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RUDIKE [14]
3 years ago
5

Combine the like terms to create an equivalent expression: -5r+ 8r+ 5

Mathematics
2 answers:
bulgar [2K]3 years ago
6 0
-5r+8r = equals 3 so the equivalent expression is 3r+5
Agata [3.3K]3 years ago
6 0

Answer:

3r + 5

Step-by-step explanation:

  1. -5r + 8r = 3r
  2. Re-write the expression: 3r + 5

I hope this helps!

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This is a list of names randomly selected to form the jury pool.
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3 years ago
The interest rate r required to increase investment p to amount a in t years is found using the formula r=(a/p)^1-t - 1. Find th
valkas [14]
The interest rate would be 20%.

The formula is derived from the compound interest formula

A=p(1+r)^t.

We want to isolate r in this equation to rewrite the formula.  The first thing we would cancel, outside parentheses, would be p; divide both sides by p and we have

\frac{A}{p}=(1+r)^t

We want to cancel the exponent, t, next.  We can raise a power to its reciprocal to undo it; for example, raising a squared amount to the 1/2 power will undo the exponent.  We will raise both sides of this to the 1/t power:

(\frac{A}{p})^{\frac{1}{t}}=1+r

Now we cancel the 1 by subtracting, giving us

(\frac{A}{p})^{\frac{1}{t}}-1=r

Using this formula, we plug in 3600 for A, 2500 for p and 2 for t:


4 0
4 years ago
Geometry (21)<br><br> Study Guide
DanielleElmas [232]
Answer: 11x-3y = 32

---------------------------------------------------------------

Explanation:

The given points are
A = (-4,-2)
B = (4,4)
C = (18,-8)

First we'll use points A and C to find the slope of line AC
m = (y2-y1)/(x2-x1)
m = (-8-(-2))/(18-(-4))
m = (-8+2)/(18+4)
m = -6/22
m = -3/11
The slope of AC is -3/11

Take the negative reciprocal of this slope
Flip the fraction: -3/11 -----> -11/3
Flip the sign: -11/3 ----> +11/3 = 11/3

The slope of AC is -3/11 while the slope of any line perpendicular to AC is 11/3
Let m = 11/3 and (x,y) = (4,4) which are the coordinates of point B
Plug these values into slope intercept form and then solve for b
y = mx+b
4 = (11/3)*4+b
4 = 44/3+b
4 - 44/3 = 44/3+b-44/3
b = 4 - 44/3
b = 12/3 - 44/3
b = (12 - 44)/3
b = -32/3

Since m = 11/3 and b = -32/3, we go from this
y = mx+b
to this
y = (11/3)x-32/3

Now clear out the fractions and get the x and y variables to one side
y = (11/3)x-32/3
3y = 3*[ (11/3)x-32/3 ]
3y = 11x - 32
3y-11x = 11x-32-11x
-11x+3y = -32
-1*(-11x+3y) = -1*(-32)
11x-3y = 32

The equation of the through B that is perpendicular to AC is 11x-3y = 32 (this equation is in Ax+By = C form which is called standard form)
This is better known as the altitude through B


3 0
3 years ago
Please answer number 6
saw5 [17]
B should equal 10. you just have to figure out what would get you b and then you can figure it out from there!!

8 0
3 years ago
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