Answer:
Step-by-step explanation:
the rate is -4.2, so after an hour the temperature would be -4.2 degrees
I'll try to do each individual step, hopefully that'll clear it up
w= 3(2a+b)-4
w+4= 3(2a+b)
(w+4)/3 = 2a+ b
2a= ((w+4)/3) - b
a= (((w+4)/3) - b)/ 2
Use identity -
(a+b)² = a²+b²+2ab
(5+√3)² = 5²+(√3)² + 2(5)(√3)
= 25 + 3 + 10√3
= 28 + 10√3
= 2(14+ 5√3)
<h3><u>The correct answer is: B.</u></h3>
We could use a graphing calculator to solve this easily, but let's just solve it by looking at the equation.
We'll need to turn this standard form equation into a slope-intercept form equation to be able to easily solve it.
Isolate y.
2x - 3y = 7
<em><u>Add 3y to both sides.</u></em>
2x = 3y + 7
<em><u>Subtract 7 from both sides.</u></em>
3y = 2x - 7
<em><u>Divide both sides by 3.</u></em>
y = 2/3x -7/3
Now, we can plug each x value in the answer choices into x to find the corresponding y value.
y = 2/3(7) - 7/3 = 2.34
As this y value does not match, A is not the answer.
y = 2/3(-4) - 7/3 = -5
This y value does match, so B is the correct answer.
y = 2/3(-9) - 7/3 = -8.34
This y value doesn't match either, so C is not the answer.
y = 2/3(9) - 7/3 = 3.67
This y value doesn't match either, so D is not the answer.
Answer:
By scoring 240 in the sixth game, Marlon can maintain this exact average
Step-by-step explanation:
The first thing to do here is to calculate the average for the first 5 games.
Mathematically, the average can be calculated by adding all the scores in the games and dividing by 5;
= (210 + 225 + 254 + 231 + 280)/5 = 1200/5 = 240
Now to maintain this average score of 240, we want to know the score she must have in the 6th game.
Let the score be x;
By adding x to the previous total of 1200 before and dividing by the new count of 6, we can work our way to get x.
Mathematically, what we are saying is;
(1200 + x)/6 = 240
6 * 240 = 1200 + x
1440 = 1200 + x
x = 1440 -1200
x = 240
