<span>First of all, write these in a way people can read them in the future. Don't make it so hard to help you.
Secondly:
Given that a♥b = 2a(32− b)
If a♥b = −23, solve for b in terms of a.
A) b = 16a + 32
B) b = 13a + 32
C) b = 12a + 32
D) b = 16a − 32
</span>-23 = 2a(32− b), devide both sides by 2a -23/2a = 32 - b, subtract 32 from both sides -23/2a - 32 = -b, multiply both sides by -1 23/2a + 32 = b
verified:
b = 23/2a + 32
-23 = 2a(32 − (23/2a + 32))
-23 = 2a(32 -23/2a -32)
-23 = 2a(-23/2a)
-23 = -23
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Note that a translation along the horizontal is affected by the dependent variable. Hence the correct graphical representation will be Graph C
<h3>Translation and transformation</h3>
Translation is the transformation technique of changing the position of an object on the xy-plane.
Give the parent function f(x) = x^2, if the parent function is translated to the right by 4 units (along the horizontal), the resulting function h(x) will be (x+4)^2
Note that a translation along the horizontal is affected by the dependent variable. Hence the correct graphical representation will be Graph C
Learn more on translation here: brainly.com/question/12861087
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y = -1/25x + 30
The +30 represents the 30 gallons of gasoline at the beginning of Samantha's road trip.
As each mile, x, does by, 1/25 of a gallon is lost (because the van gets 25 miles per gallon). so you put a negative 1/25 in front of the x. Therefore, when Samantha has driven x miles, she will have y gallons of gas left.
What operation are you using before you sovle the problem division multiplied addition subtraction for this problem befor you do anything else