Answer:
Step-by-step explanation:
Question One
Multiply through by 2
2*1/2 * (2x + y ) = 21/2 * 2
Combine
2x + y = 21
Subtract 2x from both sides
y = 21 - 2x
Now equate the two given equations
y = 21 - 2x
y = 2x
Add 2x to both sides
2x = 21 - 2x
2x + 2x = 21
4x = 21
x = 21/4
x = 5 1/4
or
x = 5.25
Question 2
multiply numerator and denominator of the second fraction by (x + 2)
Remove the numerator brackets in the right hand fraction. Look out for the minus sign.
Answer:
x = (-19)/3
Step-by-step explanation:
Solve for x:
10 - 2 x + 5 (x + 4) + 3 (2 x + 9) = 0
5 (x + 4) = 5 x + 20:
10 - 2 x + 5 x + 20 + 3 (2 x + 9) = 0
3 (2 x + 9) = 6 x + 27:
6 x + 27 + 5 x - 2 x + 10 + 20 = 0
Grouping like terms, 6 x + 5 x - 2 x + 10 + 20 + 27 = (-2 x + 5 x + 6 x) + (10 + 20 + 27):
(-2 x + 5 x + 6 x) + (10 + 20 + 27) = 0
-2 x + 5 x + 6 x = 9 x:
9 x + (10 + 20 + 27) = 0
10 + 20 + 27 = 57:
9 x + 57 = 0
Subtract 57 from both sides:
9 x + (57 - 57) = -57
57 - 57 = 0:
9 x = -57
Divide both sides of 9 x = -57 by 9:
(9 x)/9 = (-57)/9
9/9 = 1:
x = (-57)/9
The gcd of 57 and 9 is 3, so (-57)/9 = (-(3×19))/(3×3) = 3/3×(-19)/3 = (-19)/3:
Answer: x = (-19)/3
4 * 2 * 2 * 2 = 32 bacteria
Hope it helps!
The answer is D because -14.6 is the least and is the only one that has -14.6 first.
Using the cosine rule, a² = b² + c² -2 bc cos θSImplifying the equation in terms of cos theta,
cos(θ) = (a² + c² - b²)/(2bc)
(a² + c² - b²)/(2bc) > 0 a² + c² - b² > 0
assuming b and c are non zeros, the resulting inequality should be
a² + c² > b²
THe appicable inequality is a
