The part of the quadratic formula that dictates whether the function is factorable or not is B. b^2 - 4ac. This determines the number of real, imaginary, negative and positive roots.
In the equation <span>2x^2 + 7x + 3,
we use the quadratic formula
x = -b +- sqrt (b2 -4ac) /2a = -7 +- </span><span>sqrt (49 -24) /4
the answers are x1 =-0.5 and x2 = -3.</span>
Y = 4x + 2
y = 4×10 + 2
y = 42
the 10th term is 42
Answer:
Option A - The distance Train A traveled in 1 h is equal to the distance Train B traveled in 1 h.
Step-by-step explanation:
Given : The distance Train A traveled is modeled by the function 
where d represents distance in miles and t represents time in hours.
To find : How does the distance Train A traveled in 1 hour compare to the distance Train B traveled in 1 hour?
Solution :
Distance traveled by Train A in 1 hour is


Distance traveled by Train B in 1 hour is


or for B, we have 324 miles in 4 hours. If that is at a constant speed, it travels 324/4 = 81 miles in one hour
Therefore, The distance Train A traveled in 1 h is equal to the distance Train B traveled in 1 h.
Hence, Option A is correct.
Answer:
12
Step-by-step explanation:
These triangles are similar using the AA theroem. This means there sides are in corresponding proportion.
Side AR and Side TE are corresponding. Use this proportion.

This side the triangle SAR side lengths are 3/4 of side lengths of triangle SET.
We know that RS+ST=21
And that RS=3/4(ST).


x=12.
Side ST is 12
Answer:
x = 3
Step-by-step explanation:
First you want to divide both sides by 5 to get 2x-4 = 2.
Afterwards, you add 4 to both sides of the equation. 2x = 6
Divide both sides by 2. x = 3