Difference of Squares gives which complex factors for the expression x² +11?
A. (x+√11)2(x-i√11)²
B. (x+√11)(x+√11)
C. (x-i√11)(x-√11)
D. (x+√11)(x - √11)
Answer:
Step-by-step explanation:
Discussion
i has to appear somewhere. That lets D and B out. They are both wrong.
C has only one i. It can't be right either. You need 2 i-s which will multiply to +1 when squared. That leaves you with a.
The way a is written, it can't be the answer either. For one thing, that 2 makes the answer question at best.
I would say there is no correct answer. Could you check the question? Also it would be a good idea to ask your instructor how this works, in case I'm wrong.
Which of the following is true about horizontal asymptotes?
a.) A function has a horizontal asymptote at the value of y = a if the line y = a can be used to estimate the end behavior of a function and if f ( x ) → a as x → ∞ or x → − ∞ .
b.) All horizontal asymptotes describe what happens when x gets close to 0 .
c.) All rational functions have at least one horizontal asymptote.
d.) All horizontal asymptotes describe what happens when the denominator's value gets close to 0.
A function has a horizontal asymptote at the value of y = a if the line y = a can be used to estimate the end behavior of a function and if f ( x ) → a as x → ∞ or x → − ∞ is the correct statement about horizontal asymptotes. Option A
What are horizontal asymptotes?A horizontal asymptote of a graph can be defined as a horizontal line at y = b where the graph tend to approach the line as an inputs approach to infinity ( ∞ or –∞).
A slant asymptote of a graph is known as a slanted line y = mx + b where the graph approaches the line as the inputs approach the positive infinity ∞ or to the infinity –∞.
Thus, a function has a horizontal asymptote at the value of y = a if the line y = a can be used to estimate the end behavior of a function and if f ( x ) → a as x → ∞ or x → − ∞ is the correct statement about horizontal asymptotes. Option A
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Interior and exterior triangle angles
Answer:
Step-by-step explanation:
what is the measure of this
Answer:
60
Step-by-step explanation:
140-80=60
Use a graphing calculator or other technology to write the quadratic equation that best fits the data set. X 0 -1 -2. y 3 -3 -5
The quadratic equation of the data is y = 7x^2 + 13x + 3
How to determine the quadratic equation?The table of values is given as:
X 0 -1 -2.
y 3 -3 -5
When the above values are added to the graphing calculator, we have the following summary
a = 7
b = 13
c = 3
A quadratic equation is represented as:
y = ax^2 + bx + c
So, we have:
y = 7x^2 + 13x + 3
Hence, the quadratic equation of the data is y = 7x^2 + 13x + 3
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Determine the function f(x)= kx+m if f(x-1)-f(x)=2 and f(-2)=1-m
[tex]f(x) = kx + m \\ f(x - 1) = k(x - 1) + m[/tex]
[tex]f(x - 1) - f(x) = 2 \\ k(x - 1) + m - kx - m = 2 \\ kx - k + m - kx - m = 2 \\ - k = 2 \\ k = 2[/tex]
[tex]f( - 2) = k( - 2) + m = 1 - m \\ k( - 2) + m = 1 - m \\ ( - 2)( - 2) + m = 1 - m \\ 4 + m = 1 - m \\ 2m = - 3 \\ m = \frac{ - 3}{2} [/tex]
[tex]f(x) = - 2x - \frac{3}{2} [/tex]
please no scam please answer ASAP 30 points need steps
QUE :
75 - [5 + 3 of (25 - 2 × 10)]
= 75 - [5 + 3 of ( 25 - 20)]
= 75 - [5 + 3 of 5]
= 75 - [5 + 15]
= 75 - 20
= 55
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You are offered two different sales jobs. The first company offers a straight commission of 5% of the sales.
The second company offers a salary of $ 210 per week plus 2% of the sales. How much would you have to
sell in a week in order for the straight commission offer to be at least as good?
Answer:
The offers are equal at $7,000, after $7,000 more money will be made with a straight commission.
Step-by-step explanation:
.05x = .02x + 210 Subtract .02x from both sides.
.03x = 210 Divide both sides by .03
x = $7,000.
Find the slope between the two points given. Then, use the slope and one of the points to write the
equation of the line in Slope-Intercept form. State the slope and y-intercept.
Answer:
The slope is -2
y =-2x - 1
Step-by-step explanation:
The slope is -2 or -2/1.
The slope is the change in y over the change in x. The ordered pair is written in the form (x,y) The first number is the x coordinate and the second number is the y coordinate.
(1, -3) (0, -1) The -1 and the -3 are the y coordinates. We subtract these.
-1 -(-3) is the same as
- 1 + 3 which is 2.
(1, -3) (0, 1,) the 1 and the 0 are the x coordinates. We subtract these
0 - 1 is -1
The change in y is 2 and the change in x is -1, so our slope is -2/1 which is the same as -2.
To write the equation we need the slope and the y intercept. We have the slope now. We need to find the y-intercept. We will use the slope and one of the points to find the y-intercept. It does not matter which of the two points (1,-3) or (0,-1). I will use (0,-1)
y = mx + b The b is the y-intercept which is what we are looking for
-1 = -2(0) + b
-1 = 0 + b
-1 = b
y = -2x -1
The function h(x) is a transformation of the square root parent function,
f(t) = t. What function is H(x)?
Answer:
A. [tex]h(x)=\sqrt{x-3}[/tex]
Step-by-step explanation:
Step 1: DefinitionThe parent function of [tex]\sqrt{x}[/tex] is translated to the left when [tex]h[/tex] is positive in the transformation [tex]\sqrt{x+h}[/tex].
If [tex]h[/tex] is negative, the graph translates towards the left with the distance equal to the value of [tex]h[/tex].
Step 2: ImplementationHere the graph moved 3 units towards the right. This means that [tex]h[/tex] is negative and has the value of 3.
So, plugging that into the parent function for translation, the function becomes:
[tex]h(x)=\sqrt{x-3}[/tex]
Please Help! Brainliest Avaliable! Literally Multiple Choice!
It's very simple. Subract 554.26 from 866.32
then, we got the difference is
312.06
thank you
Brainlist please.
How would you describe the difference between the graphs of f(x) = 2x² and
g(x) = -2x²?
O A. g(x) is a reflection of f(x) over the line y = x.
B. g(x) is a reflection of f(x) over the line y = -1.
C. g(x) is a reflection of f(x) over the y-axis.
D. g(x) is a reflection of f(x) over the x-axis.
Answer:
D. g(x) is a reflection of f(x) over the x-axis.
Step-by-step explanation:
So when you have the equation: [tex]-2x^2[/tex] it's just negating the value of f(x), which is [tex]2x^2[/tex] and since f(x) represents the y-value, you're negating the y-value and the x-value is unchanged. So each point on f(x) was originally: (x, f(x)) and now it's (x, -f(x)). Since the y-value is changing, it's going to be reflecting across the x-axis. So g(x) is a reflection of f(x) over the x-axis.
a company has six employees.The salary of five of the employees are P2200,P1300,P800,P940 and P560.When the sixth employee is included,the total monthly salaries of the employees becomes P7000.
Calculate the salary of the sixth employees
The company is joined by two more employees whose salaries are of equal amounts.The mean salary of all 8 employees is P1100
Calculate the monthly salary of each of the new employees
Answer:
First answer is 1200
Second answer is 900 for each new employee
Step-by-step explanation:
First answer:
2200+1300+800+940+560+x = 7000
5800+x = 7000 subtract 5800 from both sides and you get your answer
x = 1200
Second answer:
x = 900. Each of the two employees made 900 a month or 1800 a month for both of them.
To find the average we take the total salaries and divide by the number of people to find the average salary. In this case, we know the average and we know all of the salaries, but two. We can figure this out.
(7000 + 2x)/8 = 1100 multiple both sides by 8 to clear the fraction/
7000 +2x = 8800 Subtract both sides by 7000
2x = 1800 Divide both sides by 2
x = 900
Triangle abc has vertices at A(-6, 3) , B(3, 5) and C(1, -4). Show that triangle abc is isosceles and find the area of this triangle.
Using the formula for the distance between two points, it is found that:
Since sides AB and BC have the same length, which is different of side AC, the triangle is an isosceles triangle.The area is of 38.63 units squared.What is the distance between two points?Suppose that we have two points, [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]. The distance between them is given by:
[tex]D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
In this problem, we use the formula to find the lengths for each side of the triangle.
For example, side AB has length given by the distance between (-6,3) and (3,5), hence:
[tex]AB = \sqrt{(-6 - 3)^2 + (3 - 5)^2} = 9.22[/tex]
Side AC has length given by:
[tex]AC = \sqrt{(-6 - 1)^2 + (3 - (-4))^2} = 9.9[/tex]
Side BC has length given by:
[tex]BC = \sqrt{(3 - 1)^2 + (5 - (-4))^2} = 9.22[/tex]
Since sides AB and BC have the same length, which is different of side AC, the triangle is an isosceles triangle.
What is the area of a triangle?The area of a triangle is given by half the length of the base multiplied by the height.
The midpoint of side BC, of length of 9.22 units, is of (2,0.5). The height is the distance of this point from point A, hence:
[tex]d = \sqrt{(-6 - 2)^2 + (3 - 0.5)^2} = 8.38[/tex]
Hence the area is:
A = 0.5 x 9.22 x 8.38 = 38.63 units squared.
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The bearing from the Pine Knob fire tower to the Colt Station fire tower is N 65° E, and the two towers are 31 kilometers apart. A fire spotted by rangers in each tower has a bearing of N 80° E from the Pine Knob and S 70° E from Colt Station (see figure). Find the distance of the fire from each tower. (Round your answers to two decimal places.)
From Pine Knob:
The equation that can be used to find the height of the tree is as follows:
[tex]\frac{h}{sin 29} =\frac{40}{sin147}[/tex]
The height of the tree is 35.6 m
How to use sine rule to find height of the tree?Th equation that can be used to find the height of the tree uses the principle of sine rule.
Therefore,
[tex]\frac{h}{sin 29} =\frac{40}{sin(180-4-29)}[/tex]
[tex]\frac{h}{sin 29} =\frac{40}{sin147}[/tex]
Therefore,
[tex]\frac{h}{sin 29} =\frac{40}{sin147}[/tex]
cross multiply
h sin 147 = 40 sin 29°
h = 40 sin 29° / sin 147
h = 19.3923848099 / 0.54463903501
h = 35.6015636045
h = 35.6 m
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ramon is a parking lot attendant. he estimates that 30% of the cars in the lot are sedans, 10% are minivans, and 20% are suvs. he designs a simulation. let 0,1, and 2 represent sedans. let 3 represent minivans. let 4 and 5 represent suvs. let 6,7,8 and 9 represent other cars. the table show the simulation results. what is the probability that at least one of the next four cars the enter the lot is a sedan?
The probability that the nest set of cars that would enter the lot is a sedan is given as 80 percent
How to solve for the probabilityThe total number of trials can be seen to be 20 in number. The numbers that represents the sedan are 0, 1, 2
Now we would have to count the number of trials in these 20 that have 0, 1, 2
In the table we have 16 of these 0, 1 or 2 numbers
Hence we would have
16 /20
= 0.8
= 80 percent
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Assume that two fair dice are rolled. First compute P(F) and then P(FIE). Explain why one would expect the
probability of F to change as it did when the condition that E had occurred was added.
E: a three shows on at least one of the dice
F: the total is less than eight
...
The probability that a three shows on at least one of the dice is 11/36.
How to calculate the probability?It should be noted that of probability means the likelihood of the occurence of an event.
The probability that a three shows on at least one of the dice will be:
= 11/36
This can be seen from the table that is attached.
The probability that the total is less than 8 will be:
= 21/36
= 7/12
Here, there are 21 places where the total is less than 8.
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Molly wants to buy a dress that costs $20. She has a coupon for 40% off, and there is a 10% sales tax. how much will she pay all together
1. after using the coupon what is the sale price of the dress Show Your Work
2.how much is th 10% tax on the sale price Explain how you found your answer
Answer:
$13.50
Step-by-step explanation:
If I am taking off 40%, that means that the dress now cost 60% of the original cost. .6 x 20 is 12.
You could also calculate the 20% off and subtract that from the original cost. .4 x 20 =8. Now 20 - 8 is also 12.
Now, we have to calculate the tax. 10% of 12 is .1 x 12 or $1.20. We add the tax to the 12 to get 13.50.
Find the values of the variables in the parallelogram.
please help asap
tysm
Answer:
Step-by-step explanation:
I need help with this geometry problem see the image
The coordinate of each point is just the number it corresponds to.
a) 6
b) -5
c) 9
d) 0
15) Allie Young has to get a new car because someone hit and destroyed her old one. She feels she can afford to
pay $90 each month, and the best loan terms she has found offer her an 8.33 percent interest rate on a 4-year
loan. What is the maximum value of the car Allie should be looking for? Give answer to nearest hundred dollars.
a.) $3900
b.) $3800
c.) $3600
d.) $3700
Answer:I beleive the answer is c-3600
Step-by-step explanation:
90$ a month for 48 months=4320
Plus the interest rate of 8.33 so 4320x0.833=3598.56
Then you have to round up from 3598.56 to the nearest 100 dollars, so it would be 3600.
What is the equation of the line in slope-intercept form?
[tex]y=\frac{3}{5}x+3[/tex]
Step-by-step explanation:Slope-intercept form is the most common form of a linear function.
Formula
The formula for slope-intercept form is y=mx+b, where m is the slope and b is the y-intercept. In this question, we must find both m and b by looking at a graph.
Slope
The slope is the change in y over the change in x. So, one way to find the slope is to identify 2 points on the graph and count the difference between them.
For example, the points (-5,0) and (0,3). First, the y-value increases by 3. Then, the x-value increases by 5. This gives us the final slope, [tex]\displaystyle\frac{3}{5}[/tex].Another way to find the slope is to use the formula [tex]\displaystyle\frac{y_{2}- y_{1} }{x_{2}- x_{1} }[/tex]. You can plug in the values from both points and solve to get the same answer.
Y-Intercept
The y-intercept is easy to find from a graph. The y-intercept is wherever the line intersects with the y-axis (the vertical axis). In this case, the line intersects at y-value 3. So, 3 is the b-value in the equation.
Final Equation
Using the information above, we can say that the equation of the line in slop-intercept form is [tex]y=\frac{3}{5}x+3[/tex].
A study showed that low-intensity shock therapy reduces pain levels in patients with lupus. During each session, electrodes were placed on the pain site indicated by the patient. Pain reduction was measured through self-reporting after each session.
Another study is being designed to examine whether low-intensity shock therapy also reduces pain in patients suffering from bulging disks in the thoracic region of the back. Two hundred female patients are subjects in the new study.
Part A: What is an appropriate design for the new study? Include treatments used, method of treatment assignment, and variables that should be measured. (4 points)
Part B: If the study consisted of 100 male and 100 female patients instead of 200 female patients, would you change the study design? If so, how would you modify your design? If not, why not? (4 points)
Part C: Could your design be double-blind? Explain. (2 points)
The experiment is illustrated below.
How to explain the experiment?A. The type of experimental design is a completely randomized design experiment where experimental units of 200 female subjects which are allocated randomly to say 4 treatment groups with each treatment group consist of 50 female patients.
Here the treatment used is low-intensity shock therapy which is also factor or explanatory variable. After administrating above treatment for a period of say 2-3 weeks, the response in pain reduction can be measured among all patients in 4 treatment groups by comparing their earlier pain level for reduction in pain.
If the study consist of 100 male and female patients, the experimental design can be changed into randomized block design by blocking subjects by gender.
The above design can be double blinded by not letting either the patients or lab technicians aware about which treatment groups, each of these subjects are experimented against to keep the data confidential.
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I need the answer to this
Answer:
63.2
Step-by-step explanation:
Corresponding sides of similar triangles are proportional, so
ST/16 = 31.6/8ST = 63.2Find the area of the region enclosed by the curves yequals
xsquaredminus2x
and yequals
minusxsquaredplus2
x.
The area enclosed by the given 2 curves is; 8/3 or 2.67
How to Solve Integration with Limits?We want to find the area enclosed by the curves;
y = x² - 2x
y = -x² + 2x
The point of intersection of the parabola and the line is given by;
x² - 2x = -x² + 2x
2x² - 4x = 0
Solving this gives;
x = 0, 2
Therefore, the area bounded by the parabola and the line between x = 0 and x = 2 is given as;
A = ∫₀² (-x² + 2x - x² + 2x)
A = ∫₀² (-2x² + 4x)
Using online integration calculator here gives;
A = 2.67
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You deposit $2000 in an account earning 2% interest compounded monthly. How much will you have in the account in 10 years?
Answer:Principal P = 2000
Amount= A
years=n 10.00
compounded 12 times a year t
Rate = 2.00 0.02
Amount = P*((n+r)/n)^n*t
Amount = = 2000 *( 1 + 0.02 /t)^ 10 * 12
Amount = 2000 *( 1 + 0 )^ 120
2000 *( 1 )^ 120
Amount = 2442.4
Step-by-step explanation:
inverse function of f(x)=x-7/x+4
Final Answer: The inverse of f (x)=7x-4 is f^-1 (x)= (x+4)/7
If 4x+2=5y+3 then y =
Answer:4x/5-1/5 = y
Step-by-step explanation:
We need to get y by itself
4x+2=5y+3
subtract 3 from both sides
4x-1=5y
divide both sides by 5
4x/5-1/5 = y
Answer:
[tex]4x + 2 = 5y + 3[/tex]
[tex]5y + 3 = 4x + 2[/tex]
[tex]5y = 5x + 2 - 3[/tex]
[tex]5y = 4x - 1[/tex]
[tex] \frac{5y}{5} = \frac{4x - 1}{5} [/tex]
[tex]y = \frac{4x - 1}{5} [/tex]
What is the simplified form of the quantity of x plus 6, all over the quantity of x plus 4 + the quantity of x minus 3, all over 3 ? (2 points) the quantity of x squared plus 3x minus 18, all over 3 times the quantity of x plus 4 the quantity of x squared plus 4x plus 6, all over the quantity of x plus 7 the quantity of x squared plus 3x minus 18, all over the quantity x plus 7 the quantity of x squared plus 4x plus 6, all over 3 times the quantity of x plus 4
The simplified expression of the given equation is [tex]\frac{x^{2} + 4x + 6}{3x + 12}[/tex]
There are three basic steps for addition or subtraction of two fractions
Step 1: Make sure the bottom numbers (the denominators) are the sameStep 2: Add the top numbers (the numerators), put that answer over the denominatorStep 3: Simplify the fraction (if possible)The given expression :- [tex]\frac{x+6}{x+4} +\frac{x-3}{3}[/tex]
Taking LCM or making the denominators same we get,
= {3(x+6) + (x-3)(x+4)}/3(x+4)
= {3x + 18 + x² +x -12}/3(x+4)
={x² + 4x + 6}/3x + 12
= [tex]\frac{x^{2} + 4x + 6}{3x + 12}[/tex]
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Answer:
i believe its B
Step-by-step explanation:
Solve for x if sqrt (3x-8) + 1 = sqrt (x+5)
The solution of x in the given expression [tex]\mathbf{\sqrt{(3x-8)}+1 = \sqrt{(x+5)}}[/tex] is 4. However, if it is [tex]\mathbf{\sqrt{(3x-8)+1} = \sqrt{(x+5)}}[/tex], it is 6.
What is the solution to algebraic expression?The solution to the given algebra expression involving surds can be seen in the steps below.
Given that:
[tex]\mathbf{\sqrt{(3x-8)}+1 = \sqrt{(x+5)}}[/tex]
Remove the square roots, we have:
12x - 32 = 4x² - 48x + 144
Solving the quadratic equation at the RHS and equating it to LHS, we have:
x = 11, x = 4
Verifying the solutions by replacing the value of x with the given equation:
x = 11 Falsex = 4 TrueTherefore, we can conclude that the value of x = 4
NOTE:
Given that:
[tex]\mathbf{\sqrt{(3x-8+1)} = \sqrt{(x+5)}}[/tex]
Square both sides
3x - 7 = x +5
Solve for x
3x - x = 5 + 7
2x = 12
x = 6
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