Answer:
x = -(a - b)/b
Step-by-step explanation:
Solve for x:
a = b (1 - x)
a = b (1 - x) is equivalent to b (1 - x) = a:
b (1 - x) = a
Divide both sides by b:
1 - x = a/b
Subtract 1 from both sides:
-x = (a - b)/b
Multiply both sides by -1:
Answer: x = -(a - b)/b
Answer: 300cal ≤ y ≤ 1200 cal
Step-by-step explanation:
Let's define x as the number of cookies that you eat, and y as the number of calories you consume in those cookies.
"if you eat no fewer than 2 cookies..."
This is written as:
2 ≤ x
This means that x can be equal to 2, or larger than 2.
"...and no more than 8 cookies"
This is written as:
x ≤ 8
This means that x can be smaller than 8 or equal to 8.
If we combine those two, we have:
2 ≤ x ≤ 8
And we know that each cookie contains 150 calories, and rememer that these numbers represent number of cookies, then the numbers of calories will be:
2*150 cal ≤ y ≤ 8*150 cal
300cal ≤ y ≤ 1200 cal.
Answer:
![\[=>x\geq 4\]](https://tex.z-dn.net/?f=%5C%5B%3D%3Ex%5Cgeq%204%5C%5D)
Step-by-step explanation:
Given inequality is ![\[−7\geq13−5x\]](https://tex.z-dn.net/?f=%5C%5B%E2%88%927%5Cgeq13%E2%88%925x%5C%5D)
Simplifying:
![\[5x\geq13+7\]](https://tex.z-dn.net/?f=%5C%5B5x%5Cgeq13%2B7%5C%5D)
![\[=>5x\geq20\]](https://tex.z-dn.net/?f=%5C%5B%3D%3E5x%5Cgeq20%5C%5D)
![\[=>x\geq \frac{20}{5}\]](https://tex.z-dn.net/?f=%5C%5B%3D%3Ex%5Cgeq%20%5Cfrac%7B20%7D%7B5%7D%5C%5D)
Hence the solution for the given inequality is represented by
This means that the original inequality will be true only for those values of x which are greater than or equal to 4.
Answer:
51 74
Step-by-step explanation:
x = smaller
x +23 = larger
added together (x + x+23) equal to 28 less than 3x = 3x-28
x + x+23 = 3x-28 subtract 2x from both sides of the equation
23 = x -28 add 28 to both sides
51 = x then the larger = 51 + 23 = 74
