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AlexFokin [52]
2 years ago
8

Which rule should be applied to reflect f(x)=x^3 over the y-axis?

Mathematics
2 answers:
Anna11 [10]2 years ago
7 0
To make a reflection over the y axis, make the whole equation negative. 
The new equation should look like this:

f(x) = -x^3
lyudmila [28]2 years ago
4 0

Answer:

Substitute -x in place for x.  

Step-by-step explanation:

We have been given a function f(x)=x^3. We are asked to reflect our given function over the y-axis.

We know that after reflecting a function over y-axis, the y-coordinates remains same, while sign of x-coordinates changes to opposite.

The rule of reflection of a point over y-axis is f(x)\rightarrow f(-x).

Therefore, we need to substitute -x in place for x in our given function and simplify the equation.

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Astrid is in charge of building a new fleet of ships. Each ship requires 404040 tons of wood, and accommodates 300300300 sailors
prisoha [69]

Answer:

10 Ships

Step-by-step explanation:

Source: Khan Academy

4 0
2 years ago
Read 2 more answers
Cheese costs $4.40 per pound. Find the cost per kilogram. (1kg = 2.2lb)
MakcuM [25]

Answer:

The cost is $9.70 per kilogram.

Step-by-step explanation:

This can be solved by a rule of three.

In a rule of three problem, the first step is identifying the measures and how they are related, if their relationship is direct of inverse.

When the relationship between the measures is direct, as the value of one measure increases, the value of the other measure is going to increase too. In this case, the rule of three is a cross multiplication.

When the relationship between the measures is inverse, as the value of one measure increases, the value of the other measure will decrease. In this case, the rule of three is a line multiplication.

In this problem, the measures are the weight of the cheese and the price. As the weight increases, so does the price. It means that this is a direct rule of three.

Solution:

The problem states that cheese costs $4.40 per pound. Each kg has 2.2 pounds. How many kg are there in 1 pound. So:

1 pound - xkg

2.2 pound - 1 kg

2.2x = 1

x = \frac{1}{2.2}

x = 0.45kg

Since cheese costs $4.40 per pound, and each pound has 0.45kg, cheese costs $4.40 per 0.45kg. How much does is cost for 1kg?

$4.40 - 0.45kg

$x - 1kg

0.45x = 4.40

x = \frac{4.40}{0.45}

x = 9.70

The cost is $9.70 per kilogram.

6 0
2 years ago
What is a fraction equation that equals 1
Svetach [21]

Any fraction in which the numerator's value is the same as the denominator's value will equal 1. For example:

7/7, 6/6, 500/500, etc.

<em>~Rise Above the Ordinary</em>

8 0
2 years ago
Read 2 more answers
A park district is building an outdoor tennis court based on a scale drawing that measures 30cm long by 13.75 cm and uses the sc
Yuliya22 [10]

The actual area of the tennis court is 264 m²

First use the scale to find the actual dimensions of the court:

1 cm : 0.8m

30 cm in the drawing would be:

= 0.8 x 30

= 24 m outside

13.75cm in the drawing would be:

= 0.8 x 13.75

= 11 m outside

Area of a rectangle (which is what the dimensions resemble):

= Length x width

= 24 x 11

= 264 m²

In conclusion, the area of the tennis court is 264 m²

<em>Find out more at brainly.com/question/12581267.</em>

3 0
1 year ago
You Are Planting a garden in the shape of an equilateral triangle as shown in the diagram. You want to find the area of the gard
S_A_V [24]

Answer:

Area of the garden = 16\sqrt{3} ft²

Step-by-step explanation:

Given:

Base of garden = 8 Ft

Find:

Area of the garden = ?

First, we have to find height of the triangle.

Height = \sqrt{8^2-4^2}\\\\Height = \sqrt{64-16}\\\\Height = \sqrt{48}\\\\Height = 4\sqrt{3}\\

Computation of area of the garden:

Area of the garden = 1/2 × b × h

Area of the garden = 1/2 × 8 × 4\sqrt{3}

Area of the garden = 16\sqrt{3} ft²

4 0
2 years ago
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