon rolls made by Valentina of weight ounces of dough represented by x ,then required inequality is given by 12x > 36.
Number of cinnamon rolls made by Valentina = 12
Weight of all 12 cinnamon rolls are equal
x represents the ounces of dough used by Valentina to make cinnamon roll.
Ounces of dough used by Valentina is more than 36.
Required inequality to represent the above data is given by:
12x > 36
Divide by 12 form both the sides we get,
12x /12 > 36/12
x > 3
The inequality is x > 3.
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Complete question
Valentina is baking jumbo cinnamon rolls for a family breakfast. She uses all the dough she made to form 12 cinnamon rolls of equal weight. The recipe usually makes 36 ounces of dough, but Valentina made more dough than that so she can have larger cinnamon rolls. Let x represent how many ounces of dough Valentina uses for each cinnamon roll. Which inequality describes the problem?
Miranda conducted a survey on how many hours per day students spend surfing the internet versus how many pets they have. She surveyed ten of her classmates and recorded the data in the scatter plot below.
Use technology to determine which equation best models the data in the scatter plot.
A.
y = -0.4x + 6.3
B.
y = -7.4x + 0.7
C.
y = -0.7x + 7.4
D.
y = -6.3x + 0.4
Answer:
Step-by-step explanation:
a
a net of a building is show below what is the total surface area of the building block
Answer:D
Step-by-step explanation:
Answer:
the first or the two
Step-by-step explanation:
Need help ASAP !!! Right answer please
Answer:
[0,∞) or x ≥0
Notice that the graph doesn't go to the left of x = 0. It only goes right. This means that the domain (all possible values of x), can only be the values above 0.
The cost of tuition at a college is $12,000 and is increasing at a rate of 11% each year. Use an exponential function to find the cost of tuition after 4 years.
Answer:
17280
Step-by-step explanation:
11% of 12000= 1320
1320x4=5280
5280+12000=17280
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Marga earns 5% commission on the value of the homes she sells. Which equation can be used to determine her commission (C) on selling a home worth $375,000?
Answer:
375,000x0.05
Step-by-step explanation:
Multiply and it should be how much she receives
Amount of commission is $18,750
C = [Selling cost of house]rateGiven that;
Rate of commission = 5%
Selling cost of house = $375,000
Find:
Amount of commission
Computation:
Amount of commission
C = [Selling cost of house]rate
Amount of commission = [$375,000][5%]
Amount of commission = [$375,000][0.05]
Amount of commission = $18,750
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You need to split it in half then multply then add
Answer: 322in 2
Step-by-step explanation:
1. Cut it in half
2. 8*21=168 (first half)
3. 11*14=154 (second piece)
4. Add 168 and 154, equals to 322in 2