What is the remainder of 2x3 − 7x2 + 5x − 1 divided by (x − 3)?

−211
5
−133
2

Answer:

Kageyama x Milk

Step-by-step explanation:

djkdkdkdksksk y u h

Answer:

1. 45

2. 10

Step-by-step explanation:

Answer: a

Step-by-step explanation:

The binomial factors of x³- 4x²+x+6​ are (x+2), (x+3), and (x-1).

Using the splitting and grouping the terms:

x³ + 4x² + x - 6

= x³ + 2x² + 2x² + x - 6  [Splitting 4x² = 2x² + 2x²]

= (x³ + 2x²) + (2x² + x - 6)

= x² (x + 2) + (2x² + 4x - 3x - 6)

= x² (x + 2) + [ 2x (x + 2) - 3 (x + 2)]

= x² (x + 2) + (x + 2) (2x - 3)

= (x + 2) ( x² + 2x - 3)

= (x + 2) ( x² + 3x - x - 3)

= (x + 2) [x (x + 3) - 1 (x + 3)]

= (x + 2) (x + 3) (x - 1)

Hence, the binomial factors are (x + 2), (x + 3) and (x - 1)

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The measure of the arc depends on the outside angle formed by the two

tangents, such that the given equations can be equated to find x.

Response:

The given parameters are;

m∠JKL = 8·x - 6

\(m\widehat{JML}\) = 25·x - 13

We have that the external angle formed by two tangents, ∠JKL , is given

by the far arc, near arc theorem or the secant, tangent outside angle

theorem as follows, as follows;

\(\widehat{JML} - \widehat{JL}\) = 2 × \(\mathbf{\angle {JKL}}\)

\(\widehat{JML} + \widehat{JL}\) = 360°

\(\widehat{JML} - \widehat{JL}\)  + \(\widehat{JML} + \widehat{JL}\)  = 2 × \(\mathbf{\widehat{JML}}\)

\(\widehat{JML} - \widehat{JL}\)  + \(\widehat{JML} + \widehat{JL}\) = 2 × \(\angle {JKL}\) + 360°

Which gives;

2 × \(\angle {JKL}\) + 360° = 2 × \(\widehat{JML}\)

2 × (8·x - 6) + 360° = 2 × (25·x - 13)

2 × (8·x - 6) + 360° - 2 × (25·x - 13) = 0

-34·x + 374° = 0

374° = 34·x

\(x = \dfrac{374}{34} = 11\)

\(m\widehat{JML}\) = 25 × 11 - 13 = 262

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Answer:

3:50 pm

Step-by-step explanation:

Count backwards with the 25 min.

4:15 - 15 min >

25 - 15 = 10 >

4:00 - 10 = 3:50

Answer:

3:50 pm

Step-by-step explanation:

Starting Time + Time Interval = Ending Time

=> Ending Time - Time Interval = Starting Time

Ending Time = 4:15 pm

Time Interval = 25 minutes

Starting Time = x

=> 4:15 - 25 = x

=> 4:15 - 15 - 10 = x

=> (4:15 - 15) - 10 = x

=> 4:00 - 10 = x

=> 3:50 pm = x

So, she needs to leave the house at 3:50 pm to get to the movie theater on time.

The correct statement is that for each hour, the earnings go up by $7. Option A

If we have the equation of the line, we can substitute the value of 7 for the number of hours into the equation and solve for the earnings. The equation would typically be in the form of "earnings = slope * hours + y-intercept," where the slope represents the rate of earnings per hour and the y-intercept represents the earnings when no hours are worked.

We can find the slope of the graph to know as said above;

m = y2 - y1/x2 - x1

m = 14 - 0/2 - 0

m = 7

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Answer:

Please check the complete explanation below.

Step-by-step explanation:

We know that the slope-intercept form of the line equation

\(y = mx+b\)

where m is the slope and b is the y-intercept

                                       ANALYZING TABLE 1

Part A)

Given table 1

x           0            1              2            3

y           1             3              5            7

From table 1, the y-intercept can be determined by setting  x=0 and checking the corresponding y-value.

so at x = 0, y = 1

Thus, the y-intercept is (0, 1).

From the graph, it is clear that the line W has a y-intercept (0, 1).

Therefore, table 1 represents the line W.

Part B)

Taking two points (0, 1) and (1, 3) to find the slope using the formula

m = (y₂-y₁) / (x₂-x₁)

m = 3-1 / 1-0 = 2/1 = 2

now substituting m = 2, and b = 1 in the slope-intercept form

y = mx+b

y = 2x+1

Thus, table 1 represents the line W with the equation line y = 2x+1

                                  ANALYZING TABLE 2

Part A)

Given table 2

x           0            1              2            3

y           0             3             6            9

From table 2, the y-intercept can be determined by setting  x=0 and checking the corresponding y-value.

so at x = 0, y = 0

Thus, the y-intercept (0, 0).

From the graph, it is clear that line F has a y-intercept (0, 0).

Therefore, table 2 represents the line F.

Part B)

Taking two points (0, 0) and (1, 3) to find the slope using the formula

m = (y₂-y₁) / (x₂-x₁)

m = 3-0 / 1-0 = 3/1 = 3

now substituting m = 3, and b = 0 in the slope-intercept form

y = mx+b

y = 3x+0

y = 3x

Thus, table 2 represents the line F with the equation y = 3x

                                    ANALYZING TABLE 3

Part A)

Given table 1

x           0            1              2            3

y           2             3             4            5

From table 3, the y-intercept can be determined by setting  x=0 and checking the corresponding y-value.

so at x = 0, y = 0

Thus, the y-intercept (0, 2).

From the graph, it is clear that line N has a y-intercept (0, 2).

Therefore, table 3 represents line N.

Part B)

Taking two points (0, 2) and (1, 3) to find the slope using the formula

m = (y₂-y₁) / (x₂-x₁)

m = 3-2 / 1-0 = 1/1 = 1

now substituting m = 1, and b = 2 in the slope-intercept form

y = mx+b

y = (1)x+2

y = x+2

Thus, table 2 represents the line N with the equation y = x+2

By analyzing the graph and evaluating the objective function at each vertex of the feasible region, we can find the optimal solution, which is the vertex that maximizes the objective function z = 3x + y.

To find the optimal solution of the given problem using the graphical method, we need to plot the feasible region determined by the given constraints and then identify the point within that region that maximizes the objective function.

Let's start by graphing the constraints:

1. Plot the line 2x - y = 5. To do this, find two points on the line by setting x = 0 and solving for y, and setting y = 0 and solving for x. Connect the two points to draw the line.

2. Plot the line -x + 3y = 6 using a similar process.

3. The x-axis and y-axis represent the constraints x ≥ 0 and y ≥ 0, respectively.

Next, identify the feasible region, which is the region where all the constraints are satisfied. This region will be the intersection of the shaded regions determined by each constraint.

Finally, we need to identify the point within the feasible region that maximizes the objective function z = 3x + y. The optimal solution will be the vertex of the feasible region that gives the highest value for the objective function. This can be determined by evaluating the objective function at each vertex and comparing the values.

Note: Without a specific graph or additional information, it is not possible to provide the precise coordinates of the optimal solution in this case.

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Answer:

D

Step-by-step explanation:

when there are exponents with same bases multiplied by each other, keep the base and add the exponents

4^(3)+4^(5)=4^8

4^8 is D in this question

Answer:

Because you can't divide by zero.

Step-by-step explanation:

If x = -2, it makes the denominator 0. This will result in the equation being undefined because you can't have zero in the denominator.

The solution to the inequality will be greater than or equal to negative 5 but at x = -2, the function is not defined.

Inequality is defined as an equation that does not contain an equal sign. Inequality is a term that describes a statement's relative size and can be used to compare these two claims.

The inequality is given below.

3 / (x + 2) + 4 ≥ 3

Simplify the inequality, then we have

3 / (x + 2) + 4 ≥ 3

[3 + 4(x + 2)] ≥ 3(x + 2)

3 + 4x + 8 ≥ 3x + 6

4x - 3x ≥ 6 - 8 - 3

x ≥ -5

The solution to the inequality will be greater than or equal to negative 5 but at x = -2, the function is not defined.

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Answer:

they are the same

Step-by-step explanation:

6x - 2x + 4 ← collect like terms

= 4x + 4

and

4(x + 1) ← distribute parenthesis by 4

= 4x + 4

The 2 expressions are equivalent to 4x + 4

Answer:

No, Jamie is incorrect

Step-by-step explanation:

No, because in the expression 4(x+1)  you will first need to multiply 4 by x, your result is 4x, and then you multiply 4 by 1, you get 4, so the answer will be 4x+4.

Also in the expression 6x-2x+4  ,you will first need to subtract 2x from  6x, your result is 4x ,and then you add 4 , so the answer will be 4x + 4

Our final answer is:

6x-2x+4 = 4x + 4 and 4(x+1) = 4x + 4

The question is vague, but I'll try and help.

Answer:

She saves $100.59 a year.

Step-by-step explanation:

Saving 7% of $1,437.00 each year.

7% of $1,437.00 (0.07 x $1,437.00) = $100.59

If it asks how much she saves over a certain number of years, just multiply 100.59 times how many years it asks for. Hope this helps.

The required, if Maria takes the defensive driving course and receives the 7% discount on her auto insurance, she will save a total of $301.77 over three years.

Investment is defined as when an individual spends money on something that returns him or her higher money than the money they invested.

Here,
If Maria spends $1,437.00 on her auto insurance annually and she takes the defensive driving course, she will get a 7% discount on her liability insurance, PIP, comprehensive insurance, and collision insurance for three years.

To calculate the amount of the discount, we first need to find 7% of $1,437.00:

Discount = 0.07 × $1,437.00 = $100.59

So, the amount of the discount that Maria will receive annually is $100.59.

To find the total savings over three years, we multiply the annual discount by three:

Total savings = $100.59 × 3 = $301.77

Therefore, if Maria takes the defensive driving course and receives the 7% discount on her auto insurance, she will save a total of $301.77 over three years.

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Answer: C) (1, -1)

Step-by-step explanation:

\(\boldsymbol{\sf{\underline{\diamond System \ of \ equations \ by \ the \ reduction \ method:} }}\)

   \(\boldsymbol{\sf{We\:have\:the\:system\:of\:equations \ --\to \ \left \{ {{x+2y=1 \ } \atop {2x-3y=5 }} \right. }}\)

Multiply the first equation by 2, and the second equation by -1, then both equations must be added.

             \(\boldsymbol{\sf{\star \ 2(x+2y=-1) }}\\ \boldsymbol{\sf{\star -1(2x-3y=5) }}\)

We add these equations to eliminate x.

             \(\boldsymbol{\sf{\star \ 7y=-7 }}\)

Then we solve 7y=-7 for y (divide by 7).

               \(\boldsymbol{\sf{\star \ \dfrac{7y}{7}=\dfrac{-7}{7} }}\\ \\ \boxed{\boldsymbol{\sf{\star \ y=-1}}}\)

We place the found value of y, in one of the original equations y to solve for x.

                  \(\boldsymbol{\sf{\star \ x+2y=-1}} \\ \\ \boldsymbol{\sf{\star \ x+2(-1)=-1}}\\ \\ \boldsymbol{\sf{\star \ 0=-x+1 }}\)

Simplify (We add x to both sides.)

                  \(\boldsymbol{\sf{\star \ 0+(x)=-x+1+(x) }}\\ \\ \boldsymbol{\sf{\star \ x=1}}\\ \\ \boldsymbol{\sf{\star -2=-1-x}}\)

Add (2) to both sides.

                   \(\boldsymbol{\sf{\star \ -2+(2)=-x-1+(2) }}\\ \\ \boldsymbol{\sf{\star \ 0=-x+1 }}\)

We divide by 1.

                      \(\boldsymbol{\sf{\star \ \dfrac{x}{1}=\dfrac{1}{1} }}\\ \\ \boxed{\boldsymbol{\sf{\star \ x=1}}}\)

                                     \(\underline{\bf{ \ \ x,y \ answer\ \ \ \ }}\\\boxed{\boldsymbol{\sf{x=1,y=-1 }}}\)

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Answer:

it would be a fraction  18.333333333

Step-by-step explanation:

Answer:

42.5 inches

Step-by-step explanation:

Ivan is 75 inches tall, and Logan would be half his size, 37.5 that is, if he were 5 inches shorter. That means logan is 42.5 inches.

Answer:

Logan is 42.5 inches

Step-by-step explanation:

half of Ivan is 37.5

Logan is 5 inches taller than 37.5 so 42.5

Hope this helps!

Let me know if it does and if the answer is right

Answer:

The first box

Step-by-step explanation:

Hope this helps!

Answer:

60

Step-by-step explanation:

\(a+b+c=180\\\frac{b+c}{2}=a \rightarrow b+c=2a\\\\a+2a=180\\3a=180\\a=60\)

Therefore, the value of a is 60 degrees

The measurement closest to the area of the circle in meters is 379.94 sq. meters.

An object's area is how much space it takes up in two dimensions. It is the measurement of the quantity of unit squares that completely cover the surface of a closed figure. The square unit, which is frequently expressed as square inches, square feet, etc., is the accepted unit of area.

The word "area" refers to a free space. A shape's length and width are used to compute its area. The majority of forms and things have corners and edges. When computing the area of a certain form, both the length and width of these edges are taken into account.

Given that,

diameter = 22m

radius = 22/2 = 11m

The area of the circle is:

A = πr²

Substituting the value of π = 3.14 and r = 11 we have:

A = (3.14)(11)²

A = 379.94

Hence, the measurement closest to the area of the circle in meters is 379.94 sq. meters.

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a. About 50% of the students scored less than 78.

b. Approximately 68% of the students scored between 75 and 78.

c. Approximately 95% of the students scored between 72 and 81.

d. Approximately 99.7% of the students scored between 69 and 75.

a) The normal curve is symmetrical, meaning that the area to the left of the mean is equal to the area to the right of the mean. Since the mean score is 78, 50% of the students scored above 78 and 50% scored below 78.

b) To apply the Empirical Rule, we will assume that 68% of the data falls within one standard deviation of the mean, which in this case is 3 points. So, 68% of the students scored between 75 and 81.

c) The percentage of students who scored between 72 and 81 can be found by subtracting the area to the left of 72 from the area to the left of 81. Using the Empirical Rule, we know that 95% of the observations are within two standard deviations of the mean, so the area between 72 and 81 is equal to 95%.

d) The percentage of students who scored between 69 and 75 can be found by subtracting the area to the left of 69 from the area to the left of 75. Using the Empirical Rule, we know that 99.7% of the observations are within three standard deviations of the mean, so the area between 69 and 75 is equal to approximately 99.7%.

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Answer:

third answer

Step-by-step explanation:

solve for and isolate x by moving over all other numbers to the left and then take the fifth power to make x^1/5 = to x

Answer:

384 cm squared

Step-by-step explanation:

The area of one side of the square is 64 cm squared since a side of the square is equal and 8 x 8 = 64. There are 6 faces on a cube so 64 x 6 = 384. Therefore, the answer is 384 cm squared.

The total area of the faces of the cube is 384 cm squared.

The area of a square can be calculated as the square of the sides of a given figure.

The area of a square = side x side

Also cube is a three-dimensional representation of a square. it has 6 faces 2 on the bottom and top, 4 on the sides faces.

We have been given that each face of a cube is a square with a side length of 8 centimeters.

The area of one side of the square is 64 cm squared.

Since a side of the square is equal;

8 x 8 = 64.

There are 6 faces on a cube;

so 64 x 6 = 384.

Therefore, the total area of the faces of the cube is 384 cm squared.

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Answer:

33

Step-by-step explanation:

The probability you will pick a green or a pink marble is:

3/4

Multiply 3/4 with 44.

3/4 × 44

= 33

Hello!

surface area

= 2(4 x 2) + 2(12 x 4) + 2(12 x 2)

= 160cm²

Step-by-step explanation:

please mark me as brainlest

Step-by-step explanation:

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Given: the line that passes through the points (2,-5) and (-4, -1).

Find: the slope of the given line.

Explanation: suppose,

The slope of the line is equal to

Final answer: the required value of slope is

The zeros with each multiplicity are given as follows:

The factor theorem is used to define the functions, which states that the function is defined as a product of it's linear factors, if x = a is a root, then x - a is a linear factor of the function.

Considering the linear factors of the function in this problem, the zeros are given as follows:

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Answer:

If you're trying to solve the system of equations, the answer is

in point form: (4,4) , (-6,-16)

in equation form: x=4, y=4   x=-6, y=-16