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2 years ago

Consider the function represented by the graph. What is the domain of this function

Mathematics

2 answers:

Contact [7]2 years ago

5 0

Answer: The answer is $\{x:x\geq 0\}.$

Step-by-step explanation: We are given a graph that represents a function. We are to find the domain of the graphed function.

Domain and Range: If y=f(x) is a function, then the domain is the set of all first elements of ordered pairs (x-coordinates) and the range is the set of all second elements of ordered pairs (y-coordinates).

In the given graph, 'x' takes the values from 0 to infinity and 'y' takes the values from negative infinity to 9.

Therefore, domain of the function is [0, ∞) and the range is (-∞, 9).

Thus, the domain is given by the set $\{x:x\geq 0\}.$

Neporo4naja [7]2 years ago

3 0

The end of the ray stops the x values from proceeding left at x=0. So your domain is from that point on to infinity. In your solution set x >= 0, since the arrow continues on the right side where x's are positive.

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On an algebra test, the highest grade was 42 points higher than the lowest grade. The sum of the two grades was 138. Find the lo

miv72 [106K]

you could use this equation to help you solve it;

x + (x + 42) = 138

the first step is to combine like terms;

2x = 138 -42

2x = 96

X = 96/2

X = 48

we already solved for x now substitute it in the equation I gave you.

48 + (48 + 42) = 138

48 + 90 = 138

hope it helped...if you have any concerns just let me know:)

3 0

2 years ago

Joint and Combined Variations

Crazy boy [7]

10 * 450 / 404 * 36 / 40 = 10.0247524752 liters

Source:
http://www.1728.org/combined.htm

3 0

2 years ago

Read 2 more answers

Complete the steps for solving 7 = –2x2 + 10x. Factor out of the variable terms. inside the parentheses and on the left side of

Mamont248 [21]

we have

$7=-2x^{2} +10x$

Factor the leading coefficient

$7=-2(x^{2} -5x)$

Complete the square. Remember to balance the equation by adding the same constants to each side

$7-12.50=-2(x^{2} -5x+2.5^{2})$

$-5.50=-2(x^{2} -5x+2.5^{2})$

Divide both sides by $-2$

$2.75=(x^{2} -5x+2.5^{2})$

Rewrite as perfect squares

$2.75=(x-2.5)^{2}$

Taking the square roots of both sides (square root property of equality)

$x-2.5=(+/-)\sqrt{2.75}$

Remember that

$\sqrt{2.75}=\sqrt{\frac{11}{4}}= \frac{\sqrt{11}}{2}$

$x-2.5=(+/-)\frac{\sqrt{11}}{2}$

$x=2.5(+/-)\frac{\sqrt{11}}{2}$

$x=2.5+\frac{\sqrt{11}}{2}=\frac{5+\sqrt{11}}{2}$

$x=2.5-\frac{\sqrt{11}}{2}=\frac{5-\sqrt{11}}{2}$

the answer is

The solutions are

$x=\frac{5+\sqrt{11}}{2}$

$x=\frac{5-\sqrt{11}}{2}$

5 0

1 year ago

Read 2 more answers

Solve. A power outage affected all homes and businesses within a 3 mile radius of the power station. If the power station is loc

Aneli [31]

Answer:

$\left ( x+5 \right )^{2}+\left ( y-6 \right )^{2}= 9$

Step-by-step explanation:

The power station is located 5 miles west and 6 miles north of the center of town. So if we try to locate the above points on a Cartesian plane. The co-ordinates of these points will be (-5,6).

And it is also mentioned that a power outage affected all homes and businesses within a 3 mile radius of the power station. So if we plot all the furthest points from the station affected by the power outage it will be a circle of radius 3 miles and center at (-5,6).

The equation of a circle with center (a,b) and radius r is given by :

$\left ( x-a \right )^{2}+\left ( y-b \right )^{2}= r^{2}$

Hence the equation of the resulting circle will be: $\left ( x+5 \right )^{2}+\left ( y-6 \right )^{2}= 3^{2}$

4 0

1 year ago

A slide has an angle of elevation of 25°. It is 60 feet from the end of the slide to the stairway beneath the top of the slide.

Valentin [98]

Cos 25=0.90631
cos 25=(the end of the slide to the stairway beneath the top of the slide)/( length of the slide)
length of the slide=60/0.90631=66.2
the length of the slide = 66.2 feet

3 0

1 year ago