Answer:
y = -(x + 5)² + 4
Step-by-step explanation:
The roots are -3 and -7, so:
y = a (x + 3) (x + 7)
Distribute and complete the square:
y = a (x² + 10x + 21)
y = a (x² + 10x + 25 − 4)
y = a (x² + 10x + 25) − 4a
y = a (x + 5)² − 4a
The vertex is (-5, 4), so a = -1.
y = -(x + 5)² + 4
Now we look at the common denominator.
It is x(x + 2)(x - 2).
x cannot be zero, -2 or 2 because that would cause a zero in the denominator.
Since we get x = 8, and x = 8 does not have to be excluded from the domain, the answer is x = 8.
Answer: x = 8
First you need to get two similar terms to eliminate, I'll do y:
-3x + 2y = 10
-4x - 2y= -10
And then you minus
x = 20
Now you can substitute x in to one of the equations to find y:
-60 + 2y = 10
+ 60
2y = 70
÷ 2
y = 35
So your values are y = 35 and x = 20. Hope this helps!
The answer is 45.5. The image explains why.
'Percentage' is obtained by multiplying 2.45 by - 7%.
- 7% × 2.45 =
(- 7 ÷ 100) × 2.45 =
(- 7 × 2.45) ÷ 100 =
- 17.15 ÷ 100 =
- 0.1715 ≈
- 0.17;
<h2>How do we check the result?</h2>
If - 7% × 2.45 = - 0.1715 =>
Divide - 0.1715 by 2.45...
... And see if we get as a result: - 7%.
<h2>Note:</h2>
100/100 = 100 ÷ 100 = 100% = 1
Multiply a number by the fraction 100/100,
... and its value doesn't change.
n/100 = n%, any number.
