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3 years ago

Which statements about the graph of the function y=(1/3)

1 answer:

Elena-2011 [213]3 years ago

8 0

Answer: The range of the function is all real numbers is true.

Explanation: the graph of y = 1/3 is just a horizontal line at y = 1/3. so it’s not increasing or decreasing (it’s staying the same). there is no x-intercept, and the y-intercept is (0, 1/3). the range is all the possible y values, and there are infinite possible y values, so it is all real numbers.

hope this helps!

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Identify the domain of the function shown in the graph.

ivanzaharov [21]

For this case, we find the equation of the line, for this we look for points where the line passes:

$(x1, y1) = (- 2,0)\\(x2, y2) = (- 10, -4)$

We found the slope:

$m = \frac {y2-y1} {x2-x1} = \frac {-4-0} {- 10 - (- 2)} = \frac {-4} {- 10 + 2} = \frac {- 4} {- 8} = \frac {1} {2}$

Thus, the equation of the line is:

$y = \frac {1} {2} x + b$

We substitute a point to find "b":

$0 = \frac {1} {2} (- 2) + b\\0 = -1 + b\\b = 1$

Finally:

$y = \frac {1} {2} x + 1$

Now, the domain is given by all the values for which the function is defined.

It is observed that "x" can take any value, that is, it is defined for all real numbers.

Answer:

Option A

4 0

3 years ago

using the point-slope formula, what is the equation of the line that passes through the points (1, 5) and (0, 0)? a. y = x b. y

Dmitry_Shevchenko [17]

First we find the slope m as follows:
$m=\frac{y-y_{1}}{x-x_{1}}=\frac{5-0}{1-0}=5$
So the equation is of the form:
y = 5x + b
When x = 1, y = 5. Therefore b = 0.
So the equation is:
y = 5x

4 0

3 years ago

5. y = (x + 5)2 – 25

Oksana_A [137]

Answer:

Step-by-step explanation:

25+x=25x

25-25=0

y=0

4 0

3 years ago

A boat took 5 h to travel 60 km up a river, against the current. The return trip took 3 h. Find the speed of the boat in still w

Dafna11 [192]

Answer:

Correct answer: V₁ boat = 16 km/h and V₂ current = 4 km/h

Step-by-step explanation:

If we take speed (velocity) of the boat as V₁ and speed of the current V₂

Let us form equations:

Traveling down the current V₁ + V₂ = 60/3 = 20 km/h

Traveling against the current V₁ - V₂ = 60/5 = 12 km/h

V₁ - V₂ = 12

V₁ + V₂ = 20

If we add up the left and right sides of the equations we get:

2 V₁ = 32 => V₁ = 32/2 = 16 km/h

from the second equation we get:

V₂ = 20 - V₁ = 20 - 16 = 4 km/h

V₂ = 4 km/h

God is with you!!!

8 0

3 years ago

Between what two consecutive integers is 187

nadezda [96]

Answer:

93 and 94

Step-by-step explanation:

7 0

4 years ago