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2 years ago

10

It took Lester 10 minutes to walk. to the skate park. He then rode his skateboard for 35 minutes. Lester finished riding at 10:4

5 A.M. At what time did Lester leave for the skate park?

2 answers:

inessss [21]2 years ago

8 0

The answer should be 10:00 a.m.

sergiy2304 [10]2 years ago

7 0

10min + 35min = 45min

Lester left 45min before 10:45AM

he left at 10AM

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Identify the independent and dependent variables. Write a function in function notation. Then use the function to solve the prob

bekas [8.4K]

Answer:

He is being paid $180 on Monday.

Step-by-step explanation:

Since it asks for function notation, I'll relate the variables accordingly. So, x, the independent variable, is the one that is being adjusted. That would be the amount of miles that he is assigned so x = miles assigned. Next, the dependent variable, f(x), is the amount of cash he is paid, so f(x) = total amount paid.

Here is the function that can be used to represent the situation:

f(x) = 3.50x + 75

Now, plug in 30 to find out how much he earns after completing a 30 mile route:

f(30) = 3.50(30) + 75

f(30) = 105 + 75

f(30) = 180

Also, the $75 is a fixed amount. No variable association.

7 0

1 year ago

Given the functionf ( x ) = x^2 + 7 x + 10/ x^2 + 9 x + 20

vladimir1956 [14]

<em>x = -4 is a vertical asymptote for the function.</em>

<h2>Explanation:</h2>

The graph of $y=f(x)$ is a vertical has an asymptote at $x=a$ if at least one of the following statements is true:

$1) \ \underset{x\rightarrow a^{-}}{lim}f(x)=\infty\\ \\ 2) \ \underset{x\rightarrow a^{-}}{lim}f(x)=-\infty \\ \\ 3) \ \underset{x\rightarrow a^{+}}{lim}f(x)=\infty \\ \\ 4) \ \underset{x\rightarrow a^{+}}{lim}f(x)=\infty$

The function is:

$f(x)=\frac{x^2+7x+10}{x^2+9x+20}$

First of all, let't factor out:

$f(x)=\frac{x^2+5x+2x+10}{x^2+5x+4x+20} \\ \\ f(x)=\frac{x(x+5)+2(x+5)}{x(x+5)+4(x+5)} \\ \\ f(x)=\frac{(x+5)(x+2)}{(x+5)(x+4)} \\ \\ f(x)=\frac{(x+2)}{(x+4)}, \ x\neq 5$

From here:

$\bullet \ When \ x \ approaches \ -4 \ on \ the \ right: \\ \\ \underset{x\rightarrow -4^{+}}{lim}\frac{(x+2)}{(x+4)}=? \\ \\ \underset{x\rightarrow -4^{+}}{lim}\frac{(-4^{+}+2)}{(-4^{+}+4)} \\ \\ \\ The \ numerator \ is \ negative \ and \ the \ denominator \\ is \ a \ small \ positive \ number. \ So: \\ \\ \underset{x\rightarrow -4^{+}}{lim}\frac{(x+2)}{(x+4)}=-\infty$

$\bullet \ When \ x \ approaches \ -4 \ on \ the \ left: \\ \\ \underset{x\rightarrow -4^{-}}{lim}\frac{(x+2)}{(x+4)}=? \\ \\ \underset{x\rightarrow -4^{-}}{lim}\frac{(-4^{-}+2)}{(-4^{-}+4)} \\ \\ \\ The \ numerator \ is \ a \ negative \ and \ the \ denominator \\ is \ a \ small \ negative \ number \ too. \ So: \\ \\ \underset{x\rightarrow -4^{-}}{lim}\frac{(x+2)}{(x+4)}=+\infty$

Accordingly:

$x=-4 \ is \ a \ vertical \ asymptote \ for \\ \\ f(x)=\frac{x^2+5x+2x+10}{x^2+5x+4x+20}$

<h2>Learn more:</h2>

Vertical and horizontal asymptotes: brainly.com/question/10254973

#LearnWithBrainly

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3 years ago

Solve the inequality<br>x - 3 < 3x - 7.

emmasim [6.3K]

Step-by-step explanation:

▪ x - 3 < 3x - 7

▪ x + 4 < 3x

▪ 4 < 2x

▪ 2 < x

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2 years ago

Harold paid 5% in sales tax on his new "smart fabric" warm-ups.

natita [175]

Answer:

The pre-tax price of "smart fabric" warm-ups is $745 .

Step-by-step explanation:

Let us assume that the pre-tax price of the "smart fabric" warm-ups be x .

As given

arold paid 5% in sales tax on his new "smart fabric" warm-ups.

if harnold paid 37.25 in sales tax on the warm ups .

5% is written in the decimal form .

$=\frac{5}{100}$

= 0.05

Equations becomes

0.05 × x = 37.25

0.05x = 37.25

$x = \frac{37.25}{0.05}$

x = $745

Therefore the pre-tax price of "smart fabric" warm-ups is $745 .

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2 years ago

Find the difference 0.0900-0.0088

coldgirl [10]

0.0900-0.0088=0.0812
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2 years ago

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