Answer:
n₁ = 8
n₂ = - 3
Step-by-step explanation:
√(7n + 25) - n = 1
√(7n + 25) = n + 1
[√(7n + 25)]² = (n + 1)²
7n + 25 = n² + 2n + 1
n² + 2n + 1 - 7n - 25 = 0
n² - 5n - 24 = 0
n² + 3n - 8n - 24 = 0
n(n + 3) - 8(n + 3) = 0
(n - 8)(n + 3) = 0
n - 8 = 0 => n₁ = 8
n + 3 = 0 => n₂ = - 3
95.3 because 95.25 rounded is 95.3
Answer:
x = y/3 - 1/3
Step-by-step explanation:
Answer:
see graph
Step-by-step explanation:
g(x) = 3^ x .
h(x) = 2^-x
We want to subtract them
f(x) = 3^x - 2^(-x)
I will rewrite without the negative exponent
f(x) = 3^x - (1/2)^(x)
Lets pick a couple of points
f(0) = 3^0 - (1/2) ^ 0 = 1-1 = 0
As x gets large 3^x gets large and 1/2^x gets close to 0, so it will get large
As x goes to negative infinity, 3^x goes to zero and 1/2^ gets large so we get - infinitity
Answer:
a) 236/100 = 2.36
b) 101/100 = 1.01
c) 814/100 = 8.14
Step-by-step explanation:
The divisor in each case is already a factor of 100, so multiply the numerator and denominator by the number that will make the denominator 100. Then add 100 times the integer to the numerator of the fraction.
a) 2 9/25 = (200 +9·4)/(25·4) = 236/100 = 2.36
b) 1 1/100 = (100 +1)/100 = 101/100 = 1.01
c) 8 7/50 = (800 +7·2)/(50·2) = 814/100 = 8.14
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Since each of these fractions has a denominator of 100, the decimal can be written by putting the least significant digit of the numerator in the hundredths place of the decimal number.
For example, for 236/100, putting 6 in the hundredths place puts 3 in the tenths place and 2 in the units place for a decimal number of 2.36.
