Here we have a quadratic function and we want to find the value of a constant with a given restriction.
We will find that c = 8.
So we have the function:
[tex]f(x) = -2c + cx - x^2[/tex]
We know that:
[tex]f(5)^{-1} = -1 = \frac{1}{-2c + c\cdot 5 - (5)^2}[/tex]
Notice that the above equation means that:
[tex]-2c + c\cdot5 - (5)^2 = -1[/tex]
Then we just need to solve the above equation for c:
[tex]-2c + 5c - (5)^2 = -1\\\\(-2 + 5)\cdot c - 25 = -1\\\\3\cdot c = -1 + 25\\\\3\cdot c = 24\\\\c = 24/3 = 8[/tex]
So we found that the value of c is 8.
This means that the function is:
[tex]f(x) = -16 + 8\cdot x - x^2[/tex]
You can see the graph below:
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What word best describes PR?
Answer:
PR is the diameter of the circle
Answer:
DiameterStep-by-step explanation:
Diameter: connecting 2 points on a circle passing through the center.
OAmalOHopeO
1)An average American human lives about 78.74 years. A survey gave an average time spent going to the bathroom to be 102 minutes per week. If there are 52 weeks in a year, 7 days in a week and 1 day is 24 hours, then how many minutes do Americans spend on the toilet in their life time?
2)How many minutes have you spent on going to the bathroom if you are at the age of 16?
Please help me solve this
9514 1404 393
Answer:
a) q = 15 at minimum average cost; q = 10 at minimum marginal cost
b) marginal cost = average cost = 225 at q = 15
Explanation:
The average cost is the total cost divided by the number of units.
A = C/q = 300 -10q +1/3q^2
The marginal cost is the derivative of the total cost.
M = 300 -20q +q^2
__
a) The minimum average cost is where its derivative is zero.
A' = 0 = -10 +2/3q ⇒ q = 15
The minimum marginal cost is where its derivative is zero.
M' = -20 +2q ⇒ q = 10
__
b) The average cost for 15 units produced is ...
A(15) = 300 -10(15) +1/3(15^2) = 225
The marginal cost at that same production level is ...
M(15) = 300 -20(15) +15^2 = 225
The average cost and marginal cost are equal at the minimum average cost.
Find an equation for the line with the given properties. Express the equation in slope-intercept form. Containing the points P = (-3,1) and Q = (-1,0). What is the equation of the line?
y =
Answer:
y=-x/2-1
Step-by-step explanation:
The slope of the line is y=-1/2. Using the slope intercept form, we have y+1=(-1/2)x, y=-x/2-1
find the distance between these points.
A(5,8), B(-3,4)
Answer:
Distance between the points is 8.94 units
Step-by-step explanation:
General formula:
[tex]{ \boxed{ \bf{distance = \sqrt{ {(x_{1} - x _{2} )}^{2} + {(y _{1} - y _{2} ) }^{2} } }}}[/tex]
substitute:
[tex]{ \sf{ = \sqrt{ {(5 - ( - 3))}^{2} + {(8 - 4)}^{2} } }} \\ = { \sf{ \sqrt{64 + 16} }} \\ = { \sf{ \sqrt{80} }} \\ = 8.94 \: units[/tex]
[tex]{ \underline{ \sf{ \blue{christ \: † \: alone}}}}[/tex]
ASAP
When the following quadratic equation is written in general form, what is the value of "c"?
THE EQUATION IS IN THE ATTACHMENT
a.) -8
b.)-2
c.)-6
wrong=reported
Answer:
+ 2 is a value for "C"
if the general form is ax^2 + bx +c and you want the A to be a positive integer...
then the c value would be -8
3x^2 - 8 = 0
Step-by-step explanation:
Which of the following choices is the correct translation of the statement: "the length of a rectangle if the length is twice the size of the width increased by one"?
Оооо
1 = 2w - 1
I = 2w + 1
1 = 3w
None of these choices are correct.
The length of a rectangle if the length is I = 2w + 1.
What is a rectangle?
A Rectangle is a 4 sided-polygon, having all the inner angles identical to 90 ranges. the 2 aspects at each corner or vertex, meet at right angles. the alternative sides of the rectangle are identical in length which makes it specific from a square.
The area of the rectangle is = length * breath
The perimeter of the rectangle = 2(L*B)
Learn more about rectangles here:-https://brainly.com/question/25292087
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please help asap it's important!!!
Answer:
486cm^2
Step-by-step explanation:
Surface area of cube = (6a^2)
6×9×9=486.
Multi-Step Literal Equations
Solve the following equation for b. Be sure to take into account whether a letter is capitalized or not.
t+1/2b=Y
[tex]\\ \sf\longmapsto t+\dfrac{1}{2}b=Y[/tex]
take t right side[tex]\\ \sf\longmapsto \dfrac{1}{2}b=Y-t[/tex]
[tex]\\ \sf\longmapsto \dfrac{b}{2}=Y-t[/tex]
[tex]\\ \sf\longmapsto b=2(Y-t)[/tex]
[tex]\\ \sf\longmapsto b=2Y-2t[/tex]
What kind of shape will you see if you cut a cross section parallel to the base of a cylinder
Answer:
Hexagons, Cross sections parallel to the base will be hexagons. It is also possible to take cross sections using planes that are neither parallel not perpendicular to the base
Answer:
The cross-section parallel to the base is a hexagon congruent to the hexagonal bases. The cross-section perpendicular to the base is a rectangle. The cross-section parallel to the base is a pentagon similar to the pentagonal base. The solid is a cylinder.
& A wall is 20 m long and 5 m high. Find the area of the wall. How many 2 m long 2 m broad flex be fitted on the wall? Suppo tanks the se be and Cuboid
Area of wall = l×b
Length = 5m
Breadth = 20m
Area = 5×20
=100m²
Area of flex = side×side
= 2×2
= 4m²
Now no of flex that can be fitted = 100/4
= 25 flex
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2 square5 + 5 square5
Answer:
=2^5+5^5
=32+3125
=3157
Find the number if 20% of 64 is 10% of it?
Answer:
128
Step-by-step explanation:
20% of 64
= 0.2 × 64 = 12.8
10% = 12.8 , then
100% = 12.8 × 10 = 128
Answer:
The number is 128
Step-by-step explanation:
Let the number be represented by X
Therefore
20/100*64=10/100*X
---10X=1280
Now dividing both sides of the equation by 10 it will be
=10X/10=1280/10 which is
---X=128
Therefore the number is 128
a man's income is rupees 12000 per month if the.If the rate of income tax ia rs2.50 per rs100,how much tax should he pay?
Answer:
don't know
Step-by-step explanation:
Lisa took a survey of her classmates' favorite sport and recorded their genders. The results are in the table below:
Answer:
0.5 is the answer of this question
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help me me Tim x,y,z
Have a good day and I'll hope you get to good score for this homework
please help asap don't give me the wrong answers.
Answer: 340cm^
Step-by-step explanation:
you have to multiply them to find out
Which classification describes the following system of equations?
(12x+5y-32= 36
x-2y + 4z = 3
9x-10y + 5z = 27
Answer:
(12x+5y-32=36
12x-x+5y-2y-32=36
Help me with this question please‼️‼️
Explanation:
The gradient is the same as the slope
m = slope
m = rise/run
m = (change in y)/(change in x)
m = (y2-y1)/(x2-x1)
m = (6-1)/(6 - (-4))
m = (6-1)/(6+4)
m = 5/10
m = 1/2
In decimal form, this becomes 0.5
A slope of 1/2 means we move up 1 and to the right 2 units each time to generate points along the diagonal line.
A positive slope goes uphill as we move to the right (due to the positive rise value).
Answer:
One way to find the gradient is using the expression :
[tex]m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}} = \frac{y_{B} - y_{A}}{x_{B} - x_{A}}[/tex]
So [tex]m = \frac{6 - 1}{6- (-4)} =\frac{5}{10} =\frac{1}{2}[/tex]
multiple the following
[tex] \frac{18}{15} \times \frac{25}{12} [/tex]
Answer:
5/2
Step-by-step explanation:
(18/15)*(25/12)=(18*25)/(15*12)=450/180=5/2
46 x 53 please show with work or something
Answer:
2,438
Step-by-step explanation:
53
46
______
318
212
_______
2438
6 times 3 is 18. Put the 8 in the ones place and carry the 1 ~ 6 times 5 is 30. Add the carried 1 and you have 31. Put that next to the 8. ~ 4 times 3 is 12. put the 2 under the 1 in 318 and carry the 1. ~ 4 times 5 is 20. Add the carried 1 and you have 21. ~ Put that next to the 2. Now add 318 to 2120 and you have the answer of 12438.
sons
Find the values of a and b in the rhombus, Solve for the value of c, it ca tb.
3b+4, (5a-5)
A
Question Progress
(14a +20)
13b-9
A5
OB.4.7
Oct
0,63
Pest Selection
2
30
13'5 Sunny
Answer:
D
Step-by-step explanation:
The sides of a rhombus are congruent , then
13b - 9 = 3b + 4 ( subtract 3b from both sides )
10b - 9 = 4 ( add 9 to both sides )
10b = 13 ( divide both sides by 10 )
b = 1.3
The diagonals are perpendicular bisectors of each other , then
14a + 20 = 90 ( subtract 20 from both sides )
14a = 70 ( divide both sides by 14 )
a = 5
Thus c = a + b = 5 + 1.3 = 6.3 → D
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[tex]\huge\color{lime}\boxed{\colorbox{black}{Answer : - }}[/tex]
sec² θ (1 + sin θ) (1 - sinθ ) = k
sec² θ(1-sin²θ ) = k
sec² θ cos² θ = k
sec² θ. 1 /sec²θ = k
1 = k
.. k = 1.
Find the value of x in the triangle shown below.
13
5
х
Answer:
x=12
Step-by-step explanation:
This is a right triangle, so the Pythagorean theorem can be used. The Pythagorean theorem states that [tex]C^2=a^2+b^2[/tex] where C is the hypotenuse and a and b are legs. In this question, we are given a and C. So, plugin 13 for C and 5 for a and solve for b. Once you rearrange the equation you get, [tex]b=\sqrt{13^2-5^2}[/tex]. Next, solve what is under the root to get, [tex]b=\sqrt{144}[/tex]. Finally, square root 144 for the final answer b=12.
Answer:
x = 12
Step-by-step explanation:
c² = a² + b²
13² = 5² + b²
169 = 25 + b²
b² = 169 - 25
b² = 144
b = 12
Solve the equation for x.
- 7(x + 4) - 4= - 32
Integer or fraction
Answer:
x=0
Step-by-step explanation:
- 7(x + 4) - 4= - 32
Add 4 to each side
- 7(x + 4) - 4+4= - 32+4
- 7(x + 4) = - 28
Divide by -7
- 7(x + 4) /-7= - 28/-7
x+4 = 4
Subtract 4 from each side
x+4-4 = 4-4
x=0
What do the sides in a triangle add up to? I know that the inner angles of a triangle add up to 180°, but what do the sides of a triangle add up to?
Answer:
The most basic fact about triangles is that all the angles add up to a total of 180 degrees. The angle between the sides can be anything from greater than 0 to less than 180 degrees. The angles can't be 0 or 180 degrees, because the triangles would become straight lines.
Step-by-step explanation:
basic only
What is the quotient' mean?
Answer:
When you divide, the answer is the quotient.
Step-by-step explanation:
For example:
6/3 = 2
The quotient is 2
the question is "13, 17, 21, 23, 29 one of the numbers is different from the rest, which one and why?"
step by step explanation
Answer:
21
Step-by-step explanation:
it is not a prime number, according to prime number only the number and 1 can it be divided but here 21 can be divided by 1,3,7 and 21 itself. Therefore others are prime number except 21
16. PLEASE HELP ME
Solve the equation by factoring.
z2 - 6z - 27 = 0
A. z = 3 or z = 9
B. z = –3 or z = 9
C. z = –3 or z = –9
D. z = 3 or z = –9
Answer:
B
Step-by-step explanation:
z^2 - 6z - 27 = 0
(z - 9)(z+3) = 0
z - 9 = 0 z + 3 = 0
z = -3, 9
-9y-2=x
4x-3y=31
Solve by substitoution
Answer:
x=7
y=-1
Step-by-step explanation:
x=-9y-2--------(1)
4x-3y=31
4x=31+3y
x=31/4+3/4y-------(2)
x=-9y-2=31/4+3/4y
-9y-3/4y=31/4+2
-39/4y=39/4
y=-1
substitute in 1
(-9*(-1))-2=x
x=7