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3 years ago

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A sports company conducted a road test of a new model of a geared bike. The test rider cycled (3x − 2) miles on a flat road, (x2

− 5) miles uphill, and (2x + 7) miles downhill. Which simplified expression is equivalent to the total distance, in miles, for which the bike was tested?

2 answers:

laiz [17]3 years ago

4 0

Answer: The total distance for which the bike was tested is $(x^2+5x)~\textup{miles}.$

Step-by-step explanation: Given that a sports company conducted a road test of a new model of a geared bike.

The test rider cycled $(3x-2)$ miles on a flat road, $(x^2-5)$ miles uphill and $(2x+7)$ miles downhill.

We are to find the simplified expression that is equivalent to the total distance, in miles, for which the bike was tested.

The total distance for which the bike was tested is given by

$D\\\\=(3x-2)+(x^2-5)+(2x+7)\\\\=3x-2+x^2-5+2x+7\\\\=x^2+5x.$

Thus, the total distance for which the bike was tested is $(x^2+5x)~\textup{miles}.$

tankabanditka [31]3 years ago

3 0

It would start like this:
(3x-2) + (2x - 5) + (2x+7)
= 7x
Sorry if it's wrong...

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Savatey [412]

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Step-by-step explanation:

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2 years ago

Simplify the expression cos x cot x+ sin x please select the best answer from the choices provided a.0, b.csc x, c. Tan x, d sec

expeople1 [14]

Answer:

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Solving for $cos^2 x$ we got $cos^2 x =1 -sin^2 x$ and replacing this we got:

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And then the best option for this case would be:

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Step-by-step explanation:

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$cos x cot x + sin x$

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If we use this definition we got:

$cos x \frac{cos x}{sin x} + sin x$

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$\frac{1-sin^2 x}{sin x} +sin x$

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3 years ago

Select all of the potential solution(s) of the equation 2log5x = log54.

Vanyuwa [196]

Answer:

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$\longrightarrow alog\ m = log \ m^a$

Applying this to LHS , we have ;

$\longrightarrow log_5 x^2 = log_5 4$

Now the bases of logarithm on LHS and RHS is same . On comparing , we have ;

$\longrightarrow x^2 = 4$

Put square root on both sides,

$\longrightarrow x =\sqrt{4}$

Simplify ,

$\longrightarrow \underline{\underline{ x =\pm 2 }}$

This is the required answer.

6 0

2 years ago

A sample of gold has a mass of 579 g. The volume of the sample is 30 cm3. What is the density of the gold sample?

Ugo [173]

The density of the gold sample is 19.3g/cm³

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Learn more here: brainly.com/question/17780219

3 0

3 years ago

10 points! I will thanks, rate, and give best answer!!

vfiekz [6]

Answer: The fourth term is -102

----------------------------------------------

Explanation:

The term after the nth term is generated by this rule $a_{n+1} = -4(a_n) + 2$ which means that we first
Step 1) multiply the nth term ( $a_n$ ) by -4
Step 2) Add the result of step 1 to the value 2 to get the next term in the sequence

Let's follow those steps above to generate the first four terms

The first term is $a_1 = 2$ . In short, the first term is 2

The second term is...
$a_{n+1} = -4(a_n) + 2$
$a_{1+1} = -4(a_1) + 2$
$a_{2} = -4(2) + 2$
$a_{2} = -8 + 2$
$a_{2} = -6$
So the second term is -6

The third term is...
$a_{n+1} = -4(a_n) + 2$
$a_{2+1} = -4(a_2) + 2$
$a_{3} = -4(-6) + 2$
$a_{3} = 24 + 2$
$a_{3} = 26$
The third term is 26

Finally, the fourth term is...
$a_{n+1} = -4(a_n) + 2$
$a_{3+1} = -4(a_3) + 2$
$a_{4} = -4(26) + 2$
$a_{4} = -104 + 2$
$a_{4} = -102$
The fourth term is -102.

4 0

3 years ago