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3 years ago

Simplify:

Mathematics

1 answer:

ryzh [129]3 years ago

7 0

7.2(2.8r-4.5s)+9.34r -1.25s
=20.16r - 32.4 +9.34r -1.25s
=29.5r - 33.65s

So the answer is A
hope I can help u

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A) I only <br> B) II only<br> C) III only<br> D) I and II only

stepan [7]

Answer:

The . correct answer will be C

Step-by-step explanation:

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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

Plz Hurry

Svetradugi [14.3K]

Answer:

Step-by-step explanation:

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3 years ago

Women appear to marry about 3 years younger than men, but the two distributions are very similar in shape and spread.

Irina18 [472]

The brief report about what the attached data in the box plot shows that: "Women appear to marry around three years younger than males, although the shape and dispersion of the two distributions are extremely comparable."

A boxplot is a type of graph that shows how the values in the data are distributed.

A boxplot is a standardized technique of representing data distribution based on a five-number summary ("minimum", first quartile (Q1), median, third quartile (Q3), and "maximum").

It can provide information about your outliers and their values.

Learn more about box plots at;
brainly.com/question/14277132
#SPJ1

Full Question:

In 1975, did men and women marry at the same age? Here are boxplots of the age at first marriage for a sample of U.S. citizens then. Write a brief report discussing what these data show.

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2 years ago

Devon made the scatter plot to track his bank balance over time.

Lera25 [3.4K]

Answer:

y = -15x + 250

Step-by-step explanation:

Slope: I see two distinct points: <em>(14, 40) and (10, 100)</em>.

Using the slope equation, I get: <em>(100 - 40)/(10 - 14) = </em><em>-15</em>.

The slope is -15, so in a point-slope formula, it will go before the x.

Y-intercept: on the graph, when x = 0, y is 250. That goes after the x +.

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3 years ago