Answer:
(1,1)(3,-2)
Step-by-step explanation:
a hope this answer helping you
Answer:
27
Step-by-step explanation:
The ratio of yellow : purple = 5 : 4 = 5x : 4x ( x is a multiplier )
After Alice eats 3 purple sweets, then ratio is
5 : 3 = 5x : 4x - 3
Express the ratio in fractional form, that is
= ( cross- multiply )
5(4x - 3) = 15x
20x - 15 = 15x ( subtract 15x from both sides )
5x - 15 = 0 ( add 15 to both sides )
5x = 15 ( divide both sides by 5 )
x = 3
Then
number of sweets at beginning = 5x + 4x = 9x = 9(3) = 27
Answer:
x = -7 or x = 1
Step-by-step explanation:
Given expression:
(x + 3)² = -16
Problem;
Solve for x;
Solution:
To solve for x; we use the factorization method;
Take -16 to the left of the equation;
(x + 3)² = -16
(x + 3)² + 16 = 0
(x+ 3)² + 4² = 0
if x² + y² = (x + y)(x - y)
So;
(x + 3 + 4) (x + 3 - 4) = 0
(x + 7)(x - 1) = 0
x + 7 = 0 or x - 1 = 0
x = -7 or x = 1
Answer:
Step-by-step explanation:
g^2 - g - 6 = 0 can be factored as such:
g^2 + 2g - 3g - 6 = 0
g(g + 2) - 3(g + 2) = 0
(g - 3) (g + 2) = 0
g = 3, -2
Because g must be less than 0, 3, a positive number greater than 0, cannot be used to solve "-3g". So instead we use the other solution, -2:
-3(-2) = 6, the value of -3g.
Check:
(-2)^2 - (-2) - 6 = 0
(-2)^2 - (-2) = 6
4 - (-2) = 6
4 + 2 = 6
Answer:
4/9
Step-by-step explanation:
2/3
-------------
3/2
Multiply the top and bottom by 2*3
2/3 * 2*3
-------------
3/2 * 2*3
Cancel
2*2
---------
3*3
4/9