Answer:
Step-by-step explanation:
We first have to write an expression for each of the types of coins in terms of one of them. If he has 8 more dimes than nickels, let's call nickels "x". That means that dimes is "x + 8". The value of a nickel is .05, so the expression relating the number of nickels to the worth of the nickel is .05x. The value of a dime is .10, so the expression relating the number of dimes to the worth of the dime is .10(x + 8). The total value of these coins is 1.70:
.05x + .10(x + 8) = 1.70 and
.05x + .10x + .8 = 1.70 and
.15x = .9 so
x = 6
That means we have 6 nickels and 14 dimes.
Answer: Given relation is a function
A relation is said to be a function if no value in its domain is paired up with more than one value in its range.
Since x values represent the Domain of a relation and y values represent the Range of a relation, in terms of x and y we can say:
A relation is said to be a function if an x-value is not paired up with more than one y-value.
From the above table we can see that all the x values are distinct, so no x value is paired with more than one y-value and thus given relation is a function.
Answer:
10x + 3
Step-by-step explanation:
3(2x + 1) + 4x =
= 6x + 3 + 4x
= 10x + 3
Answer:
(2,2)
Step-by-step explanation:
Given equations are
x+3y=8 eq(1)
2x-y=2 eq(2)
we'll solve the system of equation by substitution.
Adding -3y to both sides of eq(1),we get
x+3y-3y=8-3y
x+0=8-3y
x=8-3y eq(3)
Put above value of x in eq(2),we get
2(8-3y)-y=2
16-6y-y=2
16-7y=2
Adding -16 to both sides of above equation,we get
-16+16-7y=-16+2
0-7y=-14
-7y=-14
Dividing by -7 to both sides of above equation,we get
-7y/-7=-14/-7
y=2
Putting y=2 in eq(3),we get
x=8-3(2)
x=8-6
x=2
hence, the solution for this system of equations is (2,2).
I'm sorry I don't really know but my guess is 2
