Answer:
<h3>13 years</h3>
Step-by-step explanation:
Let the present age of Alicia be x
Let the present age of her brother be y
Three years ago;
Alicia age = x - 3
Her brother's age = y - 3
If three years ago Alicia was twice as old as her brother Carlos, then;
X - 3 = 2(Y-3)
x-3 = 2y - 6
x = 2y - 3 ...1
In two years time;
Alicias age = x+2
Her brother's age = y +2
If in two more years Alicia will be just 50% older than Carlos, then;
x+2 = y + 2 + (0.5(y+2))
x+2 = y+2 + 0.5y + 1
x+2 = 1.5y+3
x = 1.5y + 1 ...2
Equating 1 and 2;
2y - 3 = 1.5y + 1
2y - 1.5y = 1+3
0.5y = 4
y = 4/0.5
y = 8
Since x = 2y-3
x = 2(8) - 3
x = 16-3
x = 13
Hence Alicia will be 13 years old today
Answer:
4x-6
Step-by-step explanation:
2(2x) - 2(3)
4x-6
Answer:
Step-by-step explanation:
Let the number be x.
four times the number:
4x
If the exprression is increased by 1, it will become:
4x+1
If the value is between -7 and 13, the value of x will be within the range [-6, 12]
Equating the resulting expression to each end point.
At end point of -6
4x+1 = -6
4x = -6-1
4x = -7
x = -7/4
At the end point of 12:
4x+1 = 12
4x = 12-1
4x = 11
x = 11/4
Hence all the numbers will be within the range [-7/4, 11/4] or -7/4≤x≤11/4
Answer:
Step-by-step explanation:
Slope-intercept form of a linear equation: y = mx + b
- m is the slope
- b is the y-intercept - when x = 0
Problem 17: y = -4x + 2
- slope: -4
- y-intercept: (0, 2)
Problem 18: y = 1/7x - 5
- slope: 1/7
- y-intercept: (0, -5)
Problem 19:
y = 1x + 3
- slope: 1
- y-intercept: (0, 3)
Hope this helps!
The slope for number one would be negative 3 i think