All categories

3 years ago

4. Written as the product of two binomials, the expression (x+3)(4x –1)-(x+3)(x –9) is

Mathematics

1 answer:

Mariulka [41]3 years ago

6 0

Answer:

Step-by-step explanation:

(x+3)(4x-1)=4x^2+11x-3

(x+3)(x-9)=x^2-6x-27

if we add both binomials we will get=3x^2+17x+24

the expression in this case is a binomial

You might be interested in

What is 4(1 + 9x) simplified?

konstantin123 [22]

Answer:

4 + 36x is your expression

Step-by-step explanation:

4 x 1 = 4

4 x 9x = 36x

so 4 + 36x is your expression because you can't add numbers with different variables or if they don't even have one.

7 0

3 years ago

Read 2 more answers

Please help on this question for me!

Gnoma [55]

Answer:

parallelograms. angles

4 0

3 years ago

If the ratio of a circle's sector to its total area is 1/3, what is the measure of

nalin [4]

Answer:

option A: 120°

Step-by-step explanation:

$Area \ of \ circle = \pi r^2\\\\Area \ of \ sector = \pi r^2 \frac{ \theta}{360}\\\\Ratio \ of \ sector \ to \ circle = \frac{1}{3}\\\\That is, \\\frac{1}{3} = \frac{\pi r^2 \frac{\theta}{360}} {\pi r^2}\\\\\\\frac{1}{3} = \frac{\theta}{360} \\\\\frac{360}{3} = \theta\\\\120 = \theta$

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

F(x)=e^(4x)+e^(4x) need the answer

brilliants [131]

Answer:

Step-by-step explanation:

F(x)=e^(4x)+e^(4x) =2e^(4x)

5 0

3 years ago