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2 years ago

Select each equation that the number 10^2 makes true.

Mathematics

2 answers:

8090 [49]2 years ago

4 0

Answer:

4.08 x 10^2 = 408 = true

0.97 x 10^2 = 97 = true

Step-by-step explanation: the third and fourth equations are true

serious [3.7K]2 years ago

4 0

Answer:

4.08 x 10^2 = 408
0.97 x 10^2 = 97

Step-by-step explanation:

Multiplying by 10^n moves the decimal point n places to the right. The expressions will be true for a multiplier of 10^2 if the final position of the decimal point is 2 places to the right of the initial position.

0.031 x 10^3 = 31

0.501 x 10^3 = 501

4.08 x 10^2 = 408

0.97 x 10^2 = 97

0.55 x 10^3 = 550

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Use set builder notation to give a description of each of these sets. a) {0,3,6,9,12} b) {−3,−2,−1,0,1,2,3} c) {m,n,o,p}

attashe74 [19]

Answer:

$\left \{ 0,3,6,9,12 \right \}=\left \{ x;x=3n\,,\,n\,\varepsilon \,W ;\,\,n\leq 4\right \}\\\left \{ -3,-2,-1,0,1,2,3 \right \}=\left \{ x;x=\pm n;\,\,n=0,1,2,3 \right \}\\\left \{ m,n,o,p \right \}=\left \{ x;x \,\,is\,\,an\,\,alphabet\,\,after\,\,l\,\,and\,\,before\,\,q \right \}$

Step-by-step explanation:

The set is a well-defined collection of objects.

Set builder form describes the set by stating the property of each of its elements.

$\left \{ 0,3,6,9,12 \right \}=\left \{ x;x=3n\,,\,n\,\varepsilon \,W ;\,\,n\leq 4\right \}$

W is a set of whole numbers.

$\left \{ -3,-2,-1,0,1,2,3 \right \}=\left \{ x;x=\pm n;\,\,n=0,1,2,3 \right \}$

$\left \{ m,n,o,p \right \}=\left \{ x;x \,\,is\,\,an\,\,alphabet\,\,after\,\,l\,\,and\,\,before\,\,q \right \}$

7 0

3 years ago

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matrenka [14]

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3 years ago

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Which set of points includes all of the solutions for y = negative three halves times x plus two? line going through 0 comma 2 a

worty [1.4K]

Answer:

$(x,-\frac{3}{2} x+2)$

Step-by-step explanation:

For $y= \frac{-3}{2} x+2$ the set of points that include all solutions are $(x,y)$ such that $y= \frac{-3}{2} x+2$ ; then we have $(x,y)=(x,\frac{-3}{2} x+2)$ .

What is important to stress here is that $(x,-\frac{3}{2} x+2)$ represents all of the solutions, while other points that we are given represent one solution (for example, point (2,-1) is just one solution)

5 0

3 years ago

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k0ka [10]

Answer:

5. A.

6. F

Step-by-step explanation:

5. Perpendicular lines have slopes that are negative reciprocals of one another, so slope is 3

y = 3x + b

using coordinates (-6,3)

3 = 3(-6) + b

b = 21

y = 3x + 21

6. I think F is the right answer

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2 years ago

Algebra 1. please help me. i’m literally struggling , i’ll give an extra 50 points if it’s right and brainliest. - question in p

Arada [10]

Answer:

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Step-by-step explanation:

(12x² + 2x) - (-3x²+ 5x + 7)

First open the parentheses by applying the distributive property.

To do this, multiply each term you have inside (-3x⅔ + 5x + 7) by -1.

Thus, you would have the following:

12x² + 2x + 3x² - 5x - 7

Add like terms

12x² + 3x² + 2x - 5x - 7

15x² - 3x - 7

6 0

3 years ago