Answer:
a) (-5,0) and (1,0)
b) (0,-5)
c) minimum
See attached graph.
Step-by-step explanation:
To graph the function, find the vertex of the function find (-b/2a, f(-b/2a)). Substitute b = 4 and a = 1.
-4/2(1) = -4/2 = -2
f(-2) = (-2)^2 + 4(-2) - 5 = 4 - 8 - 5 = -4 - 5 = -9
Plot the point (-2,-9). Then two points two points on either side like x = -1 and x = -3. Substitute x = -1 and x = -3
f(-1) = (-1)^2 + 4 (-1) - 5 = 1 - 4 - 5 = -8
Plot the point (-1,-8).
f(-3) = (-3)^2 + 4(-3) - 5 = 9 - 12 - 5 = -8
Plot the point (-3,-8).
See the attached graph.
The features of the graph are:
a) (-5,0) and (1,0)
b) (0,-5)
c) minimum
Answer:
y=-5/4x+3
Step-by-step explanation:
Y-intercept is 3 so +3 and the slope is -5/4 so -5/4x.
Answer:
66
Step-by-step explanation:
The bases are both the same so it's 3*3 for both of them.
The sides are also the same so it's 3*4 for all four of them.
3*3+3*3+3*4+3*4+3*4+3*4
9+9+12+12+12+12
18+48
66
Answer:
17 hours
Step-by-step explanation:
From the above question,
Anthony is practicing 4 days in a week
Hence
The number of hours he practices in the morning for 4 days =
1.75 hours × 4
= 7 hours
The number of hours he practices in the evening for 4 days =
2.5 hours × 4
= 10 hours
Therefore, the total number of hours he practices this week
= 7 hours + 10 hours
= 17 hours
Answer:
The amount in the account after six years is $2,288.98
Step-by-step explanation:
In this question, we are asked to calculate the amount that will be in an account that has a principal that is compounded quarterly.
To calculate this amount, we use the formula below
A = P(1+r/n)^nt
Where P is the amount deposited which is $1,750
r is the rate which is 4.5% = 4.5/100 = 0.045
t is the number of years which is 6 years
n is the number of times per year, the interest is compounded which is 4(quarterly means every 3 months)
we plug these values into the equation
A = 1750( 1 + 0.045/4)^(4 * 6)
A = 1750( 1 + 0.01125)^24
A = 1750( 1.01125)^24
A = 2,288.98
The amount in the account after 6 years is $2,288.98
