<span>8 is a common factor for all coeficients so we factor it out first: 8(2x^2 + x + 4). Now we have to check can we factor the quadratic equasion in the brackets to linear factors. To do that we need to check is the discriminant D=b^2 - 4ac > 0 where a=2, b=1 and c=4. When we insert our numbers, we get: D= -31. We see that D < 0 so 8(2x^2 + x + 4) is the completely factored form.</span>
{x-(-3/4)}^2=3^2
(x+3/4)^2=9
{(4x+3)/4}^2=9
(4x+3)^2/16=9
(4x+3)^2=9*16
16x^2+2*4x*3+3^2=144
16x^2+24x+9=144
16x^2+24x+9-144=0
16x^2+24x-135=0
Answer:
0.8941
Step-by-step explanation:
sin D = opp / hyp = 6 m / 6.71 m = 0.8941
Answer:
B. f(x)
D. h(x)
Step-by-step explanation:
An exponential function will have a common ratio.
We check and see if the consecutive terms has a common ratio.
For f(x),

This is not an exponential sequence.
For g(x), we have:

For h(x),

This is not an exponential sequence
For k(x),

Answer:
It will take 22.5 minutes to complete 1 mile
Step-by-step explanation:
From the question,
The marching band walks 1/15 miles in 1.5 minutes
First we will determine the miles cover in 1 minute
If the marching band walks 1/15 miles in 1.5 minutes
then, they will cover
miles in 1 minute

Then,

miles
∴ 2/45 miles are covered in 1 minute
Now,
If 2/45 miles are covered in 1 minute
Then, 1 mile will be covered in
minute


∴ 
Hence, it will take 22.5 minutes to complete 1 mile