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myrzilka [38]
4 years ago
15

Consider the quadratic function f(x)=−x2−6x−4, which has been given a restricted domain, as shown in the following graph.

Mathematics
1 answer:
Delicious77 [7]4 years ago
7 0
Domain:
(−∞,∞),{x|x∈R}
All reall numbers
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The sum of the ages of three brothers Tema,Juma and Abdul is 65 years. Juma is twice as old as Abdul and a half times as old as
Ber [7]

Answer:

Tema = 26 years

Juma = 13 years

Abdul = 26 years

Step-by-step explanation:

Let their ages be represented as:

Tema = x

Juma = y

Abdul = z

From the question, we are told that:

Juma is twice as old as Abdul

y = 2z

z = y/2

= 0.5y

And Juma is a half times as old as Tema.

y = 1/2x

y = 0.5x

x = y/0.5

x = 2y

Hence,

x + y + z = 65

2y + y + 2y = 65

= 5y = 65

y = 65/5

y = 13 years

Since y = Zuma's age, Zuma is 13 years old

From the above question

Since 2y = z

y = 13

2 × 13 = z

z = 26

Since z = Abdul's age, Abdul is 26 years old

From the above question

x = 2y

y = 13 years

x = 2 × 13 years

x = 26 years.

Since x = Tema's age

Tema is 26 years.

Therefore, their present ages are:

Tema = 26 years

Juma = 13 years

Abdul = 26 years

7 0
3 years ago
Classic Probability
Ostrovityanka [42]

Answer:a

Step-by-step explanation:

7 0
3 years ago
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Solve 5x(x-6)(4x+9)=0
xxTIMURxx [149]
Greetings and Happy Holidays!

Solve 
for x.
5x(x-6)(4x+9)=0<span>

Distribute the parenthesis:
</span>5x(x-6)(4x+9)=0

(5x^2-30x)(4x+9)=0

(20x^3-120x^2)+(45x^2-270x)=0

Combine like terms:
20x^3-75x^2-270x=0

Factor out GCF (5x):
5x(4x^2-15x-54)=0

Factor the Complex Trinomial:
5x(4x^2+9x-24x-54)=0

5x(x(4x+9)-6(4x-9))=0

5x((4x+9)(x-6))=0

Set Factors to Equal 0:
5x=0

x=0

or

4x+9=0

4x=-9

x=\frac{-9}{4}

or

x-6=0

x=6

The Answers Are:
\boxed{x=0} \\ \boxed{x= \frac{-9}{4}} \\ \boxed{x=6}

I hope this helped!
-Benjamin

8 0
3 years ago
HURRY PLS<br><br> what number is 0.01 more than 253,498 ?
Arisa [49]

Answer:

253,498.1?

Step-by-step explanation:

7 0
3 years ago
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Matrix A = [6 -12 4 8]. What is matrix X if 1/2x=A?
Step2247 [10]

Answer:

X = \left[\begin{array}{cccc}12&-24&8&16\end{array}\right]

Step-by-step explanation:

A matrix is given by

A = \left[\begin{array}{cccc}6&-12&4&8\end{array}\right]

Now, we have to find the matrix X if \frac{1}{2} X = A

⇒ X = 2A

Now, multiplication of a constant with a matrix means multiplication with that constant with all the terms of the matrix.

So, X = \left[\begin{array}{cccc}6 \times 2&-12 \times 2&4 \times 2&8 \times 2\end{array}\right]

⇒ X = \left[\begin{array}{cccc}12&-24&8&16\end{array}\right] (Answer)

4 0
4 years ago
Read 2 more answers
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