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IRINA_888 [86]
2 years ago
9

1. Try It #1

Mathematics
1 answer:
padilas [110]2 years ago
7 0

Answer:

The slope of the line representing the linear function f(x) is determined as $-\frac{1}{2}$. The function f(x) is decreasing because the slope is less than zero, i.e., m<0.

Step-by-step explanation:

A linear function f(x) is given with two points, (2,3) and (0,4) lying on the line representing f(x).

It is asked to determine the slope of the line and state if the function is increasing or decreasing. of the value of the slope obtained.

Step 1 of 1

Determine the slope of the line.

The points as given in the question are (2,3) and (0,4). Now, the formula for the slope is given as

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

So, substitute $4 \& 3$ for $y_{2}$ and $y_{1}$ respectively, and $0 \& 2$ for $x_{2}$ and $x_{1}$ respectively in the above formula. Then simplify to get the slope as follows,$m=\frac{4-3}{0-2}$\\ $m=\frac{1}{-2}$\\ $m=-\frac{1}{2}$

The slope of the line is obtained as $-\frac{1}{2}$. Now, as $-\frac{1}{2} < 0$, so the function f(x) is decreasing.

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Which expressions are polynomials??
GrogVix [38]

Answer:

Options (1) and (2)

Step-by-step explanation:

Properties of a polynomial,

1). A polynomial having division by a variable can't be defined as a polynomial.

  Example:

   (y² + \frac{x}{1+x})

2). A polynomial can't have a negative exponent.

  Example : (x^{-2}+y-6)

3). Polynomials don't have the radicals.

  Example : y² + x√3

4). A polynomial can't have a fraction exponent.

   Example : x^2+x^{\frac{1}{2}}-1

By these properties, Options (3) and (4) are not the polynomials.

Options (1) and (2) are the correct options.

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3 years ago
What is the total surface area of the solid?
mash [69]

Answer:

Step-by-step explanation:

The formula for determining the total surface area of a rectangular prism is expressed as

Total surface area = 2lw + 2wh + 2lh

Where

l represents the length = 16

w represents the width = 11

h represents the height = 10

Total surface area = (2 × 16 × 11) + (2 × 11 × 10) + (2 × 16 × 10) = 352 + 220 + 320 = 892 mm²

The formula for determining the total surface area of a triangular prism is expressed as

Total surface area = ph + 2b

p represents perimeter of base

h represents height of prism

b represents base area

From the information given,

h = 16

b = 1/2base × height = 1/2 × 11 × 8 = 44 mm²

to determine the perimeter of the base, we would determine the slant height, l by applying Pythagoras theorem.

Hypotenuse² = opposite side² + adjacent side²

l² = 11² + 8² = 185

l = √185 = 13.6

p = 13.6 + 11 + 8 = 32.6 mm

Total surface area = (32.6 × 16) + (2 × 44) = 521.6 + 88 = 609.6 mm²

6 0
3 years ago
Read 2 more answers
two years ago a man was six times as old as his daughter. In 18 years he will be twice as old as her, determine their present ag
BabaBlast [244]

Step-by-step explanation:

Let m = man's age right now

d = daughter's age right now

m-2 = 6(d-2)  =>  m = 6d -12 +2 = 6d-10

m+18 = 2(d+18)   =>   m = 2d+36-18 = 2d+18

6d-10 = 2d+18

4d = 28

d = 7

m = 32

6 0
3 years ago
What is the distance to the earth’s horizon from point P?
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The distance to the earth’s horizon from point P is 281.6 miles

<h3>How to determine the distance to the earth’s horizon from point P?</h3>

The tangent line from P meets the radius of the earth at a right angle.

This means that the triangle is a right triangle.

The length of x is then calculated as:

(3959 + 10)^2= 3959^2 + x^2

Rewrite as:

x^2 = (3959 + 10)^2- 3959^2

Evaluate

x^2 = 79280

Take the square root of both sides

x = 281.6

Hence, the distance to the earth’s horizon from point P is 281.6 miles

Read more about distance at:

brainly.com/question/3503424

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Will give brainliest! picture below
hodyreva [135]
The answer is point Q
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