Answer:
gradient = - 
, y- intercept = 
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Given
3x + 4y = 5 ( subtract 3x from both sides )
4y = - 3x + 5 ( divide terms by 4 )
y = - x + ← in slope- intercept form
with slope m = - and y- intercept c =
Under ratio and proportion, there are a couple of ways you can use aside from using words to establish the relationship between 2 numbers.
One would be in a fraction form where "3 to 10" can be written as "3/10", or using a colon between the two numbers, where it would be written as "3:10". It is necessary to understand that these forms all mean the same, even if they look really different.
Answer:
f(x) = (x -3)^2 - 1
Step-by-step explanation:
f(x) = x^2 - 6x + 8
a = 1, b = -6 and c = 8
So we are finding half of the b equation (ignore the negative sign)
Half of 6 is 3, so we are going to square 3 (3^2 = 9) and add 9 to the left side and subtract 9 to the right side
(x) = (x^2 - 6x + 9) + (8 - 9)
You can tell the polynomial is a perfect square, so we will have to factor it using the perfect square method
(x^2 - 6x + 9)
square toot of x^2 is x and square root of 9 is 3 and the operation sign after the a number is a minus sign
(x -3)^2
Don't forget the rest of the equation from before
(x -3)^2 + (8 - 9)
(x -3)^2 - 1
So the equation is f(x) = (x -3)^2 - 1
75% calculated ~I'll be happy to explain if needed!~ ;)
Five grams is equal to 1 teaspoon
