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lys-0071 [83]
3 years ago
12

You receive a gift card for trading cards from a local store. The function d=20-1.95c represents the remaining dollars d on the

gift card after obtaining c packages of cards. Find the zero of this function. Describe what this value means in this context.
Mathematics
1 answer:
finlep [7]3 years ago
6 0

The zero of this function is 10.2564103 ( or 10 if you round it) because you need to substitute d with 0. The value of this context means the maximum amount of trading cards you can get with the gifts card

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Sunny_sXe [5.5K]

Answer:

Part 1) "a" value is 2

Part 2) The vertex is the point (1,8)

Part 3) The equation of the axis of symmetry is x=1

Part 4) The vertex is a minimum

Part 5) The quadratic equation in standard form is y=2x^{2}-4x+10

Step-by-step explanation:

we know that

The equation of a vertical parabola into vertex form is equal to

y=a(x-h)^{2}+k

where

(h,k) is the vertex of the parabola

if a > 0 then the parabola open upward (vertex is a minimum)

if a < 0 then the parabola open downward (vertex is a maximum)

The equation of the axis of symmetry of a vertical parabola is equal to the x-coordinate of the vertex

so

x=h

In this problem we have

y=2(x-1)^{2}+8 -----> this is the equation in vertex form of a vertical parabola

The value of a=2

so

a>0 then the parabola open upward (vertex is a minimum)

The vertex is the point (1,8)

so

(h,k)=(1,8)

The equation of the axis of symmetry is x=1

The equation of a vertical parabola in standard form is equal to

y=ax^{2}+bx+c

Convert vertex form in standard form

y=2(x-1)^{2}+8

y=2(x^{2}-2x+1)+8

y=2x^{2}-4x+2+8

y=2x^{2}-4x+10

see the attached figure to better understand the problem

7 0
3 years ago
A function has a constant halving time. What type of function does this represent?
Anna71 [15]
<span>The function which has a constant halving time is in the following form
</span>
A(t) = A_{0} ( \frac{1}{2} )^ \frac{t}{h}
Where:  A₀ is the <span>initial amount
              h   is the half life time or the halving time.
</span><span>              t    is the time
</span>              A(t) <span>the amount<span> that remains at time t
</span></span>
The previous function represents an Exponential decay<span> function.
</span>

so, The correct answer is option B. <span>Exponential decay</span>
8 0
3 years ago
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160,000,000 in scientific notation and 58,413,000,000 please help me guys!!!
elixir [45]

160000000 =

move the decimal so only one number is to the left

we need to move it 8 times

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3 0
3 years ago
3 + (6 x (11+1 -4)) ÷ 8 x 2
jolli1 [7]

Answer:

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Murljashka [212]

Answer:

Step-by-step explanation:

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You already know 2 values for the triangle, Angle A 25 as well as Angle C 90

Your formula is

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3 years ago
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