x+y=8 and 25x+10y=170 are the linear equations.
x+y≤8 and 25x+10y≤170 are the inequalities.
Step-by-step explanation:
Given,
Worth of coins = $1.70 = 1.70*100 = 170 cents
Number of coins = 8
1 quarter = 25 cents
1 dime = 10 cents
Let,
x represent the number of quarters
y represent the number of dimes
1. Write an equation to represent the amount of coins Karen has.
x+y = 8
2.Write an equation to represent the value of the coins Karen has.
25x+10y=170
x+y=8 and 25x+10y=170 are the linear equations.
For inequalities, the amount cannot increase number of coins and worth but it can be less, therefore,
x+y≤8
25x+10y≤170
x+y≤8 and 25x+10y≤170 are the inequalities.
Keywords: linear equations, addition
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<span>When you round 699,900 to the nearest hundred, you get 700,00.</span>
Answer:
f(y) = 12 + 4x
Step-by-step explanation:
Output is 12 more than 4 timea the input
The dependent variable = y
The dependent variable = x
The input is the independent variable, x
Output is the dependent variable, y
Output = 12 + (4 * input)
Hence, the function rule can be written has :
f(y) = 12 + 4x
Answer:
n=-1, 1
Step-by-step explanation:
-4|8n|=-32
Divide each side by -4
-4|8n|/-4=-32/-4
|8n|=8
When we have absolute values, we need to make two equations, one positive and one negative
8n=8 8n=-8
Divide each side by 8
8n/8 = 8/8 8n/8 = -8/8
n=1 n=-1
STEP 1
Write out the formula needed
STEP 2
Equate both equations together then substitute the values of the points into the equation.
