Answer:
1st option
Step-by-step explanation:
to find f(g(x)) substitute x = g(x) into f(x) , that is
f(g(x))
= f(4x - 5)
= 2(4x - 5) + 1 ← distribute parenthesis
= 8x - 10 + 1
= 8x - 9
180 degrees means that the new x=-x and the new y=-y so
x=3 and y=-5 is orignal
new is -3 and 5
so new oint is
A(-3,5)
If the length of a rectangle is a two-digit number with identical digits and the width is 1/10 the length and the perimeter is 2 times the area of the rectangle, what is the the length and the width
Solution:
Let the length of rectangle=x
Width of rectangle=x/10
Perimeter is 2(Length+Width)
= 2(x+x/10)
Area of Rectangle= Length* Width=x*x/10
As, Perimeter=2(Area)
So,2(x+x/10)=2(x*x/10)
Multiplying the equation with 10, we get,
2(10x+x)=2x²
Adding Like terms, 10x+x=11x
2(11x)=2x^2
22x=2x²
2x²-22x=0
2x(x-11)=0
By Zero Product property, either x=0
or, x-11=0
or, x=11
So, Width=x/10=11/10=1.1
Checking:
So, Perimeter=2(Length +Width)=2(11+1.1)=2*(12.1)=24.2
Area=Length*Width=11*1.1=12.1
Hence, Perimeter= 2 Area
As,24.2=2*12.1=24.2
So, Perimeter=2 Area
So, Answer:Length of Rectangle=11 units
Width of Rectangle=1.1 units
Answer:
![\sqrt[3]{a^{2}+b^{2}}=(a^{2}+b^{2})^{\frac{1}{3}}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7Ba%5E%7B2%7D%2Bb%5E%7B2%7D%7D%3D%28a%5E%7B2%7D%2Bb%5E%7B2%7D%29%5E%7B%5Cfrac%7B1%7D%7B3%7D%7D)
Step-by-step explanation:
∵∛x = (x)^1/3
∴
So you can replace the radicals by fractional exponents
Answer:
Option A (89).
Step-by-step explanation:
Percentile is a statistic in which the an element at a certain percentage position is determined. To calculate the percentiles accurately, it is important that the data is present in the ascending order. Percentile is an important concept in data analysis. Interestingly, 50th percentile is the median of the data. The difference between the 75th and the 25th percentile is the interquartile range. To find the 85th percentile of the data, calculate 85% of 40, which is the number of elements in the data set. 40 * 85/100 = 34. The number on the 34th position is the 85th percentile of the data. It can be observed that 89 is on the 34th position. Therefore, Option A is the answer!!!
