The reciprocal of a number is 1/the number.
Assume that the number is y
Now, we will translate the English wordings of the problem into an equation as follows:
y + (1/y) = 4 x (1/y) (multiply both sides by y to eliminate the denominators)
y^2 + 1 = 4
y^2 = 4-1 = 3
y = +/- sqrt(3) = +/- 1.732
Based on this,
either the number is 1.732
or the number is -1.732
Answer:
H. 1,632 cm^3
Step-by-step explanation:
Find the area of the base by multiplying 8 by 12 then dividing by 2 to get a base are of 48. then multiply by the height of 34 to get a volume of 1,632 centimeters cubed.
Answer:
Chim is 34 years old, and Jared is 8 years old.
Step-by-step explanation:
Let c be Chim's age and j be Jared's age.
Chim's age after five years (c + 5)
is 3 times Jared's age after five years (3 * (j+5) )
#1: c + 5 = 3(j+5)
We can add Chim's age and Jared's age to get 42 (the "sum"):
#2: c + j = 42
This is a system of equations that we can solve through substitution:
c + 5 = 3(j+5)
c + j = 42
In Equation #2, we can subtract j from both sides:
c = 42 - j
Then replace c with 42 - j in the first equation
(42 - j) + 5 = 3(j+5)
47 - j = 3j + 15
32 = 4j
j = 32/4 = 8
Plug j = 8 into the second equation, then solve for c.
c + 8 = 42
c = 42 - 8 = 34
c = 34, j = 8
Check our work by plugging in c = 34 and j = 8 into the first equation:
34 + 5 = 3(8+5)
39 = 3*13
39 = 39
Plug c and j into the second equation:
34 + 8 = 42
42 = 42
Chim is 34 years old, Jared is 8 years old.
Answer:
t=0, 6, -4
Step-by-step explanation:
first, you can factor out t² of the equation
t²(t²-2t+24)=0, then factor the trinomial
t²(t-6)(t+4)=0, now set each factor equal to zero
t²=0, so t = 0
t-6=0, so t = 6
t+4=0, so t = -4
If you graph it, you can also see the answers.