To find the root, replace y with 0
X^2-12x+35=0
A=1 B=-12 C=35
B^2-4ac=(-12)^2 -4(1)(35)
=144 -140
=4
x=(-b+/- square root of b^2 -4ac) /over/ (2a)
Plug in the numbers
x=-(-12) sqr (-12)^2 4(1)(35) / (2)(1)
X=12 +/-sqr 4 / 2
Positive outcome
x=12 + sqr 4 / 2
x=12+2/2
x=7 <— this one
Negative outcome
x=12-2i/2
x=6-i
Vertex: (6,-1)
Step-by-step explanation:
You can't expect to get exactly 2500 out of 5000 tosses more than a few times . You will come pretty close, but that's only good in horseshoes.
Of course I'm answering this on the basis of a computer language and not actually performinig this a million tmes, each part of a million consisting of 5000 tosses.
Simulations and not completely unbiased, but based on experience, 5000 is a very small number and getting 2500 more than a couple of times is unlikely
The expression is equivalent to 1.5 raised to the fifth power divided by 0.7 raised to the fourth power, all raised to the third power is; Option A; 1.5 raised to the fifteenth power divided by 0.7 raised to the twelfth power
<h3>How to solve exponents?</h3>
We want to find the expression that is equivalent to 1.5 raised to the fifth power divided by 0.7 raised to the fourth power, all raised to the third power.
The sentence above can be expressed as;
((1.5⁵)/(0.7⁴))³
This can be broken down into;
[1.5^(5 * 3)]/(0.7^(4 * 3))
1.5¹⁵/0.7¹²
Looking at the options, the only correct one is;
Option A; 1.5 raised to the fifteenth power divided by 0.7 raised to the twelfth power
Read more about Exponents at; brainly.com/question/11975096
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Answer:
F(t) = 10 +5t
Step-by-step explanation:
Income equals the initial fee plus the hours worked times the hourly rate
We know the initial fee = 10
hours = t
hourly rate =r
F(t) = 10 + r*t
We know a 5 hour job is 35 dollars
35 = 10 + r*5
Subtract 10 from each side
35-10 = 10-10 +5r
25 = 5r
Divide by 5
25/5 = 5r/5
5 =r
The hourly rate is 5
F(t) = 10 +5t
I got you hun!
27= 3x is the equation you will need
27 is the total the coach needs making it the total. Since each pack comes with 3 you will mutiply the amount of pack, or x, by 3.
X=9
we know this because if you divide 3 by 27 to get it on the other side we get 9. This means the coach needs to buy 9 packs of baseballs for the team.
27=3(9)
Hope this helps!
