Answer:
1. -4x^2 + 5x + 3
2. x^3 + 9x + 5
Step-by-step explanation:
hope this helps
50-(30.8+4.9)=14.3 kg.
You start with 50 then you need to subtract 30.8 and 4.9 from it. So you add them together and get 35.7. Then you subract 25.9 from 50 and get 14.3 kg.
Answer:
The third number is 180.
Step-by-step explanation:
Let the third number be 9x where x is an integer.
48 = 2*2*2*2*3
264 = 2*2*2*3*11
9x = 3*3*x
2*2*2*2*3*3*11*x = 7920y where y is an integer
1584x = 7920y
so x = 7920y / 1584= 5y.
Now the GCD is 12 so x must have 4 as one of its factors.
Also x is a multiple of 5 so it could be 20 then y would be 4.
If x = 20 then the third number is 9*20 = 180.
This checks out OK.
∆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.
Cost of the toothbrush and the toothpaste together = $1.10
Let us assume the cost of the toothpaste = x
Then
The cost of the toothbrush is = (x + 1) dollar
Then we can write the equation as
x + x+ 1 = 1.10
2x + 1 = 1.10
2x = 1.10 - 1
2x = 0.10
x = 0.10/2
= .05 dollars
So the cost of the toothpaste is 0.05 dollars.<span>I hope
the procedure is clear to you.</span>
