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3 years ago

What is the value of the expression when y=5y=5 and z=3z=3

Mathematics

1 answer:

Mamont248 [21]3 years ago

3 0

Answer:

y = 1

z = 1

Step-by-step explanation:

y = 5y = 5

5y = 5

y = 5/5 = 1

z = 3z = 3

3z = 3

z = 3/3 = 1

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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

2 years ago

Find the value of x. Also with explanation please

ziro4ka [17]

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Stephanie took a science exam that had two parts. Part 1: She got 16 questions correct, which was 45 of the number of part 1 que

vesna_86 [32]

Given :

Stephanie took a science exam that had two parts. Part 1: She got 16 questions correct, which was 4/5 of the number of part 1 questions. Part 2: She got 16 questions correct, which was 2/3 of the number of part 2 questions.

To Find :

The total number of questions on Stephanie's exam.

Solution :

Let, number of questions in Part 1 is x :

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Therefore, total number of questions on Stephanie's exam are 20 + 40 = 60.

Hence, this is the required solution.

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