Answer:
Step-by-step explanation:
You have 3 unknowns: a, b, and c. It's our job to find them algebraically. I'm going to start with the point where x = 0 and y = 7. You'll see why in a minute. Filling in the standard form of a quadratic
using (0, 7):
gives you that c = 7. We will use that value now when we write the next 2 equations. Now the point (-2, 19):
and
so
12 = 4a - 2b
Now for the next point (-1, 12):
and
so
5 = a - b
Now we have a system of equations (the 2 bold font equations) that we will solve by elimination:
12 = 4a - 2b
5 = a - b
Multiply the bottom equation by -4 to get a new system:
12 = 4a - 2b
-20 = -4a + 4b
Add those together to get rid of the a terms and end up with
-8 = 2b so
b = -4
Now we can sub in -4 for b to solve for a. I'm using the second bold type equation to do this:
5 = a - (-4) and
5 = a + 4 so
a = 1 and the equation for the quadratic function is
Answer:
1. equation
2. equation
3. expression
4. expression
explanation is that an equation has an equal sign and an expression doesnt .
5. equation
Step-by-step explanation:
Never,because obtuse angle is an angle measuring between 90 and 180
and if an angle measures 180 then it is a straight angle
Answer:
cost of ribeye steak dinners = $10.36
cost of grilled salmon= $11.581
Step-by-step explanation:
Let the cost of one steak dinners be x
Let the cost of one grilled salmon be y
One a particular day the waitress sells 12 ribeye steak dinners and 39 grilled salmon for a total is $575.53 which can be written in equation as
12(x)+39(y)= $575.53-------------------------------------(1)
On another day she sells 25 ribeye steak dinners and 13 grilled salmon dinners totals to $582.43.This can be represented as
25(x)+ 13(y)= $582.43-------------------------------------(2)
solving the equation (1) and (2)
eq(1) x 1
eq(2) x 3
-------------------------(3)
Subtracting these equation we get,
x= 10.36
Now substituting this in equation (1)
y=11.581
Answer:
- The next term of the sequence is represented by the point (5, –64)
Step-by-step explanation:
<u>Note:</u> <em>The first point should be (1, - 4)</em>
According to the points, the sequence is:
- t₁ = - 4, t₂ = 8, t₃ = - 16, t₄ = 32
or
We can observe it is a geometric sequence with common ratio of - 2, as:
- r = 32/ - 16 = - 16/8 = 8/ - 4 = - 2
The following term is:
- t₅ = t₄*r = 32*(- 2) = - 64
The coordinates of same term are:
As we see the correct answer choice is D.
