Divide. (3a3 + 6a2) ÷ 3a how do I do this?

A study shows that, over the course of a lifetime, the average salary of college graduates is greater than the average salary of

iogann1982 [59]

Answer: The word "ensures" implies that it is certain.

In the case of the study, they simply found that the average salary is greater for college graduates. This doesn't mean that in every case the college graduate makes more money.

The problem is the word "ensures". Our study doesn't show certainty only a general pattern.

4 0

3 years ago

Read 2 more answers

The number of unread emails in Bryan’s account is 100. This number grows by 15 unread emails a day. The function N(t)=100+15t re

miv72 [106K]

Answer:

205

Step-by-step explanation:

Given

N(t) = 100 + 15t is the equation of the relation.

We're asked to find N(7)

Taking a look at the question again and putting it side by side the equation

N(t)

N(7)

We can deduce that t = 7, and as such, solve for it in the equation given

N(7) = 100 + 15(7)

N(7) = 100 + 105

N(7) = 205

Therefore, the number of unread mails after 7 days will be 205

8 0

2 years ago

Find the volume of the largest rectangular box in the first octant with three faces in the coordinate planes and one vertex in t

nataly862011 [7]

Let (x, y, z) be a point on the plane in the first octant. The box formed by this point has volume xyz, and you want to maximize this subject to the equation of the plane.

Use the method of Lagrange multipliers: the Lagrangian is

L(x, y, z) = xyz - λ (x + 2y + 3z - 6)

Find its critical points:

∂L/∂x = yz - λ = 0

∂L/∂y = xz - 2λ = 0

∂L/∂z = xy - 3λ = 0

∂L/∂λ = -(x + 2y + 3z - 6) = 0

Solving the first three equations for λ gives

λ = yz = xz/2 = xy/3

Solve these equations for y and z :

• yz = xz/2 => y = x/2 => 2y = x

• yz = xy/3 => z = x/3 => 3z = x

Substitute these solutions into the last equation and solve for x, then again for y and z :

x + 2y + 3z - 6 = 3x - 6 = 0 => 3x = 6 => x = 2, y = 1, z = 2/3

At this critical point, the maximum volume is

xyz = 2*1*2/3 = 4/3

4 0

3 years ago

Marcus earned $54,000 last year when the Social Security tax was 6.2% of income up to $94,200. His Medicare tax was 1.45%. How m

AysviL [449]

Answer

Social security tax amount = $3348

Medicare tax amount = $743

Step by step explanation

The amount earned by Marcus = $54000

Social security tax = 6.2% = 6.2/100 = 0.062

Social security tax amount = 54000*0.062

Social security tax amount = $3348

Medicare tax = 1.45% = 1.45/100 = 0.0145

Medicare tax amount = 54000*0.0145

Medicare tax amount = $743

Hope this will help you.

6 0

2 years ago

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Factor Completely: -3x - 9

uranmaximum [27]

Step-by-step explanation:

-3x-9

divide the equation by -1 so that the -1's are taken from -3x and -9. so the -1 goes on the outside of 3x+9

-1(3x+9)

then divide the equation by 3 since 3x and 9 is divisible by 3.

(-1)(3)(3/3x+9/3)

-3(x+3)

Now we can expand again to check the problem

-3 times x=-3x

-3 times 3=-9

and add

-3x-9

Hope that helps :)

7 0

2 years ago