Answer:
f(-3) = -20
Step-by-step explanation:
We observe that the given x-values are 3 units apart, and that the x-value we're concerned with is also 3 units from the first of those given. So, a simple way to work this is to consider the sequence for x = 6, 3, 0, -3. The corresponding sequence of f(x) values is ...
34, 10, -8, ?
The first differences of these numbers are ...
10 -34 = -24
-8 -10 = -18
And the second difference is ...
-18 -(-24) = 6
For a quadratic function, second differences are constant. This means the next first-difference will be ...
? -(-8) = -18 +6
? = -12 -8 = -20
The value of the function at x=-3 is -20.
_____
The attachment shows using a graphing calculator to do a quadratic regression on the given points. The graph can then be used to find the point of interest. There are algebraic ways to do this, too, but they are somewhat more complicated than the 5 addition/subtraction operations we needed to find the solution. (Had the required x-value been different, we might have chosen a different approach.)
Answer:
Step-by-step explanation:
width = x
length= x + 5
a) x + 5
b) x * (x+5) = 300
x^2 + 5x = 300
x^2 + 5x - 300 = 0
Δ = 25 + 1200 = 1225
width = (-5 + 35)/2 = 15 cm
lenght = 15 + 5 = 20 cm
Y-intercept when x = 0
so
y = 4
Answer:

Step-by-step explanation:
First, you make fourteen a fraction.

Then, make it a mixed fraction by adding a six.

Lastly, have a great day! :)
Answer:
Jiri is 12 years old
Step-by-step explanation:
To start off we need to make an equation. Since we know both of their ages add up to 48 and that Pamela's age is 3 times Jiri's age we can say x(Jiri's Age) + 3x(Pamela's age) =48 --> x+3x=48
Now we have the equation x+3x=48, and we need to solve it.
First combine like terms
4x=48
Now divide both sides by 4
x=12
And now since we are using Jiri's age as x we know Jiri is 12 years old.