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DerKrebs [107]
3 years ago
5

Which function has a vertex at (2, –9)?

Mathematics
2 answers:
Reika [66]3 years ago
8 0

Answer:

It's the third option! Hope this helps! :D Have a good rest of your day!

Ivahew [28]3 years ago
3 0
The solutions or roots so-called are really just the x-intercepts, and for a quadratic equation, the vertex is found right half-way between those x-intercepts.

we can get the intercepts by zeroing out "y" or f(x), so let's take a peek at one of those,

\bf \stackrel{f(x)}{0}=(x-5)(x+1)
\\\\\\
0=x-5\implies \boxed{5=x}\qquad \qquad \qquad \qquad 0=x+1\implies \boxed{-1=x}

so, the x-intercepts or solutions are at 5 and -1, let's take a peek what's the halfway point.

-1----0----1----  2  ----3-----4------5

well then, now we know the vertex is at x = 2, but, what's the y-coordinate of it anyway?

y = (x - 5)(x + 1)

y = (2 - 5)(2 + 1)

y = (-3)(3)

y = -9
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A recursive formula for the sequence 18,9,4.5,... is
dybincka [34]

Answer:

A1 = 18

A(n) = A (n-1) -2

Step-by-step explanation:

N represents the number in a sequence and the difference in the sequence is -2 since each time the number is listed in the sequence it is divide by 2.

3 0
1 year ago
Find an angle in each quadrant with a common reference angle with 77°, from 0°≤θ<360°
mr Goodwill [35]

Answer:

Q1: 77°, Q2: 103°, Q3: 257°, Q4: 283°

Step-by-step explanation:

Note: Q1 = Quadrant 1

Q1: 77°

Q2: 180° - 77° = 103°

Q3: 180° + 77° = 257°

Q4: 360° - 77° = 283°

8 0
3 years ago
Read 2 more answers
If it is April, then there are 30 days in the month.
dimaraw [331]

Answer:

C.

Step-by-step explanation:

It does not have to be April if there are 30 days. If its not April, it can still have 30 days. April does have 30 days.

6 0
3 years ago
While visiting Wallawulla State​ Park, Joe approximated the angle of elevation to the top of a mound to be 40 degrees . After wa
katen-ka-za [31]

Answer:

Height of mound = 794 ft

Step-by-step explanation:

To illustrate the angle of elevation and distance, i have drawn it and attached below.

Now, from my diagram;

h = the height of the mound

At his first point of his trip to the foot of the mound, the angle of elevation is 40°, while the horizontal distance to the foot of the mound is "X"

So, by triangle definition,

tan(40°) = h/x

And so;

h = x tan40

h = 0.8391x  - - - - (eq 1)

At his second point of the trip to the foot of the mound, Joe is now,

"(x - 450) ft" from the foot of the mound.

Thus, his angle of elevation is 40 + 18 = 58°.

So, by triangle definition,

tan(58°) = h/(x - 450)

h = (x - 450)•(tan(58°))

h = 1.6003(x - 450)

h = 1.6003x - 720.135   - - - - -(eq2)

To get the height(h) of the mound, let's equate (eq1) to (eq2).

0.8391x = 1.6003x - 720.135

1.6003x - 0.8391x = 720.135

0.7612x = 720.135

x = 720.135/0.7612

x = 946.0523 ft

Let's put this value for x in eq (1);

h = 0.8391 x 946.0523 = 793.83 ft ≈ 794ft

4 0
3 years ago
A small companys net income for the first six months of the year was $76,500 and for the last six months it was $100,000. What i
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