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Mama L [17]
2 years ago
5

Step by step 24-3x=-27

Mathematics
2 answers:
agasfer [191]2 years ago
5 0

For this case we have the following equation:

24-3x = -27

To solve we follow the steps below:

We subtract 24 from both sides of the equation:

-3x = -27-24\\-3x = -51

We divide between -3 on both sides of the equation:

x = \frac {-51} {- 3}\\x = 17

The value of x is 17

Answer:

x = 17

Ipatiy [6.2K]2 years ago
5 0

Answer:

\boxed{x=17}

Step-by-step explanation:

<em>Subtract by 24 from both sides.</em>

24-3x-24=-27-24

<em>Simplify</em>

-27-24=-51

-3x=-51

<em>Divide by -3 from both sides.</em>

\frac{-3x}{-3}=\frac{-51}{-3}

<em>Simplify to find the answer.</em>

-51\div-3=17

x=17, is the correct answer.

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The smiths previously lived in a house that had 1450 sq ft of space. The sq ft of their new home is 3800 sq ft. What is the perc
lana66690 [7]

Answer:

162.1%

Step-by-step explanation:

Given that:

Size of previous living space = 1450 sq ft

Size of new living space = 3800 sq ft

% increase in living space ;

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(Increase / previous size) * 100%

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2 years ago
What is the product of (x - 5) and (x - 4)? Use the model to find the result.
Romashka-Z-Leto [24]

Answer:

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Step-by-step explanation:

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3 years ago
The graph below shows the solution set of which inequality? 
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6 0
2 years ago
Can u help me ASAP. i need to know how to do it step by step​
12345 [234]

Answer:

<em>19</em>

Step-by-step explanation:

f(x) =4x^3-8x^2+ax+b has a factor 2x-1 and

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To find:Remainder when divided by (x-1)  ?

Solution:

2x-1 is a factor

2x - 1 = 0 \Rightarrow x = \frac{1}{2} when we put this value of x to the function, it will become 0.

i.e.

\Rightarrow f(\dfrac{1}{2}) =0 =4\times (\dfrac{1}2)^3-8(\dfrac{1}2)^2+\dfrac{a}{2}+b=0\\\Rightarrow \dfrac{1}{2}-2+\dfrac{a}{2}+b=0\\\Rightarrow 1-4+a+2b=0\\\Rightarrow a +2b=3 ......(1)

Remainder is 20 when f(x) is divided by x+2

i.e.

f(-2) =20

\Rightarrow f(-2) =20 =4\times (-2)^3-8(-2)^2-2a+b=20\\\Rightarrow -32-32-2a+b=20\\\Rightarrow -2a+b=84 ...... (2)

Solving (1) and (2), Multiply equation (1) by 2 and adding to (2):

5b=6+84\\\Rightarrow b = \dfrac{90}{5} = \bold{18}

By equation (1):

a+2(18) = 3\\\Rightarrow a = -33

So, the equation becomes:

f(x) =4x^3-8x^2-33x+18

\Rightarrow f(1) = 4(1) -8 (1) -33(1) +18 = \bold{19}

So, when divided by (x-1), remainder will be <em>19</em>.

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