What's is algebra in mathematics

1 answer:

5 0

Algebra is the part of mathematics in which letters and other general symbols are used to represent numbers and quantities in formula and equations.

Equation examples:

· Slope intercept form: y = mx+b, where m is the slope and b is the y-intercept.

· Point slope form: y - k = m(x - h)

· Pythagorean theorem: a² + b² = c²

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Determine by checking the group axiom (Associativity) whether this set is a group:

slavikrds [6]

Let x, y, z ∈ C, the set of complex numbers.

By definition of ○,

(x ○ y) ○ z = (x + y - 2i) ○ z

… = (x + y - 2i) + z - 2i

… = x + y + z - 4i

and

x ○ (y ○ z) = x ○ (y + z - 2i)

… = x + (y + z - 2i) - 2i

… = x + y + z - 4i

so (x ○ y) ○ z = x ○ (y ○ z), which means ○ is indeed associative under C.

7 0

3 years ago

Imani spent half of her weekly allowance playing mini-golf. To earn more money, her parents let her wash the car for $4. What is

joja [24]

Answer:

$16

Step-by-step explanation:

This method is probbaly working backwards. I'm not sure.

12 - 4 = 8 (How much she was left with if she didn't wash the car for 4 dollars)

8 x 2 = 16 (They mentioned she spent half of her weekly allowance)

6 0

3 years ago

You have two jobs. One job pays $7 per hour and the other pays $8.25 per hour. You worked 22 hours total last week and earned $1

il63 [147K]

X = 1st job
y = 2nd job

x + y = 22......x = 22 - y
7x + 8.25y = 171.50

7(22 - y ) + 8.25y = 171.50
154 - 7y + 8.25y = 171.50
-7y + 8.25y = 171.50 - 154
1.25y = 17.50
y = 17.50 / 1.25
y = 14 <== 14 hrs at the 8.25 per hr job

x + y = 22
x + 14 = 22
x = 22 - 14
x = 8 <=== 8 hrs at the 7 per hr job

8 0

3 years ago

If the sales tax rate is 8%, how much tax would Luis pay for a pair of pants for $18 and two shirts for $9.99 each?

dlinn [17]

Answer:

$3.04 (rounded to nearest cent)

Step-by-step explanation:

Total cost without tax = $18 + $9.99 × 2

= $37.98

Tax = $\frac{8}{100}$ × $37.98