To write an equation in standard form, move each term to the left side of the equation and simplify.
ax2+bx+c = 0ax2+bx+c = 0
Move all the expressions to the left side of the equation.
−17−8x2−4x+3x2 = 0-17-8x2-4x+3x2 = 0
Add −8x2-8x2 and 3x23x2.
−17−5x2−4x = 0-17-5x2-4x = 0
Reorder the polynomial.
5x2+4x+17 = 0
Step-by-step explanation:
I hope this helped-
Answer:
56.42 minutes
Step-by-step explanation:
The initial sample= y0 = 800
After 13 minutes , amount = 320
Y= y0e-kt
320 = 800e-k(13)
320/800 = e-k13
0.4 = e-k13
In0.4 = -k13
-0.91629= -k13
0.07048= k
Y = 800e-0.07048t
Minutes when the bacterial present will be 15
15 = 800e-0.07048t
15/800= e-0.07048t
0.01875 = e-0.07048t
In 0.01875 = -0.07048t
-3.97656 = -0.07048t
-3.97656/-0.07048= t
56.42 = t
56.42 minutes
Answer:
f(x) = x*3/4 + 42.5
Step-by-step explanation:
The original difference between the pair is 70 - 30 = 40
The new difference between the pair is 95 - 65 = 30
Since the differences are not the same, Mrs Bailey must first perform a (slope) multiplication by a factor of 30/40 or 3/4
Then 30 * 3/4 = 22.5
Then she can shift the scores up by 65 - 22.5 = 42.5 in order to get the range from 65 to 95
Therefore, f(x) = x*3/4 + 42.5. We can test that
f(30) = 30*3/4 + 42.5 = 65
f(70) = 70*3/4 + 42.5 = 95
The formula for the area of a triangle is base*height/2. So lets input the number.
15*40=600/2=300 cm2
-5i/2i. is the answer because all you have to do is add the -5 and the i.
