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2 years ago

Find the domain of the graphed function

Mathematics

1 answer:

Natasha2012 [34]2 years ago

5 0

The answer is D because the two points are in x-value -1 and 3

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Find the domain and range of f(x) = 2 square root of x-2

Neporo4naja [7]

$f(x)=2\sqrt{x-2}\\\\The\ domain:\\x-2\geq0\to x\geq2\\\boxed{x\in[2;\ \infty)}\\\\The\ range:\\\boxed{y\in[0;\ \infty)}$

$If\ f(x)=2\sqrt{x}-2,\ then\\\\The\ domain:\boxed{x\in[0;\ \infty)}\\\\The\ range:\boxed{y\in[-2;\ \infty)}$

5 0

2 years ago

Line AB contains points A (8, −4) and B (1, −5). The slope of line AB is....

shutvik [7]

Answer:

$The\ slope\ of\ the\ line\ AB\ is \frac{1}{7} .$

Step-by-step explanation:

Formula for slope

$m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}$

As the Line AB contains points A (8, −4) and B (1, −5).

Put points value in the above

$m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}$

$m = \frac{- 5- (-4)}{1 - 8}$

$m = \frac{- 5 + 4}{1 - 8}$

$m = \frac{- 1}{-7}$

$m = \frac{1}{7}$

$Therefore\ the\ slope\ of\ the\ line\ AB\ is \frac{1}{7} .$

7 0

2 years ago

Read 2 more answers

A truck can at most be filled with 20 ton. If there are currently 14 ton goods there already, write an inequality representing t

Rom4ik [11]

Answer:

$x + 14 \leq 20$ , x = 6 ton

Step-by-step explanation:

The truck can be filled with a total of 20 ton.

There are already 14 ton inside the truck, so if we call x the weight of goods that we can still add into the truck, we know that (x+14) must be equal at most at 20. Therefore, the inequality becomes:

$x+14\leq 20$

Solving it, we find

$x\leq 6$

which means that the most amount of goods that could be added to the truck is 6 tons.

4 0

2 years ago

At the city museum, child admission is $5.20 and adult admission is $9.90 . On Monday, twice as many adult tickets as child tick

DiKsa [7]

To solve this, I would just find what two adult tickets and one child ticket wold be worth.

To find that, just do:

5.20 + 9.90 * 2, which makes 25.

So now you just find how many 25s are in 900, or 36.

So 36 children's tickets were sold that day.

Hope I helped :)

7 0

2 years ago

The area of a playground is 336 yd2. The width of the playground is 5 yd longer than its length. Find the length and width of th

kondaur [170]

L=16
W=21

Set up a systems of equations:
x=length
y=width

xy=336
x+5=y

Use substitution to solve:
x(x+5)=336
x^2+5x=336

Solve using factoring:
x^2+5x-336=0
(x-16)(x+21)=0
x=16 and x= -21
Since length can't be negative, l=16

To find width, plug length into the first equation:
(16)y=336
y=21

So...
L=16
<span>W=21</span>

7 0

2 years ago

Read 2 more answers