first you convert to slope intercept form
3x+y = 5 is the same as y = -3x+5
x - 4y = 32 is the same as y = 4x-8
then you graph
(starting with the y-intercepts as your first points)
the point where the two lines intercept is your solution.
Let the 1st number be x; 2nd number be y; 3rd number be z.
x + y + z = 79
x = number we are looking for.
y = x * 5 ==> 5 times the first
z = x + 16 ==> 16 more than the first
Therefor,
x + (x * 5) + (x+16) = 79
1st step, multiply the 2nd number: x * 5 = 5x
x + 5x + x + 16 = 79
Add all like numbers:
7x + 16 = 79
To get x, transfer 16 to the other side and change its sign from positive to negative.
7x = 79 - 16
7x = 63
To get x, divide both sides by 7
7x/7 = 63/7
x = 9
To check. Substitute x by 9.
x + (x * 5) + (x+16) = 79
9 + (9 * 5) + (9 + 16) = 79
9 + 45 + 25 = 79
79 = 79 equal. value of x is correct.
Answer:
a = 3, b = 2
Step-by-step explanation:
It is given that both the polynomials are equal.
Therefore, h(x) = k(x)
Answer:
<h2>$2479.5</h2>
Step-by-step explanation:
In this problem we will estimate her monthly earnings
given that she earns $13.05 per hour
and also given that she works for 190 hours in a month
then in a month, her earnings will be
=$13.05*190
=$2479.5
alternatively,
per week she works 47.5hours
in a week she will earn 13.05*47.7= $622.485
4 weeks make a month
then after one month her earning will be
$622.485*4= $2479.5
