Answer: r = 11
Step-by-step explanation:
We know that the point (-2, r) lies on the graph of:
2*x + y = 7.
Then, if we that point is on the graph of the equation, we can replace the values and we will have:
2*(-2) + r = 7
and now we solve this for r-
-4 + r = 7
r = 7 + 4 = 11
r = 11
Replace each of the x values given to see if they give 0.
0=(2/3)³+(2/3)²-1
0=(8/27)+(4/9)-1
0≠-0.259
0=(1)³+(1)²-1
0≠1
Therefore, you can see that the solution would have to be between 2/3 and 1.
Hope I helped :)
Answer:
18, 19, 20, 21
Step-by-step explanation:
Just like any of these problems, we should start by forming an equation for us to get a reference and plug in. We'll be using x as our variables.
As we have four consecutive integers (and not multiples) we can assume that the integers will be x, x+1, x+2, and x+3.
The sum of the two largest integers we have equals: n+2 + n+3 = 2n+5
and three times the sum of the two smallest = 3(n + n+1) = 6n+3
and the sum of t he two largest subtracted from three times the sum of the two smallest = (6n+3) - (2n+5) = 4n-2
4n-2=70
4n=68
n = 18.
n = 18, n+1 = 19, n+2 = 20, n+3 = 21
Answer:
Less than 4.70 GB
Step-by-step explanation:
Let x = # of GB that Janelys uses that month. Since Janelys wants to pay less than $70 given that the flat rate for subscribing to that company's data per month is $46.50 and each GB costs $5 to use, the inequality can be written as:
5x + 46.50 < 70
5x < 23.50 Subtract $45.60 from each side.
x < 4.70 GB Divide 5 from each side.
Thus, (if it is whole numbers) Janelys can use 4 GB while staying within her budget or (if decimals are fine) anything less than 4.70 GB. Hope this helped! :D
