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3 years ago

A furniture store is having a sale where everything is 40% off.

1 answer:

8 0

If everything in the store is 40% off, then you can assume that the discount is .4*p, so the equation for the amount of discount would be d=.4p

The equation for the sale price of an item would be the starting price, p, minus the discount price, d. If we write this equation, we get S=p-d. Since we already solved for d, we can plug that into this new equation to get s=p-.4p. If the regular price is $85, then we can plug that in for p.

when it is plugged in, we get s=85,.4(85). Simplify this and you get s=85-34 or s=51. This means that the sale price would be $51

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abruzzese [7]

Answer:

Hello,

Step-by-step explanation:

$\dfrac{3^{n+1}+9}{3^{n-1}+1} \\\\=\dfrac{9*(3^{n-1}+1)}{3^{n-1}+1}\\\\=9\\$

4 0

3 years ago

7(x+2)=2x-1 solve for the variable

Len [333]

Answer:

x = - 3

Step-by-step explanation:

Given

7(x + 2) = 2x - 1 ← distribute parenthesis on left side

7x + 14 = 2x - 1 ( subtract 2x from both sides )

5x + 14 = - 1 ( subtract 14 from both sides )

5x = - 15 ( divide both sides by 5 )

x = - 3

7 0

3 years ago

50 points! I understand A. and B. but I would really appreciate help with C.

FromTheMoon [43]

Answer:

$51.72\text{ cells per hour}$

Step-by-step explanation:

So, the function, P(t), represents the number of cells after t hours.

This means that the derivative, P'(t), represents the instantaneous rate of change (in cells per hour) at a certain point t.

So, we are given that the quadratic curve of the trend is the function:

$P(t)=6.10t^2-9.28t+16.43$

To find the instanteous rate of growth at t=5 hours, we must first differentiate the function. So, differentiate with respect to t:

$\frac{d}{dt}[P(t)]=\frac{d}{dt}[6.10t^2-9.28t+16.43]$

Expand:

$P'(t)=\frac{d}{dt}[6.10t^2]+\frac{d}{dt}[-9.28t]+\frac{d}{dt}[16.43]$

Move the constant to the front using the constant multiple rule. The derivative of a constant is 0. So:

$P'(t)=6.10\frac{d}{dt}[t^2]-9.28\frac{d}{dt}[t]$

Differentiate. Use the power rule:

$P'(t)=6.10(2t)-9.28(1)$

Simplify:

$P'(t)=12.20t-9.28$

So, to find the instantaneous rate of growth at t=5, substitute 5 into our differentiated function:

$P'(5)=12.20(5)-9.28$

Multiply:

$P'(5)=61-9.28$

Subtract:

$P'(5)=51.72$

This tells us that at exactly t=5, the rate of growth is 51.72 cells per hour.

And we're done!

7 0

3 years ago

Find the equation of the line parallel to the line y = 4x – 2 that passes through the point (–1, 5).

Anni [7]

Find the equation of the line parallel to the line y = 4x – 2 that passes through the point (–1, 5).

y = 4x – 2 has slope = 4
parallel lines have same slope so slope = 4

passes through the point (–1, 5).
y = mx+b
5 = 4(-1) + b
b =9

equation
y = 4x + 9

answer

The slope of y = 4x – 2 is 4
The slope of a line parallel to y = 4x – 2 is 4
The equation of the line parallel to y = 4x – 2 that passes through the point (–1, 5) is y = 4x + 9

4 0

3 years ago

Read 2 more answers

In the diagram below, the perimeter of the triangle is equal to the perimeter of the square. What is the length of a side of the

kondaur [170]

The perimeter of each is the sum of the lengths of its sides.

Triangle Perimeter = 16 + 4x-3 +3x = 7x+13

Square Perimeter = 2x +2x +2x +2x = 8x

If these are equal, you have

$7x+13=8x\\\\13=x\qquad \mbox{subtract 7x}\\\\26=2x\qquad \mbox{multiply by 2}$

The length of a side of the square is 26 units.

3 0

3 years ago