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2 years ago

Samantha is going to run in a 5K race. To prepare, she wants

Mathematics

1 answer:

user100 [1]2 years ago

4 0

The number of minutes Samantha needs to run on Friday to reach her goal is 45 minutes.

<h3>Average</h3>

Monday = 45 minutes
Tuesday = 30 minutes
Wednesday = 55 minutes
Thursday = 25 minutes
Friday = x minutes

Average = (Monday + Tuesday + Wednesday + Thursday + Friday) / 5

40 = (45 + 30 + 55 + 25 + x) / 5

40 × 5 = 155 + x

200 = 155 + x

200 - 155 = x

45 = x

x = 45 minutes

Learn more about average:

brainly.com/question/20118982

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Kasey has 8 packages of gelatin. She plans to fill molds that each take 1 1/3 packages of gelatin. Each mold can be divided into

Ipatiy [6.2K]

if in total Kasey has 8 packaged of gelatin and it takes 1 1/3 for each mold which equals 6 servings than you could work it out as

8 divided by 1 1/3=6.015 since its not a whole number than you'd want to go down to just 6 resulting in Kasey creating 6 molds

6 molds times 6 servings= 36 servings

6 0

4 years ago

F(x)

mina [271]

a) Since both limits are distinct and do not exist, we conclude that x = - 1 is not part of the domain of the rational function.

b) The function $f(x) = \frac{x}{x^{2}+ x}$ is equivalent to the function $g(x) = \frac{1}{x + 1}$ .

<h3>How to determine whether a limit exists or not</h3>

According to theory of limits, a function f(x) exists for x = a if and only if $\lim_{x\to a^{-}} f(x) = \lim_{x \to a^{+}} f(x)$ . This criterion is commonly used to prove continuity of functions.

Rational functions are not continuous for all value of x, as there are x-values that make denominator equal to 0. Based on the figure given below, we have the following lateral limits:

$\lim_{x \to -1^{-}} \frac{x}{x^{2}+x} = - \infty$

$\lim_{x \to -1^{+}} \frac{x}{x^{2}+x} = + \infty$

Since both limits are distinct and do not exist, we conclude that x = - 1 is not part of the domain of the rational function.

In addition, we can simplify the function by algebra properties:

$\frac{x}{x^{2}+ x} = \frac{x}{x\cdot (x + 1)} = \frac{1}{x + 1}$

$g(x) = \frac{1}{x + 1}$

The function $f(x) = \frac{x}{x^{2}+ x}$ is equivalent to the function $g(x) = \frac{1}{x + 1}$ .

To learn more on lateral limits: brainly.com/question/21783151

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7 0

2 years ago

Select the following lines that would be perpendicular to y = 3x + 1. (Select ALL correct)

max2010maxim [7]

Answer:

The line passing through points (1,4) and (4,3).

The line passing through points (1,-4) and (4,-5).

Step-by-step explanation:

Since the equation is y=3x+1

If it was perpendicular, it means the slope would be the negative reciprocal.

So the slope would be -1/3

9-8/6-3=1/3 (not negative) No

3-4/4-1=-1/3 Yes

-5+4/4-1=-1/3 Yes

6-3/5-4= 3/1 No

6 0

3 years ago

Given that f(x)=3x+5 and g(x)=x^3, find (f ° g)(-2)

grin007 [14]

Equal f(g(-2))
=f(-8)
= -19

3 0

4 years ago

Can you help me explain

stepladder [879]

Answer:

x = 10

Step-by-step explanation:

We need to isolate X.

3x - 7 = x + 13

subtract 13

3x - 7 - 13 = x

combine like terms

3x - 20 = x

subtract 3x

- 20 = x - 3x

Combine like terms

- 20 = - 2x

Divide by -2

10 = x

3 0

3 years ago