Answer:
f(x)=x^2+9x-10
Step-by-step explanation:
<u>Standard Form of Quadratic Function</u>
The standard form of a quadratic function is:
where a,b, and c are constants.
The factored form of a quadratic equation is:
Where 
and 
are the roots or zeros of f, and a is constant.
We know the zeros of the function are 1 and -10. The function is:
Operating:
Joining like terms:
Since we are not given any more restrictions, we can choose the value of a=1, thus. the required function is:
What we know:
we know that there are <u>75</u> chicks in the hen house, we also know that in all there are 108 chicks
What we need to find:
we need to find out how many chicks were outside
Answer equation:
108 - 75 = 33
11154/52= 214 1/2 is the answer to this question
<span>Amount
of Rice (cups) Amount of Water (cups)
2 5
3 7.5
5 12.5
8 20
Let's find the ratio of rice and water:
5 / 2 = 2.5 => 2 * 5 = 5
7.5 / 3 = 2.5 => 3 * 2.5 = 7
12.5 / 5 = 2.5 => 5 * 2.5 = 12.5
20 / 8 = 2.5 => 8 * 2.5 = 20
So, as the ratio of water ot rice is constant, and the first variable is the amount of rice, you can calculate the amount of water given the amount of rice.
So, the amount of rice is independent value and the amount of water is dependent (it depends on the amount of rice).
The amount of rice is
the dependent value. FALSE
The amount of water is the dependent value.TRUE
The
amount of rice is the independent value. TRUE
The amount of water is the
independent value.</span>FALSE
A+c=100
3a+2c=275, from the first c=100-a making the 2nd equation become:
3a+2(100-a)=275 perform indicated multiplication on left side
3a+200-2a=275 combine like terms on left side
a+200=275, subtract 200 from both sides
a=75, and since c=100-a
c=100=75=25
So the answer is D. 25 children and 75 adults
Equation 1: a+c=100
Equation 2: 3a+2c=275
