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Hunter-Best [27]
3 years ago
9

Which of the following are solutions to the equation below? Check all that apply. 4x2 - 12x + 9 = 5​

Mathematics
1 answer:
Anika [276]3 years ago
4 0

Step-by-step explanation:

4x² - 12x + 9 = 5 → 4x² - 12x + 4 = 0 → x² - 3x + 1 = 0

∆ = b² - 4ac → ∆ = (-3)² -4(1)(1) = 9 - 4 = 5

x = (-(-3) ± √5)/2(1) = (3 ± √5)/2

x² - 3x + 1 = 0 → (x - 3/2)² - 9/4 + 1 = 0 → (x - 3/2)² = 5/4 → x - 3/2 = ±√5 / 2 → x = ½( 3 ± √5)

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The sum of 3 consecutive odd numbers is 183. What is the third number in this sequence?
natta225 [31]

Answer:

61

Step-by-step explanation:

3x + 6 = 183

3x = 177

x = 59

(x+2) = (59+2) = 61

It is correct on khan academy

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3 years ago
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Hello I need help with this math question BRAINLIEST For the fastest correct answer​
Marizza181 [45]

Answer:

A. The temperature outisde and the number of people swimming at the beach.

Step-by-step explanation:

As the temperature decreases the number of people swimming will also decrease. This will create a negative correlation between the two factors.

4 0
2 years ago
For altitudes up to 36,000 feet, the relationship between ground temperature and atmospheric
Verizon [17]

Answer:

The equation for a is a=-\frac{2000}{7}*(t-g)

The altitute is 101,428.57 feet

Step-by-step explanation:

You know that the relationship between ground temperature and atmospheric  temperature can be described by the formula

t = -0.0035a +g

where:

  • t is the atmospheric  temperature in degrees Fahrenheit
  • a is the altitude, in feet, at which the atmospheric temperature is  measured
  • g is the ground temperature in degrees Fahrenheit.

Solving the equation for a:

-0.0035a +g=t

-0.0035a= t - g

a=\frac{t-g}{-0.0035}

a=-\frac{2000}{7}*(t-g)

<u><em>The equation for a is </em></u>a=-\frac{2000}{7}*(t-g)<u><em></em></u>

If the atmospheric temperature is -305 °F and the ground temperature is 50 °F, then t= -305 °F and g= 50 °F

Replacing in the equation for a you get:

a=-\frac{2000}{7}*(-305-50)

a=-\frac{2000}{7}*(-355)

a= 101,428.57

<u><em>The altitute is 101,428.57 feet</em></u>

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3 years ago
Modern car company has come out with a new car model. Market analysts predict that 4,600 cars will be sold in the first month an
Arte-miy333 [17]

The first five terms of the sequence are; 4,600, 4,550, 4,500, 4,450, 4,400 and the total predicted number of sold cars for the first year is 51,900 cars

<h3>Arithmetic sequence</h3>

  • First month, a = 4,600 cars
  • Common difference, d = -50 cars

First five terms;

a = 4,600

a + d = 4600 + (-50)

= 4600 - 50

= 4,550

a + 2d

= 4600 + 2(-50)

= 4600 - 100

= 4,500

a + 3d

= 4,600 + 3(-50)

= 4,600 - 150

= 4,450

a + 4d

= 4600 + 4(-50)

= 4,600 - 200

= 4,400

cars predicted for the twelfth month.

a + 11d

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= 4600 + 550

= 4,050

Total predicted number of sold cars for the first year:

Sn = n/2{2a + (n - 1)d }

= 12/2{2×4600 + (12-1)-50}

= 6{9200 + 11(-50)}

= 6(9,200 - 550)

= 6(8,650)

= 51,900 cars

Learn more about arithmetic sequence:

brainly.com/question/6561461

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