Considering the equation of the parabola, the coefficients are given as follows: p = 5, q = -20, r = 19.
The graph is the one given at the side of the question.
<h3>What is the equation of a parabola given it’s vertex?</h3>
The equation of a quadratic function, of vertex (h,k), is given by:
y = a(x - h)² + k
In which a is the leading coefficient.
In this problem, the turning point is (2,-1), hence h = 2, k = -1, and the equation has the following format:
y = a(x - 2)² - 1
The curve passes through (3,4), that is, when x = 3, y = 4, and we use it to find a.
y = a(x - 2)² - 1
4 = a(3 - 2)² - 1
a = 5.
Hence the equation is:
y = 5(x - 2)² - 1
Placing it into standard form, we have that:
y = 5(x² - 4x + 4) - 1
y = 5x² - 20x + 19
Hence the coefficients are:
p = 5, q = -20, r = 19.
More can be learned about the equation of a parabola at brainly.com/question/17987697
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Answer:
Correct option: first one -> 45°
Step-by-step explanation:
FC is a diameter, so the arc FBC measures 180°.
If we have that FBC = FB + BC, then we can find the value of BC:
FB + BC = 180
135 + BC = 180
BC = 45°
If we call the center of the circle 'O, we have that the central angle EOF and the central angle BOC are vertically opposite angles, so EOF = BOC.
The central angles have the same measure that the arcs they are related, so we have that:
angle BOC = arc BC = 45°
angle BOC = angle EOF
angle EOF = arc EF = 45°
Correct option: first one
Answer:
√77 - 8 and 9 I'm pretty sure!! pls I'm sorry if it's wrong
Answer:
Charmaine earns $60.90 for 6h for mowing and 1h for babysitting.
Step-by-step explanation:
We must write the data problems.
Charmaine = $8.80/h mowing
Charmaine = $8.10/h babysitting
How much will Charmaine earn for 6 h mowing and 1 h babysitting?
1 h mowing ....................... $8.80
6 h mowing ....................... $x
x = 6 h mowing * $8.80
x = $52,8
To find the total earn of Charmaine, we have to gather the earns from mowing and babysitting.
$52,8 (from mowing) + $8.10 (from babysitting) = $60.90
Well, when it comes to graphing an inequality, and you need to know whether the line is solid or dashed, look at the inequality sign..... (i do not remember that exact terms) anyway, if it is JUST > or < then it is dashed, that is because you are not including that number, just any number greater than or less than it...
however, if it is Greater than or Equal to
or
less than or equal to
where these two are including that # by having the "or equal to", it will be solid for it is INCLUDING what ever # we are using...
for example
y > 3 will be dashed
where as y is greater than or equal to 3 will be solid since the y could be 3
i cant really explain this well... but i hope i made it somewhat clear