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const2013 [10]
2 years ago
7

Solve for x. Can someone please help me? :(

Mathematics
1 answer:
Alina [70]2 years ago
7 0

Step-by-step explanation:

t sins aims C stratigraphic closed-minded amity

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The line of symmetry of the parabola whose equation is y = ax^2 -4x + 3 is
alex41 [277]

Answer:

B. -1

Step-by-step explanation:

If we have a parabola whose equation is:

y=ax^{2} +bx+c

The line of symmetry is calculated as:

x=\frac{-b}{2a}

Now, we have the equation y=ax^{2}-4x+3 and the line of symmetry is x=-2

Where:

b=-4\\c=3

So, we can replace b by -4 and x by -2 and solve for a using the following equation as:

x=\frac{-b}{2a}\\-2=\frac{-(-4)}{2a}\\-2(2)a=4\\-4a=4\\a=-1

It means that the equation of the parabola is equal to:

y=-1x^{2}-4x+3

7 0
3 years ago
URGENT HELP!!!!<br> Picture included
natka813 [3]

Answer:

Length (L) = 72 feet

Step-by-step explanation:

From the question given above, the following data were obtained:

Period (T) = 9.42 s

Pi (π) = 3.14

Length (L) =?

The length of the pendulum can be obtained as follow:

T = 2π √(L/32)

9.42 = (2 × 3.14) √(L/32)

9.42 = 6.28 √(L/32)

Divide both side by 6.28

√(L/32) = 9.42 / 6.28

Take the square of both side

L/32 = (9.42 / 6.28)²

Cross multiply

L = 32 × (9.42 / 6.28)²

L = 72 feet

Thus, the Lenght is 72 feet

5 0
3 years ago
A manufacturing process produces bags of cookies. The distribution of content weights of these bags is Normal with mean 15.0 oz
NeTakaya

Answer:

100 bags

Step-by-step explanation:

S.E = σ/ √n

0.1 = 1 / √n

Square both sides

0.1² = 1² / n

0.01 = 1 / n

0.01n = 1

n = 1 / 0.01

n = 100

4 0
3 years ago
A TV set contains five circuit boards of type A, five of type B, and four of type C. The probability of failing in its first 500
nekit [7.7K]

Answer:

0.903264

Step-by-step explanation:

Given that a TV set contains five circuit boards of type A, five of type B, and four of type C. The probability of failing in its first 5000 hours of use is 0.03 for a type A circuit board, 0.04 for a type B circuit board, and 0.03 for a type C circuit board.

Let A' = the event that A fails, B' =  B fails and C'= C fails.

Probability that no circuit board fails = Prob (A'B'C')

= P(A')P(B')P(C')  (since A,B, C are independent, their complements are independent

= (1-0.03)(1-0.04)(1-0.03)

= 0.903264

8 0
3 years ago
A potter can make 24 vases in 8 days. If the potter works 6 hours each day, how long does it take to make one vase?
NikAS [45]
Answer: 2
Explaintion/
24/8 =3
6/3=2
7 0
2 years ago
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