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3 years ago

Write an equation to represent the following: Three consecutive integers add up to 11 more than the smallest.

Mathematics

1 answer:

mr Goodwill [35]3 years ago

5 0

Answer:

Step-by-step explanation:

First we have to assume the smallest integer.

Let,

the smallest integer is x

So, the other two integers are-

x+1 and x+2

Now,

the sum of these 3 integers is greater than smallest integer by 11

So, we get

x+(x+1)+(x+2) =x+11

This is the required equation.

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Answer:

$\sqrt{10}$

Step-by-step explanation:

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3 years ago

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Which product describes the number 4.8?

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B) 6 x 0.8

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3 years ago

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3 years ago

4. The cube root parent function is vertically stretched by a factor of 3, reflected in the x-axis,

Mademuasel [1]

Using translation concepts, it is found that the equation that represents the new function is:

$y = -3\sqrt[3]{x} - 8$

The cube root parent function is given by:

$y = \sqrt[3]{x}$

<h3>Translation:</h3>

The function goes through these following translations:

Vertically stretched by a factor of 3, that is, it is multiplied by 3, hence $y = 3\sqrt[3]{x}$ .

Reflected over the x-axis, that is, it is multiplied by -1, hence $y = -3\sqrt[3]{x}$ .

Translated 8 units down, that is, 8 is subtracted from the function, hence $y = -3\sqrt[3]{x} - 8$ .

Then, the equation is:

$y = -3\sqrt[3]{x} - 8$

To learn more about translation concepts, you can take a look at brainly.com/question/13671886

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2 years ago

Use the diagram to answer each part of the question. The image is not drawn to scale.

Mnenie [13.5K]

The height of the tree and the building are 7.6 m and 28.6 m respectively.

<h3>What is an equation?</h3>

An equation is an expression that shows the relationship between two or more variables and numbers.

Two triangles are similar if they have the same shape and the ratio of their corresponding sides are in the same proportion.

Triangle BGD, CHD and AFD are similar triangles.

CH = 1.6, DH = 8, GH = 30, GF = 105

FH = GF + GH = 105 + 30 = 135

FD = FH + DH = 135 + 8 = 143; GD = 30 + 8 = 38

Hence, using similar triangles:

BG/CH = GD / DH

BG / 1.6 = 38/8

BG = 7.6 m

Also:

building/CH = DF / DH

building / 1.6 = 143/8

building = 28.6 m

The height of the tree and the building are 7.6 m and 28.6 m respectively.

Find out more on equation at: brainly.com/question/2972832

#SPJ1

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1 year ago