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aleksandrvk [35]
3 years ago
6

Let f(x)=3x^2-x+2 and g(x)= 5x^2-1. find f(g(x))

Mathematics
2 answers:
Romashka-Z-Leto [24]3 years ago
7 0

Answer:

15x^4-5x^2+1

Step-by-step explanation:

g(x)=5x^2-1 and f(x)=3x^2-x+2

f(g(x))would mean that g(x) would be x in f(x).

So f(g(x) would be 15x^4-3-5x^2+1+2

simplified would be 15x^4-5x^2+1

LenKa [72]3 years ago
3 0
F (5x^2 - 1) = 75x^4 - 35x^2 + 6
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Answer:

f(z)={3z-30. if 0<z<10}

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On Rocko's 6th birthday, he was 3 feet, 10 inches. On Rocko's 11th birthday, he was 4 feet, 8 inches, How many inches per year w
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5 0
3 years ago
Rephrase in contrapositive form:
miv72 [106K]

Step-by-step explanation:

Consider the provided information.

For the condition statement p \rightarrow q or equivalent "If p then q"

The rule for Contrapositive is: Negative both statements and interchange them. \sim q \rightarrow \sim p

Part (A) If you are taller than 6 ft, then it is unpleasant for you to travel in economy class.

Here p is "you are taller than 6 ft, and q is "it is unpleasant for you to travel in economy class".

It is given that Your contrapositive must not contain explicit references to negation. Assume that the negation of "unpleasant" is "pleasant".

Contrapositive: If it is pleasant for you to travel in economy class then you are not taller than 6 ft then.

Part (B) "If x ≥ 0 and y ≥ 0 then xy ≥ 0" where x, y are real numbers.

Here p is "xy≥ 0, and q is "x ≥ 0 and y ≥ 0"

The negative of xy≥ 0 is xy<0, x ≥ 0 is x<0 and y ≥ 0 is y<0.

Remember negative means opposite.

Contrapositive: If xy < 0 then x<0 and y<0.

8 0
3 years ago
A rectangular vegetable garden will have a width that is feet less than the length, and an area of square feet. If x represents
ivanzaharov [21]

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5 0
2 years ago
: A new bear population that begins with 150 bears in 2000 decreases at a rate of 20% per year.
d1i1m1o1n [39]

Answer:

2 bears in 2020.

Step-by-step explanation:

We have been given that a new bear population that begins with 150 bears in 2000 decreases at a rate of 20% per year.

We will use exponential decay formula to solve our given problem as:

y=a\cdot (1-r)^x, where,

y = Final quantity,

a = Initial value,

r = Decay rate in decimal form,

x = Time

20\%=\frac{20}{100}=0.20    

Upon substituting our given values in above formula, we will get:

y=150(1-0.20)^x

y=150(0.80)^x, where x corresponds to year 2000.

To find the population in 2020, we will substitute x=20 in our equation as:

y=150(0.80)^{20}

y=150(0.011529215046)

y=1.7293822569    

y\approx 2

Therefore, 2 bears are there predicted to be in 2020.

Since population is decreasing so population is best described as exponential decay.

8 0
3 years ago
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