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ollegr [7]
3 years ago
7

If f(x) = x2 + 1 and g(x) = 5x – 3, what is f(g(x))?

Mathematics
1 answer:
lapo4ka [179]3 years ago
7 0

Answer:

5x2 - 10

Step-by-step explanation:

F(5x - 3)

(5x - 3)2 + 1

5x2 - 9 + 1

5x2 - 10

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6 0
3 years ago
Inequality for thirty is no greater than the sum of a number and -8
Alecsey [184]

Answer:

30≤-8+x

Step-by-step explanation:

The wording no greater then lets us know that  the inequality is less than or equal to. The wording sum means the its adding the number and negative 8. Lets have x represent the unknown number.

30≤-8+x

7 0
3 years ago
{2x + 3y = 5}{ y= 5 x -4}
Natasha_Volkova [10]

Solve the system using substitutions:

\begin{gathered} 2x+3y=5 \\ 2x+3(5x-4)=5 \\ 2x+15x-12=5 \\ 17x=5+12 \\ 17x=17 \\ x=\frac{17}{17} \\ x=1 \end{gathered}

x has a value of 1. Use this value to find the value of y.

\begin{gathered} y=5x-4 \\ y=5\cdot1-4 \\ y=5-4 \\ y=1 \end{gathered}

y has a value of 1.

x=1

y=1

8 0
1 year ago
The mosquito population is a function of rainfall, and can be approximated by the formula N(x)=−x3+45x2+1000 where x is the numb
KiRa [710]

Answer:

Therefore the population will be maximum when x=30 inches.

Step-by-step explanation:

Given that, the mosquito population is a function of rainfall and can be approximated by the formula

N(x)= -x^3+45x^2+1000

where x is the number of inches of rainfall.

N(x)= -x^3+45x^2+1000

Differentiating with respect to x

N'(x)= -3x^2+90x

Again differentiating with respect to x

N''(x)=-6x+90

Now we set N'(x)=0

-3x^2+90x=0

\Rightarrow -3x(x-30)=0

\Rightarrow x=0,30

N''(0)=-6.0+90=90>0

N''(30)=-6.30+90=-90

Since at x=30, N''(x)<0, So at x=30, N(x) has maximum value.

Therefore the population will be maximum when x=30 inches.

5 0
2 years ago
What is theoretical vs practical domain in an exponential equation. Plz provide an example too
olya-2409 [2.1K]

Answer:

The theoretical probability of an event occurring is an "expected" probability based upon knowledge of the situation. It is the number of favorable outcomes to the number of possible outcomes. Example: ... There are 6 possible outcomes when rolling a die: 1, 2, 3, 4, 5, and 6. The only favorable outcome is rolling a 6.Practical domains and ranges narrow the solution sets to be realistic within defined parameters.The possible values of "x" is called the domain. The possible values of "y" is called the range.

Step-by-step explanation:

7 0
3 years ago
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