The value of x^3 + 3x^2 - 2x + 7 divided by x- 2 is (x^2 + 5x + 8) + 23/(x - 2)
What is a quotient?Quotients involve the result of dividing a dividend by a divisor.
In other words, quotient means division or the result of a division operation
How to solve the quotient?The quotient expression is given as:
(x^3 + 3x^2 - 2x + 7)/x- 2
Expand the numerator in the above expression
(x^3 + 5x^2 - 2x^2 + 8x - 10x - 16 + 23)/(x - 2)
Rearrange the terms of the numerator in the above expression
(x^3 + 5x^2 + 8x - 2x^2 - 10x - 16 + 23)/(x- 2)
Factorize the numerator in the above expression
[x(x^2 + 5x + 8) - 2(x^2 + 5x + 8) + 23]/(x - 2)
Factor out x^2 + 5x + 8
[(x -2)(x^2 + 5x + 8) + 23]/(x - 2)
Split the fractions
(x -2)(x^2 + 5x + 8)/(x - 2) + 23/(x - 2)
Divide the common factors
(x^2 + 5x + 8) + 23/(x - 2)
Hence, the value of x^3 + 3x^2 - 2x + 7 divided by x- 2 is (x^2 + 5x + 8) + 23/(x - 2)
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Complete question
Evaluate (x^3 + 3x^2 - 2x + 7)/x- 2
Answer:
4 / D | x^2 + 5x + 8 + 23/x - 2Step-by-step explanation:
The correct answer is D because when you divide & simplify the original question's equation, you get the results that are equivalent to answer D.
Evaluate f(x)=−4ex−2−4 for x=4. round to the nearest 4 decimal
Answer:
25.2
Step-by-step explanation:
I'll assume you wrote:
[tex]f(x) = 4e^{x-2} - 4[/tex]
So when x = 4:
[tex]4e^{4-2} - 4 = 4e^2 - 4[/tex] ≅ [tex]4\cdot 7.3 - 4 = 25.2[/tex]
|m² + n²|
When m = -5and n
=
3, the value of the expression is
Answer:
34
Step-by-step explanation:
You want the value of |m² +n²| for m = -5 and n = 3.
EvaluationPut the values where the variables are in the expression and do the arithmetic.
|m² +n²| = |(-5)² +3²| = |25 +9| = |34| = 34
The value of the expression is 34.
__
Additional comment
Here, the absolute value bars don't do anything, because the value between them is positive. If it were negative, they would remove the minus sign.
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Find the difference between 0.84 and 17.1. (a) Give your answer as a mixed number in its simplest form. (b) Divide your answer by 9 and give your answer correct to 2 decimal places.
Answer:
in case you don't understand feel free to ask bye.
9/16+7/8=
A.)1-3/16inches
B.)1-7/16inches
C.)1-11/16inches
D.)1/-13/16inches
Answer:
hey can you show me the pic because the question doesn't make any sense
A spinner is labeled with the numbers 1,2,3,4,5,6,7,8, & 9.
Calculate the:
a. odds of spinning a 3
b. odds of not spinning a 9
c. odds of spinning an even number
d. odds of spinning a number less than 6
Answer:
Step-by-step explanation:
d
Please help fast please
Answer:
See image
Step-by-step explanation:
It cant be wrong
Line JM intersects line GK at point N.
Horizontal line G K intersects vertical line J M at point N, forming a right angle. A line extends from point N to L, down and to the right.
Which statements are true about the figure? Select two options.
Angle GNJ is complementary to Angle JNK.
Angle MNL is complementary to Angle KNL.
Angle MNG is complementary to Angle GNJ.
Angle KNJ is supplementary to Angle MNL.
Angle GNM is supplementary to Angle JNK.
The statements that are true are angle MNL is complementary to angle KNL and angle GNM is supplementary to angle JNK. Option B and E
How to determine the statements
Ray NL creates two angles in the lower right quadrant.
The two angles created form a total of 90°, so the two angles formed are complementary. The relation is given as;
∠MNL + ∠KNL = ∠MNK = 90°
Hence ∠MNL and ∠KNL are complementary
∠GNM and ∠JNK are both right angles (and also vertical angles). They sum up to180°. They can be said to be supplementary.
∠GNM and ∠JNK are supplementary
Thus, the statements that are true are angle MNL is complementary to angle KNL and angle GNM is supplementary to angle JNK
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On November 1, the company rented space to another tenant. A check in the amount of $9,000, representing three months rent in advance, was received from tenant on that date. The payment was recorded with a credit to the
The adjusting entry to registering the Rent revenue shall be as pursues:
Unearned Rent Revenue Debit $6,000
Rent Revenue Credit $6,000
(being the adjustment made for Rent Revenue earned)
How to complete the necessary adjusting entry for December 31 by selecting the account names and dollar amounts?Adjusting entry to record the Rent Revenue are as follows:
It exists shown that on November 1, the company rented space to another tenant. A check in the amount of $9,000, symbolizing three months' rent in advance, stood obtained from the tenant on that date. The payment stood registered with a credit to the unearned rent revenue account.
Now on December 31, we must organize the adjusting access to record the Rent Revenue for the period (Nov. 1 to Dec. 31) which exists for two months. The Rent Revenue for two months shall be
9000 [tex]*[/tex] 2/3 = $6,000
Therefore the adjusting entry to registering the Rent revenue shall be as pursues:
Unearned Rent Revenue Debit $6,000
Rent Revenue Credit $6,000
(being the adjustment made for Rent Revenue earned)
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The complete question is:
On November 1, the company rented space to another tenant. A check for $9,000, representing three months' rent in advance, was received from the tenant on that date. The payment was recorded with a credit to the unearned rent revenue account. Complete the necessary adjusting entry for December 31 by selecting the account names and dollar amounts from the drop-down menus.
Find a polynomial $f(x)$ of degree $5$ such that both of these properties hold:
$\bullet$ $f(x)$ is divisible by $x^3$.
$\bullet$ $f(x)+2$ is divisible by $(x+1)^3$.
Write your answer in expanded form (that is, do not factor $f(x)$).
Answer:
Step-by-step explanation:
f(x)=ax³
ax³+2=b(x+1)³
ax³+2=b(x³+3x²+3x+1)
(a-b)x³-3bx²-3bx-b=0
A farmer determines that, on average, his chickens lay a total of 16 eggs each day. A random sample of 10 days was taken, and the mean number of eggs was 15.1 eggs. Let μ = the true mean number of eggs the chickens lay each day. Under the assumption that the true mean number of eggs is 16, 100 simulated means for samples of size 10 are shown in the dotplot. A dotplot titled mean number of eggs. A number line labeled simulated means of samples, n = 10, goes from 15.0 to 17.2. A sample mean of eggs of 15.1 or less only occurred twice. Using the dotplot, is there evidence that the chickens are laying fewer than 16 eggs? Yes, since a sample mean number of eggs of 15.1 eggs or less only occurred twice in simulated values, there is evidence that the true mean number of eggs is less than 16. Yes, since a sample mean number of eggs of 15.1 is less than the mean number of eggs of 16, there is evidence to prove that the true mean number of eggs is less than 16. No, since a sample mean number of eggs of 15.1 is only 0.9 eggs less than a mean number of eggs of 16, there is insufficient evidence that the true mean number of eggs is less than 16. No, since a sample mean number of eggs of 15.1 never occurred in the dotplot, it is not possible that a random sample of 10 eggs will have a mean number of eggs of 15.1. Therefore, there is insufficient evidence that the true mean number of eggs is less than 16.
Given the above information, it is correct to say Yes, since a sample mean number of eggs of 15.1 eggs or less only occurred twice in simulated values, there is evidence that the true mean number of eggs is less than 16. (Option A)
What is the explanation for the above?
Recall that the mean (statistically speaking) is a measure of central tendency of a probability distribution along median and mode.
You could also state that it is an expected value. Given that samples of actual value taken from the
Hence, since from 100 samples taken, the number of eggs of 15.1 or less occurred, then the true mean or actual mean is less than 16.
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What else would need to be congruent to show that ABC DEF by SAS? E AA. А B OA. BC = EF B. CF OC. ZA ZD D. AC = OF F Given: AC = DF CE F
The two triangles exist congruent if they contain two congruent corresponding sides and their contained angles exist congruent.
Let [tex]$&\overline{A B} \cong \overline{D E} \\[/tex] and [tex]$&\overline{A C} \cong \overline{D F}[/tex]
Angle between [tex]$\overline{A B}$[/tex] and [tex]$\overline{A C}$[/tex] exists [tex]$\angle A$[/tex].
Angle between [tex]$\overline{D E}$[/tex] and [tex]$\overline{D F}$[/tex] exists [tex]$\angle D$[/tex].
Therefore, [tex]$\triangle A B C \cong \triangle D E F$[/tex] by SAS, if [tex]$\angle A \cong \angle D$$[/tex].
What is SAS congruence property?Given:
[tex]$&\overline{A B} \cong \overline{D E} \\[/tex] and
[tex]$&\overline{A C} \cong \overline{D F}[/tex]
According to the SAS congruence property, two triangles exist congruent if they contain two congruent corresponding sides and their contained angles exist congruent.
Let [tex]$&\overline{A B} \cong \overline{D E} \\[/tex] and [tex]$&\overline{A C} \cong \overline{D F}[/tex]
Angle between [tex]$\overline{A B}$[/tex] and [tex]$\overline{A C}$[/tex] exists [tex]$\angle A$[/tex].
Angle between [tex]$\overline{D E}$[/tex] and [tex]$\overline{D F}$[/tex] exists [tex]$\angle D$[/tex].
Therefore, [tex]$\triangle A B C \cong \triangle D E F$[/tex] by SAS, if [tex]$\angle A \cong \angle D$$[/tex].
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A spinner is divided into five sections numbered 1 through 5. Juana records the number the spinner lands on for each of 50 spins. She computes and graphs the relative frequencies for each number. Which of the following describes the probability distribution?
A bar graph entitled Relative Frequency of Numbers Spun has x on the x-axis and Probability on the y-axis. The probability of 1 is 0.5; 2 is 0.12; 3 is 0.12; 4 is 0.12; 5 is 0.12.
constant
symmetric
negatively skewed
positively skewed
If the probability of 1 is 0.5; 2 is 0.12; 3 is 0.12; 4 is 0.12; 5 is 0.12 then the graph is somewhat positively skewed and then becomes constant.
Given the probability of 1 is 0.5; 2 is 0.12; 3 is 0.12; 4 is 0.12; 5 is 0.12.
We are required to find whether the graph is constant,symmetric ,negatively skewed or positively skewed.
We can say that the graph is somewhat positively skewed and then it becomes constant.
Positively skewed graph is a graph in which more values exist at the left side of the graph means the tail is started in end.
Constant graph is a graph in which all the values are equal to each other.
In our case except the probability of 1 all the values are 0.12 and the probability of 1 is 0.5.
Hence if the probability of 1 is 0.5; 2 is 0.12; 3 is 0.12; 4 is 0.12; 5 is 0.12 then the graph is somewhat positively skewed and then constant.
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Answer:
constant
Step-by-step explanation:
Nereo and Azeneth start recording video at the same time. Nereo's phone starts with 1,000 megabytes
(MB) of free space and uses 7 MB of space per second of video.
Azeneth's phone has 1,255 MB of free space and uses 10 MB of space per second of video.
How much free space will they have when they first have the same amount of space left?
For a class project student in health class ask every tenth student entering school if they eat breakfast in the morning
Please answer all 4 I really need help
The types of study that we have hereare the
surveyexperimentobservational survey1. The statistical question that has to be answered would beHow many students in this school ate breakfast?The type of study is the survey2. The question here would be
Does music help in the recalling of knowledge?The type of study that is going to be conducted would be the experiment.3. The answer that would be answered here would be
Does regular exercise affect the rate of heart beat of an individual?The observation of the study participants and their behavior would be used to determine this.4. The question would be
Is there a relationship between the physical activity of children and their energy levelThe type of study is the surveyRead more on research study here:
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A Ferris wheel with a diameter of 10 m and makes one complete revolution every 80
seconds. Assume that at time t = 0, the Ferris Wheel is at its lowest height above
the ground of 2 m. You will develop the equation of a cosine graph that models your
height, in metres, above the ground as you travel on the Ferris Wheel over time, t in
seconds. To do this, answer the following questions.
1. State the amplitude of the graph.
2. State the value of k in the general form y = a cos [k(x - d)] + c.
3. State the value of d.
4. State the value of c.
5. State the cosine equation of the graph.
The cosine equation of the attached graph is; y = 5 cos [( π/40)(x - (π/2))] + 3
How to plot a trigonometric graph?
The given parameters are:
Diameter = 10 m
Thus;
Radius; r = 5 m
Time; t = 80 s
Height above the ground, h = 2 m
The above means that:
Amplitude; A = 5 m
Period, T = 80 s
Minimum = 2 m
The cosine function is represented as:
y = a cos [k(x - d)] + c.
where;
A is amplitude
B is cycles from 0 to 2π
period = 2π/k
d is horizontal shift
c is vertical shift (displacement)
Thus;
2π/k = 80
k = 2π/80 = π/40
Where
c = Amplitude - Minimum
c = 5 - 2
c = 3
Shift to the left by π/2 gives;
d = π/2
Thus, the equation of the cosine graph is;
y = 5 cos [( π/40)(x - (π/2))] + 3
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Find the standard form of the equation whose graph is the line through (1, -2) and (-5, 6).
The standard form of the equation whose graph is the line through (1, -2) and (-5, 6) is 3y = -4x -2.
According to the question,
The standard form of the equation whose graph is the line through (1, -2) and (-5, 6). Now first to find slope of the equation using below formula,
Slope of the equation (m)= (change in y axis) / (change in x axis)
= (6- (-2))/(-5 - 1)
= 8/-6
=-(4/3)
Slope of the equation (m) = -4/3. whose graph is the line through (1, -2) and (-5, 6).Formula to find Standard form of the equation is y = mx + c.
-2 = -(4/3) 1 + c
c = -2 +(4/3)
c = -2/3
The standard form of the equation whose graph is the line through (1, -2) and (-5, 6) is 3y = -4x -2. y = -(4/3)x -(2/3).
⇒ 3y = -4x -2.
Hence, the standard form of the equation whose graph is the line through (1, -2) and (-5, 6) is 3y = -4x -2.
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Find a formula for the nth term
of the arithmetic sequence.
First term 9
Common difference -2
Answer:
arithmetic sequence formula: first term + (n - 1)common difference
9 + (n - 1)-2
9 + -2n + 2
= -2n + 11
Name the intersection of plane K and plane L.
Answer:
line NM
Step-by-step explanation:
Since planes extend infinitely in all directions, planes intersect at a line, not at a line segment.
Using the graph as your guide, complete the following statement.
The discriminant of the function is
Because the parabola intercepts the x-axis only once, we conclude that the discriminant is 0.
What can we say about the discriminant?
For a quadratic equation:
y = a*x^2 + b*x + c
The discriminant is:
D = b^2 - 4ac
If D = 0, there is only one real zero.If D > 0, there are two real zeros.If D < 0, there are two complex zeros.In the graph we can see that the parabola intercepts the x-axis in its vertex, then the parabola has only one real zero, then we conclude that the discriminant is equal to zero.
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You draw a rectangular picture that is 8 inches wind.It is 3 times as long as it is wind what is the area of the picture
Answer:
[tex]512 ^{2} [/tex]
the area of the picture
Find the measure of c.
Answer:
100°
Step-by-step explanation:
basically, in this situation, whatever number or angle you're given, and the number diagonally across from it are supposed to add up to 180°.
(i think its called a cyclic quadrilateral, so do with that what you will.)
What are the rational roots for the polynomial shown below?
x³ + 5x²-8r-20=0
[tex]x ^{3} + 5x {}^{2} - 8 r - 20 = 0 \\ x { }^{3} + 5x {}^{2} - 8r - 20(x {}^{3} + 5x {}^{2} ) = 0 - (x {}^{3} + 5x {}^{2} ) \\ - 8r - 20 = - (x {}^{3} + 5x {}^{2} ) \\ \\ - 8r - 20 + 20 = - (x {}^{3 } + 5x {}^{2} ) + 20 \\ \\ - 8r = x {}^{3} - 5x {}^{2} + 20 \\ \\ [/tex]
hope it is helpful
Why my foot keep makin cheese?!?!?!?
Answer:i am not sure
Step-by-step explanation:
This question is very hard to answer
Answer: I think your brain needs cheese but..............................................
Step-by-step explanation:
Don't know
please help, I have been on this question for a while. Lotta yummy PTS
Answer:
[tex]y=\left|\dfrac{1}{2}x-\dfrac{5}{2}\right|+3[/tex]
Step-by-step explanation:
Given equation:
[tex]y=\left|\dfrac{1}{2}x-2\right|+3[/tex]
Translation
[tex]f(x-a) \implies f(x) \: \textsf{translated}\:a\:\textsf{units right}[/tex]
When translating a graph to the right, subtract the number of units from the x variable.
Translating the given graph one unit to the right:
[tex]f(x-1) \implies y=\left|\dfrac{1}{2}(x-1)-2\right|+3[/tex]
Simplifying:
[tex]\implies y=\left|\dfrac{1}{2}(x-1)-2\right|+3[/tex]
[tex]\implies y=\left|\dfrac{1}{2}x-\dfrac{1}{2}-2\right|+3[/tex]
[tex]\implies y=\left|\dfrac{1}{2}x-\dfrac{5}{2}\right|+3[/tex]
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which of the following rational functions is graphed below?
Answer:
c
Step-by-step explanation:
Oblique Asymptotes
R(x) will have oblique asymptote if it can be represented in the form
1 / (Q)x
. A school band sold 432 tickets for their upcoming spring concert. This represents about 85.5% of the number of tickets sold last year. How many tickets were sold last year? (Round to the nearest whole number)
BUYING A TOWNHOUSE SELLING FOR $175,000. THE BANK IS
OFFERING A 30-YEAR FIXED RATE MORTGAGE AT 5.5% WITH A MINIMUM 20% DOWN
PAYMENT. DETERMINE THE AMOUNT OF THE DOWN PAYMENT AND THE MONTHLY PAYMENT
Using the monthly payment formula, we have that:
The down payment is $35,000.The monthly payment is of $795.87.What is the monthly payment formula?It is given by:
[tex]A = P\frac{\frac{r}{12}\left(1 + \frac{r}{12}\right)^n}{\left(1 + \frac{r}{12}\right)^n - 1}[/tex]
In which:
P is the initial amount.r is the interest rate.n is the number of payments.The down payment is 20% of $175,000, hence:
D = 0.2 x 175,000 = $35,000.
Hence the parameters are:
P = 175,000 - 35,000 = 140,000, r/12 = 0.055/12 = 0.004583, n = 30 x 12 = 360.
Then the monthly payment is found as follows:
[tex]A = P\frac{\frac{r}{12}\left(1 + \frac{r}{12}\right)^n}{\left(1 + \frac{r}{12}\right)^n - 1}[/tex]
[tex]A = 140,000\frac{0.004583(1.004583)^{360}}{(1.004583)^{360} - 1}[/tex]
A = $795.87.
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What is the solution to the equation 4 + = 6? y = 1 y = 4 y = 500 y = 2000
Step-by-step explanation:
pls make did make sense, darling!!
In the parallelogram below,
y = [? ]°
2
Z
1240
33%
Answer:
y = 33
Step-by-step explanation:
Angle y and 33 are alternate interior angles since the figure is a parallelogram and alternate interior angles are equal
y = 33
Answer:
y = 33°
Step-by-step explanation:
The diagonal of the parallelogram (a transversal) intersects two opposite and parallel sides of the parallelogram
Then
The angles of measures y° and 33° are Alternate interior angles
Then
they are congruent.
In other words , y = 33°
What is the simplest form of the expression below?
-2x²(3x²-2x-6)
Answer:
Solution Given:
To find the simplest form we need to open bracket
-2x²(3x²-2x-6)
-2x²*3x²-2x²*(-2x) -2x²*(-6)\
[tex]-6x^{4}+4x^{3}+12x^2[/tex] is a required answer.
