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3 years ago

When a relation is drawn on an xy-plane, what is another name for the set of all x-values from its graph

1 answer:

6 0

All x-values on the xy plane are also called the domain of the function. The domain is the "input" and the y-values are called the "range" of the function, which is the output after processing the domain in a function. Hope this helps :)

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If 2 liters of sea water contain 70 grams of salt, how much salt is in 32 liters of seawater?

Liono4ka [1.6K]

Answer:

There is 1,120 grams of salt in 32 liters of seawater.

Step-by-step explanation:

32 / 2 = 16

16 * 70 = 1,120

8 0

3 years ago

Two sets of equatic expressions are shown below in various forms: Line 1: x2 + 3x + 2 (x + 1)(x + 2) (x + 1.5)2 − 0.25 Line 2: x

kherson [118]

Answer: The correct line is

$\textup{Line 1 :}x^2+3x+2=(x+1)(x+2)=(x+1.5)^2-0.25.$

Step-by-step explanation: We are given the following two sets of quadratic expressions in various forms:

$\textup{Line 1: }x^2+3x+2=(x+1)(x+2)=(x+1.5)^2-0.25,\\\\\textup{Line 2 :}x^2+5x+6=(x+2)(x+3)=(x+2.5)^2+6.25.$

We are to select one of the lines from above that represent three equivalent expressions.

We can see that there are three different forms of a quadratic expression in each of the lines:

First one is the simplified form, second is the factorised form and third one is the vertex form.

So, to check which line is correct, we need to calculate the factorised form and the vertex form from the simplified form.

We have

$\textup{Line 1: }\\\\x^2+3x+2\\\\=x^2+2x+x+2\\\\=x(x+2)+1(x+2)\\\\=(x+1)(x+2),$

and

$x^2+3x+2\\\\=x^2+2\times x\times 1.5+(1.5)^2-(1.5)^2+2\\\\=(x+1.5)^2-2.25+2\\\\=(x+1.5)^2-0.25.$

So,

$\textup{Line 1 :}x^2+3x+2=(x+1)(x+2)=(x+1.5)^2-0.25.$

Thus, Line 1 contains three equivalent expressions.

Now,

$\textup{Line 2: }\\\\x^2+5x+6\\\\=x^2+3x+2x+6\\\\=x(x+3)+2(x+3)\\\\=(x+2)(x+3),$

and

$x^2+5x+6\\\\=x^2+2\times x\times 2.5+(2.5)^2-(2.5)^2+6\\\\=(x+2.5)^2-6.25+6\\\\=(x+2.5)^2-0.25\neq (x+2.5)^2+6.25.$

So,

$\textup{Line 2 :}x^2+3x+2=(x+1)(x+2)=(x+1.5)^2+6.25.$

Thus, Line 2 does not contain three equivalent expressions.

Hence, Line 1 is correct.

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4 years ago

Finding the Slope: Identify the slope. Will give 5 brainlist points if correct

xxMikexx [17]

Answer:

1/2

Step-by-step explanation:

Rise 1 over 2

8 0

3 years ago

Read 2 more answers

Straight leg jeans are 20% off at Kohls this week. How much will you pay for 4 pairs if the regular price is $59.99?

ankoles [38]

20% of 59.99 is 11.998 so 11.99. 59.99 - 11.99 = 48. 48x4 is 192
192$

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3 years ago

Pls help quick area of trapezoids

Thepotemich [5.8K]

It has to be a number

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3 years ago