Answer:
Scientific Notation : 3.456 × 10^3
(x2 – 3x) + (–2x2 + 5x – 3)
Answer:
Step-by-step explanation:
The given polynomial expression is
We regroup the terms in the polynomial to obtain;
We combine like terms to get;
When we arrange the terms in the polynomial in descending powers of x, then we say it is in standard form.
The simplified polynomial in standard form is
Answer:
an=7.35+ 0.33(n-1)
Step-by-step explanation:
The relationship between women's whole-number shoe sizes and foot lengths is an arithmetic sequence, where an is the foot length in inches that corresponds to a shoe size of n.
We are given values for n=7 and n=12 as a7=9.33 and a12=11
So, we proceed from the options and check which an satisfies these values:
an = 7.35 + 0.33(n-1)
when n = 7:
an = 7.35 + 0.33 (7-1)
an = 9.33
when n = 12:
an = 7.35 + 0.33 (12-1)
an = 10.98≈11
Hence, correct option is:
an=7.35+ 0.33(n-1)
Answer:
D
Step-by-step explanation:
= (4+3)a²b+(-3+6)ab2-2a²b2
= 7a+b+3ab2-2a²b2
Answer:
Step-by-step explanation:
6ab²+4a²b-3ab²+3a²b-2a²b²
= 4a²b+3a²b-3ab²+6ab²-2a²b² . . . commutative property of addition (twice)
= (4+3)a²b+(-3+6)ab²-2a²b² . . . . . . distributive property (twice)
= 7a²b+3ab²-2a²b²
_____
We have attempted to correct what we perceive to be typographical errors in the presentation of the problem. As written, you can't get to the second expression from the first, and the first expression doesn't match what you say you're trying to simplify.
Answer:
The solution of the system of the equation is (2, 2)
Step-by-step explanation:
Let us solve the system of equations
∵ 3x + y = 8 ⇒ (1)
∵ 3x - y = 4 ⇒ (2)
→ Add equations (1) and (2) to eliminate y
∴ (3x + 3x) + (y + -y) = (8 + 4)
∴ 6x + 0 = 12
∴ 6x = 12
→ Divide both sides by 6 to find x
∵
∴ x = 2
→ Substitute the value of x in equation (1) to find y
∵ 3(2) + y = 8
∴ 6 + y = 8
→ Subtract 6 from both sides
∵ 6 - 6 + y = 8 - 6
∴ y = 2
∴ The solution of the system of the equation is (2, 2)