Answer:
downwards
Step-by-step explanation:
the equation of a parabola in vertex form is
f(x) = a(x - h)² + k
where (h, k ) are the coordinates of the vertex and a is a multiplier
• if a > 0 then parabola opens upwards
• if a < 0 then parabola opens downwards
for
f(x) = - 4(x - 3)² + 9 with a = - 4 < 0 , then
the parabola opens downwards
Account balance is $123.08
Step-by-step explanation:
- Step 1: Balance in Thompson's account = $283.12. Calculate the total amount of checks Thompson wrote in the month.
Total amount of checks = $23.09 + $7.56 + $125.11 + $4.28
= $160.04
- Step 2: Calculate his balance.
Account balance = $283.12 - $160.04
= $123.08
Answer:
The slope is 3 and the y intercept is -7/4
Step-by-step explanation:
We need to get the equation in the form
y = mx+b where m is the slope and b is the y intercept
12x - 4y =7
Subtract 12x from each side
12x-12x -4y = -12x +7
-4y = -12x+7
Divide each side by -4
-4y/-4 = -12x/-4 +7/-4
y = 3x + -7/4
The slope is 3 and the y intercept is -7/4
The scenario can be described using a piecewise function like:
f(x) = 1/x if x < c.
f(x) = x if x = c
f(x) = 1/(x + 73) if x > c.
<h3>
When the value exists but the limit does not?</h3>
Remember that the limit only exists if the limit from left and the limit from the right give the same value.
Then, we can just define a piecewise function of the form:
f(x) = 1/x if x < c.
f(x) = x if x = c
f(x) = 1/(x + 73) if x > c.
Clearly, this is not a continuous function.
Notice that:

So the limits from left and right are different, then:

Does not exist.
If you want to learn more about limits:
brainly.com/question/5313449
#SPJ1