Answer:
x = 
Step-by-step explanation:
Let the number be x
x + 2x² = 10
Factorize x + 2x²
x(1 + 2x) = 10
Divide both sides by (1 + 2x)
x = 
To solve this equation with algebra
4/7 = 1/x
(4/7)x = (1/x)x
4x/7 = 1
(4x/7)7 = 1(7)
4x = 7
4x/4 = 7/4
x = 1.75
1.75 yards of fabric are needed to make 1 dress.
Hope this helps! <3
Answer:
x = 8
y = 14
Step-by-step explanation:
2x + 6 = 4x - 10 (Corresponding angles so they're equal)
2x - 4x = -10 - 6
-2x = -16
x = 8
2x + 6 + 13y - 24 = 180 (Supplementary angles so they add up to 180)
2(8) + 6 + 13y - 24 = 180
16 + 6 + 13y - 24 = 180
13y - 2 = 180
13y = 182
y = 14
Answer:
g(5) = 5
Step-by-step explanation:
g(5) is really g when x=5 so we have to use the function g(x) when x≥2
g(5) = 2x-5 when x=5
g(5) = 2*5 -5 = 10-5 = 5
Answer:
0 and yes
Step-by-step explanation:
Let a=6m where m is any integer since a is divisible by 6. (a+12)/3=(6m+12)/3=2m+4 which is also an integer. The remainder is 0.
Since n is divisible by 3, n can be written as 3a, where a is any integer and m can be written as 2b, where b is any integer. n*m+12=6ab+12 which is divisible by 2.