Gragh h(t) = 400 − 39t − 157e−t/4

Richard walks every day for exercise at a rate of 1 kilometer every 12 minutes

Kobotan [32]

He coud walk 5 meters in one hour because i did 60-12-12-12-12 and then you have a extra 12 so he got 5 meters in one hour part b he can 1 more further because 1 meter because before it was 12 hope explained it right

8 0

3 years ago

Drag the expressions into the boxes to correctly complete the table. Polynomial Not a polynomial

uranmaximum [27]

The answer to the given question is as below:-

Polynomials:-

x³-7x²+9x-5x⁴-20

x⁵-5x⁴+4x³+2x-1

3x²-5x⁴+2x-12

Non-polynomial:-

x⁻5-5x⁻⁴+4x⁻³+2x⁻1-1

$\dfrac{4}{x^4}+ \dfrac{3}{x^3}-\dfrac{2}{x^4}-1$

$\sqrt[4]{x} -\sqrt[3]{x} 4+\sqrt{x}-8x+16$

<h3>What are polynomials?</h3>

A polynomial is a mathematical equation made up of indeterminates and coefficients and involves only addition, subtraction, multiplication, and non-negative integer exponentiation of variables. The exponents of the polynomials can not be irrational.

So the table will be formed as:-

Polynomials:- Non-polynomial:-

x³-7x²+9x-5x⁴-20 x⁻5-5x⁻⁴+4x⁻³+2x⁻1-1

x⁵-5x⁴+4x³+2x-1 $\dfrac{4}{x^4}+ \dfrac{3}{x^3}-\dfrac{2}{x^4}-1$

3x²-5x⁴+2x-12 $\sqrt[4]{x} -\sqrt[3]{x} 4+\sqrt{x}-8x+16$

Therefore the polynomials and non-polynomials are shown in the table above.

To know more about polynomials follow

brainly.com/question/2833285

#SPJ1

5 0

1 year ago

Find the equation of the line that passes through the points (-5,7) and (2,3)

Olegator [25]

Answer:

$y=-\frac{4}{7}x+4\frac{1}{7}$

Step-by-step explanation:

So, in order to solve this problem, I started off by drawing it out. On my graph that I have attached below, I first started out by locating the points (-5,7) and (2,3). Now, this is an optional step, but I highly encourage practicing your graphing skills by solving this problem on graph paper as well. Next, I connected the two points that I just graphed. This is the line that passes through (-5,7) and (2,3).

Now, here is where the actual solving starts. If you haven't already been taught this yet, I will introduce it to you now. I am going to find the equation of this line by filling in what I know in the equation y=mx+b, where m= the slope of the line, and b= y intercept.

Slope of the line: m= $\frac{y_{1} - y_{2} }{x_{1} - x_{2} } = \frac{7-3}{-5-2} = \frac{4}{-7}= -\frac{4}{7}$

If you haven't been taught how to find the slope of a line I recommend you find out.

Substitute the slope into the equation.

$y=-\frac{4}{7} x+b\\$

Now, we will solve for the 'b,' or y intercept.

We already have x and y values to use: (-5,7) or (2,3). I'll use x=2 and y=3 to solve for the y intercept.

$y=-\frac{4}{7} x+b\\\\3=-\frac{4}{7} *2+b\\\\3=-\frac{8}{7} +b\\b=3+\frac{8}{7} \\b=\frac{21}{7}+\frac{8}{7}=\frac{29}{7} =4\frac{1}{7} \\b=4\frac{1}{7}$