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2 years ago

9

Jay has $1000 in his bank account. every week he withdraws $30 to pay his bills. write an equation that represents the balance i

n his account.

1 answer:

Verizon [17]2 years ago

6 0

I don’t know how many weeks it is for but
1,000 (30• amount of weeks)
and thats the equation :)

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Hard question but would help me out

Alekssandra [29.7K]

Answer:

Critical value f(1)=2.

Minimum at (1,2), function is decreasing for $0$ and increasing for $x>1.$

$\left(3,\dfrac{4}{\sqrt{3}}\right)$ is point of inflection.

When 0<x<3, function is concave upwards and when x>3, , function is concave downwards.

Step-by-step explanation:

1. Find the domain of the function f(x):

$\left\{\begin{array}{l}x\ge 0\\x\neq 0\end{array}\right.\Rightarrow x>0.$

2. Find the derivative f'(x):

$f'(x)=\dfrac{(x+1)'\cdot \sqrt{x}-(x+1)\cdot (\sqrt{x})'}{(\sqrt{x})^2}=\dfrac{\sqrt{x}-\frac{x+1}{2\sqrt{x}}}{x}=\dfrac{2x-x-1}{2x\sqrt{x}}=\dfrac{x-1}{2x^{\frac{3}{2}}}.$

This derivative is equal to 0 at x=1 and is not defined at x=0. Since x=0 is not a point from the domain, the crititcal point is only x=1. The critical value is

$f(1)=\dfrac{1+1}{\sqrt{1}}=2.$

2. For $0$ the derivative f'(x)<0, then the function is decreasing. For $x>1,$ the derivative f'(x)>0, then the function is increasing. This means that point x=1 is point of minimum.

3. Find f''(x):

$f''(x)=\dfrac{(x-1)'\cdot 2x^{\frac{3}{2}}-(x-1)\cdot (2x^{\frac{3}{2}})'}{(2x^{\frac{3}{2}})^2}=$

$=\dfrac{2x^{\frac{3}{2}}-2(x-1)\cdot \frac{3}{2}x^{\frac{1}{2}}}{4x^3}=\dfrac{2x^{\frac{3}{2}}-2\cdot\frac{3}{2}x^{\frac{3}{2}}+ 2\cdot\frac{3}{2}x^{\frac{1}{2}}}{4x^3}=$

$=\dfrac{-x+3}{4x^{\frac{5}{2}}}.$

When f''(x)=0, x=3 and $f(3)=\dfrac{3+1}{\sqrt{3}}=\dfrac{4}{\sqrt{3}}.$

When 0<x<3, f''(x)>0 - function is concave upwards and when x>3, f''(x)>0 - function is concave downwards.

Point $\left(3,\dfrac{4}{\sqrt{3}}\right)$ is point of inflection.

4 0

2 years ago

Answer Choices: a) slope=-3 b)slope=-1/3 c)1/3

Leto [7]

Answer:

A) -3

Step-by-step explanation:

If you move down three times and once to the right, you get the next point.

Slope = rise/run

It rises -3 units and run 1. So -3/1 which can be simplified to just -3

<em>Hope this helped and plz mark as brainliest!</em>

<em></em>

<em>Luna G.</em>

8 0

2 years ago

Y = 8x + 10<br><br> y = 2<br><br> whats the substitution ?

viva [34]

Answer:

Look at the explanation.

I'll be online so let me know if you still need help.

Step-by-step explanation.

A system of equations is basically two or more equations that rely on each other. If a solution for a variable is 2, it has to work for the other equation.

The substitution is basically plugging in the y value to y = 8x + 10

If y = 2

and also y = 8x + 10

What do you think the substitution is?

3 0

2 years ago

Find the GCF of 44 and 66

NISA [10]

The factors of 44 are: 1, 2, 4, 11, 22, 44

The factors of 66 are: 1, 2, 3, 6, 11, 22, 33, 66

Then the greatest common factor is 22.

7 0

2 years ago

Read 2 more answers

A triangle and a rectangle are shown below.

nadezda [96]

Answer:

10 cm

Step-by-step explanation:

From the diagram,

Applying,

lw = 5/2(bh)..................... Equation 1

Where l = length of the rectangle, w = width of the rectangle, b = base of the triangle, h = height of the triangle.

make w the subject of the equation

w = 5(bh)/2l............... Equation 2

From the diagram,

Given: l = 12 cm, b = 6 cm, h = 8 cm

Substitute into equation 2

w = 5(6×8)/(2×12)

w = 10 cm

Hence the width of the rectangle is 10 cm

8 0

2 years ago