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2 years ago

The axis of symmetry and vertex coordinates?

Mathematics

1 answer:

frutty [35]2 years ago

5 0

I have attached the graph. Your axis is x=-4 and the vertex is (-4,-30)

Hope that helps

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consider the graph of the following qudratic equation. y= -x^2 -10x + 24.What is the y-value of the vertex?

3241004551 [841]

Given that the quadratic equation is $y=-x^{2}-10 x+24$

We need to determine the y - value of the vertex.

The x - value of the vertex:

The x - value of the vertex can be determined using the formula,

$x=-\frac{b}{2 a}$

where $a=-1, b=-10, c=24$

Substituting these values, we get;

$x=-\frac{(-10)}{2(-1)}$

Simplifying the terms, we get;

$x=-\frac{-10}{-2}$

$x=-5$

Thus, the x - value of the vertex is -5.

The y - value of the vertex:

The y - value of the vertex can be determined by substituting the x - value of the vertex ( x = -5) in the equation $y=-x^{2}-10 x+24$

Thus, we get;

$y=-(-5)^{2}-10(-5)+24$

Simplifying the values, we have;

$y=-25+50+24$

$y=49$

Thus, the y - value of the vertex is 49.

8 0

2 years ago

On the graph of f(x)=sinx and the interval [2π,4π), for what value of x does f(x) achieve a minimum?

lawyer [7]

Answer:

Step-by-step explanation:

The minimum value of sinx is -1 when x = 3π/2, 7π/2, ...

In [2π, 4π), x = 7π/2

8 0

2 years ago

Use the properties of exponents to determine the value of aa for the equation:

Phantasy [73]

Answer: a = -2/3

Step-by-step explanation:

Let's start by multiplying both sides by $x$ to simplify:

$4^{1/3} = x^a \times x$

$4^{1/3} = \underbrace{x \times x \times x \times \cdots \times x}_{a\ \textrm{times}} \times \,x$

$4^{1/3} = \underbrace{x \times x \times x \times \cdots \times x \times x}_{a+1\ \textrm{times}}$

$4^{1/3} = x^{a+1}$

Looking only at the exponents, it seems like $1/3 = a+1$ , so $a = \boxed{-2/3}$ .

5 0

2 years ago

Need solved fast! I can’t do it!!

sergeinik [125]

Answer:

Please read below.

Step-by-step explanation:

The instructions were followed, horizontal or vertical path and never diagonal:

75 76 81 66 65 14 13 8 7

74 77 80 67 64 15 12 9 6

73 78 79 68 63 16 11 10 5

72 71 70 69 62 17 2 3 4

55 56 57 58 61 18 1 22 23

54 53 52 59 60 19 20 21 24

45 46 51 50 37 36 31 30 25

44 47 48 49 38 35 32 29 26

43 42 41 40 39 34 33 28 27

6 0

2 years ago

Problem 11-3 blair & rosen, inc. (b&r) is a brokerage firm that specializes in investment portfolios designed to meet th

Artyom0805 [142]

Linear programming which shows the best investment strategy for the client is Max Z=0.12I +0.09B and subject to constraints are :I+ B<=25000,

0.005 I +0.004B<=250.

Given maximum investment client can make is $55000, annual return= 9%, The investment advisor requires that at most $25,000 of the client's funds should be invested in the internet fund. The internet fund, which is the more risky of the two investment alternatives, has a risk rating of 5 per thousand dollars invested. the blue chip fund has a risk rating of 4 per thousand dollars invested.

We have to make a linear programming problem.

Let

I= Internet fund investment in thousands.

B=Blue chip fund investment in thousands.

Objective function:

Max Z=0.12I+0.09B

subject to following constraints:

Investment amount: I+ B<=25000

Risk Rating: 5/100* I+4/100*B<=250 or 0.005 I +0.004B<=250

I,B>=0.

Hence the objective function is Max Z=0.12 I+ 0.09 B.

Learn more about LPP at brainly.com/question/25828237

#SPJ4

3 0

1 year ago