Answer: Hello mate!
A direct variation implies that, if y is the dependent variable that varies with the variable x; then: y = k*x where k is a real number.
An inverse variation has the form y = k/x where also k is a real number.
them, if we define s as the hours that Bob spends studying, and b as the hours that he spends playing baseball, then the equation that represents the score is:
Score(s,b) = k*s/b
we know that if s = 6, and b = 7, then the score is 72; with this information, we could obtain the value of the constant k.
score(6,7) = 72 =k*6/7 = k*
then k = 72*(7/6) = 61.7
now if s = 4 and b = 6, the score that he should expect is:
score( 4, 6) = 61.7*(4/6) = 41
Take the second equation and flip it around so the y on the left ends up on the right and the 4x on the right ends up on the left. This makes all negatives positive and all positives negative. -4x + 12 = y
Then add the first equation to the second equation
4x +12 = -7y
<u>-4x + 12 </u>=<u> y </u> this eliminates the x's
<u>24</u> = -<u> 6y</u> then divide by - 6
- 6 - 6
- 4 = y<u>
</u>So if you know that y = negative 4, you can substitute into either equation. I pick the second one because I am a lazy person.
-y + 12 = 4 x
-(-4) + 12 = 4 x combine your numbers<u>
</u> <u> 16 </u> = <u>4 x </u> then divide by 4<u>
</u> 4 = x
So your solution is: x = 4 and y = -4 or this is also written (4, -4)
Does that work for you?
Answer:
The absolute value equation to represent the scenario is |x - 250| = 25. Also, the minimum amounts and maximum amounts that the artist received for her products is $225 and $275 respectively.
What is an equation?
An equation is an expression that shows the relationship between two or more variables and numbers.
Let x represent the amount the artist can receive for the goods, hence:
|x - 250| = 25
x - 250 = 25 or -(x - 250) = 25
x = 275 or x = 225
The absolute value equation to represent the scenario is |x - 250| = 25. Also, the minimum amounts and maximum amounts that the artist received for her products is $225 and $275 respectively.
The solution of the equation x2+7x is 0, -7 using the quadratic formula.
Step-by-step explanation:
x2 + 7x = 0
-b ± √
b2 - 4(ac)/ 2a
substitution,
a = 1, b = 7, c = 0
= -7 ± √(7)2 - 4(1 x 0) / 2 x 1
= - 7
± 7 / 2
x = 0 , -7
Answer:
True: the leading coefficient in the monomial is -7
Step-by-step explanation:
Math
