The area of the triangle will increase by 4^2 . That is by a factor of 16.
Answer:
y = 10
Explanation:
a = apples
b = bananas
the a is equal to 1.5, the b is equal to .3
so it's 2a + xb = 6
(2 x 1.5) + (y x 0.3) = 6
3 + (y x 0.3) = 6
y x 0.3 = 3
so the way we get the answer here, we remove the 0.3 from the side that has the number we're looking for. to do that, we put it on the side with the number we know
with addition problems, you just add or subtract from one side and do the same to the other.
with multiplication, we need to divide one side and multiply by the other.
all the dividing we're doing here will be changing the number with the y to be basically not there
but they'd probably have it written as 0.3y = 3
and the way we sometimes show division, is with the / symbol, so to get this, it would be (0.3y/0.3) = 3 once again, parenthesis just to keep it separate and to try and prevent confusion. you remove the 0.3 from one side and put it on the other by doing the same thing to each side
so it's currently (0.3y/0.3) = 3/0.3s
3 divided by 0.3 comes out to 10
so the answer ends up being y = 10
Answer:
- (4, 0) and (-2, 0)
- (1, -9)
- (0, -8)
Step-by-step explanation:
Finding the x-intercepts :
- y-value of the x-intercept is 0
- 0 = (x - 4)(x + 2)
- x - 4 = 0 ⇒ x = 4
- x + 2 = 0 ⇒ x = -2
- The x-intercepts are : (4, 0) and (-2, 0)
Finding the vertex :
- Expanding the function f
- f(x) = (x - 4)(x + 2)
- f(x) = x² - 4x + 2x - 8
- f(x) = x² - 2x - 8
- Vertex = (h, k)
- h = -b/2a = -(-2)/2(1) = 1
- k = (1)² - 2(1) - 8
- k = 1 - 2 - 8 = -9
- The vertex is : (1, -9)
Finding the y-intercept :
- Substitute x = 0 in the function
- f(0) = 0² - 2(0) - 8
- f(0) = -8
- The y-intercept is : (0, -8)
The equation 2 has a graph which is a straight line.
Why?
We can know which of the given equations has a graph which is a straight line just checking the exponents of the variables.
We must remember that every variable that has an exponent equal or higher than 2 (quadratic) will not have a straight line as a graphic.
So, checking the exponents from the given equations, we have:
Hence, we can see that the only equation that has a linear term (straight line graph), is the second equation.
Have a nice day!
Note: I have attached a image for better understanding.
