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3 years ago

If the expression ax(4x − 2y − 3) simplifies to 24x2− 12xy − 18, what must be the value of a?

Mathematics

2 answers:

almond37 [142]3 years ago

3 0

Answer:

a=6

Step-by-step explanation:

hope this helps

gregori [183]3 years ago

3 0

$\rm\red{\overbrace{\underbrace{\tt\color{orange}{\:\:\:\:\:\:\:\:Answer:\:\:\:\:\:\:\:\:\:}}}}$

$a = 6$

$ChaEunWoo2009$

#CarryOnLearning

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3 years ago

If a: b= 3:4 then find the value of<br>(6a-3b :(5a + 2b)

KengaRu [80]

Answer:

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Step-by-step explanation:

$a : b = 3 : 4 ....(given)\\ \\ let \: a = 3x \\ b = 4x \\ \\ (6a - 3b) : (5a + 2b) \\ \\ = \frac{(6a - 3b)}{(5a + 2b)} \\ \\ = \frac{6(3x) - 3(4x)}{5(3x) + 2(4x)} \\ \\ = \frac{18x- 12x}{15x+ 8x} \\ \\ = \frac{6x}{23x} \\ \\ = \frac{6}{23} \\ \\ (6a - 3b) : (5a + 2b) = 6 : 23$

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I need help with 47 and 48 please please!

sergey [27]

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3 years ago

Item 6 for what value of a is 8x−8+3ax=5ax−2a an identity?

Readme [11.4K]

Let's rewrite the expression as

$8x+3ax-5ax = 8-2a \iff 8x - 2ax = 8-2a \iff 2x(4-a) = 2(4-a)$

So, if $a \neq 4$ , you may divide both sides by $4-a$ , the equation becomes $2x=2$ , and the only solution is $x=1$ , which means that this is not an identity (an indentity is tautologically true, no matter the value of x).

If instead $a = 4$ , you are multiplying both sides by zero, so the equation becomes

$2x \cdot 0 = 2 \cdot 0 \iff 0=0$

So, it doesn't matter which value for x you choose, because you will always end up with $0=0$ , which is obviously always true.

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4 years ago