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3 years ago

What is the domain of the relation graphed below?

Mathematics

2 answers:

sergij07 [2.7K]3 years ago

6 0

Answer:

{-5, -4, -3, 1, 2, 5}

Step-by-step explanation:

The domain of a function is defined as: the set of possible values of the independent value. This means, all the possible values that x can take. The independent value in a graph is represented in the x-axis.

So, in this graph, the values taken by x are -5, -4, -3, 1, 2 and 5.

We can see that there are no other values taken by x (the independent variable)

Therefore, the domain of the graphic is {-5, -4, -3, 1, 2, 5}

swat323 years ago

4 0

Since the only places where an x-ordinate exist are the closed circles, the domain will simply be:

D: { -5, -4, -3, 1, 2, 5 }

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How many ml of a 20% acid mixture and a 80% acid mixture should be mixed to get 120ml of a 35% acid mixture?

shutvik [7]

Answer:

Volume of Mixture A =90 ml

Volume of Mixture B =30 ml

Step-by-step explanation:

Let say, Mixture A + Mixture B = Mixture C

Volume of Mixture A is x

Volume of Mixture B is y

So, Volume of Mixture C is x+y = 120 ml

Now, Acid contain in Mixture A is 20% =0.2x

Acid contain in Mixture B is 80% =0.8y

Also, Acid contain in Mixture C is 35% =(0.35)(x+y) = 0.35×120=42

Now, we know that,

Acid contain of Mixture A + Acid contain of Mixture B=Acid contain of Mixture C

∴ 0.2x+0.8y=42

∴ 2x+8y=420

We get two linear equations

2x+8y=420 and x+y = 120

Solving above equation...

∴ x=120-y

Replacing x value in 2x+8y=420

∴ 2(120-y)+8y=420

∴ 240-2y+8y=420

∴ 6y=180

∴ y=30

Replacing y value in any equation

∴ x=120-y=120-30=90

∴ x=90

Thus,

Volume of Mixture A is x=90 ml

Volume of Mixture B is y=30 ml

3 0

4 years ago

A rope is 250 centimeters long. You need the rope to be 1 1/2 meters long. How many centimeters should you cut off?

Drupady [299]

If you would like to know how many centimeters should you cut off, you can calculate this using the following steps:

1 1/2 meters = 3/2 meters = 1.5 meters = 150 centimeters

250 centimeters - 1 1/2 meters = 250 centimeters - 150 centimeters = 100 centimeters = 1 meter

The correct result would be 100 centimeters.

6 0

3 years ago

*trigonometry and area.*

soldier1979 [14.2K]

Answer:

The correct answer is that the area of the regular octagon is 309 cm²

Step-by-step explanation:

There are several formulas for calculating the area of a regular octagon. We will use this one for solving this question because it does not require additional information .

Area = (2 * s²)/tan 22,5°

s = 8 cm

Replacing with the real values, we have:

Area = (2 * 8²)/tan 22,5°

Area = 2 * 64/0.4142

Area = 128/0.4142

Area = 309 cm² (Rounding to the nearest tenth)

6 0

3 years ago

The function h(x) = 1/2 (x+3)2 +2. How is the graph of the h(x) translated from the parent graph of a quadratic function, F(x) =

Natali5045456 [20]

For this case, the parent function is given by:
$F (x) = x ^ 2
$
We apply the following function transformation:
Vertical compressions:
To graph y = a * f (x)
If 0 <a <1, the graph of y = f (x) is compressed vertically by a factor a. (Shrinks)
We have then:
$y = (1/2) * x ^ 2
$
Horizontal translations:
Suppose that h> 0
To graph y = f (x + h), move the graph of h units to the left.
We have then:
$y = (1/2) * (x + 3) ^ 2
$
Vertical translations:
Suppose that k> 0
To graph y = f (x) + k, move the graph of k units up.
We have then:
$h (x) = (1/2) * (x + 3) ^ 2 + 2
$
Answer:
Vertical compression by factor of 1/2. Horizontal displacement 3 units to the left. Vertical displacement 2 units up.

3 0

3 years ago

The factorial 4! is equal to

Maru [420]

Pay attention cause the factorial will be like this:
4!=4∗3∗2∗1
And the consequent answer will be 24
Hope this works for you

6 0

3 years ago

Read 2 more answers