Answer:
A
Step-by-step explanation:
In the inequality, you want to simplify it to get x on one side, and the numeric values on the other.
So, moving 9 to the other side, you get, 8x<-32
Then, you can divide by 8 on both sides to get x alone.
You get, x<-4.
From this, we can see that it should be an open dot at -4, and pointing to the left.
So, the correct number line is A.
Answer:
You can choose which equation below suits your taste but I recommend the 2n + 1 = -33.
Step-by-step explanation:
Answer: Cannot be done
Step-by-step explanation:
This is impossible as there is no previous information and we don’t have a formula.
If we take the number of Zebras to be x and that of peacocks to be y
Then x + y = 14
A zebra has 4 legs while a peacock has 2 legs,
Therefore the total number of legs will be 4x + 2y which is equal to 36 .
Therefore, we have two equations
x + y = 14
4x + 2y = 36 solving them simultaneously using elimination
4x +2y = 36
2x + 2y = 28 ( multiplying the first equation by 2 to eliminate y)
2x = 8 ( subtracting the equations)
x = 4
y = 14 -(4)
= 10
Therefore, there are 4 zebras and 10 peacocks in the zoo
∆PQR and ∆SQT are similar, so corresponding sides occur in fixed ratios with one another. This means
SQ / PQ = ST / PR
Solve for x :
8 / ((x + 5) + 8) = (x - 9) / 21
8 / (x + 13) = (x - 9) / 21
168 = (x - 9) (x + 13)
168 = x² + 4x - 117
x² + 4x - 285 = 0
(x + 19) (x - 15) = 0
⇒ x = -19 or x = 15
But x can't be smaller than 9, otherwise ST = x - 9 would be a negative length. So x = 15.
