A function is where each input (x) has only 1 output (y). Since no x values have more than one y value, this is a function (answer A)
Answer:
<h2>30</h2>
Step-by-step explanation:
<h3>to understand the steps</h3><h3>you need to know about:</h3>
- system of linear equation
- word problems
- PEMDAS
first step
let's create the equation word problem
<h3>my mother's current age is four times the sum of the ages of my two sisters. After 5 years, my mother's age will be double the sum of the ages of my two sisters. What is the current age of my mother? (imaginary problem)</h3>
let's solve
let my mother's and sister's age be x and y respectively
according to the first condition,x=4y....(I)
according to the 2nd condition,x+5=2(y+5×2).....(ii)
so the system of linear equations is
x=4y
x+5=2(y+5×2)
gets from the second equation
x+5=2(y+10)
x+5=2y+20
4y+5=2y+20 (as x=4y)
2y=15
y=7.5
so the age of mother is
x=4.(7.5)
x=30
Answer:
creeper
Step-by-step explanation:
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Answer:
B: (x - 4)² = 44
Step-by-step explanation:
Start with x^2 - 8x - 10 = 18.
Simplify the constants by adding 10 to both sides: x^2 - 8x - 10 + 10 = 18 + 10.
Then x^2 - 8x = 28.
Now identify the coefficient of x. It is -8.
Take half of this, obtaining -4.
Square this result, obtaining 16.
Add 16, and then subtract 16, to x^2 - 8x:
x^2 - 8x + 16 - 16 = 28.
Add 16 to both sides:
x^2 - 8x + 16 = 28 + 16 = 44
Rewrite x^2 - 8x + 16 as (x - 4)², so that we have:
(x - 4)² = 44. This is in the form (x - p)² = 44, and matches Answer B.
Note: Please use " ^ " to indicate exponentiation: (x - 4)^2 = 44
Answer:
150
Step-by-step explanation: one apple cost $0.50, so 75/ $0.50= 150
