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vekshin1
3 years ago
5

X*2-6x-8 Find the vertex Find the X intercept Find the y intercept Graph

Mathematics
1 answer:
DIA [1.3K]3 years ago
3 0
X^2 -6x -8 is a parabola in ax^2 + bx + c form
The axis of symmetry is -b/2a = 3
The vertex is (3,f(3)) = (3,-17)
The x-intercept is f(x)= 0 where x=-1.123, 7.123
Graphing:  it opens upwards

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What is the volume of this rectangular prism?
kolezko [41]

Answer:

  • 105 in³.

Step-by-step explanation:

<u>Given numbers:</u>

  • 7, 3, and 5.

<u>Given equation:</u>

  • 7 * 3 * 5.

<u>Solve:</u>

  • 7 * 3
  • = 21 * 5
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Volume is 105 in³.

4 0
2 years ago
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Use long division to divide and use the result to factor the dividend completely.
dolphi86 [110]
The answer is:
Factor the expression

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The state of Utah has a sales tax of 4.75% and the maximum rate a consumer can pay for local sales tax is 8.35%. What is the ran
Nikolay [14]

Answer: Yes, Its range is At least 4.75% and at most 13.1%

Step-by-step explanation:

Let x represents rate of consume paid by consumer,

Then According to the question,

The maximum rate a consumer can pay for local sales tax is 8.35%

Since, the minimum tax rate can be 0,

⇒ 0 ≤ x ≤  8.35

⇒ 0 + 4.75 ≤ x + 4.75 ≤ 8.35 + 4.75

⇒ 4.75 ≤ x + 4.75 ≤ 13.1

Where, 4.75 is the sales tax,

Since, total tax = consumer tax + sales tax,

Hence, x + 4.75 represents the total tax paid by consumer,

⇒ 4.75 ≤ Total tax ≤ 13.1

⇒ The range of of possible sales tax rates that a consumer could pay on a taxable item in the state of Utah can be at least 4.75 % and can be at most 13.1 %

6 0
4 years ago
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3) Postcards: Marcie wants to make a box to hold her postcard collection from a piece of
klasskru [66]

The volume of the box is the amount of space in it.

The dimension of the postcard is:

\mathbf{Length = 10}

\mathbf{Width = 18}

Let x represents the length of the cut.

So, the dimension of the box is:

\mathbf{Length = 10 -2x}

\mathbf{Width = 18 -2x}

\mathbf{Height = x}

<u>(a) The function that represents the volume of the box</u>

This is calculated as:

\mathbf{V(x) = Length \times Width \times Height}

So, we have:

\mathbf{V(x) = (10 - 2x) \times (18 - 2x) \times x}

Expand

\mathbf{V(x) = 180x - 56x^2 + 4x^3}

Hence, the volume function is: \mathbf{V(x) = 180x - 56x^2 + 4x^3}

<u>(b) The dimension that maximizes the volume</u>

We have:

\mathbf{V(x) = 180x - 56x^2 + 4x^3}

Differentiate

\mathbf{V'(x) = 180- 112x + 12x^2}

Set to 0

\mathbf{180- 112x + 12x^2 = 0}

Using a calculator, we have:

\mathbf{x = 7.3,2.1}

The value x = 7.3 is greater than the dimension of the box.

So, we have:

\mathbf{x = 2.1}

Recall that:

\mathbf{Length = 10 -2x}

\mathbf{Width = 18 -2x}

\mathbf{Height = x}

So, we have:

\mathbf{Length = 10 -2 \times 2.1 = 5.8}

\mathbf{Width = 18 -2 \times 2.1 = 13.8}

\mathbf{Height = 2.1}

Hence, the dimension that maximizes the volume is 5.8 by 13.8 by 2.1

<u>(c) The maximum volume</u>

This is calculated as the product of the dimension of the box

So, we have:

\mathbf{Volume = 5.8 \times 13.8 \times 2.1}

\mathbf{Volume = 168.1}

Hence, the maximum volume of the box is 168.1 cubic inches

Read more about volumes at:

brainly.com/question/17056191

5 0
3 years ago
Please help me with math please please
Law Incorporation [45]

Answer:

subtract 42 - 7

Step-by-step explanation: u always solve the parenthesis first

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