<h3>
Answer: -28 and -4</h3>
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Explanation:
Let x and y be the two integers such that |x| > |y|. This is another way of saying that x is further away from 0 compared to y.
Their quotient being 7 means x/y = 7 which rearranges to x = 7y
The sum of the integers is -32 which allows us to say....
x+y = -32
7y+y = -32
8y = -32
y = -32/8
y = -4
Use this y value to find x
x = 7y
x = 7*(-4)
x = -28
The two integers are -28 and -4.
Answer: a) h = 2
b) a = 
k = 
<u>Step-by-step explanation:</u>
The vertex form of a quadratic equation is: y = a(x - h)² + k where
- a is the vertical stretch
- (h, k) is the vertex
The graph shows the axis of symmetry at x = 2, therefore, the x-coordinate of the vertex (h) is 2.
Two points are given: 
. We can use these points to create two equations and then solve the system to find the a and k-values.
y = a(x - 2)² + k
Solve for k:
94 is not a prime number. Because you have a "4" at the end of 94 that means that it is divisible by 2. 2 x 47 is 94. Because it has factors more than one and itself, it has to be a composite number
Let O be the amount of orange juice and W be the amount of water.
A)
O = 0.8W
B)
W = 1, so:
O = 0.8(1)
O = 0.8 Liters
