Answer:
a=55
Step-by-step explanation:
This question is asking for you to find the whole (a), given a part (11). This can be done through multiplication. 20% is 1/5 of 100%. This means to find the whole number, you should multiply the part by 5. 11*5=55. So, a must equal 55.
We can check this answer by working backward. Do this by finding 20% of 55, and checking to see if it is 11. To find a percentage of a number, multiply that number by the percent in decimal form. So, 20% of 55 is equal to 0.2*55, which is 11. Therefore, the answer is correct.
The inverse of the given function is y = √5x + 7/2 - 3
<h3>Inverse of a function</h3>
Given the function expressed below;
5y + 4 = (x+3)² +1/2
5y = (x+3)² - 7/2
y = 1/5(x+3)² - 7/10
Replace y as x
x = 1/5(y+3)² - 7/10
Make y the subject of the formula
5x = (y+3)²- 7/2
(y+3)² = 5x + 7/2
y+3 = √5x + 7/2
y = √5x + 7/2 - 3
Hence the inverse of the given function is y = √5x + 7/2 - 3
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Answer:
z = 8
Step-by-step explanation:
All angles inside a triangle add up to 180 so:
90 + 40 + 5z + 10 = 180
5z + 140 = 180
5z = 40
z = 8
Difference of 2 perfec squares is
(a^2)-(b^2)
if the exponents are both even and the coeficient (the number in front) are perfect squares, then it is difference t 2 perfect squares
first one
8 is not perfect square
2nd one
(4e^4)^2-(9g^2)^2
third
25 is odd, so it cannot be split up into 2 nice numbers
4th
(11m^9)^2-(3n^5)^2
The value of given expression is: 3
<h3>What is exponents and powers?</h3>
Exponent refers to the number of times a number is used in a multiplication. Power can be defined as a number being multiplied by itself a specific number of times.
9*(15)³/45 * 
/9
= 3²* 3³*5³/5² * 3² * 3² * 5
= 
= 3*1
=3
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