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tigry1 [53]
2 years ago
8

Find the solution by graphing or from the graph y=x2-2x-8 how do you do this?

Mathematics
1 answer:
Tomtit [17]2 years ago
3 0

Answer:

-2 and 4

Step-by-step explanation:

Graph it using a graphing calculator.  The solutions are the points where the graph crosses the x-axis.

I attached a photo of the graph, you can see that the graph crosses the x-axis at points -2 and 4

These are the solutions!

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Litter such as leaves falls to the forest floor, where the action of insects and bacteria initiates the decay process. Let A be
Travka [436]

Answer:

D = L/k

Step-by-step explanation:

Since A represents the amount of litter present in grams per square meter as a function of time in years, the net rate of litter present is

dA/dt = in flow - out flow

Since litter falls at a constant rate of L  grams per square meter per year, in flow = L

Since litter decays at a constant proportional rate of k per year, the total amount of litter decay per square meter per year is A × k = Ak = out flow

So,

dA/dt = in flow - out flow

dA/dt = L - Ak

Separating the variables, we have

dA/(L - Ak) = dt

Integrating, we have

∫-kdA/-k(L - Ak) = ∫dt

1/k∫-kdA/(L - Ak) = ∫dt

1/k㏑(L - Ak) = t + C

㏑(L - Ak) = kt + kC

㏑(L - Ak) = kt + C'      (C' = kC)

taking exponents of both sides, we have

L - Ak = e^{kt + C'} \\L - Ak = e^{kt}e^{C'}\\L - Ak = C"e^{kt}      (C" = e^{C'} )\\Ak = L - C"e^{kt}\\A = \frac{L}{k}  - \frac{C"}{k} e^{kt}

When t = 0, A(0) = 0 (since the forest floor is initially clear)

A = \frac{L}{k}  - \frac{C"}{k} e^{kt}\\0 = \frac{L}{k}  - \frac{C"}{k} e^{k0}\\0 = \frac{L}{k}  - \frac{C"}{k} e^{0}\\\frac{L}{k}  = \frac{C"}{k} \\C" = L

A = \frac{L}{k}  - \frac{L}{k} e^{kt}

So, D = R - A =

D = \frac{L}{k} - \frac{L}{k}  - \frac{L}{k} e^{kt}\\D = \frac{L}{k} e^{kt}

when t = 0(at initial time), the initial value of D =

D = \frac{L}{k} e^{kt}\\D = \frac{L}{k} e^{k0}\\D = \frac{L}{k} e^{0}\\D = \frac{L}{k}

4 0
3 years ago
The watch at Macys is $400. The store is having a sale and everything is 30% off. What is the final price of the watch?
Ivahew [28]

Answer:

The price of the watch is 280$

Step-by-step explanation:

We know that the original price is 400 dollers, and its on sale for 30%.

So we do 30% of 400 = 120$

finally we do, 400$ - 120$ = 280$

so the final price of the watch is 280$

hope this helps

5 0
3 years ago
25000ft to gal help me please
Alex787 [66]
25000ft=187012.99gal
4 0
3 years ago
Find m angle f to the nearest degree
dimaraw [331]

Answer:

∠F ≈ 53°

General Formulas and Concepts:

<u>Trigonometry</u>

  • sin∅ = opposite over hypotenuse
  • sin inverse evaluates "backward" to find the measure angle

Step-by-step explanation:

<u>Step 1: Define</u>

Looking at ∠F

opposite leg of ∠F = ED = 8

hypotenuse = FE = 10

<u>Step 2: Find m∠F</u>

  1. Substitute:                    sin∠F = 8/10
  2. Simplify:                        sin∠F = 4/5
  3. Take sin inverse:          ∠F = sin⁻¹(4/5)
  4. Evaluate:                       ∠F = 53.1301°
  5. Round:                           ∠F ≈ 53°
8 0
3 years ago
How do you factor 4a^2+11a-20
bixtya [17]
You have to factor by grouping.
(4a - 5) (a + 4)
4 0
3 years ago
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