Answer:
x < 9
Step-by-step explanation:
Writing this entirely with symbols, we get:
-5(x - 1) > -40
We must solve for x.
Carrying out the multiplication, we get:
-5x + 5 > -40, or
-5x > -45
Dividing both sides by -5 isolates x:
x < 9
Note that when working with an inequality such as this one, dividing both sides by a negative number requires changing the direction of the inequality symbol.
H(1) = 4
h(1)= 5 x 1 -1
=5-1
=4
hope that helps <3
For this case we have the following expression:
(1 / x + 2) + (1 / x + 3) + (1 / X ^ 2 + 5 + 6)
Rewriting we have:
(1 / x + 2) + (1 / x + 3) + (1 / ((x + 2) * (x + 3)))
By doing common factor we have:
(1 / ((x + 2) * (x + 3))) * (x + 3 + x + 2 + 1)
Rewriting:
(1 / ((x + 2) * (x + 3))) * (2x + 6)
The sum is:
((2x + 6) / ((x + 2) * (x + 3)))
Answer:
((2x + 6) / ((x + 2) * (x + 3)))
F(b)-F(a)/b-a
A=10 B= -2
F(a) =4 F(b)=17
17-4/-2-10
13/-12
Answer:
<u>Part 1:</u>
For Platinum Gym:
90 + 30x
For Super Fit Gym:
200 + 20x
<u>Part 2:</u> $270
<u>Part 3:</u> $320
<u>Part 4:</u> 11 months
<u>Part 5:</u> See explanation below
Step-by-step explanation:
<u>Part 1:</u>
Let "x" be the number of months:
For Platinum Gym:
90 + 30x
For Super Fit Gym:
200 + 20x
<u>Part 2:</u>
We put x = 6 in platinum gym's equation and get our answer.
90 + 30x
90 + 30(6)
90 + 180
=$270
<u>Part 3:</u>
We put x = 6 into super fit's equation and get our answer.
200 + 20x
200 + 20(6)
200 + 120
=$320
<u>Part 4:</u>
To find the number of months for both gyms to cost same, we need to equate both equations and solve for x:
90 + 30x = 200 + 20x
10x = 110
x = 11
So 11 months
<u>Part 5:</u>
We know for 11 months, they will cost same. Let's check for 10 months and 12 months.
In 10 months:
Platinum = 90 + 30(10) = 390
Super Fit = 200 + 20(10) = 400
In 12 months:
Platinum = 90 + 30(12) = 450
Super Fit = 200 + 20(12) = 440
Thus, we can see that Platinum Gym is a better deal if you want to get membership for months less than 11 and Super Fit is a better deal if you want to get membership for months greater than 11.
