Answer:
a. Narrower
b. Shifts left
c. Opens up
d. Shifts up
Step-by-step explanation:
The original quadratic equation is y = x²
The given quadratic equation is y = 5·(x + 4)² + 7
The given quadratic equation is of the form, f(x) = a·(x - h)² + k
a. A quadratic equation is narrower than the standard form when the coefficient is larger than the coefficient in the original equation
The quadratic coefficient is 5 > 1 in the original, therefore, the quadratic equation is <em>narrower</em>
b. Given that the given quadratic equation has positive 'a', and 'b', and h = -4, therefore, the axis of symmetry <em>shifts left</em>
c. The quadratic coefficient is positive, (a = 5), therefore, the quadratic equation <em>opens down</em>
d. The value of 'k' gives the vertical shift, therefore, the given quadratic equation with k = 7, <em>shifts up.</em>
Answer:
4-lower- 18
5-upper-29
6- range-56
Step-by-step explanation:
If you look up a completed box plot you can tell where lower and upper quartiles are. Range is found by Max-Min
Hope I helped...!
Answer:
Ron got 3 additional toppings
Step-by-step explanation:
Lets call the amount of toppings that Ron got t. With this, we can set up the following equation:
8.95+0.65t=10.90
Subtract 8.95 from both sides:
0.65t=1.95
Divide both sides by 0.65:
t=3
Hope this helps!
Current Account Balance = $1,624.35
Initial Deposit = $975
Interest Rate (Simple) = 3.7% simple interest
Interest Earned = Current Account Balance - Initial Deposit
⇒ Interest Earned = $1,624.35 - $975
⇒ Interest Earned = $649.35
Now the Formula for Simple Interest is:
Simple Interest = ×
, where P is the initial deposit, R is the rate of interest and T is the time period
⇒ 649.35 = 
⇒ T = 
⇒ T = 18
Hence, Jeremiah has had the account for 18 years.
The answer is the third one.
