The answer would be 13/15
X + 4x = 75
Combine like terms:
5x = 75
Divide by 5 on each side of the equal sign:
x = 15
Let us take 'a' in the place of 'y' so the equation becomes
(y+x) (ax+b)
Step-by-step explanation:
<u>Step 1:</u>
(a + x) (ax + b)
<u>Step 2: Proof</u>
Checking polynomial identity.
(ax+b )(x+a) = FOIL
(ax+b)(x+a)
ax^2+a^2x is the First Term in the FOIL
ax^2 + a^2x + bx + ab
(ax+b)(x+a)+bx+ab is the Second Term in the FOIL
Add both expressions together from First and Second Term
= ax^2 + a^2x + bx + ab
<u>Step 3: Proof
</u>
(ax+b)(x+a) = ax^2 + a^2x + bx + ab
Identity is Found
.
Trying with numbers now
(ax+b)(x+a) = ax^2 + a^2x + bx + ab
((2*5)+8)(5+2) =(2*5^2)+(2^2*5)+(8*5)+(2*8)
((10)+8)(7) =(2*25)+(4*5)+(40)+(16)
(18)(7) =(50)+(20)+(56)
126 =126
Answer:
0.04%
Step-by-step explanation:
If there are 1000 penguins per square miles, <em>the total number of penguins in a 10 square miles will be 1000*10 = 10,000 penguins/10square miles</em>
Since a polar bear has a territory of 10 square miles, and<em> can only eat four penguins within the 10square miles;</em>
<em />
Percentage of penguins that the polar bear can eat will be expressed as;
number of penguin eaten per 10square miles/total number of penguin per 10square miles * 100
Percentage of penguins that the polar bear can eat = 4/10,000 * 100%
Percentage of penguins that the polar bear can eat = 4/100%
<em>Hence, the percentage of penguins that the polar bear can eat in the 10 square miles is 0.04%</em>
