Answer:
Step-by-step explanation:
Let height of a banner be 
, then we know that this is 
of the length 
of the banner; so we have
.
Now we can rearrange this equation to solve for the length of the banner given it's height:
So there we have it!
If the banner is 5 ft tall, then it's length will be:
Answer:
f(x) = 8 is a constant function.
Step-by-step explanation:
<u>Constant Function</u>: A function is said to be constant if its value is independent of any variable.
here, f(x) = K ; for some arbitrary constant K for all x.
Here, the given function family is f(x) = 8.
So for all the values of x , the function is independent of x.
Hence, f(x) is a constant function.
Using factorization method;
x²+13x+40=0
x²+13+40
Find two numbers that you can add together to give the co-efficient of variable x. (I.e 13 for this question). Also, you'll find two numbers that you can multiply with each other to give you the whole number as an answer. (I.e 40 in this question). The two numbers must be the same (i.e the two numbers that will be added to give the co-efficient of x and the two numbers that will be multiplied to give the whole number must be the same two).
The two numbers are +5 and +8
The equation will therefore be = x²+5x+8x+40
You'll then factorize (I.e use a common factor of both values to bracket them)
x(x+5)+8(x+5)
(x+8)(x+5)
x is therefore (x+8=0) or (x+5=0)
x=(x=0-8) or (x=0-5)
x= -8 or x= -5
So, multiply the terms with equal exponents by multiplying their bases.
So, (2^7 × 4^7)^3 becomes [(2×4)^7]^3
Then, just multiply the numbers.
(8^7)^3
Then, simplify the expression by multiplying the exponents. So, the answer should be 8^21 or eight to the 21st power.
First take the square root of 25, then take the square root of 49.
It is as easy as separating the square root to apply to both terms separately instead of combined.
sqrt(25)/sqrt(49)
5/7
