Answer:
Step-by-step explanation:
Answer:
Since radical 45 is equal to radical 9 times radical 5, and because radical 9 is equal to 3 (since 9 is a perfect square), we can simplify radical 45 to 3 times radical 5
The answer is $45
Let's make the system of equations.
x - the cost of the car
y - the amount Matthew has
<span>Matthew currently has enough money to buy 45 toy cars:
y =45x
</span><span>If the cost of each car was 10 cents less, Matthew could buy 5 more cars:
y = (x - 10)*(45 + 5)
45x = (x - 0.10) * 50
45x = 50x - 5
5 = 50x - 45x
5 = 5x
x = 5 / 5
x = 1
y = 45x = 45 * 1 = $45</span>
Answer:
<em> y = 1/2 x</em>
Step-by-step explanation:
Given the table
X 2//4//8//10//16
Y 1//2//4//5//8
We are to find the equation that represent the table
Using the coordinates of x and y components from the table (2, 1) and (4, 2)
The standard expression for the equation is expressed as y = mx+c
m is the slope
c is the y-intercept
Get the slope;
m = y2-y1/x2-x1
m = 2-1/4-2
m = 1/2
Get the intercept c:
Substitute the point (2, 1) and the slope m = 1/2 into the expression y = mx+c
1 = 1/2(2) + c
1 = 1+c
c = 1-1
c = 0
Get the required equation
Recall that: y = mx+c
y = 1/2 x + 0
<em>y = 1/2 x</em>
<em>Hence the required equation is y = 1/2 x</em>
