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Marta_Voda [28]
2 years ago
13

The most important component of a physical structure is a solid foundation on which the rest of the structure sits. A strong fou

ndation allows buildings to last longer and withstand many outside forces.
Just like the foundation of a building, a strong foundation for algebra is critical for success and allows you to extend your understanding to more complex mathematical and real-world situations. What are some of the foundational, or key, concepts of algebra that you have learned so far?
Mathematics
1 answer:
Delicious77 [7]2 years ago
6 0

Answer and explanation:

Algebra is based on the basic concept of representing figures with letters called variables that are used in finding the unknown numbers. Algebra basically goes from known to unknown in finding unknown values. For example if we know that a particular product was bought 2 times but we do not know the price at which it was bought then we could represent this value as 2a or 2p whatever letter is chosen. If we also know that the total price of what was bought is for example $50 we could then equate this value 2a to $50, 2a=$50 to find price per product =$25.

Algebras could also be in form of expression called algebraic expressions and used in equations such as the above 2a=$50. Algebraic expressions could take the form 2a+3b for example where a and b may be prices of different products bought 2 units and 3 units respectively

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A tunnel is in the shape of a parabola. The maximum height is 50 m and it is 10 m wide at the base as shown below. What is the v
LiRa [457]
Refer to the figure shown below.

Because the maximum height of the parabola is 50 m, its equation is of the form
y = ax² + 50

This equation places the vertex at (0,50). The constant a should be negative for the vertex to be the maximum of y.

The base of the parabola is 10 m wide. Therefore the x-intercepts are (5,0) and (-5,0).
Set x=5 and y=0 to obtain
a(5²) + 50 = 0
25a = -50
a = -2

The equation of the parabola is
y = - 2x² + 50

At 2 m from the edge of the tunnel, x = 5 - 2 = 3 m.
Therefore the height of the tunnel (vertical clearance) at x = 3 m is
h = y(3)
   = -2(3²) + 50
   = - 18 + 50
   = 32 m

Answer: 32 m

3 0
2 years ago
The present age of Alex is ‘y’ years. Answer the following
skelet666 [1.2K]

Answer:

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"5 + y" years old

(b) What was his age 6 years back?

"y - 6" years old

(c) His grandfather‘s age is 5 times his age, What is the age of grandfather?

"5y" years old

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5 0
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ladessa [460]

Answer: Total cost incurred on new laptop is $318.

Explanation:

Since we have given that

Cost price of new laptop = $300

Sales tax = 6%

total cost of laptop including the sales tax is given by

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so,

\text{ Cost price including the sales tax }\\\\=300\times \frac{100+6}{100}\\\\=300\times \frac{106}{100}\\\\=\$318

So, total cost incurred on new laptop is $318.

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a quarter of a book a month

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Nitrogen and oxygen are the most abundant gases in Earth’s atmosphere. A nitrogen molecule is 0.00000000003 meters larger than a
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0.00000000003 \rightarrow 3 \times 10^{-11}



\textrm {Answer:}

\bullet \textrm{The exponent is negative.}

\bullet \textrm{The exponent represents the number of places the decimal moves.}
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