Using The Almighty Formula (attached)
Note the symbol ^ is used to denote a raise to power
Where from the equation given x^2-5x-7
With a,b,c coefficients
a=1 b=-5 c=-7
From the Almighty Formula
√b^2-4ac=√(-5)^2-4(-7)=√53
Substituting in the Almighty Formula
-(-5) ±√53/2(1)= 5±√53/2
x=5+√53/2 and x=5-√53/2
Step-by-step explanation:
<u>5</u><u>)</u><u> </u>2.4×10^-5 / 4.5×10^-11
- 2.4×10^-5= 0.000024
- 4.5×10^-11= 0.000000000045
=0.000024/0.000000000045
=24/1 × 1,000,000/45
=24,000,000/45
=533,333.33°
=5.33333°×10^5
**NOT SURE ABOUT THIS QUESTION
<u>6</u><u>)</u><u> </u>(4,-2)
<u>7</u><u>)</u> --------
<u>8</u><u>)</u>
- 2x + 3 = 5x - 2
- 2x - 5x = - 2 - 3
- -3x = -5
- x = -5/-3
- x = 1.66°
- 6x + 4 = 6x + 4
- 2 (2x + 3) = 8x - 2
- 4x + 6 = 8x - 2
- 4x - 8x = -2 - 6
- -4x = -8
- x = -8/-4
- x = 2
- -3x + 2 = -3x + 5
Letter be has no solution because it is broken down as "0x = 0"
Answer:
Step-by-step explanation:
"When 200 gallons of oil were removed from a tank" algebraically looks like this:
V - 200.
"...the volume of oil left in the tank was 3/7 of the tank's capacity" algebraically looks like this:
3/7(V)
Therefore, the equation is
V - 200 = 3/7(V)
Begin by multiplying both sides by 7:
7(V - 200) = 3V and
7V - 1400 = 3V so
-1400 = -4V so
V = 350 gallons
That's if the volume of the oil in the tank was 3/7 of the tank's capacity.
For the other part of the problem, we set up the equation almost the same, except the 3/7 is a 1/2:
V - 200 = 1/2(V)
Multiplying both sides by 2 gives you
2(V - 200) = V and
2V - 400 = V so
-400 = -V so
V = 400
500 meters because there are 1000 kilometers equals one kilometer. 0.5 is half of 1 so, the half of 1000 meters is 500 meters.
HOPE THIS helps you !!
