Answer:
(a) 30 & younger (no facial hair are 1,2,4,9. with facial hair are 10,12,14)
older than 30 (no facial hair are 3,4,8 . with facial hair are 6,7,11,13,15)
Answer:
x = √(28), or x = 5.292
Step-by-step explanation:
First you distribute the square to the values inside of the parentheses. so it ends up looking like this
5(x^2 - 25) - 9 = 6
add 9 to both sides
so its 5(x^2 - 25) = 15
Then distribute the multiplication of 5 to the contents within the parentheses
so it would be 5x^2 - 125 = 15
add 125 to both sides
you get 5x^2 = 140
divide by 5 on both sides
you get x^2=28
then, take the square root of both sides to reverse the square
√(x^2)=√(28)
and in the end you get x=5.292
but √(28) will probably be fine if your teacher doesn't want u to solve for that kind of stuff.
Answer:
14 km
Step-by-step explanation:
<u>1) look at the information you are given:</u>
140 km total (<em>to and from work</em>)
Note that this number includes both the distance to work and the distance from work.
He works 5 days a week.
<u>2)Figure out the distance he travels within one day</u>
This means that you should take the 140 km and divide it by 5 in order to find out the amount of km he travels each day.
<h2>
140 km / 5 days = 28 km</h2>
28 km is the amount of KM he travels each DAY.
<u>3) Figure out the distance from work to home </u>
From this point, it is important to note the question is asking for <u>the distance his work is from home.</u>
Each day, he must travel 2 times: he must go to work and go from work to home, which are both the same distance.
This means that in order to get only the distance from work to home, you must divide by 2.
<h2>
28 km / 2 = 14 km</h2>
Answer:( 2 xy ) y - ( 2 xy ) z = 2 xy ( ) . 5. ... X + ?. 9. 32 ad + 20 ac . 15. 27 2- 30 t . 4. ab - b . 10. 48 g + 6 r . 16. 32 ax 5. ... 18 bc +45 ab . ... 1 that the rectangle of sides x + y and x + y , or the square of side x + y , у is the ... Find ( x - y ) 2 by multiplication .
or
2 xy ) y - ( 2 xy ) z = 2 xy ( ) . 5. ... X + ?. 9. 32 ad + 20 ac . 15. 27 2- 30 t . 4. ab - b . 10. 48 g + 6 r . 16. 32 ax 5. ... 18 bc +45 ab . ... 1 that the rectangle of sides x + y and x + y , or the square of side x + y , у is the ... Find ( x - y ) 2 by multiplication .
Step-by-step explanation:
Principle: Law of Exponents - Combination of product to a power & power to a power. The first is when raising a product of two integers to a power, the power is distributed to each factor. In equation it is,
(xy)^a = (x^a)(y^a)
The latter is when raising the base with a power to a power, the base will remain the same and the powers will be multiplied. In equation it is,
(x^a)(x^b) = x^ab
Check:
f(x) = 5*(16)^.33x = 5*(8*2)^0.33x = 5*(8^0.33x)(2^0.33x) = 5*(2^x)*(2^0.33x) = 5*(2^1.33x)
f(x) = 2.3*(8^0.5x) = 2.3*(4*2)^0.5x = 2.3*(2^x)(2^0.5x) = 2.3*(2^1.5x)
f(x) = 81^0.25x = 3^x
f(x) = 0.75*(9*3)^0.5x = 0.75*(3^x)*(3^0.5x) = 0.75*3^1.5x
f(x) = 24^0.33x = (8*3)^0.33x = (2^x)*(3^0.33x)
Therefore, the answer is third equation.
<em>ANSWER: f(x) = 81^0.25x = 3^x</em>
