Explain what the word function implies in the sentence: The distance Annette traveled was a function of speed and the amount of

Answer:

Vertex: (1, -4)

intercept: (-3, 0)

Step-by-step explanation:

Let's be honest, you're not here for a detailed breakdown; you simply want the answer.

HOWEVER... the vertex corresponds to the Y-axis while the intercept aligns with the X-axis.

1. Angle DEF

2. Definition of congruent angles

3. Measure of angle GHI

Answer:

The correct options are:

The term 5x³ can be removed

The power of the first term, 5x³, can be modified to 2 and combined with the second term, 2x²

Explanation:

The degree of an expression is identified by its highest exponent.

The expression in question is:

5x³ + 2x² + 7x - 3

Observing this, we see that the highest exponent is 3, indicating that the expression’s degree is 3.

A quadratic function is defined as having degree 2, meaning the highest degree must be 2.

Thus, Martha must eliminate the term with degree 3 (5x³) from her function.

This can be achieved through two methods:

1- She can simply remove the term with the third degree.

2- She can change the term with degree 3 to a lower degree and combine it with an existing like term.

Evaluating the options, we conclude the two accurate choices are:

- The term 5x³ can be eliminated.

- The exponent on the first term, 5x³, can be reduced to 2 and subsequently joined with the second term, 2x².

I hope this is helpful!:)

Answer:

The correct answer is (A) $304.47.

Step-by-step explanation:

The formula for calculating the future value (FV) of an amount (A), compounded daily at an interest rate of r%, over a period of n years is:

The provided information is:

A = $300

r% = 1.48%

n = 1 year

Calculate the future value as shown:

     

Thus, the balance at the end of 1 year totals $304.47.

The correct choice is (A).

The volume of a rectangular prism is calculated as
V = length × width × height

. For the juice carton, the volume is calculated as
V = 4 × 4 × 8 = 128 in³

. The volume formula for a cylinder is
V = Area of circular base × height = ×h, where denotes the radius of the circular base

. The volume for the cylindrical glass is computed as
V = (1.5)² × 3.14 × 3.5 = 24.7275 in³

. Therefore, the quantity of glasses that can be filled with the juice from the carton is:

128 ÷ 24.7275 = 5.18 ≈ 5 glasses


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