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Harlamova29_29 [7]
2 years ago
8

Which of the following best describes the slope of the line below?

Mathematics
2 answers:
Nonamiya [84]2 years ago
4 0

Answer:

A. Negative

Step-by-step explanation:

This line cannot have a slope of zero or undefined because it's a linear negative line. This line is not positive because it's not heading to the right, it's heading to the left which is the negative side, the slope Rise/Run goes up 1 and left 1, which means the slope for this equation is possibly -1x.

Nikitich [7]2 years ago
3 0

Answer:

Negative

Step-by-step explanation:

We can see that as x increases, y decreases. Therefore, the change in y over the change in x is negative. The line goes down from left to right.

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A parabola has the equation –5x2 + 30x – y – 34 = 0. Which equation is that of the parabola in vertex form?
frozen [14]
We can complete the square to get a standard form quadratic into vertex form. First, add Y and 34 to the right side of the equation. You’ll get -5x^2 + 30x = y + 34.
Next, you need to factor out a -5 from the left side, so you’ll get -5(x^2 -6x) = y + 34. Then, complete the square on the left. You’ll get -5(x-3)^2 = y - 11. Finally, add 11. The answer is y = -5(x-3)^2 + 11
6 0
3 years ago
An expression is shown.<br> 95 – 3^4<br> What is the value of the expression?
Gwar [14]

Answer: 14

Step-by-step explanation:

95-3^4

=95-81

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7 0
3 years ago
Find a positive number for which the sum of it and its reciprocal is the smallest​ (least) possible. Let x be the number and let
Allisa [31]

Answer:

S(x) = x + \frac{1}{x} --- Objective function

Interval = \{x:x=1\}

Step-by-step explanation:

Given

Represent the number with x

The required sum can be represented as:

x + \frac{1}{x}

Hence, the objective function is:

S(x) = x + \frac{1}{x}

To get the the interval, we start by differentiating w.r.t x

<em>Using first principle, this gives:</em>

S'(x) = 1 - \frac{1}{x^2}

Equate S'(x) to 0 in order to solve for x

0 = 1 - \frac{1}{x^2}

Subtract 1 from both sides

0 -1 = 1 -1 - \frac{1}{x^2}

-1 = - \frac{1}{x^2}

Multiply both sides by -1

1 = \frac{1}{x^2}

Cross Multiply

x^2 * 1 = 1

x^2  = 1

Take positive square root of both sides because x is positive

\sqrt{x^2} = \sqrt{1

x = 1

Representing x using interval notation, we have

Interval = \{x:x=1\}

To get the smallest sum, we substitute 1 for x in S(x) = x + \frac{1}{x}

S(1) = 1 + \frac{1}{1}

S(1) = 1 + 1

S(1) = 2

<em>Hence, the smallest sum is 2</em>

3 0
3 years ago
What is the solution to this equation?
HACTEHA [7]

Answer:

Option 1 - X = 9

Step-by-step explanation:

The solution to this equation, x - 15 = - 6

Solving the following,

Step 1: x - 15 = -6

Replace all the numerical values in one side and x digits on the other side

Step 2: x = -6+15

Step 3: x = 9

Therefore, the value of x is 9.

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3 years ago
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Lynda had 53 fewer fish then jack did
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