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kotegsom [21]
3 years ago
9

Find the solution to the system of equations. Select all that apply. Y=x^2-2x-3. Y=x-3

Mathematics
1 answer:
sukhopar [10]3 years ago
6 0

Answer:

The solution to the system of equations are (0 , -3) ⇒ answer B and

(3 , 0) ⇒ answer D

Step-by-step explanation:

* Lets explain the problem

- The quadratic equation represented by parabola

- The linear equation represented by line

- If the two equation solved together, then we have 3 types of solutions

# They intersected in two different points (2 solution)

# They intersected in one point (1 solution)

# They did not intersect in any points (No solution)

* Now lets solve the problem

∵ The quadratic equation is y = x² - 2x - 3

- It represented by parabola (red graph)

∵ The linear equation is y = x - 3

- It represented by line (blue graph)

- The two graphs intersect each other at points (3 , 0) and (0 , -3)

∵ The solution of the system of the equation is the intersection points

  between the two graphs

∵ The two graphs intersect each other at points (3 , 0) and (0 , -3)

∴ The solution to the system of equations are (3 , 0) and (0 , -3)

* The solutions are B and D

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NeX [460]

Answer:

f(-9)=\frac{131}{2}

Step-by-step explanation:

In order to evaluate a function at a given x-value, plug in that value into the actual function

f(x)=-\frac{x}{2} -7x-2\\\\f(-9)=-\frac{9}{2} -7(-9)-2\\\\f(-9) = \frac{131}{2}

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What is the place of the 9 in the number 5,948,003
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Use the Venn diagram to calculate probabilities. Circles A and B overlap. Circle A contains 15, circle B contains 10, and the in
grin007 [14]

Answer:

(B) P(B)=\dfrac{16}{31}

Step-by-step explanation:

From the Venn diagram, n(AUB)=31

The given probabilities in the option are calculated below:

P(A)=\dfrac{21}{31}\\\\P(B)=\dfrac{16}{31}\\\\P(A|B)=\dfrac{P(A\cap B)}{P(B)}= \dfrac{6/31}{16/31} =\dfrac{6}{16}=\dfrac{3}{8} \\\\P(B|A)=\dfrac{P(B\cap A)}{P(A)}= \dfrac{6/31}{21/31} =\dfrac{6}{21}=\dfrac{3}{7}

The only correct option is the probability of B which is \frac{16}{31}

8 0
3 years ago
)Elliot has been running a lawn care business since 2000. He cuts grass, trims, and weed whacks yards for his customers througho
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Answer:

Rate of change = (1350 - 750)/(2010 - 2000) = 600/10 = $60

Initial value = $750

Equation is y = 60x + 750; where y is the amount charged to customer and x is the number of years from 2000.

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Find f(1/3) if f(n)=3n
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F(n)=3n
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Hope I didn't mess up for your sake
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