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EastWind [94]
3 years ago
5

(2x + 3)^2 - 4(2x + 3) = 0

Mathematics
1 answer:
Oliga [24]3 years ago
5 0

Answer:

x= -3/2, 1/2

Step-by-step explanation:

actor out the common term 2x+3.

(2x+3)(2x+3-4)=0

2 Solve for x

x= -3/2, 1/2

​  

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Expand and simplify (√10-√2)² Give your answer in the formn b-c√5 where b and c are integers
vesna_86 [32]

Answer:

12-4√5

Step-by-step explanation:

(√10-√2)²

(√10-√2)(√10-√2)

Foil/distribute

10-√20-√20+2

12-2√20

12-2√4*√5

12-2*2√5

12-4√5

5 0
2 years ago
What is 6.493 rounded to 6
____ [38]
The answer is 6
Brainly
8 0
2 years ago
Read 2 more answers
3(2x-7=5-(1-x) pls help me
vekshin1

Answer:

 3 • (2x - 7) -  (x + 4)  = 0

then do 3.1     Pull out like factors :

  5x - 25  =   5 • (x - 5)

 5 • (x - 5)  = 0

4.2      Solve  :    x-5 = 0

Add  5  to both sides of the equation :

                     x = 5

Step-by-step explanation:

7 0
2 years ago
What is the distance between the points (-6,5) and (8,-2) on a coordinate plane?
Naddik [55]

Distance Formula: D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2

Apply the points: D=\sqrt{(8-(-6))^2+((-2)-5)^2

Solve: D=\sqrt{(8-(-6))^2+((-2)-5)^2}\\D=\sqrt{14^2+(-7)^2}\\D=\sqrt{169+49}\\D=\sqrt{218}

Since the square root of 218 cannot be simplified, the answer is

D=\sqrt{218}

⭐ Please consider brainliest! ⭐

✉️ If any further questions, inbox me! ✉️

7 0
3 years ago
The speed at which cars travel on the highway has a normal distribution with a mean of 60 km/h and a standard deviation of 5 km/
oee [108]

The z-score of the speed value gives the measure of dispersion of the from

the mean observed speed.

The probability that the speed of a car is between 63 km/h and 75 km/h is

<u>0.273</u>.

The given parameters are;

The mean of the speed of cars on the highway, \overline x = 60 km/h

The standard deviation of the cars on the highway, σ = 5 km/h

Required:

The probability that the speed of a car is between 63 km/h and 75 km/h

Solution;

The z-score for a speed of 63 km/h is given as follows;

Z=\dfrac{x-\bar x }{\sigma }

Which gives;

Z=\dfrac{63-60 }{5 } = 0.6

From the z-score table, we have;

P(x < 63) = 0.7257

The z-score for a speed of 75 km/h is given as follows;

Z=\dfrac{75-60 }{5 } = 3

Which gives, P(x < 75) = 0.9987

The probability that the speed of a car is between 63 km/h and 75 km/h is therefore;

P(63 < x < 75) = P(x < 75) - P(x < 63) = 0.9987 - 0.7257 = 0.273

The probability that the speed of a car is between 63 km/h and 75 km/h is

<u>0.273</u>.

Learn more here:

brainly.com/question/17489087

7 0
2 years ago
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