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borishaifa [10]
3 years ago
11

What would you buy if you had $125,000?

Mathematics
1 answer:
BaLLatris [955]3 years ago
4 0

I would buy my mom a house :)

You might be interested in
Type the correct answer in each box. Use numerals instead of words.
lubasha [3.4K]

Answer:

System A has 4 real solutions.

System B has 0 real solutions.

System C has 2 real solutions

Step-by-step explanation:

System A:

x^2 + y^2 = 17   eq(1)

y = -1/2x            eq(2)

Putting value of y in eq(1)

x^2 +(-1/2x)^2 = 17

x^2 + 1/4x^2 = 17

5x^2/4 -17 =0

Using quadratic formula:

x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}

a = 5/4, b =0 and c = -17

x=\frac{-(0)\pm\sqrt{(0)^2-4(5/4)(-17)}}{2(5/4)}\\x=\frac{0\pm\sqrt{85}}{5/2}\\x=\frac{\pm\sqrt{85}}{5/2}\\x=\frac{\pm2\sqrt{85}}{5}

Finding value of y:

y = -1/2x

y=-1/2(\frac{\pm2\sqrt{85}}{5})

y=\frac{\pm\sqrt{85}}{5}

System A has 4 real solutions.

System B

y = x^2 -7x + 10    eq(1)

y = -6x + 5            eq(2)

Putting value of y of eq(2) in eq(1)

-6x + 5 = x^2 -7x + 10

=> x^2 -7x +6x +10 -5 = 0

x^2 -x +5 = 0

Using quadratic formula:

x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}

a= 1, b =-1 and c =5

x=\frac{-(-1)\pm\sqrt{(-1)^2-4(1)(5)}}{2(1)}\\x=\frac{1\pm\sqrt{1-20}}{2}\\x=\frac{1\pm\sqrt{-19}}{2}\\x=\frac{1\pm\sqrt{19}i}{2}

Finding value of y:

y = -6x + 5

y = -6(\frac{1\pm\sqrt{19}i}{2})+5

Since terms containing i are complex numbers, so System B has no real solutions.

System B has 0 real solutions.

System C

y = -2x^2 + 9    eq(1)

8x - y = -17        eq(2)

Putting value of y in eq(2)

8x - (-2x^2+9) = -17

8x +2x^2-9 +17 = 0

2x^2 + 8x + 8 = 0

2x^2 +4x + 4x + 8 = 0

2x (x+2) +4 (x+2) = 0

(x+2)(2x+4) =0

x+2 = 0 and 2x + 4 =0

x = -2 and 2x = -4

x =-2 and x = -2

So, x = -2

Now, finding value of y:

8x - y = -17    

8(-2) - y = -17    

-16 -y = -17

-y = -17 + 16

-y = -1

y = 1

So, x= -2 and y = 1

System C has 2 real solutions

4 0
3 years ago
Read 2 more answers
1. 90c : $4.50<br> 2. 80cm : 1.2m
horrorfan [7]

Answer:

see explanation

Step-by-step explanation:

Before simplifying the ratios we require them to have the same units.

(1)

$4.50 = 450c, thus

90c : $4.50

= 90 : 450 ← divide both parts by 10

= 9 : 45 ← divide both parts by 9

= 1 : 5

(2)

1.2 m = 1.2 × 100 = 120 cm, thus

80 cm : 1.2 m

= 80 : 120 ← divide both parts by 10

= 8 : 12 ← divide both parts by 4

= 2 : 3

4 0
3 years ago
Read 2 more answers
Please help need asap
Arlecino [84]

From the remainder theorem, the remainder will be -2 and the relationship between f(x) and x + 2 is an inverse relationship.

<h3>What is the remainder of the division of the given polynomial?</h3>

The remainder theorem is used to determine the remainder where a polynomial is divided by a binomial.

The remainder theorem states that if a polynomial p(x) is divided by a binomial x - a, the remainder of the division is p(a).

Given the following division, f(x)/ x + 2

We can rewrite the binomial in this form:

x + 2 = x - (-2)

The division then becomes:

f(x)/ x - (-2)

From the remainder theorem, the remainder will be -2.

Therefore, the relationship between f(x) and x + 2 is an inverse relationship such that f(2) = -2

Learn more about remainder theorem at: brainly.com/question/13328536

#SPJ1

8 0
1 year ago
A sector with an area of 11/2 pie cm has radius of 3 cm what is the central angle measure of a sector in degrees
Nikolay [14]
A= 1/360 m•pi r^2

11/2= 1/360 m• pi (3)^2

11/2= 1/360 m• pi • 9
Divide 360 by 9

11/2= 1/40 m pi

Cross multiply

440=2pi m

Divide both sides by 2pi

m= 70.02817 degrees round if necessary
6 0
3 years ago
The value of x when 2x+12/7=3x+5/4
Murrr4er [49]

Answer:

x =  \frac{13}{28}

For further explanation see the picture attached...

3 0
3 years ago
Read 2 more answers
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