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ch4aika [34]
3 years ago
10

2x² + 4x + 4 + x² + 1 = 180

Mathematics
1 answer:
Tasya [4]3 years ago
5 0

Step-by-step explanation:

2 {x}^{2}  + 4x + 4 +  {x}^{2}  + 1 = 180

3 {x}^{2}  + 4x + 5 = 180

{3x}^{2}  + 25x - 21x - 175 = 0

x \times (3x + 25) - 7(3x + 25) = 0

(3x + 25) \times (x - 7) = 0

3x + 25 = 0 = x - 7 = 0

x =  -  \frac{25}{3}  = x = 7

= x_{1} =  -  \frac{25}{3} . \:  \:  x_{2} = 7

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Find the value of 1.5l²m×2.4lmn² if l = 1,m = 0.2 and n= 0.5​
Paraphin [41]

Answer:

plug in the numbers and multiply

Step-by-step explanation:

then do the exponents I hope this hleps

6 0
3 years ago
Write an exponential function that would pass through the points (2, 68.8 ) and (5, 4403.2).
zmey [24]

Answer:

y= 4.3(4)^x

Step-by-step explanation:

I went to the Desmos Graphing calculator

I then inserted a table and added the two points you gave me to it

I then performed exponential regression to find the rate of change and y-intercept.

I then took the the two values and wrote the equation

A=y-intercept

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3 years ago
The distance between the Sun and the Earth is 1 .496 x 1O^8km and distance between the Earth and lhe Moon is 3.84 x 10^8m. Durin
Dennis_Churaev [7]

Answer:

1.49216*10^8 km

Step-by-step explanation:

The first thing is to pass all the distances to the same unit system, since the distance from the earth to the sun is in kilometers and from the earth to the moon is in meters, therefore we will pass the distance of the moon in kilometers:

3.84 x 10 ^ 8m * 1 km / 1000 m = 3.84 x 10 ^ 5 km

To calculate the distance between the moon and the sun, it would be the difference between the distance they give us in the statement, because they have a point in common which is the earth, it would be:

1.496 x 10 ^ 8 km - 3.84 x 10 ^ 5 km = 149216000 = 1.49216 * 10 ^ 8 km

Therefore the distance between the moon and the sun is 1,49216 * 10 ^ 8 km

3 0
4 years ago
a set of five numbers has a mode of 24 a median of 21 a mean of 20 . work out what the numbers could be
SSSSS [86.1K]

Answer:

Step-by-step explanation:

The mode is 24 so we know that at least 2 of the 5 numbers are 24.

The mean is 20 so we know that the 5 numbers add up to 100.

The median is 21 so the third number is 21.

100-(24+24+21)= 31

Now, I am pretty certain that the last 2 numbers can be anything as long as they add up to 31 AND they are not also 21 because 24 then would no longer be the mode.

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7 0
3 years ago
Solve the problem by multiplying first.
ehidna [41]

Answer:

Number of bagels = 10

Number of donuts = 25

Step-by-step explanation:

Let Number of bagels = b

Number of donuts = d

As given,

Each donut cost $0.55 and each bagel cost $1.20

⇒ Cost of d donuts = $0.55d

   Cost of b bagels = $1.20b

Also given,

Jamian bought a total of 35 bagels and donuts

⇒ b + d = 35     ........(1)

Also,

He paid a total of  $25.75.

⇒ 1.20b + 0.55d = 25.75          .........(2)

Now,

Multiply equation (1) by 1.20 , we get

1.20( b + d = 35 )

⇒1.20b + 1.20d = 42               ..........(3)

Now,

Subtract equation (2) from equation (3), we get

1.20b + 1.20d  - ( 1.20b + 0.55d ) = 42 - 25.75

⇒1.20b + 1.20d  - 1.20b - 0.55d  = 16.25

⇒0.65d = 16.25

⇒d = \frac{16.25}{0.65} = 25

⇒d = 25

Put the value of d in equation (1) , we get

b + d = 35

⇒b + 25 = 35

⇒b = 35 - 25 = 10

⇒b = 10

∴ we get

Number of bagels = b = 10

Number of donuts = d = 25

8 0
3 years ago
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