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Nina [5.8K]
3 years ago
10

Hey can you please help me posted picture of question

Mathematics
1 answer:
Ipatiy [6.2K]3 years ago
8 0
Vertex: V=(-2,-3)=(h,k)→h=-2, k=-3
The parabola is horizontal, then its equation has the form:
x=a(y-k)^2+h
x=a(y-(-3))^2+(-2)
x=a(y+3)^2-2

When the y-value is -2, the x-value is -5:
-5=a(-2+3)^2-2
-5=a(1)^2-2
-5=a(1)-2
-5=a-2
-5+2=a-2+2
-3=a
a=-3

Answer: The coefficient of the squared term in the parabola's equation is a=-3

Answer: Option D. -3
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What is the probability that the system does not have a type 2defect?b.What is the probability that the system has both type 1 a
Lana71 [14]

Answer:

a.  0.93 b. 0.06 c. 0.05

Step-by-step explanation:

Probability is commonly known as the chance of success of a particular event. The probability of failure of the event can also be estimated.

(a) Probability of not having type 2 defect is: P(A_{2}^{'})  = 1 - P(A_{2}) = 1 - 0.07 = 0.93

(b) Probability of having type 1 and 2 defects is: P(A_{1} n A_{2}) = P(A_{1}) + P(A_{2}) - P(A_{1}U A_{2}) = 0.12 + 0.07 - 0.13 = 0.06

(c) probability pf having both type 1 and type 2 defects but not type 3 defect is:

P(A_{1} + A_{2} + A^{'} _{3}) = P(A_{1} n A_{2}) - P(A_{1} n A_{2} n A_{3}) = 0.06 - 0.01 = 0.05

3 0
3 years ago
PLEASE HELP ME!
-Dominant- [34]

Answer:

a/8 = b/15

Step-by-step explanation:

a/b = 8/15  -- divide both side by 8 and multiple both side by b

a/8 = b/15

6 0
3 years ago
Solve the equation 2x3 + 7x2 – 10x – 24 = 0 in the real number system.
Rom4ik [11]

Answer:

x = 2

x = -4

x = -3/2

Step-by-step explanation:

We need to find the roots of the equation

2x^3 + 7x^2 – 10x – 24 = 0

We can factorize the equation into

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

Roots

x = 2

x = -4

x = -3/2

The answer to your question is also attached in the images below

4 0
3 years ago
Read 2 more answers
At a bake sale, as student spent $11.00 buying 3 brownies and 5 cookies. His friend spent $3.95 buying 1 brownie and 2 cookies.
dybincka [34]

Answer:

$2.25

Step-by-step explanation:

Let "b" be the price of 1 brownie and "c" the price of 1 cookie.

At a bake sale, a student spent $11.00 buying 3 brownies and 5 cookies. Symbolicaly,

3 b + 5 c = 11.00   [1]

His friend spent $3.95 buying 1 brownie and 2 cookies. Symbolicaly,

1 b + 2 c = 3.95

b = 3.95 - 2c   [2]

If we replace [2] in [1], we get

3 (3.95 - 2c) + 5 c = 11.00

11.85 - 6c + 5c = 11.00

c = 0.85

If we replace c = 0.85 in [2], we get

b = 3.95 - 2 (0.85) = 2.25

8 0
3 years ago
6,10,14 ... Find the 30th term.
andriy [413]

Answer:

<h2>          a₃₀ = 120</h2>

Step-by-step explanation:

a_n=a_1+d(n-1)\\\\\\10-6=4 \ \ and\ \ 14-10=4\quad\implies\qquad d=4\\\\a_1=6\\\\\\a_{30}=6+4(30-1)=122

7 0
2 years ago
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