Part A: x = -5/4, 3 || (-5/4, 0) (3, 0)
To find the x-intercepts, we need to know where y is equal to 0. So, we will set the function equal to 0 and solve for x.
4x^2 - 7x - 15 = 0
4 x 15 = 60 || -12 x 5 = 60 || -12 + 5 = -7
4x^2 - 12x + 5x - 15 = 0
4x(x - 3) + 5(x - 3) = 0
(4x + 5)(x - 3) = 0
4x + 5 = 0
x = -5/4
x - 3 = 0
x = 3
Part B: minimum, (7/8, -289/16)
The vertex of the graph will be a minimum. This is because the parabola is positive, meaning that it opens to the top.
To find the coordinates of the parabola, we start with the x-coordinate. The x-coordinate can be found using the equation -b/2a.
b = -7
a = 4
x = -(-7) / 2(4) = 7/8
Now that we know the x-value, we can plug it into the function and solve for the y-value.
y = 4(7/8)^2 - 7(7/8) - 15
y = 4(49/64) - 49/8 - 15
y = 196/64 - 392/64 - 960/64
y = -1156/64 = -289/16 = -18 1/16
Part C:
First, start by graphing the vertex. Then, use the x-intercepts and graph those. At this point we should have three points in a sort of triangle shape. If we did it right, each of the x-values will be an equal distance from the vertex. After we have those points graphed, it is time to draw in the parabola. Knowing that the parabola is positive, we draw in a U shape that passes through each of the three points and opens toward the top of the coordinate grid.
Hope this helps!
Answer:
9 cows and 1 chicken ( plz help me)
Step-by-step explanation:
Answer:
x= 8/9
Step-by-step explanation:
Open everything up to get 5x+2x-6=-2x+2. Move numbers with an x to the left side and without to the right to have 5x+2x+2x=2+6. Simplify to have 9x=8. Divide by 9 which leaves you with x= 8/9
Answer:
False
Step-by-step explanation:
The people arent random
The early withdrawal fee on this account is $6.25
Step-by-step explanation:
Suppose you buy a CD for $1000
- It earns 2.5% APR and is compounded quarterly
- The CD matures in 5 years
- Assume that if funds are withdrawn before the CD matures, the early withdrawal fee is 3 months' interest
We need to find the early withdrawal fee on this account
∵ The annual interest is 2.5%
- Change it to decimal
∵ 2.5% = 2.5 ÷ 100 = 0.025
∴ The annual interest rate is 0.025
∵ The interest is compounded quarterly
∴ The interest rate per quarter = 0.025 ÷ 4 = 0.00625
∵ The early withdrawal fee is 3 months' interest
∵ You buy the CD for $1000
∵ A quarter year = 3 months
∴ The early withdrawal fee = 1000 × 0.00625 = $6.25
The early withdrawal fee on this account is $6.25
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