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Sergeeva-Olga [200]
3 years ago
7

−2x=x^2 minus 6, Rewrite the equation by completing the square. please answer

Mathematics
1 answer:
Paul [167]3 years ago
4 0

Answer:

(x+1)^{2} -5

Step-by-step explanation:

-2x=x^{2} -6 \\x^{2} +2x-6\\(\frac{b}{2}) ^{2} =(\frac{2}{2}) ^{2} =1^{2} =1\\so, (x^{2} +2x+1)-6+1\\ x^{2} +2x+1=(x+1)^{2} \\-6+1=5\\(x+1)^{2} -5

Sorry it took so long

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Aria had $20 in her savings account. She went through $10. What is the balance of your savings account now?
Elena L [17]
Subtract 20 and 10. To get your answer
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3 years ago
Hellllp meeeee aaaaa
drek231 [11]

Answer:

A

Step-by-step explanation:

y = (-2/5)x + 1

By inspection of the equation, the slope of the line is -2/5 and the y-intercept is 1.

Therefore, we can immediately discount option B and D, as their y-intercepts are NOT 1.

Find the point where the line crosses the x-axis by setting the equation to 0 and solving for x:

0 = (-2/5)x + 1

⇒ -1 = (-2/5)x

⇒ -5 = -2x

⇒ x = 5/2

Therefore, the line of the function intersects the x-axis at x = 5/2 = 2.5

From inspection of the graphs, the line in option A intersects the x-axis at 2.5.  Therefore, this is the correct graph.

3 0
2 years ago
If the start time is 8:34 amd the elapsed timne is 3 hours and 18 minutes what is the end time
mr_godi [17]
Forget the '34' part of 8:34 and the '18' minutes from 3 hours and 18 minutes for now.

Just add 3 hours on to 8, to get 11. Then, bring back the 34 and 18 and add them together. 34 + 12 = 52. Now put that 52 on the end of the 11, and you get 11:52 as the end time. 
3 0
3 years ago
Read 2 more answers
Jose unlocks his cellphone by placing his right thumb on a square of 1 centimeter by 1 centimeter at the center of the screen. U
babunello [35]

Answer:

Step-by-step explanation:

We can solve this question using proportion

Perimeter of the square/Time is takes to unlock

We are told in the question that:

The cellphone unlocks when the perimeter reaches 32 centimeters, taking a total of 2.5 seconds.

Hence, the perimeter of the square after 1.5 seconds is:.x = unknown

32/2.5 = x/1.5

Cross Multiply

2.5x = 32 × 1.5

x = 32 × 1.5/2.5

x = 19.2 centimeters

4 0
3 years ago
The probability that a newborn baby at a certain hospital is male is 50%. Find the probability that 7 or 8 out of 10 babies born
marin [14]

Answer:

0.1611

Step-by-step explanation:

Uaing the binomial probability relation :

p = 0.5 ; q = 1 - p = 0.5

n = 10

Using the relation :

P(x = x) = nCx * p^x * q^(n-x)

P(x = 7) = 10C7 * 0.5^7 * 0.5^3

P(x = 7) = 0.1172

x = 8 ;

P(x = 8) = 10C7 * 0.5^7 * 0.5^3

P(x =8) = 0.0439

P(x = 7 or x = 8) = 0.1172 + 0.0439 = 0.1611

4 0
3 years ago
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