Let's solve your system by substitution.
y=2x+1;y=4x−1
Step: Solve y=2x+1for y:
y=2x+1
Step: Substitute2x+1foryiny=4x−1:
y=4x−1
2x+1=4x−1
2x+1+−4x=4x−1+−4x(Add -4x to both sides)
−2x+1=−1
−2x+1+−1=−1+−1(Add -1 to both sides)
−2x=−2
−2x
−2
=
−2
−2
(Divide both sides by -2)
x=1
Step: Substitute1forxiny=2x+1:
y=2x+1
y=(2)(1)+1
y=3(Simplify both sides of the equation)
Answer:
x=1 and y=3
Answer:
<em>Algorithm</em>
Step-by-step explanation:
An algorithm <em>is a series of instructions in mathematics and computer science, generally to solve a problem class or execute a calculation.</em>
Algorithms are unequivocal estimation, data processing, automatic reasoning, and other tasks requirements.
Answer: u = (41.659, 36.341)
Step-by-step explanation:
Constructing a 90% confidence interval for mean is given by the formulae below.
u = x + Zα/2 * σ/√n...... This is the upper limit
u = x - Zα/2 * σ/√n........ This is the lower limit.
u = population mean
x = sample mean = 39
σ = population standard deviation = 9
Zα/2 = Z score for a two tailed test with an a level of significance = 1.645 ( for 90% confidence level)
Upper limit
u = 39 + 1.645 * (9/√31)
u = 39 + 1.645 * (1.616)
u = 39 + 2.6590
u = 41.659
Lower limit
u = 39 - 1.645 * (9/√31)
u = 39 - 1.645 * (1.616)
u = 39 - 2.6590
u = 36.341
Answer:
900
Step-by-step explanation:
Given that :
Enrollment declined by 20% from between September 1991 to September 1994
This means there was a reduction in enrollment ;
Enrollment in September 1994 = 720
Enrollment in September 1991 = x
Hence,
Enrollment in 1994 = (1 - decline rate ) * enrollment in 1991
720 = (1 - 20%) * x
720 = (1 - 0.2) * x
720 = 0.8x
720 / 0.8 = 0.8x/0.8
900 = x
Hence, Enrollment in September 1991 = 900 enrollments