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amid [387]
2 years ago
6

Length Width Pls help me

Mathematics
1 answer:
svetoff [14.1K]2 years ago
3 0
These are the steps needed for this question hope this helps if there is any more questions do feel free to ask them

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Use the parabola tool to graph the quadratic function f(x)=(x-5)^2+1
andrey2020 [161]

Answer:

Look to the attached graph

Step-by-step explanation:

* Lets revise how to graph the quadratic function

- Find the vertex of it

- Find the y-intercept

- Find the x-intercept

∵ f(x) = (x - 5)² + 1 ⇒ the completing square form

- The completing square form for any quadratic is

 ( x - h)² + k, where h and k are the coordinate of the vertex point

* Lets compare the two forms

∵ (x - h)² + k = (x - 5)² + 1

∴ h = 5 and k = 1

∴ The vertex of the parabola is (5 , 1)

- To find the x-intercept put f(x) = 0

∵ (x - 5)² + 1 = 0 ⇒ subtract 1 from both sides

∴ (x - 5)² = -1 ⇒ the square can not give -ve number

∴ The parabola does not intersect the x-axis

- To find the y-intercept put x = 0

∵ f(0) = (0 - 5)² + 1 = 25 + 1 = 26

∴ The parabola intersects the y-axis at point (0 , 26)

- The parabola is opened upward because the coefficient of x² is +ve

* Now lets graph it

- Look to the attached graph

5 0
3 years ago
The cost and revenue functions for producing and selling x units of a product are given. Cost and revenue are expressed in dolla
Flauer [41]

Answer:

(A) the number of units produced and sold at break-even point is the value of X and that is 1.126 units.

(B) the dollar amount coming in and going out at this point/level is the price of X and that is 0.37 dollars

(C) the profit function for X units produced and sold is: π(x) = R(x) - C(x)

where pie (the symbol "π") represents PROFIT.

Step-by-step explanation:

(A) C(x) = 75x + 84 ...(equation 1)

660R(x) = 245x

R(x) = 245x ÷ 660 = 0.3712x

So R(x) = 0.3712x ...(equation 2)

To find X, equate the cost function to the revenue function

75x + 84 = 0.3712x

X = -1.126units

Since quantity cannot be negative in real life situation, we use the modulus of X in place of the above value.

|X| = 1.126 hence X = 1.126 now

Since we equated cost to revenue in order to get this quantity X, X is the quantity produced and sold at break even point.

Break-even point is the point where cost = revenue

This is also the point where profit is zero because profit = revenue - cost

(B) Revenue = Price × Quantity

R = P×Q

Our revenue here is 0.3712x

Which is equal to 0.418 dollars

So P = R÷Q

Price = 0.418÷1.126 = 0.37 dollars

(C) This is the profit function from producing and selling X units of the product: π(x) = R(x) - C(x)

4 0
3 years ago
What is the quotient of 25.95 divided by 50.25? *
Ainat [17]

Answer:

Quotient: 2

Remainder: 0

50 = 25 × 2 + 0

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Hey, Please help!!
Mazyrski [523]

Step-by-step explanation:

1. d = rt

Divide t from both sides.

\frac{d}{t} = r

2. PV = nRT

Divide P from both sides.

V = \frac{nRT}{P}

3. \frac{x}{2} -g=a\\

Add g to both sides.

\frac{x}{2} = g + a

Now multiply by 2 on both sides.

x = 2(g + a)

(or, x = 2g + 2a)

4. g(h+\frac{3}{2} ) = 11

Divide g from both sides.

h + 1.5 = \frac{11}{g}

Now subtract 1.5 from both sides.

h = \frac{11}{g} -1.5

5. a(n-2)+5=bn\\

n = \frac{2a-5}{a - b}

5 0
3 years ago
What is 3x-2 if x=-1/3
Mama L [17]

Givens

x = - 1/3

y = 3x - 2


Problem solve for y

y = 3(-1/3) - 2

but 3 * (1/3) = 1

and 3 * (- 1/3) = - 1


So y = -1 - 2

y = - 3


Think of this as a money question. If you are one dollar in the whole and you spend 2 more, you are not 3 in the whole which is minus 3.

7 0
3 years ago
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