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1 year ago

What is the sum of the polynomials?

Mathematics

1 answer:

docker41 [41]1 year ago

5 0

Step-by-step explanation:

(6x + 7 + x²) + (2x² - 3) =

= 6x + 7 + x² + 2x² - 3 = 3x² + 6x + 4

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Rewrite each statement using the appropriate mathematical language 1. There exists a number b belonging to the set B 2. Even num

Shtirlitz [24]

Answer:

1. b ∈ B 2. ∀ a ∈ N; 2a ∈ Z 3. N ⊂ Z ⊂ Q ⊂ R 4. J ≤ J⁻¹ : J ∈ Z⁻

Step-by-step explanation:

1. Let b be the number and B be the set, so mathematically, it is written as

b ∈ B.

2. Let a be an element of natural number N and 2a be an even number. Since 2a is in the set of integers Z, we write

∀ a ∈ N; 2a ∈ Z

3. Let N represent the set of natural numbers, Z represent the set of integers, Q represent the set of rational numbers, and R represent the set of rational numbers.

Since each set is a subset of the latter set, we write

N ⊂ Z ⊂ Q ⊂ R .

4. Let J be the negative integer which is an element if negative integers. Let the set of negative integers be represented by Z⁻. Since J is less than or equal to its inverse, we write

J ≤ J⁻¹ : J ∈ Z⁻

4 0

3 years ago

Arrange the slope values in order from least steep to most steep

polet [3.4K]

Answer:

0 => -⅘ => 1.5 => 3 => -4 => $-\frac{11}{2} (-5.5)$

Step-by-step explanation:

The greater the absolute value of a slope, the steeper the slope. By absolute value, we mean the non-negative value of tthe .

To arrange the slope values, from the least steep to the steepest, ignore the negative sign in any of the slope values.

Thus, in the order from the least steep to the steepest, we have:

0 => -⅘ => 1.5 => 3 => -4 => $-\frac{11}{2} (-5.5)$

The greater the absolute value of the slope, the greater the vertical movement. The greater the vertical movement, the steeper the slope.

A slope value of 0 connotes a horizontal line.

5 0

2 years ago

25m + 100 - 24m - 75 = 68.

Maksim231197 [3]

25m+100−24m−75=68

Step 1: Simplify both sides of the equation.

25m+100−24m−75=68

25m+100+−24m+−75=68

(25m+−24m)+(100+−75)=68(Combine Like Terms)

m+25=68

Step 2: Subtract 25 from both sides.

m+25−25=68−25

m=43

Answer:

m=43

8 0

2 years ago

Two weeks in a row, the golf course hosts a group of golfers. The second week had 10 more golfers than the first week. Use the d

Trava [24]

Answer:

Option A.

Step-by-step explanation:

From the first dot plot the given data set for week 1 is

62, 68, 68, 68, 69, 70, 70, 72, 72, 72, 75, 75, 76, 78, 78, 80, 80, 80, 89, 89

Divide the data in 4 equal parts.

(62, 68, 68, 68, 69), (70, 70, 72, 72, 72), (75, 75, 76, 78, 78), (80, 80, 80, 89, 89)

$Range=Maximum-Minimum=89-62=27$

$Median=\frac{72+75}{2}=73.5$

$Mean=\frac{\sum x}{n}=\frac{1491}{20}=74.55$

From the second dot plot the given data set for week 2 is

62, 68, 68, 68, 69, 70, 70, 72, 72, 72, 75, 75, 76, 78, 78, 80, 80, 80, 85, 86, 86, 86, 88, 88, 88, 88, 89, 89, 89, 89

Divide the data in 4 equal parts.

(62, 68, 68, 68, 69, 70, 70), 72, (72, 72, 75, 75, 76, 78, 78), (80, 80, 80, 85, 86, 86, 86), 88, (88, 88, 88, 89, 89, 89, 89)

$Range=Maximum-Minimum=89-62=27$

$Median=\frac{78+80}{2}=79$

$Mean=\frac{\sum x}{n}=\frac{2364}{30}=78.8$

The range for Week 1 is equal to the range for Week 2.

The median for Week 2 is more than the median for Week 1.

The mean for Week 2 is more than the mean for Week 1.

Therefore, the correct option is A.

6 0

3 years ago

How can you use bar graphs to compare quantities in real life situations

devlian [24]

You can use bar graphs to compare quantities in real life situations by comparing different amounts, ex. you might use them for comparing different prices at a coffee shops around the world or different types of dogs you see at a park on a sunny day. You can really use bar graphs for comparing anything.

8 0

3 years ago