<h2><u>
Answer:</u></h2>
The <u>algebraic expressions</u> are composed of several elements: Terms, Coefficients, Signs, Variables and Exponents. In this case we will focus on the first two.
<u>The terms</u> are composed of sign, coefficient, variable and exponent. The terms are separated from each other by the plus sign (+) or the minus sign (-).
For example, in the following expression:
2x-3x
We have two terms separated by the negative sign (-):
2x is the first term
-3x is the second term
Now, <u>the coefficients</u> are the numbers that multiply the variable. <u>Note that if this coefficient is one (1) it is omitted
.</u>
For example in the following expression, the variable is x:
2x-3x+x
2 is the coefficient of x in the first term
-3 is the coefficient of x in the second term
1 is the coefficient of x in the third term, <u>but is omitted
</u>
In order to understand this in a better way, see the figure attached, where the algebraic expression is composed by one term.
Answer:
- 8 and 4: A
- 8 and 6: C
- 8 and 10: B
Step-by-step explanation:
<u>8 and 4:</u>
Multiples of 8: 8, 16, 24
Multiples of 4: 4, 8, 12, 16
<u>8 and 6:</u>
Multiples of 8: 8, 16, 24
Multiples of 6: 6, 12, 18, 24
<u>8</u><u> </u><u>and</u><u> </u><u>10</u><u>:</u>
Multiples of 8: 8, 16, 24, 32, 40
Multiples of 10: 10, 20, 30, 40
What we know:
quotient 9.2 x 10^6/ 2.3 x 10²
in quotients exponents are subtracted of they have the same base, for example 10^6 and 10² have the same base of 10
What we need to find: quotient 9.2 x 10^6/ 2.3 x 10²
9.2 x 10^6
-------------- = 4 x 10^4
2.3 x 10²
Here in this problem I divided 9.2 by 2.3 and got 4, since the solution was simple and clean meaning no repeated decimals I went ahead and divided the 10^6 by 10^2 and got 10^4.
Another method would be to expand both numbers then divide and do scientific notation again.
Remember to change to normal notation you move the decimal to the right using the number of the exponent.
9.2 x 10^6= 9200000
2.3 x 10²= 230
920000/230=40000
40000= 4 x 10^4 scientific notation
Use the method that is best for you or just know you can use either method to check your work.
Answer:
4x+4y=$40 4 pins and 4 rings
Step-by-step explanation:
Making a table is the easiest for this equation.
6/4=10
12/8=20
18/12=30
24/16=40
Answer:
2x^2 - 12x + 16
Step-by-step explanation:
