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2 years ago

What’s the equivalent expression

Mathematics

1 answer:

r-ruslan [8.4K]2 years ago

4 0

Answer:

9 (2 a - 3)^2

Step-by-step explanation:

Simplify the following:

(6 a - 9)^2

Hint: | Factor out the greatest common divisor of the coefficients of 6 a - 9.

Factor 3 out of 6 a - 9:

(3 (2 a - 3))^2

Hint: | Distribute exponents over products in (3 (2 a - 3))^2.

Multiply each exponent in 3 (2 a - 3) by 2:

3^2 (2 a - 3)^2

Hint: | Evaluate 3^2.

3^2 = 9:

Answer: 9 (2 a - 3)^2

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Antonia incorrectly solves the equation −2(14−54a)=6 . Her work is shown below.

bekas [8.4K]

Answer:

For the yes/no bit:

step 1: no

step 2: no

step 3: yes

step 4: yes

step 5: no

for the final answer bit: a = 2 3/5 (the last option)

Step-by-step explanation:

yes/no bit:

step 1 is wrong because she didn't multiply $-\frac{5}{4}a$ by -2

step 2 is wrong because she subtracted 1/2 instead of adding it

step 3 is correct because 6 - 1/2 = 11/2

step 4 is correct because she correctly multiplied both sides by 4

step 5 is wrong because she added 5 instead of dividing by -5.

for the final answer bit, I've attached an image below with my working out. hope this helps!

6 0

2 years ago

Help for question 1 and 2

AnnyKZ [126]

Answer:

(1). $5^{4}$ × $13^{7}$ ; (2). 3 - 5x

Step-by-step explanation:

1). [( - 5 )³ · ( - 5 )] ( $13^{-2}$ · $13^{9}$ ) = $(-5)^{3+1}$ × $(13)^{-2+9}$ = $(-5)^{4}$ × $13^{7}$ = $5^{4}$ × $13^{7}$

2). - 25x² ÷ 5x + 15x ÷ 5x = 3 - 5x

4 0

1 year ago

Find the domain of the function algebraically: <img src="https://tex.z-dn.net/?f=R%28x%29%3D%5Cfrac%7Bx%7D%7Bx%5E%7B2%7D

BigorU [14]

The domain of the function is all real numbers except 2 and -1

Step-by-step explanation:

Domain is the set of inputs of a function on which the function is defined.

Given function is:

$R(x) = \frac{x}{x^2-x-2}$

In case of a function involving fraction, the function is undefined if the denominator is zero so in order to find the domain of the function algebraically , we have to find the values on which the function will be undefined

$x^2-x-2 = 0\\x^2-2x+x-2 = 0\\x(x-2)+1(x-2) = 0\\(x+1)(x-2) = 0\\x+1 = 0 => x=-1\\x-2=0 = > x=2$

The function will be undefined on x=-1 and x=2

So,

The domain of the function is all real numbers except 2 and -1

Keywords: Domain, functions

Learn more about domain and functions at:

#LearnwithBrainly

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3 years ago

Please follow me iAm new in brainly

lozanna [386]

Answer:

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2 years ago

Read 2 more answers

Is Y=3x linear or non linear?

stealth61 [152]

Answer:

linear

Step-by-step explanation:

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2 years ago