Hello from MrBillDoesMath!
Answer:
4( x + 1.5)^2 + 0
Discussion:
4x^2 + 12x + 9 = => factor "4" from first 2 terms
4 (x^2 + 3x) + 9 = => complete the square, add\subtract (1.5)^2
4(x^2 + 3x + (1.5)^2) - 4 (1.5)^2 + 9 =
4 ( x + 1.5)^2 + ( 9 - 4(1.5)^2) = => as (1.5)^2 = 2.25
4 ( x + 1.5)^2 + ( 9 - 4(2.25)) = => as 4 ( 2.25) = 9
4 ( x+ 1.5)^2 + 0
Thank you,
MrB
Answer:
See below
Step-by-step explanation:
We want to prove that

Taking the RHS, note

Remember that

Therefore,

Once

Then,

Hence, it is proved
The have ordered 36 blue T-shirts.
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How I got it --- So, we take away 16 from 58. You get 42.
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So, from then, you know 36 is 6 times as many as 6, right? ( Because 6 x 6 = 36)
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So, then, you have ordered 36 blue shirts and 6 white shirts, because 36 + 6 =42.
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Glad I could help, and good luck!
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ANSWER
Find out the how long will the Yellow balloon be higher than the orange balloon.
To proof
Now the diagram is given below
As given
A yellow hot-air balloon is 100 feet off the ground and rising at rate of 8 feet per second.
i.e height of the yellow baloon off the ground = 100 feet
rising at rate = 8 feet per second.
.An orange hot-air balloon is 160 feet off the ground and rising at a rate of 5 feet per second.
i.e height of the orange baloon off the ground = 160 feet
rising at rate = 5feet per second.
Formula

Relative velocity = rising rate of yellow balloon - rising rate of orange balloon
= 8 -5
= 3 feet per second
Relative distance = height of the yellow baloon off the ground - height of the orange baloon off the ground
= 160 -100
= 60 feet
put in the formula

= 20 second
after 20 second Yellow balloon will be higher than the orange balloon.
Hence proved
Answer:
0.09375 tons
Step-by-step explanation:
In this problem, it is given that Samuel has 3/4 tons of mulch i.e. 0.75 tons of mulch.
Again it is given that Samuel has to spread equally this amount of mulch in 8 square yards of the plot.
Since the mulch is spread uniformly, then we can say that in each square yard of the plot (0.75/8) = 0.09375 tons of mulch is been spread.
Therefore, 0.09375 tons of mulch will be spread in each square yard. (Answer)