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3 years ago

10

Which rate describes a unit rate of 6:1?

1 answer:

Gemiola [76]3 years ago

4 0

Answer:

6/1

Unit rate = 6

Unit rates are ratios that compare two measurements (units) and the second measurement is 1 (per)

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The graph below shows the function f(x)=x-3/x2-2x-3. Which statement is true?

BARSIC [14]

1. Domain.

We have $x^2-2x-3$ in the denominator, so:

$x^2-2x-3\neq0\\\\(x^2-2x+1)-4\neq0\\\\(x-1)^2-4\neq0\\\\(x-1)^2-2^2\neq0\qquad\qquad[\text{use }a^2-b^2=(a-b)(a+b)]\\\\(x-1-2)(x-1+2)\neq0\\\\
(x-3)(x+1)\neq0\\\\\boxed{x\neq3\qquad\wedge\qquad x\neq-1}$

So there is a hole or an asymptote at x = 3 and x = -1 and we know, that answer B) is wrong.

2. Asymptotes:

$f(x)=\dfrac{x-3}{x^2-2x-3}=\dfrac{x-3}{(x-3)(x+1)}=\boxed{\dfrac{1}{x+1}}$

We have only one asymptote at x = -1 (and hole at x = 3), thus the correct answer is A)

6 0

3 years ago

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HELPPPPP MEEEE PLEASE

zalisa [80]

Answer: -6 i think

Step-by-step explanation:

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3 years ago

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Jan had x color pencils in her box and shares them equally with her friend,Talia.Her brother gives her 2 more color pencils.Jan

liberstina [14]

3 = X/2 + 2

1 = X/2

2 = X

Jan had 2 pencils to start off with. She gave half (1 pencil) to Talia. Her brother gave her 2, which means she ends up with 3.

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3 years ago

If the units for x are years, and x = 5 represents the year 2015, what is the y-value for 2010?

Darya [45]

<u>Given</u>:

The given graph passes through the points (-3,4) and (3,2)

The x - axis represents the years. The value x = 5, year 2015.

We need to determine the y - value for 2010.

<u>Slope</u>:

The slope of the line can be determined using the formula,

$m=\frac{y_2-y_1}{x_2-x_1}$

Substituting the points (-3,2) and (3,2), we get;

$m=\frac{2-4}{3+3}$

$m=\frac{-1}{3}$

Thus, the slope of the line is $m=\frac{-1}{3}$

<u>y - intercept:</u>

The y - intercept in the graph is the point in the line that crosses the y - axis.

Thus, from the graph, it is obvious that the y - intercept is b = 3.

<u>Equation of the line:</u>

The equation of the line can be determined using the formula,

$y=mx+b$

Substituting the values, we have;

$y=-\frac{1}{3}x+3$

Thus, the equation of the line is $y=-\frac{1}{3}x+3$

<u>The y - value for 2010:</u>

Since, it is given that x = 5 represents 2015 and 2010 is 5 years before 2010.

Hence, the value of x for 2010 is given by

$x=5-5=0$

Thus, x = 0 represents the year 2010.

To determine the y - value, let us substitute x = 0 in the equation $y=-\frac{1}{3}x+3$ , we have;

$y=-\frac{1}{3}(0)+3$

$y=3$

Thus, for 2010 the value of y is 3.

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3 years ago

What's the radius of a circle with an area of 64 square feet?

umka21 [38]

The answer is A. 4.51 ft. Hope this helps! :)

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3 years ago

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