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Anvisha [2.4K]
3 years ago
15

Can you help me on this one please

Mathematics
1 answer:
Vera_Pavlovna [14]3 years ago
8 0
Answer: x ≥ 1307

Explanation:

First, write the formula:
monthly fee: $14
minute rate: 7¢ or $0.07
total charge: $105.49
.07x + 14 ≥ 105.49  (the sign is this way because they said this price was the least she had been charged for a month. 
You can solve for x just like you would in an equation by making the ≥ sign an equal sign
.07x + 14 = 105.49 
        - 14      -14
.07x = 91.49
÷ .07     ÷ .07
x = 1307 minutes 
since you didn't divide by a negative number, the inequality sign stays the same:
x ≥ 1307
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Answer:

a+2b-d=1, 3, 5, 7

Step-by-step explanation:

(ax^2+bx+3)(x+d)

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ax^3+bx^2+adx^2+3x+bdx+3d=x^3+6x^2+11x+12

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bx^2+adx^2=6x^2

x^2(b+ad)=6x^2

b+ad=6

b+(1)d=6

b+d=6

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x(3+bd)=11x

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b=6-d

3+(6-d)d=11

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3-11+6d-d^2=0

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a+2b-d=1+2(2)-2=1+4-2=5-2=3

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3 years ago
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Answer:

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2) The slope of the given equation, shows that the elevation decreases, by (-)11 feet for each increase in time by one second

3) The y-intercept gives the initial elevation of the balloon at time t = 0 seconds

The x-intercept gives the final elevation of the balloon when it lands at time t = 30 seconds

Step-by-step explanation:

1) The function modelling the height of the balloon is h(x) = -11x + 330

Where;

x = The time of elevation of the balloon

The data for the graphing derived from Microsoft Excel are as follows

x    {}   h(x)

0    {}   330

5    {}   275

10    {}  220

15    {}  165

20    {}  110

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Please find attached, the graph of the function

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Comparing the given function to the general equation of a straight line, y = m·x + c, we have that the slope, m = -11

2) The slope of a straight line graph gives the rate of change of the dependent variable, per unit change in the independent variable

Therefore, the slope of the given equation, -11 gives the rate of change of the function per unit increase in the independent variable x

Therefore, the elevation decreases, by (-)11 feet for each increase in time by one second

3) The y-intercept gives the initial elevation of the balloon at time t = 0 seconds

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