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iren [92.7K]
1 year ago
7

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’ve learned so far?
Mathematics
1 answer:
eduard1 year ago
7 0

The foundational concept of algebra is to use the alphabetical letters to find the unknown number.

Algebra is the concept that uses the alphabetical letters such as x, y, z, etc. to calculate the unknow numbers. here the letters are also called as variables. The values that are known in the expression as termed as constants.

The general operations performed on the algebra is

  • Addition = x + y
  • Subtraction = x - y
  • Multiplication = x * y
  • Division = x / y

Here the alphabets x and y are called variables.

Order of operations:

The order of operation in algebra is given as follows

  • Perform all the operations inside the brackets
  • Perform the operations on roots and exponents
  • Perform all the division and multiplication operations moving from left to right
  • Perform all the addition and subtraction operations from left to right.

To know mire about Algebra here

brainly.com/question/953809

#SPJ4

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A table contains the ordered pairs (3, 42.25) and (5, 50.75). If the relationship in the table is linear, explain how to find th
Basile [38]

Answer:

The linear relationship ( the linear equation ):

y = m x + b ( the slope-intercept form )

m = ( 50.75 - 42.25 ) / ( 5 - 3 ) = 8.50 / 2 = 4.25 ( the slope )

42.25 = 4.25 * 3 + b

b = 42.25 - 12.75

b = 29.50

y = 4.25 * x + 29.50

Answer:

The initial value is : ( 0,  29.50 ) or 29.50.

5 0
3 years ago
Read 2 more answers
in a certain town there are 30000 registered voters, of whom 12000 are Democrats. A survey organization is about to take a simpl
mario62 [17]

Answer:

400.

Step-by-step explanation:

The following data were obtained from the question:

Total number of Registered voters = 30000

Total number of Democrats = 12000

Next, we shall determine the percentage of Democrats in the registered voters.

This can be obtained as follow:

Percentage of Democrats = number of Democrats / Total number of registered voters x 100

Percentage of Democrats = 12000/30000 x 100

Percentage of Democrats = 40%

Now, we can obtain the expected value of percentage of Democrats in the 1000 sample as follow:

Percentage of Democrats = 40%

Total number of Sample = 1000

Number of Democrats in the sampl=..?

Percentage of Democrats = number of Democrats in sample / Total number of sample x 100

40% = number of Democrats in sample/1000

Cross multiply

Number of Democrats in sample

= 40% x 1000

= 40/100 x 1000

= 400

Therefore, the expected number of Democrats in the sample is 400.

4 0
3 years ago
Find the magnitude and direction in degrees of the vector v=6i+2 seq31​
masha68 [24]

Answer:

Please check the explanation.

Step-by-step explanation:

Given the vector

v = 6i + 2√3j

The Magnitude of a vector:

\mathrm{Computing\:the\:Euclidean\:Length\:of\:a\:vector}:\quad \left|\left(x_1\:,\:\:\ldots \:,\:\:x_n\right)\right|=\sqrt{\sum _{i=1}^n\left|x_i\right|^2}

=\sqrt{6^2+\left(2\sqrt{3}\right)^2}

=\sqrt{36+12}

=\sqrt{48}

\mathrm{Apply\:radical\:rule}:\quad \sqrt[n]{ab}=\sqrt[n]{a}\sqrt[n]{b}

=\sqrt{3}\sqrt{2^4}

=4\sqrt{3}

The Direction of a vector:

tan Ф = y/x

y=2√3

x = 6

tan Ф = y/x

          = 2√3 / 6

           = √3 / 3                  

\theta \:=tan\:^{-1}\left(\frac{\sqrt{3}}{3}\right)

\:\theta \:=\frac{\pi \:}{6}=30^{\circ \:}

6 0
2 years ago
One side if the labtop is 9.5 inches and the other side is 14 inches. Using the Pythagorean Theron, what is the length of the di
Digiron [165]

(side 1)² + (side 2)² = (diagonal)²

(9.5² + (14)² = (diagonal)²

90.25 + 196 = (diagonal)²

286.25 = (diagonal)²

√286.25 = √(diagonal)²

17 = diagonal

Answer: 17 inches

3 0
3 years ago
Petra jogs 3 miles in 30 minutes. At this rate, how long would it take her to jog 7 miles?
NikAS [45]
30 minutes / 3 miles = 10 minutes for 1 mile

7 miles * 10 minutes per mile = 70 minutes total to run 7 miles
8 0
2 years ago
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