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schepotkina [342]
3 years ago
12

Plz help me 75 points for the 2 questions!!!

Mathematics
1 answer:
liraira [26]3 years ago
3 0

Answer:

<h3>#1</h3>

<u>The system of equations:</u>

  • 2x + 7y = -11
  • 3x + 5y = -22

Solve by elimination.

<u>Triple the first equation, double the second one, subtract the second from the first and solve for y:</u>

  • 3(2x + 7y) - 2(3x + 5y) = 3(-11) - 2(-22)
  • 6x + 21y - 6x - 10y = -33 + 44
  • 11y = 11
  • y = 1

<u>Find x:</u>

  • 2x + 7*1 = -11
  • 2x = -11 - 7
  • 2x = -18
  • x = -9

<u>The solution is:</u>

  • x = -9, y = 1
<h3>#2</h3>

<u>Simplifying in steps:</u>

  • 8u - 29 > -3(3 - 4u)
  • 8u - 29 > - 9 + 12u
  • 12u - 8u < -29 + 9
  • 4u < -20
  • u < -5
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5x^2y

5 is the largest number to go in evenly. And the terms are limited to those. 
6 0
3 years ago
Find the midpoint of AB for: A(7,0)|and B(0,3)​
liberstina [14]

Answer:

\boxed {\boxed {\sf (\frac {7}{2}, \frac{3}{2}) \ or \ (3,5, 1.5) }}

Step-by-step explanation:

The midpoint is essentially a point with the average of the 2 x-coordinates and the 2 y-coordinates.

The formula is:

(\frac {x_1+x_2}{2}, \frac{y_1+y_2}{2})

We are given two points: A (7,0) and B (0, 3). Remember points are written as (x, y).

Therefore,

x_1= 7 \\y_1=0 \\x_2=0 \\x_2=3

Substitute the values into the formula.

(\frac {7+0}{2}, \frac{0+3}{2})

Solve the numerators first.

(\frac {7}{2}, \frac{3}{2})

The midpoint can be left like this because the fractions are reduced, but it can be written as decimals too.

(3.5, 1.5)

3 0
3 years ago
Sean's house is currently worth $188,900. According to a realtor, house prices in Sean's neighborhood will increase by 4.8% ever
mrs_skeptik [129]

Answer  

Given

Sean's house is currently worth $188,900.

According to a realtor, house prices in Sean's neighborhood will increase by 4.8% every year.

To prove

Formula

Compound\quaterly\ interest = Principle (1 + \frac{r}{4})^{4t}

Where r is the rate in the decimal form.

As given

Take\ Principle\ = P_{0}

Rate = \frac{4.8}{100}

              = 0.048

Put in the formula

Compound\quaterly\ interest = P_{0}(1 + \frac{0.048}{4})^{4t}

Compound\quaterly\ interest = P_{0} (1 + \frac{0.048}{4})^{4t}

Compound\quaterly\ interest = P_{0} (1 + 0.012)^{4t}       Compound\quaterly\ interest = P_{0} (1.012)^{4t}  

Now also calculated monthly.

Formula

Compound\ monthly = Principle (1 + \frac{r}{12})^{12t}

As given

Take\ Principle\ = P_{0}

Rate = \frac{4.8}{100}

              = 0.048

Put in the formula

Compound\ monthly = P_{0} (1 + \frac{0.048}{12})^{12t}

Compound\ monthly = P_{0} (1 + 0.004)^{12t}

Compound\ monthly = P_{0} (1.004)^{12t}

As the approximation quarterly growth rate of the value of sean's house is near the Compounded quarterly interest .

Thus Option (A) is correct.

i.e

The expression (1.0118)^{4t} reveals the approximate quarterly growth rate of the value of Sean's house.




                                               

                                                       




6 0
3 years ago
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How to simplify integers
lina2011 [118]
I don't think that you can. Integers are either positive or negative real numbers without decimals, so there isn't anything to simplify.
8 0
3 years ago
Mrs. Rodriquez has 24 students in her class. Ten of the students are boys. Jeff claims that the ratio of boys to girls in this c
dezoksy [38]
The ratio is 10:14 or 5:7 which is the ratio of boys to girls!
4 0
3 years ago
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