What are the coefficients in the polynomial 7x^2-4x+6
The coefficients in the polynomial 7x^2-4x+6 are 7, -4, and 6.
Add or subtract. (m^2-m-3)+(m-4)
To add or subtract these polynomials, we first need to combine like terms.
(m^2-m-3)+(m-4) = m^2 - m + m - 3 - 4
= m^2 - 7
Therefore, (m^2-m-3)+(m-4) simplifies to m^2 - 7.
Which ratios are equivalent?
A 9/12, 3/4
B 10/12, 5/7
C 1/5, 12/151/5,
D 6/8, 2/3
Ratio A is equivalent to ratio B because:
9/12 = (9 ÷ 3)/(12 ÷ 3) = 3/4
And
10/12 = (10 ÷ 2)/(12 ÷ 2) = 5/6
Ratio D is equivalent to ratio A because:
6/8 = (6 ÷ 2)/(8 ÷ 2) = 3/4
Therefore, the equivalent ratios are A and B, and A and D.
Which ratios are equivalent?
9/12, 3/4
10/12, 5/7
1/5, 12/151/5,
6/8, 2/3
one answer only
It is not possible to choose only one answer because there are two pairs of ratios that are equivalent:
- Ratio A (9/12, 3/4) is equivalent to ratio D (6/8, 2/3)
- Ratio B (10/12, 5/6) reduces to the same simplified fraction as ratio A: 5/6 = 15/20 = 9/12 = 3/4
Therefore, the equivalent ratios are A and B, as well as A and D.
is 1/5 12/15 equivalent
is 9/12, 3/4 equivalent
is 1/5, 12/15 equivalent
is 6/8, 2/3 equivalent
Yes, 1/5 and 12/15 are equivalent ratios because they simplify to the same fraction:
1/5 = (1 ÷ 1)/(5 ÷ 1) = 3/15
And
12/15 = (12 ÷ 3)/(15 ÷ 3) = 4/5
Yes, 9/12 and 3/4 are equivalent ratios because they simplify to the same fraction:
9/12 = (9 ÷ 3)/(12 ÷ 3) = 3/4
Yes, 1/5 and 12/15 are equivalent ratios because they simplify to the same fraction:
1/5 = (1 ÷ 1)/(5 ÷ 1) = 3/15
And
12/15 = (12 ÷ 3)/(15 ÷ 3) = 4/5
Yes, 6/8 and 2/3 are equivalent ratios because they simplify to the same fraction:
6/8 = (6 ÷ 2)/(8 ÷ 2) = 3/4
And
2/3 = (2 ÷ 1)/(3 ÷ 1) = 6/9 = 2/3