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kondaur [170]
3 years ago
12

What are the solutions to the system of equations?

Mathematics
1 answer:
Setler79 [48]3 years ago
8 0

Answer:

(3.5, 1.5) and (1, -1).

Step-by-step explanation:

As both expressions in x are equal to y we can write:

2x^2 - 8x + 5 = x - 2

2x^2 - 9x + 7 = 0

(2x - 7)(x - 1) = 0

2x - 7 = 0 or x - 1 = 0

x = 3.5,  1,

When x = 1, y = 1 - 2 = -1.

When x = 3.5, y = 3.5 - 1 = 1.5.

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Diamonds have a density of 3.5 LaTeX: \frac{g}{cm^3}g c m 3. How big is a diamond that has a mass of 0.10 g?
liubo4ka [24]

For this case we have that by definition, the density is given by:

d = \frac {M} {V}

Where:

M: It is the mass of the diamond

V: It is the volume of the diamond

According to the data of the statement we have:

d = 3.5 \frac {g} {cm ^ 3}\\M = 0.10 \ g

So the volume is:

V = \frac {M} {d}\\V = \frac {0.10 \ g} {3.5 \frac {g} {cm ^ 3}}\\V = 0.02857\\V = 0.03 \ cm^3

Thus, the volume of the diamond is approximately 0.03 \ cm ^ 3

Answer:

0.03 \ cm ^ 3

3 0
3 years ago
A circle with radius 3 has a sector with a central angle of 60.<br> What is the area of the sector?
CaHeK987 [17]

Answer:

Sector area = (central angle / 360) * PI * radius^2

Sector area = (1/6) * PI * 3^2

Sector area = 9/6 * PI

Sector area = 4.7123889804

Step-by-step explanation:

6 0
3 years ago
Struck-by injuries are produced by forcible contact or impact between the injured person and ________________.
wariber [46]
C. an object or a piece of equipment :-)
6 0
3 years ago
Read 2 more answers
What is and how do you do it?<br><br> H(x) = 4x-2<br> G(x) = x^2 -5<br><br> Find h(x) + g(x)
sineoko [7]

h(x)=4x-2\\\\(x)=x^2-5\\\\h(x)+g(x)=(4x-2)+(x^2-5)=x^2+4x+(-2-5)\\\\=x^2+4x-7

6 0
3 years ago
Solve for s.<br> 0.5s +1= 7+ 4.58<br> S =?
Lana71 [14]

Answer:

s = 21.16

Step-by-step explanation:

0.5s +1= 7+ 4.58

Combine like terms

0.5s +1=11.58

Subtract 1 from each side

0.5s +1-1= 11.58-1

.5s = 10.58

Multiply by 2

.5s *2 = 10.58*2

s = 21.16

4 0
3 years ago
Read 2 more answers
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