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4 years ago

Simplify the expression. -b + 2 + 9b

Mathematics

1 answer:

professor190 [17]4 years ago

8 0

Answer:

8b+2

Step-by-step explanation:

Combine Like Terms:

=−b+2+9b

=(−b+9b)+(2)

=8b+2

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A basket of fruit holds 12 apples, 24 pears, and 16 oranges. Find the ratio of apples, pears, and oranges in the basket.

miv72 [106K]

Answer:

3:6:4

Step-by-step explanation:

We are given that

Number of apples in the basket=12

Number of pears in the basket=24

Number of oranges in the basket=16

We have to find the ratio of apples, pears and oranges in the basket.

$12=4\times 3$

$24=4\times 3\times 2$

$16=4\times 2\times 2$

HCF (12,24,16)=4

Now, divide each number by HCF

Then, we get

3:6:4

Therefore, the ratio of apples, pears and oranges in the basket.

3:6:4

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3 years ago

A farmer can buy two types of plant food, mix a and mix

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3 years ago

Write 680,750 in expanded form

Rama09 [41]

600,000+80,000+700+50

3 0

4 years ago

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What is the length of the apothem, rounded to the nearest inch? recall that in a regular hexagon, the length of the radius is eq

NNADVOKAT [17]

Answer:

Step-by-step explanation:

What is the length of the apothem, rounded to the nearest inch? recall that in a regular hexagon, the length of the radius is equal to the length of each side of the hexagon. 4 in. 5 in. 9 in. 11 in.

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2 years ago

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Question 2 (2 points)

hoa [83]

Answer:

4) The limit does not exist.

General Formulas and Concepts:

Calculus

Limits

Right-Side Limit: $\displaystyle \lim_{x \to c^+} f(x)$
Left-Side Limit: $\displaystyle \lim_{x \to c^-} f(x)$

Limit Rule [Variable Direct Substitution]: $\displaystyle \lim_{x \to c} x = c$

Step-by-step explanation:

*Note:

For a limit to exist, the right-side and left-side limits must be equal to each other.

Step 1: Define

Identify

$\displaystyle f(x) = \left\{\begin{array}{ccc}5 - x ,\ x < 5\\8 ,\ x = 5\\x + 3 ,\ x > 5\end{array}$

Step 2: Find Left-Side Limit

Substitute in function [Left-Side Limit]: $\displaystyle \lim_{x \to 5^-} 5 - x$
Evaluate limit [Limit Rule - Variable Direct Substitution]: $\displaystyle \lim_{x \to 5^-} 5 - x = 5- 5 = 0$

Step 2: Find Left-Side Limit

Substitute in function [Right-Side Limit]: $\displaystyle \lim_{x \to 5^+} x + 3$
Evaluate limit [Limit Rule - Variable Direct Substitution]: $\displaystyle \lim_{x \to 5^+} x + 3 = 5 + 3 = 8$

∴ since $\displaystyle \lim_{x \to c^+} f(x) \neq \lim_{x \to c^-} f(x)$ , $\displaystyle \lim_{x \to 5} f(x) = \text{DNE}$

Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Limits

5 0

3 years ago