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2 years ago

Which graph represents y = root(3, x) + 2 ?

Mathematics

1 answer:

iogann1982 [59]2 years ago

7 0

Using translation concepts, the graph that represents $y = \sqrt[3]{x} + 2$ is given at the end of the question.

<h3>What is a translation?</h3>

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.

$y = \sqrt[3]{x} + 2$ is a shift up of 2 units of $y = \sqrt[3]{x}$ , hence the graph is given at the end of this question.

More can be learned about translation concepts at brainly.com/question/4521517

#SPJ1

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As part of an annual fundraiser to help raise money for diabetes research, Diane joined a bikeathon. The track she biked on was

Lyrx [107]

Answer:

$38.5\,\text{laps}\times\dfrac{1920\,\text{yd}}{1\,\text{lap}}\times\dfrac{3\,\text{ft}}{1\,\text{yd}}\times\dfrac{1\,\text{mi}}{5280\,\text{ft}}$
42 miles

Step-by-step explanation:

You know that fractions with the same value in numerator and denominator reduce to 1. This is true whether the value is a number, a variable expression, or some mix of those. That is ...

$\dfrac{1760}{1760}=1\\\\\dfrac{3\,\text{mi}}{1\,\text{mi}}=\dfrac{3}{1}\cdot\dfrac{\text{mi}}{\text{mi}}=3$

This example should show you that you can treat units as if they were a variable.

So, the unit conversion process is the process of choosing combinations of numerator and denominator units so that all the units you don't want cancel, leaving only units you do want.

You're starting with a number than has "laps" in the numerator. To cancel that, you need to find a conversion factor with "lap" in the denominator. On the list you are given, the one that has that is ...

$\dfrac{1920\,\text{yd}}{1\,\text{lap}}$

Now, you have canceled laps, but you have yards. Also on your list of conversion factors is a ratio with yards in the denominator:

$\dfrac{3\,\text{ft}}{1\,\text{yd}}$

This will cancel the yards in the numerator from the previous result, but will give you feet in the numerator. You want miles, so you look for a conversion factor between feet and miles, with miles in the numerator. The one you find is ...

$\dfrac{1\,\text{mi}}{5280\,\text{ft}}$

These three conversion factors go into the blanks. When you form the product, you will get ...

$\dfrac{38.5\cdot 1920\cdot 3}{1\cdot 1\cdot 5280}\cdot\dfrac{\text{laps$\cdot$yd$\cdot$ft$\cdot$mi}}{\text{lap$\cdot$yd$\cdot$ft}}=42\,\text{mi}$

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4 years ago

What decimal ia equivalent to 5%

docker41 [41]

The decimal equivalent is 0.05

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3 years ago

Read 2 more answers

Kristen and her two friends are sharing the cost of a funnel cake. The funnel cake costs $5.49. If Kristen has $2.00, how much w

NARA [144]

Kristen will have .17 cents after she pays her share.

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4 years ago

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Given: △ABC, BC>AC, D∈ AC , CD=CB Prove: m∠ABD is acute

nevsk [136]

I want you to imagine as you read this or you can draw through the help of my explanation and see yourself:

1↪Draw triangle ABC where BC>AC

2↪D is any point on AC such that CD=CB

3↪Roughly drawing , you can assume CD=CB and and join BD

4↪SO triangle ABC which is a big triangle is divided into Triangles ABD and BDC

5↪See in triangle BDC ,CD=CB so, base angles of isosceles triangle are equal:
<CDB=<CBD = x (assume) which means x is acute angle since CDB and CBD are are in same triangle with same measure and there can't be any two obtuse angle in any traingle. So x must be acute.

6↪Now see in traingle ABD,

<ADB=180-<CDB=180-x=obtuse angle
...check yourself ...just subtract any acute angle from 180 you will get only obtuse angle (ie angle greater than 90)
That means in triangle ABD , one angle ADB is obtuse which means remaining <ABD and < BAD are acute. [PROVED]

❇Main Concept Used Here:
↪In any triangle there can be maximum of one obtuse angle...so remaining two must be acute angle otherwise interior angles sum can't be equal to 180.

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3 years ago

The bike you have been saving for is discounted 25%. You have $600 saved to purchase it. The original, non-discounted price of t

FrozenT [24]

Answer:

Step-by-step explanation:

find discounted price

675*0.25=168.75

675-168.75=506.25

then add tax

506.25*1.0577=535.46(rounded)

600-535.46=64.54

3 0

3 years ago