For me, I use proportion to solve this kind of problems.
Not that 1 inch = 100 miles; set up your proportion:
1 inch = 100 miles
------------- -----------
4.7 inches = x miles
*Cross, multiple and divide: 4.7 x 100 / 1 which equals 470 miles.
The actual distance between the two cities is 470 miles.
round 756622 to 757000
round 43261 to 43300
subtract 757000-43300= 713700
Answer:
One solution, which is x=0.
Step-by-step explanation:
12(x-3)+18=6(x-3)
12x-36+18=6x-18
12x-18=6x-18
12x-6x-18=-18
6x-18=-18
6x=-18+18
6x=0
x=0/6
x=0
Answer:
See explanation
Step-by-step explanation:
The given functions are:
and
We substitute x-7, wherever we see x in f(x) to obtain:
This means g(x) is obtained by shifting f(x) 7 units to the right.
Also we can say g(x) is obtained by shifting the parent quadratic function, 7 units left and 5 units down.
You have not provided the options, but I hope this explanation helps you check the correct answers.
The equation become by the given age constraint is b² - 4b - 621 = 0 and Sam's age is 23 years old.
<h3>How to form an equation?</h3>
Determine the known quantities and designate the unknown quantity as a variable while trying to set up or construct a linear equation to fit a real-world application.
In other words, an equation is a set of variables that are constrained through a situation or case.
a)
As per the given,
b = Beth's age
Sam's age is s let's say.
s = b - 4
And sb = 621
s = 621/b
By substitution,
621/b = b - 4
621 = b² - 4b
b² - 4b - 621 = 0
b)
b² - 4b - 621 = 0
b² - 27b + 23b - 621 = 0
b(b - 27) + 23(b - 27) = 0
(b - 27)(b + 23) = 0
b = 27 and -23
Since, age never is negative thus b = 27 years old.
sb = 621
s = 621/27 = 23 year old.
Hence "The equation become by the given age constraint is b² - 4b - 621 = 0 and Sam's age is 23 years old".
For more about the equation,
brainly.com/question/10413253
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