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3 years ago

3.6 - 2 - 3 = 4x - 8 please helppp

Mathematics

1 answer:

chubhunter [2.5K]3 years ago

5 0

Answer:

x=1.65

Step-by-step explanation:

First switch sides

4x-8=3.6-2-3

Then subtract 3.6 - 2 - 3

4x-8=-1.4

Add 8 to both sides

4x-8+8=-1.4+8

simplify

4x=6.6

Divide both sides by 4

4x/4 - 6.6/4

The simplify again

x=1.65

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Divide 20x^2y^2+4xy^2-8y^2/4x^2y

Ksivusya [100]

I hope this helps you

[20x^2/4x^2y]+[4xy^2/4x^2y]-[8y^2/4x^2y]

[5/y]+[y]-[4y/x^2]

7 0

3 years ago

Write the integral in one variable to find the volume of the solid obtained by rotating the first-quadrant region bounded by y =

Dovator [93]

Answer:

V = π ∫₀² (y² − 8y + 6√(2y)) dy

V = π ∫₀² (6x − 5x² + x³) dx

Step-by-step explanation:

y₁ = 0.5x²

y₂ = x

First, find the intersections of the curves.

0.5x² = x

x² = 2x

x² − 2x = 0

x (x − 2) = 0

x = 0 or x = 2

So the points of intersection are (0, 0) and (2, 2).

When we revolve this region about the line x = 3, we get a hollow shape that looks like an upside-down funnel, or a volcano.

One option is to use washer method to find the volume, by cutting a thin horizontal slice of thickness dy, inner radius 3−x₁ = 3−√(2y), and outer radius of 3−x₂ = 3−y.

V = ∫₀² π [(3−y)² − (3−√(2y))²] dy

V = ∫₀² π (9 − 6y + y² − 9 + 6√(2y) − 2y) dy

V = π ∫₀² (y² − 8y + 6√(2y)) dy

Another option is to use shell method to find the volume, by cutting a thin vertical slice of thickness dx, radius 3−x, and height y₂−y₁ = x−0.5x².

V = ∫₀² 2π (3 − x) (x − 0.5x²) dx

V = ∫₀² 2π (3x − 1.5x² − x² + 0.5x³) dx

V = ∫₀² 2π (3x − 2.5x² + 0.5x³) dx

V = π ∫₀² (6x − 5x² + x³) dx

The second option is arguably easier to evaluate, but either one will get you the same answer (V = 8π/3).

7 0

4 years ago

Your realized income is $36,864.00/yr. Your fixed and housing expenses are 32% and your savings are 15% of your realized income

andriy [413]

Answer:

You will have $1628.16 per month in discretionary money.

Step-by-step explanation:

In order to find the amount of money you have left for discretionary purposes at the end of the money, you need to calculate the total amount of your monthly pay is going towards expenses and savings. Since there are 12 months in a year, your monthly income is $3072. Of that amount, you spend 32% on housing and 15% on savings, for a total of 47%. The remaining percentage of your income would be considered discretionary, which would account for 53%. To find the amount of money, you take your monthly income and multiply it by 53%, or .53, which gives you $1628.16.

6 0

3 years ago

Find the area of a circle which has a diameter of 26 centimeters.Round to the nearest hundredth (2 spaces beyond the decimal)

Marina86 [1]

Answer:

531 cm^2 approx

Step-by-step explanation:

Given data

Diameter= 26 cm

radius= d/2= 26/2= 13 cm

Area= πr^2

substitute

A= 3.142*13^2

A= 3.142*169

A= 530.998

A= 531 cm^2 approx

5 0

3 years ago

HELP! (Urgent pre-calculus question.)

marishachu [46]

2. means that for every x, there is eactly one y
basically, we can use the vertical line test to see if it crosses at any 2 points

first one works
2nd one works
3rd works
4th works
5th works
they are all one to one functions

3.
easy
steps
for f(x)=?
replace f(x) with y
switch x and y
solve for y
replace y with f⁻¹(x)
so

$f(x)=(1+x)^3-2$
replace
$y=(1+x)^3-2$
switch
$x=(1+y)^3-2$
solve
$x+2=(1+y)^3$
$\sqrt[3]{x+2}=1+y$
$-1+\sqrt[3]{x+2}=$
replace
$f^{-1}(x)=-1+\sqrt[3]{x+2}$
first option

4.
domain, hmm we can't divide by 0 so domain is all real numbers except for x=0
domain is $(-\infty,0) \cup(0,\infty)$
hmm, range
as x approaches negative or positive infinity, f(x)=5
as x approaches 0 from the left, f(x) appraoches negative infintiy
as x approaches 0 from the right , f(x) appraoches positive infintiy
so range is $(-\infty,5) \cup(5,\infty)$

domain is $(-\infty,0) \cup(0,\infty)$
range is $(-\infty,5) \cup(5,\infty)$
answer is the 4th option

8 0

3 years ago