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JulijaS [17]
3 years ago
13

What is x to the power of 3 - 2x simplified

Mathematics
1 answer:
Sidana [21]3 years ago
3 0

What is x to the power of 3 - 2x simplified  X^3-2x  X(x^2-2)

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Someone please help with this question :)!
Elodia [21]
I think a) would be the answer. I proceeded by elimination: the domaine of the function goes from 3 and continues to infinity, so that leaves with a) and b) as possible answers. Both have the same range and both of their functions reflect over the x axis, so we have to compare the two answer by looking at the position of the function in the graph. The function is in the first quadrant (top right corner), so the position of the function has to be at our right, which leads us to a).
3 0
2 years ago
How do you get a34 from a=-11+7n
marissa [1.9K]

Answer:

Step-by-step explanation:

34=-11+7A

We move all terms to the left:

34-(-11+7A)=0

We add all the numbers together, and all the variables

-(7A-11)+34=0

We get rid of parentheses

-7A+11+34=0

We add all the numbers together, and all the variables

-7A+45=0

We move all terms containing A to the left, all other terms to the right

-7A=-45

A=-45/-7

A=6+3/7

6 0
3 years ago
The Pacific halibut fishery has been modeled by the differential equation dy dt = ky 1 − y K where y(t) is the biomass (the tota
Dafna1 [17]

Answer:

a. The biomass weighs 2.30 * 10^7 kg after a year

b. It'll take 2.56 years to get to 4*10^7kg

Step-by-step explanation:

a.

k = 0.78,K = 6E7 kg

Given

dy/dt = ky(1- y/K)

Make ky dt the subject of formula

ky dt = dy/(1-y/K) --- make k dt the subject of formula

k dt = dy/(y(1-y/K))

k dt = K dy / y(K-y)

k dt = ((1/y) + (1/(K-y)))dy ---- integrate both sides

kt + c = ln(y/(K-y))

Ce^(kt) = y/(K-y)

Substitute the values of k and K

Ce^(0.78t) = y/(6*10^7 - y) ----- (1)

Given that y(0) = 2 * 10^7kg

(1) becomes

Ce^(0.78*0) = (2 * 10^7)/(6*10^7 - 2*10^7)

Ce° = (2*10^7)/(4*10^7

C = 2/7

Substitute 2/7 for C in (1)

2/7e^0.78t = y/(6*10^7 - y) ---(2)

We're to find the biomass a year later

So, t = 1

2/7e^0.78 = y/(6*10^7 - y)

0.62 = y/(6*10^7 - y)

y = 0.62(6*10^7 - y)

y = 0.62*6*10^7 - 0.62y

y + 0.62y = 0.62*6*10^7

1.62y = 0.62*6*10^7

1.62y = 3.72 * 10^7

y = 2.30 * 10^7kg.

Hence, the biomass weighs 2.30 * 10^7 kg after a year

b.

Here, we're to calculate the time it'll take the biomass to get to 4*10^7 kg

Substitute 4*10^7 for y in (2)

2/7e^0.78t = 4*10^7/(6*10^7 - 4*10^7)

2/7e^0.78t = 4*10^7/2*10^7

2/7e^0.78t = 2

e^0.78t = (2*7)/2

e^0.78t = 2

t = 2 * 1/0.78

t = 2.56 years

Hence, it'll take 2.56 years to get to 4*10^7kg

8 0
3 years ago
What is the y-intercept of the line represented by y = 4x?​
Brut [27]

Answer: 0

Step-by-step explanation: In order to identify the <em>y-intercept</em> of this equation, we want to get this equation into slope-intercept form which is more commonly known as y = mx + b form.

The problem is our equation doesn't match up quite so well with the formula y = mx + b. Our slope or <em>m</em> which is represented by the coefficient of the <em>x</em> <em>term</em> is clearly +4 but what is our y-intercept or b?

Well y = 4x can be thought of as y = 4x + 0 so you can see that our b or y-intercept equals 0.

5 0
3 years ago
Alvin is 9 years younger than Elga. The sum of their ages is 67. What is Elga's age?
ASHA 777 [7]

Answer:

Elga is 38

Step-by-step explanation:

Alvin is 29

38 + 29 = 67

6 0
2 years ago
Read 2 more answers
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