What is the first step in writing f(x) = 6x2 + 5 – 42x in vertex form?
2 answers:
Answer:
Option 3rd is correct
Write the function in standard form.
Step-by-step explanation:
The standard form of the quadratic equation is given by:
As per the statement:
Given the function:
We have to find the first step writing f(x) vertex form.
Firstly, write the given function in standard form
by definition we have;
Therefore, the first step writing f(x) vertex form is, Write the function in standard form.
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It is quadratic equation.
First we have find delta given by formula: delta=
where our
a=16
b=-24
c=7
so, delta=
Because delta is positive, there is real results.
Now we can use next formula x=
, to find roots (results, 2 results because its quadratic equation and delta is greater than 0)
x1=
x2=
First we have find delta given by formula: delta=
where our
a=16
b=-24
c=7
so, delta=
Because delta is positive, there is real results.
Now we can use next formula x=
, to find roots (results, 2 results because its quadratic equation and delta is greater than 0)
x1=
x2=
Answer:
a) 0.997 is the probability that the breaking strength is at least 772 newtons.
b) 0.974 is the probability that this material has a breaking strength of at least 772 but not more than 820
Step-by-step explanation:
We are given the following information in the question:
Mean, μ = 800 newtons
Standard Deviation, σ = 10 newtons
We are given that the distribution of breaking strength is a bell shaped distribution that is a normal distribution.
Formula:
a) P( breaking strength of at least 772 newtons)
Calculation the value from standard normal z table, we have,
0.997 is the probability that the breaking strength is at least 772 newtons.
b) P( breaking strength of at least 772 but not more than 820)
0.974 is the probability that this material has a breaking strength of at least 772 but not more than 820.
Since we know that they drove 210 and the amount of gas they used, put the miles over the amount of gas each person used
