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3 years ago

HELP ME!!!!!!!!!!!!!!!!!!!!!!!!

Mathematics

1 answer:

lubasha [3.4K]3 years ago

8 0

Answer:

1x a other b

Step-by-step explanation:

simple

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Use the function f(x) to answer the questions: f(x) = 2x2 − x − 10

Sidana [21]

Answer:

A. x = -2, 5/2

B. Minimum

Vertex: (1/4, -81/8)

C. Draw a concave up graph connecting the x-intercepts, vertex and the y-intercept

Step-by-step explanation:

f(x) = 2x² - x - 10

2x² - x - 10 = 0

2x² - 5x + 4x - 10 = 0

x(2x - 5) + 2(2x - 5) = 0

(x + 2)(2x - 5) = 0

x = -2, 5/2

Vertex: (h,k)

h = midpoint of the x-intercepts (due to symmetry)

h = (-2 + 5/2) = 1/4

k = f(1/4)

k = 2(1/4)² - 1/4 - 10 = -81/8

Vertex: (1/4, -81/8)

y-intercept: when x = 0

2(0)² - 0 - 10 = -10

Draw a concave up quadratic connecting thr following points:

(-2,0)

(0,-10)

(1/4,-81/4)

(5/2,0)

6 0

4 years ago

The campsite is square in shape and has a length of 65 metres.<br> What is the area of the campsite?

Dmitrij [34]

Thanks for asking a question!

Area of square = length*length

Applying this:

65*65
4225 square metres

Hope this helped!

7 0

3 years ago

What is 5 degrees less than 4 degrees celsius

ruslelena [56]

Negative one degree celsius

4 0

4 years ago

Read 2 more answers

Which value must be added to the expression x2 + 16x to make it a perfect-square trinomial?

sdas [7]

<span>Before getting to the actual answer, one must be aware of the way the answer is found. The one and only thing that needs to be done in this case is finding the half of 16 and then squaring it. This obviously gives the result as 64. he correct option among all the options that are given in the question is the third option or option "C". </span>

8 0

3 years ago

Read 2 more answers

Carlo and Anita make mailboxes and toys in their wood shop. Each mailbox requires 1 hour of work from Carlo and 4 hours from Ani

Katena32 [7]

Answer:

$80

Step-by-step explanation:

Let the number of hours required to make a mailbox = x

Let the number of hours required to make a toy = y

Each mailbox requires 1 hour of work from Carlo and 4 hours from Anita.

Each toy requires 1 hour of work from Carlo and 1 hour from Anita.

The table below summarizes the information for ease of understanding.

$\left|\begin{array}{c|c|c|c}&$Mailbox(x)&$Toy(y)&$Maximum Number of Hours\\--&--&--&------------\\$Carlo&1&1&12\\$Anita&4&1&24\end{array}\right|$

We have the constraints:

$x+y \leq 12\\4x+y \leq 24\\x \geq 0\\y \geq 0$

Each mailbox sells for $10 and each toy sells for $5.

Therefore, Revenue, R(x,y)=10x+5y

The given problem is to:

Maximize, R(x,y)=10x+5y

Subject to the constraints

$x+y \leq 12\\4x+y \leq 24\\x \geq 0\\y \geq 0$

The graph is plotted and attached below.

From the graph, the feasible region are:

(0,0), (6,0), (4,8) and (0,12)

At (6,0), 10x+5y=10(6)+5(0)=60

At (4,8), 10(4)+5(8)=80

At (0,12), 10(0)+5(12)=60

The maximum revenue occurs when they use 4 hours on mailboxes and 8 hours on toys.

The maximum possible revenue is $80.

5 0

4 years ago