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My name is Ann [436]
3 years ago
14

Use a graphing calculator to approximate the vertex of the graph of the parabola defined by the following

Mathematics
1 answer:
vivado [14]3 years ago
3 0

Answer:  (-0.4, 6.8)

The graph is attached

Step-by-step explanation:

We can find the axis of symmetry using the formula x = -b/2a

x = - -4/2(-5)

x = 4/-10

x = 0.04

Substitute for x and calculate y

y = \left(0.4^{2}\right)\left(-5\right)-4\left(-0.4\right)\ +6

y = 6.8

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Find the slope-intercept equation of the line
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Answer:

y = -1/2x - 1/2

Step-by-step explanation:

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7 0
2 years ago
Find the amount of the annuity. Round to the nearest cent.
jasenka [17]
FVAO=1500[((1+0.08)^(15)-1)/0.08]
FVAO=40728.17
8 0
3 years ago
A sales person is paid a weekly salary of $760, plus a commission of 7.5% of all her sales for the week. Express her weekly inco
Elis [28]

Answer:

1. We can see that salesperson's weekly income is the sum of her constant weekly salary ($760) and a commission which is variable and depends on her weekly sales.

So, if we say that y is her weekly income and x is her weekly sales, we can write this as:

y = 760 + 0.075x

Note that we had to change percentage to decimal number dividing it by 100.

2  Since for each value of x there is only one corresponding value of y, we can say that this is a function. For any value of x we input there is only one solution we get - that is the main feature of function and a way to tell if something is really a function.

Since this is a function, it can also be written as:

f(x) = 760 + 0.075x

3. Domain of a function is, basically, set of all values of x for which the function can work. That practically means that, since x is weekly sale, it can not be negative (one cannot make -$500 sale, for example). However, it is possible that she doesn't make a sale one week, making it possible for x to be 0. Also, the value of her sales doesn't have to be integer (it is quite possible that she makes $673.50 sale).

All this means that appropriate domain for this function are positive real numbers including 0.

6 0
3 years ago
what is the equation in point-slope form of the line passing through (4, 0) and (2, 6)? y = 4x − 2 y = 2x − 4 y = −3(x − 4) y =
Brilliant_brown [7]
Equation in point slope form is given by y - y1 = m(x - x1); where m = (y2 - y1)/(x2 - x1).

y - 0 = (6 - 0)/(2 - 4) (x - 4)
y = 6/-2 (x - 4)
y = -3(x - 4)
7 0
3 years ago
(sec(π/3) + tan(-7π/4))/(1-cos(2 π/3))
Paha777 [63]

Answer:

3

Step-by-step explanation:

3+3_3=3

after that 3+2+6+7+7+8+8+9+9+9+9+9+0+0+8+6+5+4+ 5=?

u will do the answer and it will be done

6 0
3 years ago
Read 2 more answers
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