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2 years ago

15

The distance that a jogger travels at a constant speed of 6.5 miles per hour can be modeled by the linear function f(x)=6.5x, wh

ere x is the time in hours the jogger runs. What is the domain of this function? How would a graph of this function show it?

1 answer:

Sophie [7]2 years ago

7 0

Domain : [ -infinite , infinite [
graph should be going up diagonally .

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What is the degree of the following polynomial? 4x^2+2x+7

adelina 88 [10]

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2 years ago

Solve the given system by the substitution method. If there is no solution or an infinite number of solutions, so state. Use se

Novosadov [1.4K]

Answer:

x=5, y=3

Step-by-step explanation:

1) x+3y=14,4x+5y=35

2) x+3y=14

3) x=-3y+14

4) 4(-3y+14)+5y=35

5) -12y+56+5y=35

6) -7y+56=35

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4 0

2 years ago

What equation does the model represent?

Vesnalui [34]

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7 0

2 years ago

For the following exercises, solve each inequality and write the solution in interval notation.

Pie

Answer:

The solution of the given set in interval form is $(-\infty,-4] \cup[12, \infty)$ .

Step-by-step explanation:

It is given in the question an inequality as $|x-4| \geq 8$ .

It is required to determine the solution of the inequality.

To determine the solution of the inequality, solve the inequality $x-4 \geq 8$ and, $x-4 \leq-8$

Step 1 of 2

Solve the inequality $x-4 \geq 8$

$\begin{aligned}&x-4 \geq 8 \\&x-4+4 \geq 8+4 \\&x \geq 12\end{aligned}$

Solve the inequality $x-4 \leq-8$ .

$\begin{aligned}&x-4 \leq-8 \\&x-4+4 \leq-8+4 \\&x \leq-4\end{aligned}$

Step 2 of 2

The common solution from the above two solutions is x less than -4 and $x \geq 12$ .

The solution set in terms of interval is $(-\infty,-4] \cup[12, \infty)$ .

7 0

1 year ago

Hi! how do i do this?

lapo4ka [179]

Answer:

p = 2

Step-by-step explanation:

A rational function has a vertical asymptote where the denominator is zero.

__

Your function will have a denominator that is zero when ...

x -p = 0 ⇒ x = p

We are told there is a vertical asymptote at x = 2. That means ...

p = 2

4 0

1 year ago