First you would add any numbers or variables (x) on each sides. So the equation would look like this -5h+12=32. Then you subtract 12 from both side because you are trying to find what H is; thus making the equation look like this, -5h=20. Then you can divide by -5 and the answer would be h=-4. You can plug it back into the equation to make sure it is correct. 10-5(-4)+2=32
10+20+2=32
32=32
It works.
Answer:
Option (1)
Step-by-step explanation:
x -2 -1 0 1 2
y 10 2.5 0 2.5 3.0
Ist difference,
= -2.5
= 2.5
= 7.5
2nd difference,
= 5
= 5
= 5
Since 2nd difference is common, given table represents a quadratic equation.
Let the equation is,
y = ax²+ bx + c
For a point (0, 0) passing through the quadratic equation,
0 = c
Therefore, quadratic equation is y = ax² + bx
Since ordered pair (-1, 2.5) passes through the graph of the function,
2.5 = a(-1)² + b(-1)
a - b = 2.5 ------(1)
For another point (1, 2.5)
2.5 = a(1)² + b(1)
a + b = 2.5 ------(2)
By adding equations (1) and (2),
2a = 5
a = 2.5
and from equation (2)→ y = 0
Therefore, equation of the quadratic function given in the table is y = 2.5x²
Option (1) is the answer.
Answer:
in picture
Step-by-step explanation:
— Round tables will have 6 chairs, rectangular tables will have 10 chairs, the total number of chairs must be at least 185: 6x +10y ≥ 185
— There be no more than 15 rectangular tables: y ≤ 15
— No fewer than 6 round tables: x ≥ 6
— Rectangular tables must be at least 1/3 the number of round tables: y ≥ (1/3)x ⇒ 3y ≥ x
Hello! To solve this problem, we can write and solve an equation. Set it up like this:
6 + 3m = 24
This is because 6 is the one-time fixed price and you pay $3 per mile. Subtract 6 from both sides in order to get 3m = 18. Now, divide each side by 3 to isolate the “m”. 18/3 is 6. There. m = 6. Mike traveled 6 miles by taxi.
Age of Sita is 14.25 years and her father is 42.75 years
Step-by-step explanation:
- Step 1: From given details, let present age of Sita be x and that of her father be 3x.
- Step 2: Form equations based on their ages in 6 years. (Given sum is 69)
⇒ (x + 6) + (3x + 6) = 69
⇒ 4x + 12 = 69
⇒ 4x = 57
⇒ x = 14.25
- Step 3: Calculate age of Sita's father
⇒ 3x = 42.75