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kirza4 [7]
3 years ago
9

Solve g(-1)=x^2-5x+2

Mathematics
1 answer:
olga55 [171]3 years ago
5 0

Answer:

x = 5/2 + sqrt(17)/2 or x = 5/2 - sqrt(17)/2

Step-by-step explanation:

Solve for x:

x^2 - 5 x + 2 = 0

Subtract 2 from both sides:

x^2 - 5 x = -2

Add 25/4 to both sides:

x^2 - 5 x + 25/4 = 17/4

Write the left hand side as a square:

(x - 5/2)^2 = 17/4

Take the square root of both sides:

x - 5/2 = sqrt(17)/2 or x - 5/2 = -sqrt(17)/2

Add 5/2 to both sides:

x = 5/2 + sqrt(17)/2 or x - 5/2 = -sqrt(17)/2

Add 5/2 to both sides:

Answer:  x = 5/2 + sqrt(17)/2 or x = 5/2 - sqrt(17)/2

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The $1 coin depicts Sacagawea and her infant son. The diameter of the coin is 26.5 mm, and the thickness is 2.00 mm. Find the vo
Contact [7]

Answer

Find the volume of the coin is cubic millimeters.

To prove

Formula

Volume\ of\ cylinder\ = \pi r^{2} h

Where r is the radius and h is the height .

As given

The $1 coin depicts Sacagawea and her infant son.

The diameter of the coin is 26.5 mm, and the thickness is 2.00 mm.

Radius = \frac{Diameter}{2}

Radius = \frac{26.5}{2}

Radius = 13.25 mm

\pi = 3.14

Put in the formula

Volume  of  coin  = 3.14 × 13.25 × 13.25 × 2.00

                            = 1102.53 mm³ (approx)

Therefore the volume of the coin is 1102.53 mm³ .

7 0
3 years ago
Please help me answer this‍♂️
DerKrebs [107]

Answer:

x+x+14=90

2x=90-14

2x=76

x=38 (opp angles =)

8 0
2 years ago
which expression is equivalent to (^3sqrtm)^7 in exponential form? a) 7 m/3 b) 3 m/7 c) m 3/7 d) m 7/3
Komok [63]
(\sqrt[3]{m})^{7} = m^{ \frac{7}{3}}
5 0
2 years ago
. At a clothing store, 12 people purchased blue sweaters, 8 purchased green sweaters, 4 purchased gray sweaters, and 7 purchased
DedPeter [7]

Answer:

The probability that they purchased a green or a gray sweater is \frac{12}{31}

Step-by-step explanation:

Probability is the greater or lesser possibility of a certain event occurring. In other words, probability establishes a relationship between the number of favorable events and the total number of possible events. Then, the probability of any event A is defined as the quotient between the number of favorable cases (number of cases in which event A may or may not occur) and the total number of possible cases. This is called Laplace's Law.

P(A)=\frac{number of favorable cases}{number of possible cases}

The addition rule is used when you want to know the probability that 2 or more events will occur. The addition rule or addition rule states that if we have an event A and an event B, the probability of event A or event B occurring is calculated as follows:

P(A∪B)= P(A) + P(B) - P(A∩B)

Where:

P (A): probability of event A occurring.

P (B): probability that event B occurs.

P (A⋃B): probability that event A or event B occurs.

P (A⋂B): probability of event A and event B occurring at the same time.

Mutually exclusive events are things that cannot happen at the same time. Then P (A⋂B) = 0. So, P(A∪B)= P(A) + P(B)

In this case, being:

  • P(A)= the probability that they purchased a green sweater
  • P(B)= the probability that they purchased a gray sweater
  • Mutually exclusive events

You know:

  • 8 purchased green sweaters
  • 4 purchased gray sweaters
  • number of possible cases= 12 + 8 + 4+ 7= 21

So:

  • P(A)=\frac{8}{31}
  • P(B)=\frac{4}{31}
  • P(A⋂B) = 0

Then:

P(A∪B)= P(A) + P(B)

P(A∪B)= \frac{8}{31}+ \frac{4}{31}

P(A∪B)= \frac{12}{31}

<u><em>The probability that they purchased a green or a gray sweater is </em></u>\frac{12}{31}<u><em></em></u>

5 0
2 years ago
Which prediction can you make based on this graph?
Colt1911 [192]

Answer:more people will be living in Africa than in Asia sometime around 2120

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
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