1 step (B): raise both sides of the equation to the power of 2.
.
2 step (A): simplify to obtain the final radical term on one side of the equation.
.
3 step (F): raise both sides of the equation to the power of 2 again.
.
4 step (E): simplify to get a quadratic equation.
.
5 step (D): use the quadratic formula to find the values of x.
.
6 step (C): apply the zero product rule.
.
Additional 7 step: check these solutions, substituting into the initial equation.
Travel direction 3i + 2j, slope = 2/3.
We have slope and a point (-2,1) this gives us a line equation:
LINE BEFORE THE TURN, EQUATION: y = (2/3)x + 1
The point of intersection of the two lines:
1) through (-2,1) with slope 2/3 and;
2) through (-1,6) with slope 3/2.
Answer:
m < 49/12
Step-by-step explanation:
The portion of the quadratic formula under the square root sign is the discriminant.
If the discriminant is > 0 then there are two real roots.
b² -4ac > 0
-----------------------------
7² - 4(3)m > 0
49 - 12m > 0
Subtract 49 from both sides
-12m > -49
Divide both sides by -12
(when multiplying or dividing by a negative the inequality must be reversed)
m < 49/12
<span> C. No, Henry did not get a reasonable amount of apples because he needed 2.5 more pounds of apples (2.5 + 2.5 = 5).
</span>
Answer:
x=7
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
6(x−1)=−2x+50
(6)(x)+(6)(−1)=−2x+50(Distribute)
6x+−6=−2x+50
6x−6=−2x+50
Step 2: Add 2x to both sides.
6x−6+2x=−2x+50+2x
8x−6=50
Step 3: Add 6 to both sides.
8x−6+6=50+6
8x=56
Step 4: Divide both sides by 8.
8x
/8
=
56
/8
x=7
