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2 years ago

Identify the domain of the function shown in the graph.

Mathematics

1 answer:

Luden [163]2 years ago

4 0

Answer:

Step-by-step explanation:

Domain of a function (Graph) is the set of ALLOWED x-values. Or, the x-values for which the function is defined.

Now, looking at the graph, we can see the line is defined in the region from x = 1 till x = 4, so the domain would be 1 ≤ x ≤ 4.

Answer choice B is right.

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adam and betty purchased a printer together for $258. If adam paid $18 less than twice betty, how much money did Adam pay for th

LenKa [72]

Answer:

Step-by-step explanation:

Let A = Adam, B = Betty

Adam and Betty purchased a printer together for $258.

This means we can say A + B = 258.

We are also told Adam paid $18 less than twice Betty.

You can write this as:

Adam = 2 x Betty - 18

A = 2B - 18

Substitute "A" into the A + B equation and you get:

A + B = 258

2B - 18 + B = 258

3B - 18 = 258

Add 18 to both sides.

3B = 258 + 18

3B = 276

Divide both sides by 3 to find B

B = 276/3 = 92 (This means Betty paid $92).

Since the total that they paid together was $258.

This means Adam pays the Total - How much Betty paid

Adam = 258 - 92 = $166

4 0

2 years ago

Read 2 more answers

What is the product of a+3 and −2a2+15a+6b2?

rewona [7]

For this case we must find the product of the following expression:

$(a + 3) (- 2a ^ 2 + 15a + 6b ^ 2)$

We apply distributive property term to term:

$(a + 3) (- 2a ^ 2 + 15a + 6b ^ 2) =\\-2a ^ 2 * a + 15a * a + 6b ^ 2 * a-6a ^ 2 + 45a + 18b ^ 2 =\\-2a ^ 3 + 15a ^ 2 + 6ab ^ 2-6a ^ 2 + 45a + 18b ^ 2=$

We add similar terms:

$-2a ^ 3 + (15-6) a ^ 2 + 6ab ^ 2 + 45a + 18b ^ 2 =\\-2a ^ 3 + 9a ^ 2 + 6ab ^ 2 + 45a + 18b ^ 2 =$

Finally, the expression is as:

$-2a ^ 3 + 9a ^ 2 + 6ab ^ 2 + 45a + 18b ^ 2$

Answeer:

$-2a ^ 3 + 9a ^ 2 + 6ab ^ 2 + 45a + 18b ^ 2$

5 0

2 years ago

A square has a perimeter of 12x + 52 units. Which expression represents the side length of the square in units?

Xelga [282]

Answer:

Option (3) is correct.

side length of square is (3x + 13 ) units.

Step-by-step explanation:

For a square with side 'a'. Perimeter is defined as the sum of length of side. Since, Square has four sides. Thus Perimeter of square = 4 × side

Given square has perimeter = 12x + 52

Comparing both sides,

4 × side = 12 x + 52

⇒ Side = $\frac{12x+52}{4}$

⇒ Side = $\frac{4(3x+13)}{4}$

⇒ Side = 3x + 13

Thus, side length of square is (3x + 13 ) units.

Thus, option (3) is correct.

3 0

2 years ago

Read 2 more answers

Use technology to approximate the solution(s) to the system of equations to the nearest tenth of a unit.

kherson [118]

Answer:

A.) (3.6, 0.6)
D.) (2.6, 0.4)

Step-by-step explanation:

See below for a graph.

___

Choices B, C, E can be eliminated on the basis that neither x nor g(x) can be negative. The domain of f(x) is x>0; the range of g(x) is x≥0.

7 0

2 years ago

The rabbit population in a certain area is 500% of last year's population. There are 1,100 rabbits this year. How many were th

andreev551 [17]

Answer:

5,500 rabbits

Step-by-step explanation:

500% of something is 5 times the original amount. 1,100 rabbits times 5 equals 5,500.

8 0

2 years ago