Which point is a solution to the system of inequalities graphed here? y -5 x + 4 A. (1,6) B. (-6,0) C. (0,5) D. (5,0)
Answers
Answer:
D
Step-by-step explanation:
this is the only one inside the overlapping inequalitlies
Related Questions
The table shows the cost, C, in dollars, to rent a car from Carl's Car Rentals. Determine the following: a) What is the fixed cost? b) What is the variable cost? c) Write an equation relating your answer from part (a) and part (b) [be sure to use the variables stated in the table]. d) What kind of variation is this relationship showing? e) Calculate the cost of renting a car for a day and driving a total of 800km.
Answers
Answer:
a) Fixed cost = $50
b) Total variable cost is $15, while variable cost per unit is $0.15.
c) C = 50 + d0.15
d) Direct variation
e) The cost of renting a car for a day and driving a total of 800km is $170,
Step-by-step explanation:
a) What is the fixed cost?
Fixed cost is a cost that does not change with the level of activity. Fixed is incurred whether there is an activity, or there is no activity at all, that is, when the activity is zero.
Since cost, C, is equal to $50 when distance, d (km), is equal to zero in the table, the fixed cost is therefore equal to $50, i.e.:
Fixed cost = $50
b) What is the variable cost?
Variable cost is a cost that changes as the level of activity changes. From the table, the variable cost can be obtained by deducting the fixed cost from the total cost. This can be calculated using any of the distance, d (km), in the table.
Using the distance of 100 as an example, the total variable cost can be obtained as follows:
Variable cost = Total Cost at 100 distance - Fixed cost = $65 - $50 = $15
Note that variable cost per distance at 100 distance can be obtained as follows:
Variable cost per distance = $15 / 100 = $0.15
c) Write an equation relating your answer from part (a) and part (b)
Since,
C = Cost
d = distance (km)
Fixed cost = $50
Variable cost per distance = $0.15
Therefore, suppressing the dollar sign for simplicity purpose, an equation relating the above can be given as follows:
C = 50 + d0.15 ............................................. (1)
d) What kind of variation is this relationship showing?
This is a direct variation.
Direct variation is a variation in which an increase in one variable will lead to an increase in another variable.
For example in equation (1), a increase in d which is multiplied by $0.15 will lead to an increase in C.
e) Calculate the cost of renting a car for a day and driving a total of 800km.
This implies that d = 800.
Substituting d = 800 into equation (1), we have:
C = 50 + (800 * 0.15) = 170
Therefore, the cost of renting a car for a day and driving a total of 800km is $170.
Approximate the stationary matrix S for the transition matrix P by computing powers of the transition matrix P.
P = [0.31 0.69
0.18 0.82]
P^4 = ______
(Type an integer or decimal for each matrix element. Round to four decimal places as needed.)
Continue taking powers of P until S can be determined
S = ______
(Type an integer or decimal for each matrix element. Round to four decimal places as needed.)
Answers
Answer:
S = [0.2069,0.7931]
Step-by-step explanation:
Transition Matrix:
[tex]P=\left[\begin{array}{ccc}0.31&0.69\\0.18&0.82\end{array}\right][/tex]
Stationary matrix S for the transition matrix P is obtained by computing powers of the transition matrix P ( k powers ) until all the two rows of transition matrix p are equal or identical.
Transition matrix P raised to the power 2 (at k = 2)
[tex]P^{2} =\left[\begin{array}{ccc}0.31&0.69\\0.18&0.82\end{array}\right] X \left[\begin{array}{ccc}0.31&0.69\\0.18&0.82\end{array}\right][/tex]
[tex]P^{2} =\left[\begin{array}{ccc}0.2203&0.7797\\0.2034&0.7966\end{array}\right][/tex]
Transition matrix P raised to the power 3 (at k = 3)
[tex]P^{3} =\left[\begin{array}{ccc}0.31&0.69\\0.18&0.82\end{array}\right] X \left[\begin{array}{ccc}0.31&0.69\\0.18&0.82\end{array}\right]X\left[\begin{array}{ccc}0.31&0.69\\0.18&0.82\end{array}\right][/tex]
[tex]P^{3} =\left[\begin{array}{ccc}0.2203&0.7797\\0.2034&0.7966\end{array}\right] X \left[\begin{array}{ccc}0.31&0.69\\0.18&0.82\end{array}\right][/tex]
[tex]P^{3} =\left[\begin{array}{ccc}0.2086&0.7914\\0.2064&0.7936\end{array}\right][/tex]
Transition matrix P raised to the power 4 (at k = 4)
[tex]P^{4} =\left[\begin{array}{ccc}0.31&0.69\\0.18&0.82\end{array}\right] X \left[\begin{array}{ccc}0.31&0.69\\0.18&0.82\end{array}\right]X\left[\begin{array}{ccc}0.31&0.69\\0.18&0.82\end{array}\right]X\left[\begin{array}{ccc}0.31&0.69\\0.18&0.82\end{array}\right][/tex]
[tex]P^{4} =\left[\begin{array}{ccc}0.2086&0.7914\\0.2064&0.7936\end{array}\right] X \left[\begin{array}{ccc}0.31&0.69\\0.18&0.82\end{array}\right][/tex]
[tex]P^{4} =\left[\begin{array}{ccc}0.2071&0.7929\\0.2068&0.7932\end{array}\right][/tex]
Transition matrix P raised to the power 5 (at k = 5)
[tex]P^{5} =\left[\begin{array}{ccc}0.31&0.69\\0.18&0.82\end{array}\right] X \left[\begin{array}{ccc}0.31&0.69\\0.18&0.82\end{array}\right]X\left[\begin{array}{ccc}0.31&0.69\\0.18&0.82\end{array}\right]X\left[\begin{array}{ccc}0.31&0.69\\0.18&0.82\end{array}\right]X\left[\begin{array}{ccc}0.31&0.69\\0.18&0.82\end{array}\right][/tex]
[tex]P^{5} =\left[\begin{array}{ccc}0.2071&0.7929\\0.2068&0.7932\end{array}\right] X \left[\begin{array}{ccc}0.31&0.69\\0.18&0.82\end{array}\right][/tex]
[tex]P^{5} =\left[\begin{array}{ccc}0.2069&0.7931\\0.2069&0.7931\end{array}\right][/tex]
P⁵ at k = 5 both the rows identical. Hence the stationary matrix S is:
S = [ 0.2069 , 0.7931 ]
Which statement best explains the relationship between lines PQ and RS? They are parallel because their slopes are equal. They are parallel because their slopes are negative reciprocals. They are not parallel because their slopes are not equal. They are not parallel because their slopes are negative reciprocals.
Answers
Answer:
They are not parallel because their slopes are not equal
Step-by-step explanation:
From the diagram attached, The line PQ has point P at (-5, 3) and point Q at (5, 1).
For line RS, point R is at (-4, -2) and point S is at (0, -4).
Two lines AB and CD are said to be parallel to each other if they have the same slope, i.e if the slope of AB is m1 and the slope of CD is m2, m1 = m2. When two lines are parallel, they can never intersect.
The slope (m) of of a line given two points on the line is calculated using:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
For line PQ has point P at (-5, 3) and point Q at (5, 1), the slope is given as:
[tex]m_1=\frac{y_2-y_1}{x_2-x_1}=\frac{1-3}{5-(-5)}=-\frac{1}{5}\\[/tex]
For line RS, point R is at (-4, -2) and point S is at (0, -4), the slope is given as:
[tex]m_2=\frac{y_2-y_1}{x_2-x_1}=\frac{-4-(-2)}{0-(-2)}=-1[/tex]
Since the slope of PQ (-1/5) and the slope of line RS (-1) are not equal, therefore the lines are not parallel
Answer:
They are not parallel because their slopes are not equal.
Step-by-step explanation:
The first person to answer this was correct, please mark them brainliest.
PLEASE HELP!!! Select the three statements that give benefits of having a savings account. A. When I withdraw money from my savings account too many times, I can be charged a fee. B. When I put money in a savings account, the bank will pay me interest. C. If there were an emergency, I would have the money to cover expenses. D.When I use a savings account, my money is insured by the FDIC up to $250,000.
Answers
Answer:
answer is B
Step-by-step explanation:
what is 5/4 divided by 10 equal
Answers
Answer:
[tex]\boxed{\frac{1}{8} }[/tex]
Step-by-step explanation:
[tex]\frac{5}{4} / 10[/tex]
Changing "division" into multiplication and inverting the term after it:
[tex]\frac{5}{4} * \frac{1}{10}[/tex]
=> [tex]\frac{1*1}{4*2}[/tex]
=> 1/8
Answer:
1/8
Step-by-step explanation:
Well to do 5/4 ÷ 10 let's set up the following.
[tex]\frac{5}{4} / \frac{10}{1}[/tex]
Then we use the keep, change, and flip rule.
So keep 5/4 change the / to a * and flip the 10/1 ro a 1/10.
[tex]\frac{5}{4} * \frac{1}{10}[/tex]
Now we multiply them to get,
5/40
simplified
1/8
Thus,
the answer is 1/8.
Hope this helps :)
What are the positive and negative square roots of 1?
Answers
Answer:
Positive is 1
Negative is-1
Step-by-step explanation:
Kelly bought Mason’s home for $255,500. Mason had prepaid the annual property taxes of $2,650. If closing costs are calculated on a 365-day year, and the transaction closes on March 5, how much will Kelly owe Mason for property taxes? Carry numbers out four decimal places, but round to two decimal places for your final answer. The proration is calculated up to the day of closing, meaning that the buyer owns the day of closing. Be sure to include the last day of the year in your calculations.
Answers
Answer:
$2192.60
Step-by-step explanation:
March 4 is day 63 of the year. So, the amount of tax that Kelly needs to refund to Mason is the tax for the remaining 365 -63 = 302 days of the year.
Kelly will owe Mason ...
(302/365)($2650) = $2192.6027 ≈ $2192.60
Find the probability of each event. A basketball player has a 50% chance of making each free throw. What is the probability that the player makes at least seven out of eight free throws?
Answers
Hey there! I'm happy to help!
We want to find the probability that the player makes at least seven out of eight free throws. First, we find the probability of them making seven free throws.
[tex]\frac{1}{2}^7=\frac{1}{128}[/tex]
Then, we find the probability of them making eight, which is another possibility that fits this.
[tex]\frac{1}{2}^8=\frac{1}{256}[/tex]
Now, we add the probability of these two events happening.
[tex]\frac{1}{128}+\frac{1}{256}=\frac{3}{256}[/tex]
Therefore, the probability that the player makes at least seven of eight free throws is 3/256 or about 1.17%
Have a wonderful day! :D
which formulas can be used to find the surface area of a regular pyramid where p is the perimeter of the base, s is the slant height, BA is the base area, and LA is the lateral area click all that apply options: A. SA= 1/2BA + 1/2ps B. SA= BA-LA C. SA= BA+LA D. SA= BA • LA E. SA= BA + 1/2ps
Answers
Answer:
C and E
Step-by-step explanation:
He got it on ap.ex
The area of the pyramid can be found using the formula SA = BA + LA and SA= BA + 1/2ps option (C) and (E) are correct.
What is a square pyramid?In geometry, it is defined as the shape having a square base with equal sides length and all the vertex of the square's joints at the top, which is perpendicular to the center of the square.
The question is incomplete.
The complete question is in the picture, please refer to the attached picture.
We have a pyramid with a square base:
The perimeter of the base is p
The slant height is s.
The base area is BA
The lateral area is LA.
We can find the area of the pyramid as follows:
SA = BA + LA
SA= BA + 1/2ps
Thus, the area of the pyramid can be found using the formula SA = BA + LA and SA= BA + 1/2ps option (C) and (E) are correct.
Learn more about the pyramid here:
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Find the value of y........
Answers
Answer:
hope this is right y=74
Step-by-step explanation:
have not done this since two years ago so...
but anyway 148-180 = 32
32 is that angle
if this were a right triangle my answer would be different but 148/2 still completes this triangle and somewhat makes sense.
The correct answer is 90.
50 Points. Select all correct graphs. Choose the graph that indicate equation with no solutions.
Answers
Concepts:
Graph equationsAnswer:
First option and fifth option
-2x-1=3^(-x) and 2^(-x)+2= -5^x + 3 don't intersect.
Therefore, the graphs have no solution.
What expression be used to add 3/4 + 1/6
Answers
Answer:
11 / 12 or 0.9167
Step-by-step explanation:
Given:
3/4 + 1/6
Find:
Value with expression
Computation:
"3/4 added to number 1/6"
3/4 + 1/6
By taking LCM
[9 + 2] / 12
11 / 12 or 0.9167
The grade point average collected from a random sample of 150 students. Assume that the population standard deviation is 0.78. Find the margin of error if cequals0.98.
Answers
Answer:
15%
Step-by-step explanation:
To calculate the margin of error, we can adopt this formula
Margin of error = critical value* (standard deviation/sqrt of sample size)
Where critical value is 2.33, sd is 0.78 and sample size is150.
Thus, we have:
Margin of error = 2.33*(0.78/√150)
Margin of error = 2.33*(0.78/12.2474)
Margin of error =2.33*0.06369
Margin of error = 0.1484 which is a 15% margin of error
what is the conjugate √8-√9
Answers
Answer:
2√2−3
Step-by-step explanation:
Simplify each term.
Since there are no imaginary terms, the complex conjugate is the same as the simplified expression.
Hope this can help
3²-(-3²)=? what's the answer please
Answers
Answer:
0
Step-by-step explanation:
3^2 is 9, and (-3)^2 is 9.
so, 9-9=0
Two points on line p have
coordinates (2, 1) and (5, 3).
The slope of the line is?
A. 2
B. 3/2
C. 1
D. 2/3
E. 4
Answers
Answer:
D. ⅔
Step-by-step explanation:
I hope it helps :)
[tex]m = \frac{y_2 - y_1}{x_2 - x_1} \\ m = \frac{3 - 1}{5 - 2} = \frac{2}{3} \\ m = \frac{2}{3} [/tex]
which of the following is the correct graph of the linear equation below? y+3=-2/3(x-4)
Answers
Answer:
see details.
Step-by-step explanation:
Graphs from question not yet uploaded, so read attached graph to make a match.
Find ZABD if ZABC = 121° in the given figure.
Answers
4x+21+3x-5=121
7x+16=121
x=15
angle ABD =4(15)+21=81
What is the anwer? plz help. 2(4x+2) = 4x - 12(x-1)
Answers
Answer:
x = 1/2
Step-by-step explanation:
2(4x+2) = 4x - 12(x-1)
Distribute
8x +4 = 4x - 12x +12
Combine like terms
8x + 4 = -8x +12
Add 8x to each side
8x+4+8x = -8x+12 +8x
16x+4 = 12
Subtract 4 from each side
16x +4-4 = 12-4
16x = 8
Divide by 16
16x/16 =8/16
x = 1/2
Answer:
x = 1/2
Step-by-step explanation:
2(4x+2) = 4x - 12(x-1)
Expand brackets.
8x + 4 = 4x - 12x + 12
Subtract 4 on both sides.
8x = 4x - 12x + 12 - 4
Subtract 4x and add 12x on both sides.
8x - 4x + 12x = 12 - 4
Combine like terms.
16x = 8
Divide both sides by 16.
x = 8/16 = 1/2
Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag the item to the trashcan. Click the trashcan to clear all your answers. Factor completely and then place the factors in the proper location on the grid. 4y2 + 25y + 6
Answers
Answer:
(4y +1)(y +6)
Step-by-step explanation:
We can rewrite the middle term and factor by grouping.
4y^2 + 25y + 6 = (4y^2 +24y) +(y +6)
= 4y(y +6) +1(y +6)
= (4y +1)(y +6)
A Microgates Industries bond has a 10 percent coupon rate and a $1,000 face value. Interest is paid semiannually, and the bond has 20 years to maturity. If investors require a 12 percent yield, what is the bond’s value? * a. $849.45 b. $879.60 c. $985.18 d. $963.15 e. None of the above
Answers
Answer:
a. $849.45
Step-by-step explanation:
In the above question, we are given the following information
Coupon rate = 10%
Face value = 1000
Maturity = n = 20 years
t = number of periods = compounded semi annually = 2
Percent yield = 12% = 0.12
Bond Value formula =
C/t × ([1 -( 1/ 1 + r/t)-^nt ÷] r/t) +( F/ (1 + r/t)^nt)
C = coupon rate × face value = 10% × 1000 = 100
Bond value:
= 100/2 × ( [1 - (1 /1 + 0.12/2)^-20×2]÷ 0.12/2)+ (1000/( 1 + 0.12/2)^20×2
= 50 × ( [1 - (1 /1 + 0.06) ^40] ÷ 0.06) + ( 1000/ (1 + 0.06) ^40
= 50 × ( [1 - (1/ (1.06) ^40] ÷ 0.06 ) + (1000/(1.06)^40)
= 50 × 15.046296872 + 97.222187709
= $849.45
Bond value = $849.45
Calculate the amount of leather needed to manufacture a basketball if it has a radius of 11.14 cm. I need ASAP please and thank uuu
Answers
Answer:
Step-by-step explanation:
A basketball is basically a sphere, so it suffices to calculate the surface are of the ball to determine the amount of required material. Given a sphere of radius r we have that the surface area is [tex]4\pi r^2[/tex]
In this case, r = 11.14 cm. So the area is aproximately 1159.48 squared cm. (1159.48 = [tex]4\pi (11.14)^2[/tex])
What is the answer? What is A?
Answers
Answer:
35 degree angle a cute angle
Answer:
Step-by-step explanation:
A and B are supplementary angles since the lines are parallel
A + B = 180
6x-18 + 14x+38 = 180
Combine like terms
20x +20 = 180
Subtract 20 from each side
20x+20 -20 =180-20
20x = 160
Divide by 20
20x/20 =160/20
x = 8
In general, what would every child function have in common with the parent function f (x)= x?
Answers
Step-by-step explanation:
If f(x) =x, is the father function, then all it's child function would be equally inclined to x and y-axis respectively.
If f(x) =x, is the father function, then all its child functions would be equally inclined to the x and y-axis respectively.
How is each function in a family related to the parent function?Each family of capabilities has a determining feature. A discern function is the best function that also satisfies the definition of a certain sort of function. As an instance, whilst we think about the linear capabilities which make up our own family of capabilities, the parent feature could be y = x.
What key attributes are common among parent functions?Key commonplace points of linear determine features encompass the reality that the equation is y = x. Domain and variety are actual numbers. Slope, or fee of alternate, is steady.
Learn more about parent functions here: https://brainly.com/question/4025726
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What is the GIM of a strip mall with annual income of $547,500 and a value of $6,345,000?
Answers
Answer:
11.6Step-by-step explanation:
GIM means Gross Income Multiplier and it is a method used for valuating a property or an investment. It is expressed mathematically as the ratio of the property's value/sales price and its gross annual income.
GIM = Value of an investment/Gross annual income.
Given the annual income = $547,500 and Value = $6,345,000;
GIM = $6,345,000/$547,500
GIM = 11.589
GIM ≈ 11.6
Hence, the Gross Income Multiplier of the strip mall is approximately 11.6.
GIM has no units.
Find the volume of the cone.
Answers
Answer:
628 units³Step-by-step explanation:
Given,
Radius ( r ) = 10
Height ( h ) = 6
pi ( π ) = 3.14
now, let's find the volume of given cone:
[tex]\pi {r}^{2} \frac{h}{3} [/tex]
Plug the values
[tex] = 3.14 \times {10}^{2} \times \frac{6}{3} [/tex]
Evaluate the power
[tex] = 3.14 \times 100 \times \frac{6}{3} [/tex]
Calculate
[tex] = 628 \: {units}^{3} [/tex]
Hope this helps..
Best regards!!
Answer:
The answer is 200π units³ .
Step-by-step explanation:
Given that the formula of volume of cone is V = 1/3×π×r²×h where r represents radius and h is height. Then, you have to substitute the value of radius and height into the formula :
[tex]v = \frac{1}{3} \times \pi \times {r}^{2} \times h[/tex]
[tex]let \: r = 10 \: , \: h = 6[/tex]
[tex]v = \frac{1}{3} \times \pi \times {10}^{2} \times 6[/tex]
[tex]v = \frac{1}{3} \times \pi \times 600[/tex]
[tex]v = 200\pi \: {units}^{3} [/tex]
find dy/dx if x=at⁴, y = at³
Answers
Answer:
The answer for dy/dx is 3/4t .
Step-by-step explanation:
First, you have to differentiate x and y expressions in term of t :
[tex]x = a {t}^{4} [/tex]
[tex] \frac{dx}{dt} = 4a {t}^{3} [/tex]
[tex]y = a {t}^{3} [/tex]
[tex] \frac{dy}{dt} = 3a {t}^{2} [/tex]
Next, we can assume that dy/dt ÷ dx/dt = dy/dx. So we have to substitute the expressions :
[tex] \frac{dy}{dt} \div \frac{dx}{dt} = \frac{dy}{dt} \times \frac{dt}{dx} = \frac{dy}{dx} [/tex]
[tex] \frac{dy}{dx} = 3a {t}^{2} \div 4a {t}^{3} [/tex]
[tex] \frac{dy}{dx} = 3a {t}^{2} \times \frac{1}{4a {t}^{3} } [/tex]
[tex] \frac{dy}{dx} = \frac{3}{4t} [/tex]
La concentración de cierto calmante suministrado mediante suero, varía en su efectividad en el tiempo según la siguiente función, C(t)=−t2+6t donde C es la concentración del calmante en el suero medida en milígramos por litro para que haga efecto durante t horas. ¿En que instante la concentración es de 8 milígramos por litro?
Answers
Answer: The concentration will be 8 milligrams per liter at 2 hours and 4 hours.
Step-by-step explanation:
GIven: The concentration of a certain painkiller supplied by serum varies in its effectiveness over time according to the following function, [tex]C (t) = - t^2 + 6t[/tex] where C is the concentration of the painkiller in the serum measured in milligrams per liter so that it takes effect during t hours.
Put C(t)=8, then we get
[tex]8=-t^2+6t\\\\\Rightarrow\ t^2-6t+8=0\\\\\Rightarrow\ t^2-2t-4t+8=0\\\\\Rightarrow\ t(t-2)-4(t-2)=0\\\\\Rightarrow\ (t-2)(t-4)=0\\\\\Rightarrow\ t=2,4[/tex]
At t=2, [tex]C(t)=-(2)^2+6(2)=-4+12=8[/tex]
At t=4, [tex]C(t)=-(4)^2+6(4)=-16+24=8[/tex]
Hence, the concentration will be 8 milligrams per liter at 2 hours and 4 hours.
which linear inequality is represented by the graph
Answers
The slope is up 2 over 1 which gives you a slope of 2. The line is up 1 which gives you a y intercept of 1.
Hope this helps!
Answer:
y > 2x + 1
Step-by-step explanation:
(1 is the y intercept) 2/1 is the gradient so 2 up and 1 across
PLEASE HELP ASAP!! Write a polynomial f(x) that satisfies the following conditions. Polynomial of lowest degree with zeros of -4 (multiplicity of 1), 2 (multiplicity of 3), and with f(0)=64
Answers
Answer:
See below.
Step-by-step explanation:
So, we have the zeros -4 with a multiplicity of 1, zeros 2 with a multiplicity of 3, and f(0)=64.
Recall that if something is a zero, then the equation must contain (x - n), where n is that something. In other words, for a polynomial with a zero of -4 with a multiplicity of 1, then (x+4)^1 must be a factor.
Therefore, (x-2)^3 (multiplicity of 3) must also be a factor.
Lastly, f(0)=64 tells that when x=0, f(x)=64. Don't simply add 64 (like what I did, horribly wrong). Instead, to keep the zeros constant, we need to multiply like this:
In other words, we will have:
[tex]f(x)=(x+4)(x-2)^3\cdot n[/tex], where n is some value.
Let's determine n first. We know that f(0)=64, thus:
[tex]f(0)=64=4(-2)^3\cdot n[/tex]
[tex]64=-32n, n=-2[/tex]
Now, let's expand:
Expand:
[tex]f(x)=(x+4)(x^2-4x+4)(x-2)(-2)[/tex]
[tex]f(x)=(x^2+2x-8)(x^2-4x+4)(-2)[/tex]
[tex]f(x)=(x^4-4x^3+4x^2+2x^3-8x^2+8x-8x^2+32x-32)(-2)[/tex]
[tex]f(x)=-2x^4+4x^3+24x^2-80x+64[/tex]
This is the simplest it can get.