Answer:
3 gallons
Step-by-step explanation:
If two gallons of paint covers 800 square feet, 'x' gallons of paints will cover 1200square feet room where x is the number of gallons needed to paint the 1200 square feet room.
Mathematically,
2 gallons = 800sq.ft
x gallons = 1,200sq.ft
x × 800 = 2 × 1200
x = 2 × 1200/800
x = 3 gallons
Therefore Leah will need 3gallons of paint for 1200sq.ft room
Answer:
Option (1) is the correct option.
Step-by-step explanation:
Function 1,
f(x) = 4x² + 8x + 1
= 4(x² + 2x) + 1
= 4(x² + 2x + 1 - 1) + 1
= 4(x² + 2x + 1) - 4 + 1
f(x) = 4(x + 1)² - 3
This graph opens up with the vertex or minimum point at (-1, -3)
So, the minimum value of the function is (-3) at x = -1.
Function (2)
From the given table minimum value of the function is 0 at x = -1 or minimum point as (-1, 0)
Therefore, Function 1 has the least minimum value and its coordinates are (-1, -3)
Option (1) is the correct option.
Answer:
4
Step-by-step explanation:
Given algebraic expression: 6x^3y+7x^2+5x+46x3y+7x2+5x+4
We know that the constants are the terms in the algebraic expression that contain only numbers.
In the given expression only last term has only numerical value and no variable, rest of them have variable x.
Therefore, the constant term in the given algebraic expression 6x^3y+7x^2+5x+46x3y+7x2+5x+4 is
Answer:
The answer is 2.
2 since 6/4=3/2
Step-by-step explanation:
Since your relation is a direct variation then the points on your line are of the form y=kx where k is the constant of variation (also called constant of proportionality)
If y=kx then y/x=k.
So all the points in this relation since it is a direct variation will be equal to y-coordinate/x-coordinate.
So we are going to solve this proportion:
Again I put y/x from each point. They should have same ratio because this is a direct variation.
Cross multiply:
Divide boht sides by 6:
