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slavikrds [6]
3 years ago
7

Describe the key features of the graph of the quadratic function f(x) = x2 - 8x - 20

Mathematics
1 answer:
Zolol [24]3 years ago
7 0
If f(x)=x^2-8x-20 then

dy/dx=2x-8 and d2y/dx2=2

A) Since acceleration is a constant positive the parabola opens upward.

B) Since acceleration is a constant positive the parabola will have a vertex at an absolute minimum

C)  The vertex will occur when dy/dx=0, 2x-8=0, 2x=8, x=4

So the axis of symmetry is the vertical line x=4.

The vertex is y(4)=-36, corresponding to the vertex point (4,-36)

The y-intercept occurs when x=0, y(0)=-20, so the y-intercept is the point (0,-20)
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Camden accepted a new job at a company with a contract guaranteeing annual raises. Camden's salary after working for nn years ca
kaheart [24]

Answer:

2000

Step-by-step explanation:

Given the equation :

S=2000n+55000

Comparing the equation given to the standard linear equation formula :

y = mx + c

Where ; c = intercept ; m = slope ; y = dependent variable and x = independent variable

From The comparison, the slope of the equation given = 2000.

According to the context, the slope means that Camden salary will increase by 2000 each year.

8 0
3 years ago
Sam, Jessie, and Emma go out for burgers. The total cost is $21.39. How much will each person pay if they split the cost equally
Nadusha1986 [10]

Answer:

$7.13

Step-by-step explanation:

There is 3 people and they need to SPLIT the cost. Split means divide in this situation. So, divide 21.39 by 3 and you should get 7.13.

4 0
3 years ago
Part A: solve -mk - 120 > 95 for m. Show your work.
lara31 [8.8K]

Does MK mean Mortal Kombat???

6 0
3 years ago
Which set of ordered pairs represents a function?
mel-nik [20]
The one that doesn't have an "x" repeated, that is an X-REPEAT
notice, the pair is just an x,y  pair.. .so if the "x" is repeated, is NOT a function

let's see

\bf \{(2, -2), (\boxed{1}, 5), (-2, 2), (\boxed{1}, -3), (8, -1)\}\impliedby \textit{has an "x" rep}eated\\\\
\{(3, -1), (7, 1), (-6, -1), (9, 1), (2, -1)\}\\\\
\{(6, 8), (5, 2), (\boxed{-2}, -5), (1, -3), (\boxed{-2}, 9)\}\impliedby \textit{has an "x" rep}eated\\\\
\{(\boxed{-3}, 1), (6, 3), (\boxed{-3}, 2), (\boxed{-3}, -3), (1, -1)\}\impliedby \textit{an "x" rep}eated
6 0
3 years ago
Read 2 more answers
When solving the linear equation, ax + b = 0 where a≠ 0, what is the answer of the equation x = -b/a referred as?
Oksi-84 [34.3K]

In a system of equations ax + b = 0, a≠ 0, the equation x = -b/a is referred as a non-trivial solution.

<h3>What is a system of equations?</h3>

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

The system Ax + b = 0 has the following solutions:

  • The zeros, which is the trivial solution.
  • x = -b/a, which is the non-trivial solution.

More can be learned about a system of equations at brainly.com/question/24342899

#SPJ1

7 0
2 years ago
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