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RUDIKE [14]
3 years ago
6

Consider the rational expression x2+6x−2/6x−5 .

Mathematics
2 answers:
pychu [463]3 years ago
8 0

Answer:

Correct choices are C, D and E

Step-by-step explanation:

Consider expression \dfrac{x^2+6x-2}{6x-5}.

Note that numerator x^2+6x-2 consists of three terms: x^2,\ 6x,\ -2 and the denominator 6x-5 consists of two terms: 6x,\ -5.

A. False option.

The term in the numerator and in the denominator can be divided out, if both numerator and denominator are factored. Since 6x is a term in numerator and denominator and is not a factor, then it cannot be divided out.

B. False option.

The numerator is quadratic trinomial. Each quadratic trinomial has at most 2 factors. Since 3>2, then the numerator cannot have three factors.

C. True option, because three terms of the numerator are x^2,\ 6x,\ -2.

D. True option, because two terms of the denominator are 6x,\ -5.

E. True option. The linear polynomial is always single factor.


DaniilM [7]3 years ago
3 0

Answer:

The last three terms are true.

Step-by-step explanation:

The last three statements are true.  Yes, the numerator has 3 terms:  x^2 + 6x - 2.  Yes, the denominator has 2 terms:  6x - 5.  Yes, that denominator is a single factor.

No, the numerator does not have three factors.  It does, however, have three terms.  No, 6x in the numerator does not cancel out the 6x in the denominator.

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Luda [366]

Answer:

Convert to decimals:

1.5 and 0.75

Then, set up a proportion

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6 0
3 years ago
Read 2 more answers
Can anyone help thanks
Soloha48 [4]

Answer:

x = 8, -4

Step-by-step explanation:

2x-4-6=6; therefore, x = 8

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5 0
3 years ago
you are riding a bicycle which has tires with a 25-inch diameter at a steady 15-miles per hour, what is the angular velocity of
motikmotik

Answer:

The angular velocity is 6.72 π radians per second

Step-by-step explanation:

The formula of the angular velocity is ω = \frac{v}{r} , where v is the linear velocity and r is the radius of the circle

The unit of the angular velocity is radians per second

∵ The diameter of the tire is 25 inches

∵ The linear velocity is 15 miles per hour

- We must change the mile to inch and the hour to seconds

∵ 1 mile = 63360 inches

∵ 1 hour = 3600 second

∴ 15 miles/hour = 15 ×  \frac{63360}{3600}

∴ 15 miles/hour = 264 inches per second

Now let us find the angular velocity

∵ ω = \frac{v}{r}

∵ v = 264 in./sec.

∵ d = 25 in.

- The radius is one-half the diameter

∴ r = \frac{1}{2} × 25 = 12.5 in.

- Substitute the values of v and r in the formula above to find ω

∴ ω = \frac{264}{12.5}

∴ ω =  21.12 rad./sec.

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3 0
3 years ago
The point (21,32) is on a line with slope 1.5.
Oxana [17]
We can use the equation: y=mx+b
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We must plug in what we know in order to find the value of b.
32 = 1.5*21 + b
32 = 31.5 + b
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Now we know our equation is y = 1.5x + 0.5

We can find any other point on the line by plugging in any x-value. Let's try 5.
y = 1.5*5 + 0.5
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jenyasd209 [6]

Answer:

Read the explanation

Step-by-step explanation:

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