Answer: The number 0
x^2 + 8x - 4 = x^2 + 8
8x - 4 = 8 ... subtract x^2 from both sides
8x = 12 .... add 4 to both sides
x = 12/8 .... divide both sides by 8
x = 3/2 ... reduce
x = 1.5 .... convert to decimal form
Now plug x = 1.5 into the expression 2x-3 and simplify
2x-3 = 2*1.5-3 = 3-3 = 0 which is the answer
Answer:
32 seconds
Step-by-step explanation:
For some number of seconds (s), Tess's essay length (t) will be ...
t = 42 +1.3s
and Margo's essay length (m) will be ...
m = 122 -1.2s
We will have t > m when ...
t > m
42 +1.3s > 122 -1.2s
2.5s > 80 . . . . . . . . add 1.2s-42
s > 32 . . . . . . . . . . . divide by 2.5
After 32 seconds, Tess's essay will exceed Margo's in length.
Answer:
(–10, –2), (6, 6)
Step-by-step explanation:
we know that
The formula to calculate the slope between two points is equal to
<u><em>Verify each case</em></u>
case 1) (5, –4), (–2, 1)
substitute in the formula
----> the slope is negative
case 2) (6, –10), (2, 10)
substitute in the formula
----> the slope is negative
case 3) (–10, –2), (6, 6)
substitute in the formula
----> the slope is positive
case 4) (5, –1), (–6, 6)
substitute in the formula
----> the slope is negative
Step-by-step explanation:
in a geometric sequence there is a constant factor x that is multiplied with every previous term to create the next one.
a2 = 20
a5 = 1280 = a2×x×x×x = a2×x³ = 20x³
64 = x³
x = 4
=> a1 = 5
therefore
an = an-1×4 =
n > 1
Common Factors of 32 and 36
factors of 32 = 1, 2, 4, 8, 16 and 32
factors of 36 = 1, 2, 3, 4, 6, 9, 18, 36
<span>So the common </span>factors of 32 and 36 are 1, 2 and 4.
The greatest common factor is 4
