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saul85 [17]
3 years ago
10

The equation w^2+bw+36=0 has a unique solution if b=___ or b=____

Mathematics
1 answer:
Goryan [66]3 years ago
4 0

Answer:

At either b = -12 or b = +14, the equation has a unique solution.

Step-by-step explanation:

The quadratic equation w^2 + bw + 36 = 0 has three coefficients:  a = 1, b and c = 36.  This equation will have a unique solution (which is also real, not complex) if the discriminant b^2 - 4ac is zero.  Here b^2 - 4ac can be rewritten as

b^2 - 4(1)(36).  Setting this equal to zero, we get

b^2 - 144 = 0, which is equivalent to b^2 = 144.  Thus, b = ± 12.

At either b = -12 or b = +14, the equation has a unique solution.

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andre [41]
I think it would be nine
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3 years ago
(Q2) Which of the following points lies on the graph of the function y = 4x ?
stepladder [879]

Answer:

C

Step-by-step explanation:

I think I will answer the question the your attachment because it has full information.

The function is: y = 3*2^{x}

a. The function decreases

Wrong, because the base number is 2 and it is greater than 0. The function will go up

b. y=intercept of  (0.2)

Wrong, Let substitute x =2 into the function: y = 3*2^{2} = 12  

c. if x increase by 1, the value of y will double

Because the base number is 2. For example:

  • If x = 2, y = 3*2^{2}  = 12
  • If x =3, y =3*2^{3} =(3*2^{2}*)2  = 24

d. contains the point (2,4)

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So we choose C

5 0
3 years ago
The table shows conversions for common units of length.
Vedmedyk [2.9K]

Answer:

1 kilometer

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Step-by-step explanation:

Given data

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3 0
3 years ago
Which equation is the inverse of 5y+4 = (x+3)^2 + 1/2
Anna35 [415]
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Hope I am right.
3 0
3 years ago
Read 2 more answers
Explain why the exponents cannot be added in the product 12 to the power of three times 11 to the power of 3
egoroff_w [7]
Normally, we could add exponents.
however, that only is possible when the bases are the same
recall what exponents mean

12³=12*12*12


so we cannot add exponents for 12³*11³ because that means 12*12*12*11*11*11
it would not equal 12⁶ or 11⁶



or you  could refer to the rule
(x^a)(x^b)=x^{a+b}
notice when x=x then we can add the bases


fun fact below
we can reverse a previous exponential rule like this
since (ab)^c=(a^c)(b^c) then (a^c)(b^c)=(ab)^c
therefor
12^3*11^3=(12*11)^3



we can't add the exponents because the bases are not the same
5 0
3 years ago
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