First, set up what you know. Twice the sum of a number and seven means: 2x+7. Three times the difference of the number and 8 is 3(x-8).
Set both of them equal to each other and you'll get this:
2x+7 = 3(x-8)
Afterwards just follow through with algebra.
2x+7 = 3x - 24
2x + 31 = 3x
31 = 3x - 2x
31 = x
Afterwards check your work to see if it is correct.
2(31) + 7 = 3( 31 - 8 )
62 + 7 = 3(23)
69 = 69
The easiest way to do this is to break it down and translate it before solving. Start with twice a number, if you use n to represent eh number, you will have 2n. Then, add the 'less than' part. 'Five less than' means that five is being subtracted from the next part, which is 2n. Now you have 2n - 5. The last translation is simple, 'equal to 57' will complete the equation as 2n - 5 = 57.
If you want to solve the equation, use the Order of Operations.
2n - 5 = 57 Add 5 to both sides
2n = 62 Divide both sides by 2
n = 31
Answer:
the first table you provided would be the reflection of f(x)=sqrtx
Step-by-step explanation:
if you graph the sqrt-x then you will see the exact same graph as the fourth picture provided. this is a reflection across the y axis as the y values do not change but the x values become negative as the graph moves to the next quadrant
Answer:
The correct range is thus;
(-6,-12,-9)
Step-by-step explanation:
Here, we want to get the range given the domain
we simply make a substitution of the domain in the equation so as to get the range
So let us substitute the value of the domain one after the other
f(3) is 3-9 = -6
f(-3) = -3-9 = -12
f(0) = 0-9 = -9
