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3 years ago

Using complete sentences explain which function has the greatest y intercept f(x) = -6x-3 h(x)= 2 cos (x+ pi)-1

Mathematics

1 answer:

V125BC [204]3 years ago

3 0

Answer:

They have the same y-intercept.

Step-by-step explanation:

The y-intercept occurs when x = 0 so for f(x):

y-intercept = f(0) = -6(0) - 3 = -3.

For h(x):

y-intercept = h(0) = 2 cos(0 + pi) - 1

= 2 cos pi - 1

= 2 *-1 - 1 = -3.

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Two students, Zachary and Anthony, line up one behind the other. How many different ways can they stand in line?

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2

zach after anthony
or
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3 years ago

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The license plates on all karts in MarioLand contain three numbers followed by three letters. If you know that the MarioLand num

iogann1982 [59]

Answer:

It can be created 1575 license plated with at least one three-piece palindrome.

Step-by-step explanation:

If a license plates has at least one three-piece palindrome, we have the following cases:

1. The license plate just has a palindrome in the three numbers: The number license plates for this case can be calculated using the rule of multiplication as:

5 * 5 * 1 * 3 * 3 * 2 = 450

1st Number 2nd 3rd 1st Letter 2nd 3rd

For have a palindrome in the numbers, the first and the 3rd number need to be the same. So, we have 5 digits for the first and the 2nd Number and one digit for the 3rd Number.

On the other hand, if the palindrome is just in the numbers, the 3rd letter need to be different from the 1st. So we have 3 options for the 1st and the 2nd letter and 2 options for the 3rd letter.

At the same way, we can calculated the number of license plates for the other cases:

2. The license plate just has a palindrome in the three letters:

5 * 5 * 4 * 3 * 3 * 1 = 900

1st Number 2nd 3rd 1st Letter 2nd 3rd

3. The license plate has a palindrome in the three numbers and in the letters:

5 * 5 * 1 * 3 * 3 * 1 = 225

1st Number 2nd 3rd 1st Letter 2nd 3rd

Then, It can be created 1575 license plates with at least one three-piece palindrome and it is calculated as:

450 + 900 + 225 = 1575

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3 years ago

Company ABC produces widgets. They have found that the cost, c (x), of making x widgets is a quadratic function in terms of x. T

Dahasolnce [82]

The given function is a quadratic equation. Any quadratic equation can be written in the form :

$C(x)=ax^{2}+bx+c$

The given points can be taken as (2,23) ,(4,55) and(10,247)

We form three equations with the given points

For point (2,23 ) the equation is

23 = 4a + 2b + c

For point (4,55) the equation is

55 = 16a + 4b + c

For point (10,247) the equation is:

247 = 100a+10b+c.

Solving the three equations for a,b,c we have :

32 = 12a + 2b

16 = 6a + b

and,

192 = 84 a + 6b

32 = 14a + b

Solving for a,b,c we have:

a=2 b=4 c=7

The quadratic equation is c(x)= $2x^{2}+4x+7.$

When x=8

c(x)= $2(8)^{2}+4(8)+7= 167.$ ]

Option C. $167 is the right answer.

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3 years ago

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bagirrra123 [75]

Answer:

m = $\frac{-1}{2}$

Step-by-step explanation:

To find the slope of most lines, we should rearrange the equation into the slope-intercept form or y = mx + b.

So,

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ahrayia [7]

Answer:

62.5 %

Step-by-step explanation:

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