Answer:
The remainder is the number that is left over after dividing. It is always less than the divisor. The remainder is an essential part of the answer and is shown in the quotient preceded by the letter R.
Step-by-step explanation:
Answer:
#3
Step-by-step explanation:
from the formula given, the part "(1.025)" would be the growth factor or rate.
This part has a formula:
(1 + r)
where r is rate
So substituting, we get:
![1.025 = 1 + r\\1.025 - 1 = r\\r = 0.025](https://tex.z-dn.net/?f=1.025%20%3D%201%20%2B%20r%5C%5C1.025%20-%201%20%3D%20r%5C%5Cr%20%3D%200.025)
So, in pecentage, we have to multiply, thus we get:
0.025 * 100 = 2.5%
Answer choice #3
Answer:
y ≥ 2
Step-by-step explanation:
The range is all of the values that f(x) can have. In order to find the range, let's first find the vertex. That's pretty easy to do since f(x) is already written in vertex notation (vertex notation is f(x) = a(x - c)² + d where (c, d) is the vertex). Since c = -5 and d = 2, the vertex is (-5, 2). Because the value of a is positive (a = 3 in this case, which is positive) we know that the parabola opens upward, therefore the vertex is the minimum. This means that the y-coordinate of the vertex is the smallest possible y-value of the function, therefore, since the y-coordinate of the vertex is 2, the range is y ≥ 2. Note that we use ≥ and not >, this is because y can be 2, therefore, it is included in the solution set.
Katie's hair is (17x/4 +3) inches long when she leaves the barber shop.
According to the question,
We have the following information:
Katie’s hair is 4 ½ x + 1 inches long.
The barber cuts ¼ x – 2 inches off her hair.
Now, the remaining length of her hair will be obtained by subtracting the length of hair cut from the original length.
So, we have the following expression:
(
)-(x/4-2)
9x/2+1-x/4+2
9x/2-x/4+3
Taking 4 as the least common factor:
18x-x+12/4
17x+12/4
17x/4 + 12/4
17x/4 + 3 inches
Hence, Katie's hair is (17x/4 +3) inches long when she leaves the barber shop.
To know more about Katie's hair here
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It's not possible for the smaller number to be larger than the larger number when multiplied by the same value. Is this stated correctly?
1 3 5
2 * 1 = 2
2 * 5 = 10
the smaller number cannot exceed the larger number.