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algol [13]
3 years ago
7

Help. The graph shows the system of equations below. 2x -3y = -6 y = - 1/3x -4

Mathematics
1 answer:
OverLord2011 [107]3 years ago
8 0

9514 1404 393

Answer:

  (a) The blue line ... solution ... (-6, -2)..

Step-by-step explanation:

The second equation describes a line with negative slope and a y-intercept of -4. This is clearly the red line on the graph.

The blue line represents the equation 2x -3y = -6.

The point of intersection of the two lines is (-6, -2), so that is the solution to the system of equations. This, by itself, is sufficient for you to choose the correct answer.

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What describes a statistical sample?
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Answer:

Statistical sampling is drawing a set of observations randomly from a population distribution. ... By repeating the sampling operation a large number of times, perhaps 1000, we decrease the sampling error and increase the quality of the estimates.

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2 years ago
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∠3 and ∠6 can be classified as:
anastassius [24]

Answer:

Alternate Interior Angles

Step-by-step explanation:

Since they are inside the parallel lines, Alternate Exterior Angles and any other similar theorems can be ruled out.

Since they are on opposite sides of each other, Corresponding Angles and any other similar theorems can be ruled out.

Since they are far apart from each other, Supplementary Angles, Adjacent Angles, Vertical Angles, and any other similar definitions can be ruled out.

Therefore, we are left with Alternate Interior Angles.

6 0
3 years ago
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Is sqrt(25a^2/4) the same as sqrt(25a^2)/sqrt(4)?
Evgesh-ka [11]
LHS\\ \\ =\sqrt { \frac { 25{ a }^{ 2 } }{ 4 }  } \\ \\ ={ \left( \frac { 25{ a }^{ 2 } }{ 4 }  \right)  }^{ \frac { 1 }{ 2 }  }

\\ \\ =\frac { { \left( 25{ a }^{ 2 } \right)  }^{ \frac { 1 }{ 2 }  } }{ { 4 }^{ \frac { 1 }{ 2 }  } } \\ \\ =\frac { \sqrt { 25{ a }^{ 2 } }  }{ \sqrt { 4 }  } \\ \\ =RHS
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3 years ago
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What are the x-intercepts of the quadratic function?
maw [93]
To find the x intercept set y = 0

x^2 + x  - 2 =0 

(x+2)(x-1) = 0

x = -2 , x = 1


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Activity Give the exponential model for the following situation​
Otrada [13]

Answer:

Suppose that a couple invested $50,000 in an account when their child was born, to prepare for the child's college education. If the average interest rate is 4.4% compounded annually, ( A ) Give an exponential model for the situation, and ( B ) Will the money be doubled by the time the child turns 18 years old?

( A ) First picture signifies the growth of money per year.

( B ) Yes, the money will be doubled as it's maturity would be $108,537.29.

a = p(1 + \frac{r}{n} ) {}^{nt}a=p(1+

n

r

)

nt

a = 50.000.00(1 + \frac{0.044}{1} ) {}^{(1)(18)}a=50.000.00(1+

1

0.044

)

(1)(18)

a = 50.000.00(1 + 0.044) {}^{(1)(18)}a=50.000.00(1+0.044)

(1)(18)

a = 50.000.00(1.044) {}^{(18)}a=50.000.00(1.044)

(18)

50,000.00 ( 2.17074583287910578440507440 it did not round off as the exact decimal is needed.

a = 108.537.29a=108.537.29

Step-by-step explanation:

Hope This Help you!!

6 0
3 years ago
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