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dedylja [7]
3 years ago
9

$6.00 times 200 per day times 65.00 per day for saftey

Mathematics
1 answer:
Molodets [167]3 years ago
4 0
78,000
................
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Step-by-step explanation:

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Jessica is selling books during the summer to earn money for college. She
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In a given year, the population of Metro City is 7420, and the population is decreasing by 152 people per year. The population o
Anit [1.1K]

Answer:

The correct option is D.

Step-by-step explanation:

Let <em>x</em> denote the years.

The information provided is:

  • The population of Metro City is 7420.
  • The population is decreasing by 152 people per year.
  • The population of Smallville is consistently 1200 less than half of Metro City.

From the provided data derive the equation for the population of Smallville <em>x</em> years after as follows:

Y = [\frac{1}{2}\cdot (7420-152x)]-1200

The population of Smallville is 2282 after <em>x</em> years.

Compute the value of <em>x</em> as follows:

2282= [\frac{1}{2}\cdot (7420-152x)]-1200

\frac{7420-152x}{2}=2282+1200\\\\7420-152x=3482\times 2\\\\152x=7420-6964\\\\152x=456\\\\x=3

Thus, the time it will take for Smallville's population to reach 2282 is 3 years.

The correct option is D.

7 0
3 years ago
joe saved up 25 his mother gave him an additional 20 he boua movie that cost 15 how much money dose joe have left
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Answer: 30

Step-by-step explanation: Before Joe had $45 in total, He then spent it on a movie which is $15. So $45-$15=30

4 0
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Read 2 more answers
NO LINKS!!! What is the equation of these two graphs?​
S_A_V [24]

Answer:

\textsf{1.} \quad y=-\dfrac{1}{30}x^2+\dfrac{1}{2}x+\dfrac{68}{15}\:\:\textsf{ where}\:\:x \geq \dfrac{15-\sqrt{769}}{2}\\\\\quad \textsf{or} \quad y=2\sqrt{x+5}

\textsf{2.} \quad y=-|x+1|+5

Step-by-step explanation:

<h3><u>Question 1</u></h3>


<u>Method 1 - modelling as a quadratic with restricted domain</u>


Assuming that the points given on the graph are points that the <u>curve passes through</u>, the curve can be modeled as a quadratic with a limited domain.  Please note that as the x-intercept has not been defined on the graph, I am not including this in this first method.

Standard form of a quadratic equation:

y=ax^2+bx+c

Given points:

  • (-4, 2)
  • (-1, 4)
  • (4, 6)

Substitute the given points into the equation to create 3 equations:

<u>Equation 1  (-4, 2)</u>

\implies a(-4)^2+b(-4)+c=2

\implies 16a-4b+c=2

<u>Equation 2  (-1, 4)</u>

\implies a(-1)^2+b(-1)+c=4

\implies a-b+c=4


<u>Equation 3  (4, 6)</u>

\implies a(4)^2+b(4)+c=6

\implies 16a+4b+c=6

Subtract Equation 1 from Equation 3 to eliminate variables a and c:

\implies (16a+4b+c)-(16a-4b+c)=6-2

\implies 8b=4

\implies b=\dfrac{4}{8}

\implies b=\dfrac{1}{2}

Subtract Equation 2 from Equation 3 to eliminate variable c:

\implies (16a+4b+c)-(a-b+c)=6-4

\implies 15a+5b=2

\implies 15a=2-5b

\implies a=\dfrac{2-5b}{15}

Substitute found value of b into the expression for a and solve for a:

\implies a=\dfrac{2-5(\frac{1}{2})}{15}

\implies a=-\dfrac{1}{30}

Substitute found values of a and b into Equation 2 and solve for c:

\implies a-b+c=4

\implies -\dfrac{1}{30}-\dfrac{1}{2}+c=4

\implies c=\dfrac{68}{15}

Therefore, the equation of the graph is:

y=-\dfrac{1}{30}x^2+\dfrac{1}{2}x+\dfrac{68}{15}

\textsf{with the restricted domain}: \quad x \geq \dfrac{15-\sqrt{769}}{2}

<u>Method 2 - modelling as a square root function</u>

Assuming that the points given on the graph are points that the <u>curve passes through</u>, and the x-intercept should be included, we can model this curve as a <u>square root function</u>.

Given points:

  • (-4, 2)
  • (-1, 4)
  • (4, 6)
  • (0, -5)

The parent function is:

y=\sqrt{x}

Translated 5 units left so that the x-intercept is (0, -5):

\implies y=\sqrt{x+5}

The curve is stretched vertically, so:

\implies y=a\sqrt{x+5} \quad \textsf{(where a is some constant)}

To find a, substitute the coordinates of the given points:

\implies a\sqrt{-4+5}=2

\implies a=2

\implies a\sqrt{-1+5}=4

\implies 2a=4

\implies a=2

\implies a\sqrt{4+5}=6

\implies 3a=6

\implies a=2

As the value of a is the same for all points, the equation of the line is:

y=2\sqrt{x+5}

<h3><u>Question 2</u></h3>

<u>Vertex form of an absolute value function</u>

f(x)=a|x-h|+k

where:

  • (h, k) is the vertex
  • a is some constant

From inspection of the given graph:

  • vertex = (-1, 5)
  • point on graph = (0, 4)

Substitute the given values into the function and solve for a:

\implies a|0-(-1)|+5=4

\implies a+5=4

\implies a=-1

Substituting the given vertex and the found value of a into the function, the equation of the graph is:

y=-|x+1|+5

7 0
1 year ago
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