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Aloiza [94]
3 years ago
13

Over what interval is the graph of f(x) = –(x + 8)2 – 1 decreasing?

Mathematics
2 answers:
Arturiano [62]3 years ago
7 0
F(x) = -(x + 8)² - 1 

<span>The function (not its graph) decreases on interval [-8, ∞). It is a quadratic function in vertex form. That form makes it easy to pick out the one extremum, where x equals -8. The leading coefficient is negative, so the extremum must be a maximum. The function decreases as x increases from there. </span>

<span>Notice that I include the value -8 in the interval. The function does not have instantaneous decrease at that value, but that is not what it means for a function to be decreasing over an interval. </span>

<span>Let a and b be any two values on [-8, ∞), such that a < b. </span>

<span>-8 ≤ a < b </span>

<span>Then f(a) > f(b). Therefore, function f is decreasing on interval [-8, ∞).</span>
IRISSAK [1]3 years ago
3 0

Answer:

A.

Step-by-step explanation:

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8 0
3 years ago
BRAINLIEST:<br> x * 36 = 144
diamong [38]

Answer: The answer is 4.

Step-by-step explanation:

4 * 36 = 144

144 / 36 = 4

Hope this helps you!

8 0
3 years ago
Farmer Jim keeps 12 hens in every cooper if farmer Jim has 20 coops how many hens does her in all if every hens lays 9 on Monday
Andrej [43]

Question

Farmer Jim keeps 12 hens in every cooper if farmer Jim has 20 coops

a) how many hens does she have ?

b) if every hens lays 9 eggs on Monday how many eggs will farmer Jim collect on Monday

Answer:

a) 240 hens

b) 2160 eggs

Step-by-step explanation:

a) Farmer Jim keeps 12 hens in every cooper if farmer Jim has 20 coops

Hence,

1 coop = 12 hens

20 coops = y hens

Cross Multiply

y hens = 20 coops × 12 hens/1 coop

y hens = 240 hens

Therefore Farmer Jim has 240 hens

b) We are told in question b that: if every hens lays 9 eggs on Monday how many eggs will farmer Jim collect on Monday?

From question a) we determine that the number of hens that Farmer Jim has:

240 hens

Hence,

1 hen = 9 eggs

240 hens = z eggs

z eggs = 240 hens × 9 eggs/1 hen

z eggs = 2160 eggs

Therefore, on Monday Farmer Jim will collect 2160 eggs

7 0
3 years ago
What is the modulus of z = 3 - 4i?<br> z =
Lorico [155]

Answer:

Z=3-4i

Step-by-step explanation:

i know because i ask my teacher.

8 0
3 years ago
What is the probability of getting tails 4 times in a row while flipping a coin?
skelet666 [1.2K]

Answer:

P=0.0625

Step-by-step explanation:

The probability of getting one tails is a half.

The probability of getting another tails given you had a tails is:

\frac{1}{2}*\frac{1}{2}=(\frac{1}{2})^2=\frac{1}{4}

The probability of getting n tails in general is given by:

(\frac{1}{2})^n = \frac{1}{2^n}

So, when we have four tails - our value for n is four.

(\frac{1}{2})^4=\frac{1}{2^4}=\frac{1}{16}=0.0625

7 0
3 years ago
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