Answer:
y = x^2 +6x +8
Step-by-step explanation:
The vertex is (-3, -1), and the vertical scale factor is 1. (You can tell this because the graph goes up 1 unit for 1 unit either side of the vertex.) So, the vertex form of the equation is ...
y = (x +3)^2 -1 . . . . . . . . . vertex form; sometimes called standard form
Expanding this, we get ...
y = x^2 +6x +8 . . . . . . . . also called the standard form equation
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<em>Comment on standard form</em>
There are different versions of "standard form" depending on what you're concerned with and where you are. Please consult your text or other reference material for the version of standard form you need. (The attachments show the conflict with respect to quadratic equations.)
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<em>Comment on the graph</em>
The purpose of the graph attached is to show that the equation we propose produces the same curve as the one given.
Answer:
$1,200
Step-by-step explanation:
Let x be the amount of money deposited in the mutual fund. The interest earned by that investment can be determined as the amount deposited times the interest rate:
The value the second deposited can be determined as x+$2,400 and its interest earned is defined in the same manner as the first deposit's:
The total interest on both investment equals the sum of both interests:
$1,200 were invested in the mutual fund.
Answer:
<h2>39 minutes</h2>
Step-by-step explanation:
In this problem we can see that there is a constant/flat rate charge of $4 on every first minute
we can model the cost for calls as
where x is the number of extra minutes spent
given that y = $13.75
We can simply substitute our given values into the equation 1 above and solve for x
Divide both sides by 0.25 to find x
The difference between 124 and - 48 is 172
124 - (-48)
124 + 48 = 172
Answer:
See below
Step-by-step explanation:
It is very simple, just multiply the principal amount by the interest rate:
a: 2500 x 0.018 = £45
b: 2500 x 0.021 = £52.50
c: 2500 x 0.024 = £60
