Answer:
8-10 feet
Step-by-step explanation:
If the length of the carpet is two more than the width, the width can be expressed as x and the length can be expressed as x+2. This means that the area(x^2+2x) must be greater than 48 but no less than 80.
Now we can solve for both the maximum and minimum cases:
x^2+2x=48, x^2+2x-48=0, now we can factor, (x+8)(x-6)=0, and now we can use the Zero Product Property to find x=-8;x=6. Since we cant have negative width, x at least has to be equal to 6.
x^2+2x=80,x^2+2x-80=0, now we can factor, (x+10)(x-8), and now using the Zero Product Property to find x=-10;x=8, and since it must be positive, at most x can equal 8.
Now since the length is two more than the width, x, you add two to both of these values and get a range of 8-10 feet.
Answer:
Angle 5, 4, and 7.
Step-by-step explanation:
Angle 2 is vertical to angle 5, making them congruent.
Angle 2 corresponds with angle 4, making them congruent.
Angle 2 is an alternate interior to angle 7, making them congruent.
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The rest of the angles just combine with angle two to make 180.
Answer:
3/8 of the total distance.
Step-by-step explanation:
After Saturday = 8/8 - 3/8 = 5/8 of distance left.
Sunday = 5/8 x 3/5 = 3/8 distance.
Hope this helps!
Answer:
$50.1
Step-by-step explanation:
If you plug 40 in for x in the equation y=0.94x+12.5 then you should get 50.1 for y.
Answer:
only A
Step-by-step explanation:
A is correct because if a number is less than 7, the number under the square root will be negative, and that will yield an imaginary (or non-real number)
B is incorrect because even if you choose a number less than 7, the result will still yield a real number
C is incorrect due to the same logic as B
D is incorrect because you can take the cube root of a negative number without it being non-real.
