20 Point question!!!!!!!! On the rectangular coordinate system, line PQ goes through P (6, − 2), and the midpoint of line PQ is (0, 5). What are the coordinates of point Q?
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Related Questions
if a polynomial is divided by (x-a) and the remainder equals zero then (x -a) is a factor of the polynomial. true or false
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The Factor theorem states that for any polynomial f(x) if f(c)=0 then x-c is a factor of the polynomial f(x).
If any polynomial f(x) is divided by x-a and remainder is 0 that means f(a)= 0 .In other words we can say x-a is a factor of the polynomial f(x).So the statement :If a polynomial is divided by (x-a) and the remainder equals zero then (x -a) is a factor of the polynomial is True.
It is true that (x -a) is a factor of the polynomial.
How to determine the true statement?Let the polynomial function be f(x)
When divided by x -a, we have:
f(x)/(x - a) = Some polynomial remainder 0
The above can be represented as
f(a) = 0
This means that it is true that (x -a) is a factor of the polynomial.
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Find the missing length indicated.
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Write a function Rule that represents the situation: A workers earnings e are a function of the number of hours n worked at a rate of $8.75 per hour
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The function rule representing a worker's earnings e as a function of hours n worked at a rate of $8.75 per hour is e(n) = 8.75 × n. This formula is used to calculate the worker's pay based on their hours worked.
Explanation:To represent a worker's earnings e as a function of the number of hours n worked at a rate of $8.75 per hour, you would write the function rule as:
e(n) = 8.75 × n
Here, n represents the number of hours worked and e(n) represents the earnings for those hours.
For example, if a worker puts in 8 hours of work, their earnings would be calculated as:
e(8) = 8.75 × 8
= $70
This means the worker would earn $70 for an 8-hour workday.
generate the first five terms in the sequence using the explicit formula. yn=-5n-5
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y1 is y on position 1 and so on. Sequence goes: y1,y2,y3,y4... and so on
So all you have to do is to implement values 1,2,3,4,5 for n and get 5 members of sequence. (start from 0 if your n starts from 0)
y0 = -5
y1 = -5-5 = -10
y2 = -15
y3 = -20
y4 = -25
y5 = -5*5 - 5 = -30
The first five terms in the sequence generated by the explicit formula [tex]y_n[/tex] = -5n - 5 are: -10, -15, -20, -25, -30.
To generate the first five terms in the sequence using the explicit formula [tex]y_n[/tex] = -5n - 5,
we substitute the values of n from 1 to 5 into the formula.
For n = 1:
[tex]y_1[/tex]= -5(1) - 5 = -10
For n = 2:
[tex]y_2[/tex] = -5(2) - 5 = -15
For n = 3:
[tex]y_3[/tex] = -5(3) - 5 = -20
For n = 4:
[tex]y_4[/tex] = -5(4) - 5 = -25
For n = 5:
[tex]y_5[/tex] = -5(5) - 5 = -30
Therefore, the first five terms in the sequence generated by the explicit formula [tex]y_n[/tex] = -5n - 5 are:
-10, -15, -20, -25, -30.
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The vertices of ∆ABC are A(-2, 2), B(6, 2), and C(0, 8). What is the perimeter of ∆ABC in units?
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L(AB) = √[(6 - -2)² + (2 - 2)²] = 8
L(BC) = √[(0 - 6)² + (8 - 2)²] = 8.4853
L(AC) = √[(0 - -2)² + (8 - 2)²] = 6.3246
8 + 8.4853 + 6.3246 = 14.8099
I hope this is what you were looking for.
[6.01] Systems of equations with different slopes and different y-intercepts have more than one solution.
Always
Sometimes
Never
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write the statement using absolute value notation:
the distance between x and 4 is 3
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The supreme esteem condition above implies that x-4 is equivalent to 3, OR, that x-4 is equivalent to - 3.
On the off chance that x-4=3, then x=7. On the off chance that x-4=-3, then x=1.
Presently envision the number line with the numbers 1 and 7 set apart with a dab.
The number 4 is in the focal point of that fragment. What's more, the numbers 1 and 7 are at a separation of precisely 3 units of the number 4 which is at the middle.
That is precisely what the outright esteem condition is requesting that you discover. Which numbers are inside a separation of 3 units of 4. Also, your answer is x=1 and x=7.
Determine the x values that cause the polynomial function to be positive:
f(x)=(x+2)(x+1)(x-5) Determine the x values that cause the polynomial function to be positive:
f(x)=(x+2)(x+1)(x-5)
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Set each one greater than zero:x+2>0x+1>0x−5>0
Then, solve for x on all three:
x > -2 x > -1 x > 5
so in order for the polynomial to be positive the answer is x > 5.
Hope this is the answer that you are looking for.
how long does it take $450 to double at simple interest rate of 14%
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A (Future) = 450(2) = 900
P (Principal) = 450
R (Rate) = 14% = .14
T (Time) = Unknown
Create the equation:
900=450(1+.14t)
Distribute the 450:
900=450 + 450(.14t)
Multiply the 450(.14t)
900=450 + 63t
Subtract the 450:
450 = 63t
Divide by 63:
t=7.142857
Answer:
It will take 7.1 years.
Choose the method of pay that would result in the most earnings for one month on sales of $73,620. a. Straight commission of 6% on all sales. b. Monthly salary of $3,000 plus 2% commission on all sales. c. Graduated commission of 4% on the first $50,000 in sales and 9% on anything over that. d. Graduated commission of 5% on the first $35,000 in sales and 7% on anything over that.
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b. 3000 + 0.02(73,620) = 3000 + 1472.40 = 4472.40 (salary + 2% com)
c. 0.04(50,000) + 0.09(73620 - 50,000) = 2000 + 2125.80 = 4125.80
d. 0.05(35,000) + 0.07(73620 - 35,000) = 1750 + 2703.40 = 4453.40
most earnings would be : B. monthly salary + 2% commission
The method of pay that results in the most earnings is the second method of pay
In order to determine which method of pay would result in the most earnings , the value of each method would be determined
Value of the first option
6% commission on all sales = 6% x $73,620.
0.06 x $73,620. = $4,417.20
Value of the second option
Monthly salary of $3,000 plus 2% commission on all sales = $3,000 + (2% x $73,620)
$3,000 + (0.02% x $73,620)
= $3000 + $1472.40
= $4472.40
Value of the third option
Graduated commission of 4% on the first $50,000 in sales and 9% on anything over that.
= (4% x $50,000) + (9% x $23,620)
= $2000 + $2125.80
= $4125.80
Value of the fourth option
Graduated commission of 5% on the first $35,000 in sales and 7% on anything over that.
= (5% x$35,000) + (7% x $38,620)
= $1750 + $2703.40
= $4,453.40
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Which of the following is the most profitable investment for a candy shop that earns $1 profit per pound of candy?
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Worker at $10 per hour, producing eight pounds of candy per hour
Worker at $12 per hour, producing 16 pounds of candy per hour
Machine with $5 per hour operating cost, producing 10 pounds of candy per hour
Machine with $8 per hour operating cost, producing 14 pounds of candy per hour
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Answer:
Option 4). Machine with $8 per hour operating cost, producing 14 pounds of candy per hour.
Step-by-step explanation:
We have to find the most profitable investment for a candy shop that earns $1 per pound of candy.
We will take up each option one by one.
Option 1).
Producing eight pounds of candy per hours means profit = $1×8 = $8
But workers take $10 per hours so expenditure = $8 - $10 = -$2
There is a loss of $2 in this investment.
Option 2).
Production of 16 pounds candy per hour will make the profit = $1 × 16 = $16
But workers take $12 per hour so profit earned = 16 - 12 = $4
Option 3).
Machine produces 10 pound of candy per hour so profit will be = $1 ×10 = $10
Operating cost of the machine = $5 per hour
So profit generated = profit - Operating cost of machine
= 10 - 5 = $5
Option 4).
Profit earned by production of 14 pounds of candy per hour = $1 × 14 = $14
Operating cost of the machine = $8 per hour
Therefore, Total profit per hour = 14 - 8 = $6
Finally we can say that the maximum profit will be generated in option 4.
Therefore, Option 4) will be the best option to invest.
Final answer:
The most profitable investment for a candy shop is the machine with an $8 per hour operating cost, producing 14 pounds of candy per hour, yielding a net profit of $6 per hour.
Explanation:
The task is to determine the most profitable investment for a candy shop that makes $1 profit per pound of candy. To calculate the profitability of each option, we need to figure out the net profit per hour for each.
Worker at $10 per hour, producing eight pounds of candy per hour:
Profit = 8 pounds * $1 profit per pound - $10 wage per hour = $8 - $10 = -$2 per hour.
Worker at $12 per hour, producing 16 pounds of candy per hour:
Profit = 16 pounds * $1 profit per pound - $12 wage per hour = $16 - $12 = $4 per hour.
Machine with $5 per hour operating cost, producing 10 pounds of candy per hour:
Profit = 10 pounds * $1 profit per pound - $5 operating cost per hour = $10 - $5 = $5 per hour.
Machine with $8 per hour operating cost, producing 14 pounds of candy per hour:
Profit = 14 pounds * $1 profit per pound - $8 operating cost per hour = $14 - $8 = $6 per hour.
Comparing the net profit per hour for each option, the Machine with $8 per hour operating cost, producing 14 pounds of candy per hour, is the most profitable investment.
435 is 15% of what number?
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What is the apparent solution to the system of equations graphed above?
(0,-1)
(0,3)
(1,2)
(2,1)
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This method here is graphical method of solving system of equations. Other method is, of course, solving system of equations using math...
Answer is (1,2)
During a manufacturing process, a metal part in a machine is exposed to varying temperature conditions. The manufacturer of the machine recommends that the temperature of the machine part remain below 132 ° F. The temperature T in degrees Fahrenheit x minutes after the machine is put into operation is modeled by T = -0.005x^2 + 0.45x + 125. Will the temperature of the part ever reach or exceed 132 ° F? Use the discriminant of a quadratic equation to decide.
A. no
B. yes
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Answer: The answer saying YES, is WRONG, the CORRECT ANSWER IS NO.
Answer:
The answer is no
0.45^2-4(-.005)(125)=2.7025
so no it do not exceed
Step-by-step explanation:
Explain how to find the distance between -2 and 3 on a number line
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|x-y|
|-2-3|=|-5|=5
the distance is 5
or
it take 2 units to get to 0 from -2
it takes 3 units to get from 0 to 3
2+3=5
Which of these statements is punctuated properly?
"You're kidding she said". You are not going in there.
"You're kidding" she said "You are not going in there."
"You're kidding," she said. "You are not going in there."
"You're kidding, she said. You are not going in there."
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What polynomial must be added to x^2-2x+6 so that the sun is 3x^2+7x?
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For example, what do you add to 5 to get 13?
Subtract 13 - 5 = 8
The answer is you add 8 to 5 to get 13.
Now you need to do the same with your polynomials.
What do you add to x^2 - 2x + 6 to get 3x^2 + 7x?
To find the answer, subtract
(3x^2 + 7x) - (x^2 - 2x + 6)
how to solve a quadratic equation by using the quadratic formula?
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you can check this question
Final answer:
To solve a quadratic equation using the quadratic formula, put the equation in ax² + bx + c = 0 form, identify a, b, and c, plug them into the formula x = (-b ± √(b² - 4ac)) / (2a), calculate the discriminant, and find the two possible values for x.
Explanation:
To solve a quadratic equation by using the quadratic formula, you should follow these steps:
First, make sure that the equation is in the standard quadratic form, which is ax² + bx + c = 0.Identify the coefficients a, b, and c from the equation.Plug these values into the quadratic formula, which is x = (-b ± √(b² - 4ac)) / (2a).Calculate the discriminant D, which is the part under the square root: b² - 4ac.The discriminant tells you the nature of the roots:If D is positive, there are two real and distinct solutions.If D is zero, there is one real solution.If D is negative, there are two complex solutions.Finally, calculate the two possible values for x using the plus and minus signs in the formula and simplify as needed.
For example, if we have the equation t² + 10t - 200 = 0, by identifying a=1, b=10, and c=-200, and plugging them into the quadratic formula, we can solve for t.
What is the equation of the line that passes through (4, -1) and (-2, 3)?
2x - 3y - 5 = 0
2x + 3y - 5 = 0
-2x + 3y - 5 = 0
I know for sure that the answer is 2x + 3y - 5 = 0 I just need somone to explain it!
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substitute (4,-1) where x=4 and y=-1
2*4+3*(-1)-5 = 0
8-3-5=0
0=0
correct!
this point belongs to this line
test point (-2,3) where x = -2 and y=3
2x+3y-5 = 0
substitute
2*(-2) + 3*3 - 5 = 0
-4+9-5=0
0=0
belongs!
What is the determinant of an identity matrix?
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Answer:
The determinant of an identity matrix is always 1.
Step-by-step explanation:
Given : An identity matrix.
We have to find the determinant of an identity matrix.
Consider an identity matrix,
Identity matrix is a matrix having entry one in its diagonal and rest all entries are zero.
Let us consider a 2 × 2 identity matrix,
[tex]I=\left[\begin{array}{cc}1&0\\0&1\end{array}\right][/tex]
We know determinant of a 2 × 2 matrix
[tex]I=\left[\begin{array}{cc}a&b\\c&d\end{array}\right][/tex]
is given by
D = ad - bc
Thus, here a = 1 , b = 0 , c= 0 d= 1
Thus, D = 1 - 0 = 1
Thus, The determinant of an identity matrix is always 1.
Which choice is the equation of a line that passes through the point (0, 15) and is parallel to the line represented by this equation? 5x-4y=12
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4y=5x-12
y=5/4x-3
so you change your y intercept (-3) to your other y intercept (15)
y=5/4x+15
please help@!!!!!!!!!
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_________________________________________________
Triangle ABC is similar to Triangle FDE because:
AB = AC
FD FE
_________________________________________________
what is 1626 divided by 12 as a mixed number
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So, your final answer is 135 1/2
Hope this helps!
Answer:
1626 divided by 12 is written as [tex]\frac{271}{2}=135\frac{1}{2}[/tex]
Step-by-step explanation:
To find : What is 1626 divided by 12 as a mixed number ?
Solution :
Writing 1626 divided by 12 in a fraction from,
[tex]\frac{1626}{12}[/tex]
Writing fraction in simpler form by reducing with common factors,
[tex]\frac{1626}{12}=\frac{2\times 3\times 271}{2\times 2\times 3}[/tex]
[tex]\frac{1626}{12}=\frac{271}{2}[/tex]
Writing [tex]\frac{271}{2}[/tex] in mixed fraction by dividing 271 by 2,
[tex]271=135\times 2+1[/tex]
i.e. [tex]\frac{271}{2}=135\frac{1}{2}[/tex]
Therefore, 1626 divided by 12 is written as [tex]\frac{271}{2}=135\frac{1}{2}[/tex]
There is a line through the origin that divides the region bounded by the parabola y=2x-4x^2 and the x-axis into two regions with equal area. What is the slope of that line? ...?
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y = 7x - 4x²
7x - 4x² = 0
x(7 - 4x) = 0
x = 0, 7/4
Find the area of the bounded region...
A = ∫ 7x - 4x² dx |(0 to 7/4)
A = 7/2 x² - 4/3 x³ |(0 to 7/4)
A = 7/2(7/4)² - 4/3(7/4)³ - 0 = 3.573
Half of this area is 1.786, now set up an integral that is equal to this area but bounded by the parabola and the line going through the origin...
y = mx + c
c = 0 since it goes through the origin
The point where the line intersects the parabola we shall call (a, b)
y = mx ===> b = m(a)
Slope = m = b/a
Now we need to integrate from 0 to a to find the area bounded by the parabola and the line...
1.786 = ∫ 7x - 4x² - (b/a)x dx |(0 to a)
1.786 = (7/2)x² - (4/3)x³ - (b/2a)x² |(0 to a)
1.786 = (7/2)a² - (4/3)a³ - (b/2a)a² - 0
1.786 = (7/2)a² - (4/3)a³ - b(a/2)
Remember that (a, b) is also a point on the parabola so y = 7x - 4x² ==> b = 7a - 4a²
Substitute...
1.786 = (7/2)a² - (4/3)a³ - (7a - 4a²)(a/2)
1.786 = (7/2)a² - (4/3)a³ - (7/2)a² + 2a³
(2/3)a³ = 1.786
a = ∛[(3/2)(1.786)]
a = 1.39
b = 7(1.39) - 4(1.39)² = 2.00
Slope = m = b/a = 2.00 / 1.39 = 1.44
The slope of the line that divides the region bounded by the parabola y=2x-4x^2 and the x-axis into two regions with equal area is -2.
Explanation:To find the slope of the line that divides the region bounded by the parabola y=2x-4x^2 and the x-axis into two regions with equal area, we need to set up an integral to find the area under the parabola. The equation of the line will be in the form y = mx, where m is the slope we need to find. Setting up the integral, we get:
Solve the integral to find:
Substituting the limits of integration and solving, we get:
Therefore, the slope of the line that divides the region into two equal areas is -2.
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Express the function \[\frac{n^3}{1000} - 100n^2 - 100n + 3\]in terms of \(\huge{\Theta}\)notation ...?
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I hope my answer has come to your help. Thank you for posting your question here in Brainly. We hope to answer more of your questions and inquiries soon. Have a nice day ahead!
what is another way to express 48 + 32?
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Answer:16( 3+2)
Step-by-step explanation:
Another way of expressing 48 + 32 are:
32 + 48 and 80.
Addition is a basic mathematical operation that combines two numbers to give a total or sum.
The given expression is:
48 + 32
The commutative property is:
A+B = B+A
Since Addition always holds the commutative property
Therefore, we can write the given expression as,
32 + 48
We can also express it by direct sum,
3 2
+ 4 8
_______
8 0
_______
So, the sum of 32 and 48 is 80.
Hence,
We can express the given expression as 32 + 48 and 80.
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Bill's Furrier marks up mink coats $3,000. This represents a 50% markup on cost. What is the cost of the coats?
...?
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The original cost of the mink coats was $6,000. This is determined by dividing the markup amount of $3,000 by the markup percentage, which is 50% or 0.50 in decimal form.
A 50% markup on cost means that the extra amount added to the cost price of the coats is 50% of that original cost price. Since the markup on the mink coats is given as $3,000, we can set up the equation as follows to find the original cost price (C):
Markup = 50% of Cost
3000 = 0.50 imes C
To find the cost (C), we divide the markup by the percentage, which in decimal form is 0.50:
C = $3,000 / 0.50
C = $6,000
Hence, the original cost of the mink coats was $6,000.
Elsie pays $21.75 for 5 student tickets to the fair what is the cost of each student ticket
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2 ÷ 5 = 0
21 ÷ 5 = 4 (remainder 1)
17 ÷ 5 = 3 (remainder 2)
25 ÷ 5 = 5
So it would cost $4.35 each, hope this helps!
Let θ (in radians) be an acute angle in a right triangle, and let x and y, respectively, be the lengths of the sides adjacent and opposite θ. Suppose also that x and y vary with time.
a. How are dθ/dt, dx/dt and dy/dt related?
Please give steps and explain!
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tan(theta(t))=y(t)/x(t)
differentiate
sec^2(theta(t))*theta'(t)=y'(t)x(t)-y(t)x'(t)/x^2(t)
thus
theta'(t)=(y'(t)x(t)-y(t)x'(t))
divided by (x^2(t)*sec^2(θ(t))
Answer:
dθ/dt = [(cos^2 θ)*(dy/dt * x - y * dx/dt)]/(x^2)
Step-by-step explanation:
Given that x and y are the lengths of the sides adjacent and opposite θ, then they are related by:
tan θ = y/x
Differentiating respect to t, we get:
sec^2 θ * dθ/dt = (dy/dt * x - y * dx/dt)/(x^2)
dθ/dt = [(cos^2 θ)*(dy/dt * x - y * dx/dt)]/(x^2)
Find the value or values of p in the quadratic equation p2 + 13p – 30 = 0. A. p = 15, p = 2 B. p = –10, p = –3 C. p = 10, p = 3 D. p = –15, p = 2
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p^2+13p-30=0
p +15
p -2
(p+15)(p-2)=0
p= -15
p=2
Answer:
The correct option is D.
Step-by-step explanation:
The given quadratic equation is
[tex]p^2+13p-30=0[/tex]
First find two numbers whose sum is 13 and whose product is -30.
The two numbers are 15 and -2.
[tex]p^2+(15-2)p-30=0[/tex]
[tex]p^2+15p-2p-30=0[/tex]
[tex]p(p+15)-2(p+15)=0[/tex]
[tex](p+15)(p-2)=0[/tex]
By using zero product property, equate each factor equal to 0.
[tex]p+15=0[/tex]
[tex]p=-15[/tex]
[tex]p-2=0[/tex]
[tex]p=2[/tex]
Therefore the values of p are -15 and 2. Option D is correct.