Answer:
The new balance will be $385.04.
Step-by-step explanation:
Previous balance = $179.32
Payments/credits = $85.00
Unpaid balance = = $264.32
Monthly rate = 1.25%
Finance charge = = $3.30
New purchases = $117.42
New balance = = $385.04
Solve -4x^2+3x=-5 using quadratic formula
1 answer:
Answer:
Step-by-step explanation:
Here, we want to solve the given quadratic equation using the quadratic formula
We need to rewrite the equation in the standard form;
-4x^2 + 3x + 5 = 0
we have the value a as -4
value b as 3
C = 5
we then substitute these values into the quadratic formula as seen in the attachment
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Answer:
68
Step-by-step explanation:
Any function is evaluated by putting the argument value where the variable is, then doing the arithmetic. When the argument is another function value, that function value is evaluated first.
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<h3>f∘g</h3>The "o" in (fog) is a stand-in for the "ring operator" (∘) which is the operator used to signify a composition. A composition is evaluated right-to-left. That means (f∘g)(x) ≡ f(g(x)). The value of g(x) is found first, and is operated on by the function f.
Writing the composition in the form f(g(x)) lets you identify the layers of parentheses. As with any expression evaluation, the Order of Operations applies. It tells you to evaluate the expression in the innermost parentheses and work your way out.
<h3>g(-2)</h3>To evaluate (f∘g)(-2) = f(g(-2)), we must first evaluate g(-2). That is ...
g(x) = 5x +4
g(-2) = 5(-2) +4 = -10 +4 = -6 . . . . . put -2 where x is, do the math
<h3>f(g(-2))</h3>Now that we know g(-2) = -6, we know this expression is ...
f(-6) = 8 -10(-6) = 8 +60 = 68 . . . . . substitute for x in 8-10x
Then the value we're looking for is ...
(f∘g)(-2) = 68
We have been given an equation . We are asked to fill in the blanks using our given equation.
The axis of symmetry will be the vertical line passing through vertex.
First of all, we will convert our given equation in standard vertex form of parabola as:
Standard vertex form of parabola: , where (h,k) is vertex of parabola.
Upon comparing our function with standard vertex form, we can see that vertex of parabola is at .
The axis of symmetry will be vertical line passing through point . The vertical line will pass through
, therefore, the axis of symmetry is
.
Since our given parabola is an upward opening parabola, so it has a minimum at . This means that parabola will intersect the x-axis at two points. Therefore, there are two real solutions for the given function.