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3 years ago

Given that f (x)=2x+5 and g(x)=x-7 solve for f (g (x)) when x=-3

Mathematics

1 answer:

Alexeev081 [22]3 years ago

7 0

2(-3-7)+5= <span>2(-10)+5= -20 + 5= -15

-15 is your final answer</span>

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Pamela is 6 years younger than Jiri. The sum of their ages is 78 . What is Jiri's age?

Alona [7]

Let’s make

P = Pamela
J = Jiri

J - 6 = P

P + J = 78

We can replace P with J - 6 because they are the same thing.

J - 6 + J = 78

2J - 6 = 78

2J = 84

J = 42

Jiri is 42 years old.

6 0

2 years ago

If you buy five of the XYZ bonds with $8 commission for each how much will it cost?

Tema [17]

Answer:

B) 5065

Step-by-step explanation:

100.5 times 5 = 502.5

502.5 times 100

+ 8 times 5 (commission)

3 0

3 years ago

Please help sorry if it’s a little blurry! I’ll mark brainliest if you tell me why you got that answer.

In-s [12.5K]

Answer:

the answer is c

Step-by-step explanation:

Since jane weighs 126 and is gaining 3 pounds per month that would make the part of the equation that is 126+3m and since Cynthia weighs 134 and is gaining 2 pounds every month that is what makes the 134+2m part of the equation. And since the equation is 134+2m=126+3m then the goal is to find how many months it would take for their weights' to be equal. Sorry that my explaining skills are terrible hopefully I helped a little.

3 0

3 years ago

Which of the following is the equation of a circle whose center is at the origin and whose radius is 4?

Gennadij [26K]

$\bf \textit{equation of a circle}\\\\ 
(x- h)^2+(y- k)^2= r^2
\qquad 
center~~(\stackrel{0}{ h},\stackrel{0}{ k})\qquad \qquad 
radius=\stackrel{4}{ r}
\\\\\\
(x-0)^2+(y-0)^2=4^2\implies x^2+y^2=16$

4 0

3 years ago

For the system below identify the parameters as growth rates, carrying capacities, and measure of interactions between species.

babunello [35]

Answer:

2 and 3 are the the growth rates parameter for x and y respectively
16 and 20 are the carrying capacities for x and y respectively
2 and 7 measures the benefit to x and y of the interaction of the two species.

The species compete each other.

Step-by-step explanation:

When we have a population model for two species as we have here, the differential equations looks like this:

$\frac{dx}{dt}=a*x+b\frac{x^{2}}{N}+c*xy$

$\frac{dy}{dt}=d*x+e\frac{y^{2}}{M}+f*xy)$

Here:

a and d are the the growth rates parameter for x and y respectively

N and M are the carrying capacities for x and y respectively

c and f measures the benefit to x and y of the interaction of the two species.

So in our case we have:

$\frac{dx}{dt}=2*x+\frac{x^{2}}{16}+2*xy$

$\frac{dy}{dt}=3*x-\frac{x^{2}}{20}-7*xy$

Therefore:

2 and 3 are the the growth rates parameter for x and y respectively
16 and 20 are the carrying capacities for x and y respectively
2 and 7 measures the benefit to x and y of the interaction of the two species.

The term xy determine the if the species are cooperating of competing, so in this case have negative xy term in the second equation, it means the presence of either species decreases the rate of change of the other, so the species compete each other.

I hope it helps you!

3 0

3 years ago