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defon
3 years ago
7

Find the y-coordinate of the vertex of the parabola whose equation is y=x^2-x+2

Mathematics
2 answers:
meriva3 years ago
8 0
To find a vertex of a parabola, use the equation -b / 2a to find the AOS. 

y = x^{2} -x + 2

\frac{-1}{2}

If the x - coordinate of the equation is -\frac{1}{2}, then plug that value of x in:

y =  \frac{1}{4} +  \frac{1}{2}  + 2

The y-coordinate is \frac{11}{4}
a_sh-v [17]3 years ago
3 0

Answer:

2 and 1/4

Step-by-step explanation:

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Raj used 4 3/4 cups of sugar for each batch of muffins. He made 3 1/2 batches. Raj used 16 5/8 cups of sugar altogether.
saul85 [17]

Answer:

It is true!

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
The recursive rule for a sequence is shown.an=an−1+9a1=21 what is the explicit rule for this sequence?
bixtya [17]

Answer:

Meaning of Explicit rule , is the general rule for a sequence.

The given sequence is defined as,

a_{n}=a_{n-1}+9a_{1}-21----(1)

Common Difference(d) of an airthmetic Sequence= N th term - (N-1) th term

                                 =a_{n}-a_{n-1}\\\\=a_{n-1}-a_{n-2}                                            

Equation 1 can be written as,

a_{n}-a_{n-1}=9 a_{1}-21\\\\ d =9a_{1}-21

General rule or explicit rule for this sequence is given as:

a_{n}=a_{1} +(n-1)d\\\\a_{n}=a_{1}+(n-1)(9a_{1}-21)\\\\a_{n}=a_{1}+9na_{1}-21 n-9a_{1}+21\\\\a_{n}=-8a_{1}+21+n(9a_{1}-21)

6 0
3 years ago
Identify the domain and range of the relation:<br> (-5,-3), (-2,1), (1,4), (2,5)
jonny [76]

Domain is the x-coordinate and range is the y - coordinate

\therefore \: domain =  \{ - 5, \:  - 2, \: 1, \: 2 \} \\  \\ \&\: range =  \{  - 3, \: 1, \: 4, \: 5\}

3 0
3 years ago
If f(x) varies directly with x and f(x) = 4 when x = 12, then what is the value of f(x) when x = 60?
ANTONII [103]
ANSWER

f(60)=3\times60=180

EXPLANATION
We were given that
f(x)
varies directly as
x.

We can write this mathematically as,

f(x) \propto \: x.

This implies that,

f(x) = kx
where k is the constant of variation.

f(4)=4k

This implies that,

4k=12

k = 3

The equation becomes

f(x)=3x

When x=60

f(60)=3\times60=180
6 0
3 years ago
Ava wants to practice ball for 2 1/2 hours each week on Monday she practices for one hour Tuesday 1/4 of an hour and Thursday 1/
Bogdan [553]

Answer: She would have to practice for 3/4 of an hour left to reach her goal

3 0
2 years ago
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