Answer:
Given below
Step-by-step explanation:
Jose's method
Distance on bus: 2.85 x 1000= 2850m
Total distance= 320m + 2850m
= 3170 m
Pam's method
Distance to bus stop = 320 ÷ 100 = 0.32 km
Total distance= 0.32 km + 2.85 km
= 3.17 km
Answer:
<em>The answer is 13</em>
Step-by-step explanation:
Two positive and consecutive old numbers are x and x - 2.
=> x(x - 2) = 143
=> x^2 - 2x - 143 = 0
=> x^2 + 11x - 13x - 143 = 0
=> x(x + 11) - 13(x + 11) = 0
=> (x + 11)(x - 13) = 0
=> x = -11 (invalid)
or x = 13 (valid), the remaining number is 13 - 2 = 11
=> The two numbers are 11 and 13, and the greater number is 13.
Hope this helps!
:)
Answer:
2
Step-by-step explanation:
just look at the image.
first in this you need to get rid of the 6 by the x, since its 6 times x you need to divide it by 6 to remain with x, you must do this on both sides to make it fair. you will remain with x < 4. 2 would then be the only answer to make it true.
Answer:
option C
x = 2 , x = -5
Step-by-step explanation:
You have to remember the "Quotient Rule" for exponent having same base.
The quotient rule tells us that we can divide two powers with the same base by subtracting the exponents.
Here,
base = 12
exponents = (x² + 5x - 4) , (2x + 6)
12^(x² + 5x - 4) = 12^(2x + 6)
12^((x² + 5x - 4) /(2x + 6)) = 1
12^((x² + 5x - 4) -(2x + 6)) = 1
12^(x² + 5x - 4 - 2x - 6) = 1
12^(x² + 5x - 2x - 4 - 6) = 1
12^(x² + 3x - 10) = 1
ln (12^(x² + 3x - 10)) = ln(1)
(x² + 3x - 10)ln(12) = 0
ln(12) = 0 rejected
x² + 3x - 10 = 0
Now solve the quadratic equations by factorisation.
(x-2)(x+5) = 0
x = 2 , x = -5
To find k, divide both sides by 1/4
K = 2/3 / 1/4
When dividing by a fraction flip the second fraction over then multiply:
K = 2/3 x 4/1 = (2 x 4) / (3 x 1) = 8/3
K = 8/3 = 2 and 2/3
