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3 years ago

Abby can buy an 8-pound bag of dog food for $7.40 or a 4-pound bag of the same dog food for $5.50. Which is the better buy.

Mathematics

2 answers:

kumpel [21]3 years ago

8 0

8 pound bag for 7.40 is the better buy

Vesna [10]3 years ago

7 0

I agree, 8-pound bag of dog food for $7.40 is the better buy.

Byeeeeeee!!!

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Consider △LNM. Which statements are true for triangle LNM? Check all that apply. The side opposite ∠L is NM. The side opposite ∠

Anvisha [2.4K]

The following statements are true by definition:

The side opposite ∠L is NM.

The side opposite ∠N is ML.

The side opposite to the angle should not contain any letter of that side.

The following statements are not essentially true because we have no idea if triangle LNM is a right triangle (if it is, then we do not know what the hypotenuse is):

The hypotenuse is NM.

The hypotenuse is LN.

The following statements are not true:

The side adjacent ∠L is NM.

The side adjacent ∠N is ML.

They are not true because the side adjacent to an angle should have its letter on the side. For example, the side adjacent to ∠L should be LN or LM and for ∠N it should be NM or NL.

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3 years ago

Read 2 more answers

Please help me with this question. Algebra 2 is hard!!

trapecia [35]

Answer:

domain: {x ∈ ℝ : x ≤ 5}
range: {y ∈ ℝ : y ≤ -1}

Step-by-step explanation:

Domain

The domain of a function is the set of x values for which the function is defined. Here, the domain is limited by the values of x that make the square root defined. That is, the expression under the radical cannot be negative:

-3x +15 ≥ 0

15 ≥ 3x . . . . . . add 3x

5 ≥ x . . . . . . . . divide by 3

x ≤ 5 . . . . . . . . put x on the left (swap sides)

The rest of the notation in the domain expression simply says x is a real number.

domain: {x ∈ ℝ : x ≤ 5} . . . . . . matches the first choice

Range

The range of a function is the set of values that f(x) can have. We know the square root can be zero or any positive number. When it is zero, f(x) = -1.

When it is a positive number, that value is multiplied by -4 and added to -1, so f(x) is a number more negative than -1. Then the range of the function is all numbers -1 and below:

range: {y ∈ ℝ : y ≤ -1} . . . . . . matches the last choice

_____

Comment on domain/range problems

When working domain and range problems, it works well to have a good understanding of the domain and range limitations of the functions we usually work with: polynomials, square root, logarithm, trig functions, exponential functions. Domain and range problems generally involve combinations of these or ratios of combinations of these.

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3 years ago

Choose 3 values that would make this inequality true. 9 - n ≥ 4

Alenkasestr [34]

Answer: Could be 0,1,2,3,4,5

Step-by-step explanation: 9-n has to be greater or equal to four. 9 minus 4 is five. So all of the answers must be positive numbers that are less than five.

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2 years ago

For each sentence below, find the value of x that makes each sentence true.

vitfil [10]

ANSWER

1. $x=\frac{1}{2}$