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Aleks [24]
3 years ago
10

Analyze each graph and determine which of the provided scenarios it models, then, for each graph, label the x- and y-axis with t

he appropriate quantity and unit of measure. Finally, label each tick mark with the correct intervals.

Mathematics
1 answer:
tekilochka [14]3 years ago
8 0

Could not do the 2nd one, but will update if I figure it out

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What is the distance between the solutions to the quadratic<br> equation x2 – 7x + 10 = 28
Kryger [21]

Answer:

11

Step-by-step explanation:

Given

x² - 7x + 10 = 28 ( subtract 28 from both sides )

x² - 7x - 18 = 0 ← in standard form

(x - 9)(x + 2) = 0 ← in factored form

Equate each factor to zero and solve for x

x - 9 = 0 ⇒ x = 9

x + 2 = 0 ⇒ x = - 2

The distance between the solutions is

| 9 - (- 2) | = | 11  = 11 units

4 0
3 years ago
Show that tangent is an odd function.Use the figure in your proof.
svlad2 [7]

We have to prove that the tangent is an odd function.

If the tangent is an odd function, the following condition should be satisfied:

\tan(t)=-\tan(-t)

From the figure we can see that the tangent can be expressed as:

We can start then from tan(t) and will try to arrive to -tan(-t):

\begin{gathered} \tan(t)=\frac{\sin(t)}{cos(t)}=\frac{y}{x} \\ \tan(t)=\frac{-(-y)}{x}=\frac{-\sin(-t)}{\cos(-t)} \\ \tan(t)=-\frac{\sin(-t)}{\cos(-t)} \\ \tan(t)=-\tan(-t) \end{gathered}

We have arrived to the condition for odd functions, so we have just proved that the tangent function is an odd function.

7 0
1 year ago
The nature center has a fish tank
ANEK [815]

Answer:

288 small fish.

Step-by-step explanation:

The first thing is to calculate the volume of the prism, which would be the area of the base (length by width) and that by the height, that is:

a = l * w * h

l = 6

w = 4

h = 4

Replacing

a = 6 * 4 * 4

a = 96 cubic feet

they tell us that per cubic foot there is room for 3 small fish, therefore:

96 * 3 = 288

Which means that there are 288 small fish.

4 0
3 years ago
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Naya [18.7K]

Answer:

I think D because it seems the most reasonable

6 0
1 year ago
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A customer went to a garden shop and bought some potting soil for $12.50 and 5 shrubs. The total bill was $62.50. Write and solv
OverLord2011 [107]
62.50 - 10 - 10 - 10 - 10 - 10 (five times)= 12.50
4 0
3 years ago
Read 2 more answers
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