Answer:
Step-by-step explanation:
Hello,
a and b are the zeros, we can say that
So we can say that
Now, we are looking for a polynomial where zeros are 2a+3b and 3a+2b
for instance we can write
and we can notice that
so
![(x-2a-3b)(x-3a-2b)=x^2-5(a+b)x+6[(a+b)2-2ab]+13ab\\= x^2-5(a+b)x+6(a+b)^2+ab](https://tex.z-dn.net/?f=%28x-2a-3b%29%28x-3a-2b%29%3Dx%5E2-5%28a%2Bb%29x%2B6%5B%28a%2Bb%292-2ab%5D%2B13ab%5C%5C%3D%20x%5E2-5%28a%2Bb%29x%2B6%28a%2Bb%29%5E2%2Bab)
it comes
multiply by 3
Answer:
15 nuts do not get found.
Step-by-step explanation:
Given that Of a squirrel's hidden nuts, for every 5 that get found, there are 3 that do not get found.
Total number of nuts squirrel had hidden = 40
Proportion of nuts not found to total = 3/(3+5) = 3/8
Hence out of 40, nuts not found =3/8(40) = 15 nuts.
15 nuts would not be found and 25 nuts would be found if squirrel had hidden in total 40 nuts.
This is because the proportion of found:unfound = 5:3
Hence 25:!5 =5:3 satisfies this
15 nuts are not found.
Answer:
<h2>
The width, x, of this parallelogram is 16 cm.</h2>
Step-by-step explanation:
In #14, the area of the parallelogram is 528 cm².
This area is also the value of the formula A = L·W:
A = 528 cm² = (33 cm)·W
To determine the width, W, of this parallelogram, we perform the following division:
W = (528 cm²) / (33 cm) = 16 cm
The width, x, of this parallelogram is 16 cm.
Answer:
15/121.
Step-by-step explanation:
Probability of picking a red = number of reds in the bag / total number of marbles in the bag
= 3 / (3 + 3 + 5)
= 3/11.
Probability of picking a blue = 5/11.
These 2 events are independent so we multiply probabilities, therefore the
Probability of (a red then a blue) = 3/11 * 5 /11
= 15/121.
The domain is the set of all x values which are defined (appear on the graph) of the function. In this system, all values from negative infinity to 0, but not including zero, and all values above zero, through positive infinity, are valid. We can write this in set builder notation as x: (-∞,0)∪(0,∞).
The range is the set of all y values which are defined in the function. Like the domain, the range of this function contains all value from negative infinity to positive infinity except zero. Same notation: y: : (-∞,0)∪(0,∞).
