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Nadusha1986 [10]
2 years ago
8

Average rate of change help!!

Mathematics
1 answer:
frez [133]2 years ago
3 0

Given that the function is f(x)=x^{3}-6 x^{2}+4 x+7

We need to determine the average rate of change over the interval 0 \leq x \leq 5

<u>Value of f(x) when x = 0:</u>

Substituting x = 0 in the function f(x)=x^{3}-6 x^{2}+4 x+7, we have;

f(0)=(0)^{3}-6 (0)^{2}+4 (0)+7

f(0)=0-0+0+7

f(0)=7

Thus, the value of f(0) is 7.

<u>Value of f(x) when x = 5:</u>

Substituting x = 5 in the function f(x)=x^{3}-6 x^{2}+4 x+7, we have;

f(5)=(5)^{3}-6 (5)^{2}+4 (5)+7

f(5)=125-150+20+7

f(5)=2

Thus, the value of f(5) is 2.

<u>Average rate of change:</u>

The average rate of change can be determined using the formula,

Rate \ of \ change=\frac{f(b)-f(a)}{b-a}

where a=0 and b=5

Thus, we have;

Rate \ of \ change=\frac{f(5)-f(0)}{5-0}

Rate \ of \ change=\frac{2-7}{5-0}

Rate \ of \ change=\frac{-5}{5}

Rate \ of \ change=-1

Thus, the average rate of change over the interval 0 \leq x \leq 5 is -1.

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Convert the angle \theta=260^\circθ=260
mel-nik [20]

Question:

Convert the angle θ=260° to radians.

Express your answer exactly.

θ = ___ radians

Answer:

260° = 13π/9 or 4.54 rad

Step-by-step explanation:

Given

θ=260°

Required

Convert from degree to radians

To convert an angle in degrees to radians, we simply follow the steps below.

1° = 1 * π/180 rad

Replace the 1° with x

So,

x° = x * π/180 rad.

Now, we assume that x = 260

This means that we substitute 260 for x. This gives

260° = 260 * π/180

260° = 260π/180

Divide numerator and denominator by 20

260° = 13π/9

We can leave the answer in this form or solve further.

Take π as 22/7. This gives

260° = 13/9 * 22/7

260° = 286/63

260° = 4.5396825397

260° = 4.54 rad (Approximated)

3 0
3 years ago
Am I correct if I am not please give me the right answer and I’ll give points. Thank you
STatiana [176]

the first two are correct, but the answer for c should be 125

3 0
3 years ago
Read 2 more answers
Please help!! law of sines and cosines related
pickupchik [31]

Answer:

as below

Step-by-step explanation:

to find the height of the pole recall the relationship of sin cos and tan to the triangle with this helpful mnemonic   SOH CAH TOA

Sin = Opp / Hyp

Cos = Adj / Hyp

Tan = Opp / Adj

we will need to solve two triangles and subtract  them.

one is the 15° one of the slope of the road and the other is the 57° one that is the angle of the sun. sooooo,

lets solve the 15° one first.  We are told that the adj side is 75'

since we know the angle and the adj side and we want to find the Opp side let's use Tan b/c it has all of those in it :)  

Tan(15) = Opp / 75

75*Tan(15) = Opp   ( I'll put my calculator to work for this )

20.096 = Opp

that's the height of the road to the bottom of the flag pole along that flag pole axis into the ground  

next lets solve the 57°  triangle in the exact same way

Tan(57) =Opp / 75

75*Tan(57) = Opp

115.4898 = Opp

the tall triangle is the one that goes all the way into the ground,  the small one is the one that is under the ground

so subtract the small one from the big one to find the height of the flag pole above the ground

115.4898-20.096 = 95.3938

so the flag pole is about 95.4 feet tall

:o that's pretty tall :

4 0
2 years ago
Can guys please help me, please solve E
Eddi Din [679]

Answer:

Step-by-step explanation:

h(x)=12/x

h(a)= 12/a  ( a is a variable number just replace x with a)

4 0
2 years ago
A juice shop uses 1/2 of a bag of oranges to make 5 glasses of orange juice. What fraction of a bag of oranges did the shop use
pashok25 [27]

Answer: 0.1 OR 1/10

Step-by-step explanation:

Think about it: There's 1/2 bag of oranges, and you wanna know what number of oranges used in the juice. Take 1/2, and divided it by 5. You get 0.1, then you should turn it into a fraction, giving you 1/10.

6 0
3 years ago
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