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disa [49]
3 years ago
12

Rosanne earned $5 for 1/2 of an hour of babysitting. At this rate, how much would Rosanne make in 1 hour?

Mathematics
1 answer:
AleksandrR [38]3 years ago
3 0
$10 dollars because she made 5 dollars in 30 minutes so you would take it times 2
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A study on the population of wolves is being done in a county to determine how the number of wolves has changed over time. The p
mr_godi [17]

Answer:

<h2>The year is 2010.</h2>

Step-by-step explanation:

The population of wolves is given by P(t) = 80(0.98)t.

The study has began in the year of 2000 and will end in 2020.

The difference between 2000 and 2009 is 9 years and the difference between 2009 and 2020 is 11 years.

Hence, the maximum value of t is 11.

The domain is 0 \leq t \leq 11.

The population will be 80, that is P(t) = 80.

Hence, 0.98t = 1, or, t = \frac{1}{0.98} = \frac{100}{98}  = \frac{50}{49} ≅1.

In (2009 + 1) = 2010, the population of wolves will be 80.

3 0
3 years ago
The graph of the quadratic function y=-x^2-2x+3 is shown below
Karolina [17]

Answer:

The axis of symmetry is at x=-1

The graph has an x-intercept at (1,0)

The graph has a vertex at (-1,4)

Step-by-step explanation:

we have

y=-x^{2}-2x+3

Statements

case 1) The graph has root at 3 and 1

The statement is False

Because, the roots of the quadratic equation are the values of x when the value of y is equal to zero (x-intercepts)

Observing the graph, the roots are at -3 and 1

case 2) The axis of symmetry is at x=-1

The statement is True

Observing the graph, the vertex is the point (-1,4)

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

so

the equation of the axis of symmetry is x=-1

case 3) The graph has an x-intercept at (1,0)

The statement is True

see procedure case 1)

case 4)  The graph has an y-intercept at (-3,0)

The statement is False

Because, the y-intercept is the value of y when the value of x is equal to zero

Observing the graph, the y-intercept is the point (0,3)

case 5) The graph has a relative minimum at (-1,4)

The statement is False

Because, is a vertical parabola open downward, therefore the vertex is a maximum

The point (-1,4) represent the vertex of the parabola, so is a maximum

case 6) The graph has a vertex at (-1,4)

The statement is True

see the procedure case 5)

see the attached figure to better understand the problem

6 0
3 years ago
Read 2 more answers
Select the graph that does not represent two quantities in a proportional relationship.
Lerok [7]
The answer is b since it does not touch the origin! (0,0)
5 0
2 years ago
Graph the system of equations.
Y_Kistochka [10]

Answer:

Step-by-step explanation:

I cannot use the line tool for you, but I can rewrite the equations

y = -x + 4 is good enough

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x = 0 -> y = 4 gives the point (0, 4)

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6y = -18x - 6

y = -3x - 2

Two ponts for this graph:

x = 0 -> y = -2 gives the point (0, -2)

x = 1 -> y = -5 gives the point (1, -5 )

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154 - 4(1 + 6m) + 6m​
polet [3.4K]

Answer:

6(25 - 3M)

Thats the correct answer

5 0
3 years ago
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