Big Ideas Math A Bridge To Success Algebra 2: Student Edition 2015

1st Edition

ISBN: 9781680331165

Author: HOUGHTON MIFFLIN HARCOURT

Publisher: Houghton Mifflin Harcourt

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Concept explainers

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.

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Question

Chapter 3.6, Problem 53E

(a)

To determine

If the truck will fit the tunnel.

(a)

Expert Solution

Answer to Problem 53E

The truck will fit the tunnel.

Explanation of Solution

Given information:

The given equation of the arc is:

y=−0.0625x2+1.25x+5.75

The given height of the truck:

11 feet

The given width of the truck:

7 feet

Consider the given equation of the arc is:

y=−0.0625x2+1.25x+5.75

Substitute 11 feet to find y in the above equation:

11=−0.0625x2+1.25x+5.750.0625x2−1.25x+5.25=0625x2−12500x+52500=0x2−20x+84=0(x−14)(x−6)=0

It is seen that the value of x will be in between the given interval.

Hence, the truck will fit the tunnel.

(b)

To determine

If the truck will fit the tunnel.

(b)

Expert Solution

Answer to Problem 53E

The truck of 8 feet will fit the tunnel.

Explanation of Solution

Given information:

The given equation of the arc is:

y=−0.0625x2+1.25x+5.75

The given height of the truck:

11 feet

The given width of the truck:

7 feet

Consider the given equation of the arc is:

y=−0.0625x2+1.25x+5.75

Substitute 11 feet to find y in the above equation:

11=−0.0625x2+1.25x+5.750.0625x2−1.25x+5.25=0625x2−12500x+52500=0x2−20x+84=0(x−14)(x−6)=0

It is seen that the value of x will be in between the given interval.

Subtract 6 from 14 :

14−6=8

Hence, the truck of 8 feet will fit the tunnel.

(c)

To determine

If the truck will fit the tunnel.

(c)

Expert Solution

Answer to Problem 53E

The truck of 8 feet will fit the tunnel.

Explanation of Solution

Given information:

The given equation of the arc is:

y=−0.0625x2+1.25x+5.75

The given height of the truck:

11 feet

The given width of the truck:

7 feet

Consider the given equation of the arc is:

y=−0.0625x2+1.25x+5.75

Substitute 7 feet to find y in the above equation:

y=−0.0625×72+1.25×7+5.75y=−0.0625×49+1.25×7+5.75y=11.44

Hence, the height of the truck is of 11.44 feet

Chapter 3.6, Problem 52E

Chapter 3.6, Problem 54E

Chapter 3 Solutions

Big Ideas Math A Bridge To Success Algebra 2: Student Edition 2015

Ch. 3.1 - Prob. 1E Ch. 3.1 - Prob. 2E Ch. 3.1 - Prob. 3E Ch. 3.1 - Prob. 4E Ch. 3.1 - Prob. 5E Ch. 3.1 - Prob. 6E Ch. 3.1 - Prob. 7E Ch. 3.1 - Prob. 8E Ch. 3.1 - Prob. 9E Ch. 3.1 - Prob. 10E

Ch. 3.1 - Prob. 11E Ch. 3.1 - Prob. 12E Ch. 3.1 - Prob. 13E Ch. 3.1 - Prob. 14E Ch. 3.1 - Prob. 15E Ch. 3.1 - Prob. 16E Ch. 3.1 - Prob. 17E Ch. 3.1 - Prob. 18E Ch. 3.1 - Prob. 19E Ch. 3.1 - Prob. 20E Ch. 3.1 - Prob. 21E Ch. 3.1 - Prob. 22E Ch. 3.1 - Prob. 23E Ch. 3.1 - Prob. 24E Ch. 3.1 - Prob. 25E Ch. 3.1 - Prob. 26E Ch. 3.1 - Prob. 27E Ch. 3.1 - Prob. 28E Ch. 3.1 - Prob. 29E Ch. 3.1 - Prob. 30E Ch. 3.1 - Prob. 31E Ch. 3.1 - Prob. 32E Ch. 3.1 - Prob. 33E Ch. 3.1 - Prob. 34E Ch. 3.1 - Prob. 35E Ch. 3.1 - Prob. 36E Ch. 3.1 - Prob. 37E Ch. 3.1 - Prob. 38E Ch. 3.1 - Prob. 39E Ch. 3.1 - Prob. 40E Ch. 3.1 - Prob. 41E Ch. 3.1 - Prob. 42E Ch. 3.1 - Prob. 43E Ch. 3.1 - Prob. 44E Ch. 3.1 - Prob. 45E Ch. 3.1 - Prob. 46E Ch. 3.1 - Prob. 47E Ch. 3.1 - Prob. 48E Ch. 3.1 - Prob. 49E Ch. 3.1 - Prob. 50E Ch. 3.1 - Prob. 51E Ch. 3.1 - Prob. 52E Ch. 3.1 - Prob. 53E Ch. 3.1 - Prob. 54E Ch. 3.1 - Prob. 55E Ch. 3.1 - Prob. 56E Ch. 3.1 - Prob. 57E Ch. 3.1 - Prob. 58E Ch. 3.1 - Prob. 59E Ch. 3.1 - Prob. 60E Ch. 3.1 - 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