Answer: The y-value of the vertex is
Step-by-step explanation: we know that
The equation of a vertical parabola into vertex form is equal to
where
(h,k) is the vertex of the parabola
In this problem we have
-----> this a vertical parabola open upward
Convert to vertex form
Group terms that contain the same variable, and move the constant to the opposite side of the equation
Factor the leading coefficient
Complete the square. Remember to balance the equation by adding the same constants to each side
Rewrite as perfect squares
The vertex is the point
The y-value of the vertex is
Answer: (-8, -80)
<u>Step-by-step explanation:</u>
y = 10x
y = -3x - 104
Substitute "y" with "10x" into the second equation, then solve for x:
10x = -3x - 104
13x = -104 <em>added 3x to both sides</em>
x = -8 <em>divided both sides by 13</em>
Next, substitute -8 for x into the first equation to solve for y:
y = 10(-8)
= -80
<h2>First step/Equation</h2>
Answer:
$362.57
Step-by-step explanation:
A suitable calculator or finance app can find the monthly payment for you. This result comes from a TI-84 calculator.
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The second attachment shows the parameters of the payment function. With 20% down, Anthony is only financing 80% of the price of his car. Of course, there are 12 months in a year, so 4 years worth of payments will be 48 payments. The calculator uses negative values for amounts you pay.
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No doubt your reference material shows you a formula for computing loan payments. One such is ...
A = Pr/(1 -(1+r)^-n)
where r is the monthly interest rate, 0.068/12, and n is the number of payments, 48. The principal amount of the loan, P, will be 19,000×0.80. This formula gives the same result as that shown above and below
The Measure of the Missing Angles can be found by this formula: x+y+z= 180°.
You already know the measure of 1 Angle, which is 30°, right?
You also know that this Triangle is a Right Triangle, so the Square for One Angle indicates that the Angle is 90°.
y= 90°, and z= 30°, and you know that the Total Measure of any Triangle is 180° Total.
90°+30° = 120°, and 180°-120°= 60°, so finally, x= 60°, and y=90°, and z= 30°.
