Answer:
-4
+3
12
-0.5, 12.25
x = -0.5
Step-by-step explanation:
The x intercepts are the values of x when y = 0 ie the roots of the equation
or
We can re-write the above as:
(x+4) (x-3) = 0
This gives the two roots as x = -4 and x = +3. Leftmost (smallest) root is -4 and rightmost(largest) root is +3
y intercept is when x = 0. Plugging into the original equation, y value at x = 0 is 12
Vertex x value is given by the formula -b/2a where a is the coefficient of x^2 and b the coefficient of x
Here a = -1, b= -1 so vertex x value = - (-1)/(-1).2 = - 1/2 = -0.5
Plugging this value of x into the original function gives the vertex y value
The line of symmetry is the vertical line corresponding to the vertex x value so line of symmetry is at x = -0.5
The graph of the quadratic function shows these values
Answer:
B
Step-by-step explanation:
-2 is greater than -3
Answer:
hello
Step-by-step explanation:
how are u :)
Answer:
Option B. house B; monthly payment of $1,550.89 is the correct answer.
Step-by-step explanation:
In order to calculate the highest payment Pete can afford we have to subtract his expenses from his housing budget.
Given
Total housing budget = $2250
Monthly costs = $215.75
Utilities = $143.50
Taxes = $273
First all expenses can be added together to subtract from the housing budget.
So
Now the total monthly cost will be subtracted from housing budget.
Hence, he saves $1617.75 for monthly payment.
Looking at the options, C and D will be ruled out as both the quantities are greater than 1617.75
Option A and B both are smaller than 1617.75 but as $1,550.89>$1,327.18, Option B is the highest monthly payment Pete can afford.
Hence,
Option B. house B; monthly payment of $1,550.89 is the correct answer.
Answer:
6 pounds of fertilizers are needed for garden area of 180 square foot.
Step-by-step explanation:
Let 'x' pounds of fertilizers be needed for 180 square foot garden.
Given:
4 pounds of fertilizer needed for an area of 120 square foot.
The area of the garden given is 180 square foot.
Now, as per question:
4 pounds of fertilizer is equivalent to an area of 120 square foot.
Therefore, 'x' pounds of fertilizer is equivalent to an area of 180 square foot.
Applying proportion and cross multiplying method, we get:
x 4
_ = _
180 120
120x=4 x 180
120x= 720
x = 720
_
120
x=6 LBS
Therefore, 6 pounds of fertilizers are needed for garden area of 180 square foot.
Step-by-step explanation:
