Answer:
Step-by-step explanation:
7x - 15 = 4x - 12
3x - 15 = -12
3x = 3
x = 1
y = 7(1) - 15
y = 7 - 15
y = -8
(1, -8)
The domain is all the x-values you can use with this function. When dealing with a function like this, you need to ask yourself, what would make the bottom equal to 0? Whatever those numbers are, you do NOT want them in your domain.
A fundamental rule is that you cannot divide by 0 or have 0 as a denominator.
So, you solve x^2+6x=0 to find that x=0 or x=-6 would make the denominator 0.
The domain is everything BUT those two values, because they essentially break your function.
Answer:
2 packets of chocolates
Step-by-step explanation:
Find how many packets of chocolates they made by dividing 1/3 by 1/6:
1/3 / 1/6
= 1/3 x 6
= 2
So, the factory made 2 packets of chocolates
Answer:
88
Step-by-step explanation:
The triangles are congruent. Also, a triangle has a sum of 180 degrees for its interior angles.
Angles D and A are both unknown.
Angles O and P are both 55.
Angles G and W are both 37.
37+55 = 92
That means there would be 88 degrees left for the unknown angle to get to the total of 180 degrees.
92 + 88 = 180
2 consecutive integers : x and x + 1
x + x + 1 = 183
2x + 1 = 183
2x = 183 - 1
2x = 182
x = 182/2
x = 91
x + 1 = 91 + 1 = 92
ur 2 numbers are 91 and 92 with 91 being the smallest integer