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zvonat [6]
3 years ago
7

A curve has the equation y=x^3+8x^2+5

Mathematics
1 answer:
Dmitry_Shevchenko [17]3 years ago
7 0
Cut x (0;5)
Image below shows the graph

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Use the functions f(x) = 4x − 5 and g(x) = 3x + 9 to complete the function operations listed below.
Sindrei [870]
Hello : 
<span>f(x) = 4x − 5 and g(x) = 3x + 9
</span><span>(f + g)(x) = f(x) +g(x) = (4x-5) +(3x+9)
</span><span>(f + g)(x) =7x +4
</span><span>(f ⋅ g)(x) = f(x) × g(x) = (4x-5)(3x+9) = 12x² +36x -15x-45
</span>(f ⋅ g)(x) = 12x² +21x -45
<span>f[g(x)] = f(3x+9) = 4(3x+9) -5
</span><span>f[g(x)] = 12x +31</span>
5 0
4 years ago
Can anyone just help me please solving these maths problems, Not sure if my answers is right. thanks
LenKa [72]
5. 1/8
6. 1/4
7. the fraction part it 1/3
7 0
3 years ago
Read 2 more answers
16x25 rewritten correctly using commutative property and then simplified correctly
marysya [2.9K]

Answer:

rewritten in commutative property: 25 x 16

simplified: 400

Step-by-step explanation:

3 0
2 years ago
Read 2 more answers
A farmer is tracking the number of soybeans his land is yielding each year. He finds that the function f(x) = −x2 + 20x + 100 mo
Aliun [14]

Answer:

The average rate of change = -10

The crop yield decreased by 10 pounds per acre from year 10 to year 20.

Step-by-step explanation:

A farmer is tracking the number of soybeans his land is yielding each year. He finds that the function f(x) =-x^2 + 20x + 100 models the crops in pounds per acre over x years.

The average rate of change can be calculated using formula

\dfrac{f(b)-f(a)}{b-a}

In your case,

a=10\\ \\b=20,

then

f(a)=-10^2+20\cdot 10+100=-100+200+100=200\\ \\f(b)=-20^2+20\cdot 20+100=-400+400+100=100

and the average rate of change is

\dfrac{100-200}{20-10}=\dfrac{-100}{10}=-10

This means the crop yield decreased by 10 pounds per acre (negative rate of change) from year 10 to year 20.

5 0
3 years ago
Read 2 more answers
Using the distributive property, what is the best way to multiply 8 by 7?
Wittaler [7]

8 x 7 = 56

Just multiply the two, if the question was 7 + 8 x 7

then you'd multiply 8 by 7 and that would give you 56

then you'd add 7 for the final answer of 63 but you don't have to add 7 in this problem 


4 0
3 years ago
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