Answer:
Step-by-step explanation:
The first function is 
The second function is 
.
We perform the long division as shown in the attachment to obtain the quotient as: 
and remainder 
.
Therefore:
where 
Answer:
Answer: 67 ≤ x ≤ 73 Step-by-step explanation: Given inequality is: |x − 70| ≤ 3 We have to find the value of x. If |x| ≤ a then x ≤ a and x ≥ -a . Applying this rule to given inequality,we get x - 70 ≤ 3 and x - 70 ≥ -3 Adding 70 to both sides of above both inequality,we get x-70+70 ≤ 3+70 and x-70+70 ≥ -3+70 Adding like terms,we get x ≤ 73 and x ≥ 67 Combining above two inequalities ,we get 67 ≤ x ≤ 73 which is the answer.
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1. first parabola is up, so a are going to be positive
y = a(x-r)(x-s),
roots -7,-3, so we can write y=a(x+7)(x+3) [1]
we can take point (-5,-2), substitute into equation [1], and find value of a
-2=a(-5+7)(-5+3)
-2=a*2*(-2)
a=1/2
so first parabola has an equation
y=1/2(x+7)(x+3)
2. second parabola
y=a(x-r)(x-s) roots are 2 and 4 so we ca write
y=a(x-2)(x-4) take point (3,4) and substitute into this equation
4 =a(3-2)(3-4)
4=-a
a=-4, and it will look down
y=-4(x-2)(x-4)
Each square is 3 by 3, so the area is 3*3 = 9. We can leave it as 3*3 since that's what the answer choices show.
There are 6 of these squares, so the total area of this figure is 6*3*3
The total area of the net is the same as the total surface area when we fold along the lines to form a 3D cube
Final Answer: 6 x 3 x 3 square inches which is choice D
Answer:
The numbers are either {-3, -2, -1} or {7, 8, 9}.
Step-by-step explanation:
Let the smallest integer be represented by x. The middle number is x+1, and the largest number is x+2.
The product of the smaller and larger number is (x)(x+2).
15 more than 6 times the middle number is 6(x+1)+15.
(x)(x+2)=6(x+1)+15
x^2+2x=6x+6+15
x^2+2x=6x+21
x^2-4x-21=0
(x-7)(x+3)=0
x=-3 or x=7
The numbers are either {-3, -2, -1} or {7, 8, 9}.
