Answer:
3) girls = 24% = 456
let the total number of students be = x



the total number of students is 1900
4) increase = 20%
new salary = 24000 rupees
let his original salary be = y






his original salary is 20,000 rupees
Point slope form = y - b= m ( x - a )
where y and x stay the same
m is the slope
and (a, b) (any coordinate on the graph)
based on the point (5, -7)
Y - (-7) = -3 (x - 5)
however, the - cancels out the negative 7 making I positive
Y + 7 = -3(x - 5)
Answer:- The functions f(x) and g(x) are equivalent.
Explanation:-
Given functions:-
and ![g(x)=\sqrt[3]{64^x }](https://tex.z-dn.net/?f=g%28x%29%3D%5Csqrt%5B3%5D%7B64%5Ex%20%7D)
Simplify the functions by using law of exponents

Thus 
and ![g(x)=\sqrt[3]{64^x}=\sqrt[3]{(4^3)^x}= \sqrt[3]{4^{3x}}= \sqrt[3]{(4^x)^3}=4^x](https://tex.z-dn.net/?f=g%28x%29%3D%5Csqrt%5B3%5D%7B64%5Ex%7D%3D%5Csqrt%5B3%5D%7B%284%5E3%29%5Ex%7D%3D%20%5Csqrt%5B3%5D%7B4%5E%7B3x%7D%7D%3D%20%5Csqrt%5B3%5D%7B%284%5Ex%29%5E3%7D%3D4%5Ex)
⇒f(x)=g(x)
Therefore ,the functions f(x) and g(x) are equivalent.
Answer:
- quotient: 2x^2 +3x +7
- remainder: 20
Step-by-step explanation:
See the attachment.
At each step, the value being subtracted from the dividend is the product of the quotient term and the divisor. The quotient term is found by dividing the highest-degree term of the dividend by the highest degree term of the divisor (x).
When the dividend has a degree that is less than the degree of the divisor, we call that value (20) the remainder.