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3 years ago

(a-12)x=a+8 if this equation has no solution and a is a constant. what is the value of a

Mathematics

1 answer:

lbvjy [14]3 years ago

6 0

Answer:

a=12

Step-by-step explanation:

If you solve for x, you divide by (a-12) to isolate x on the left side:

x = (a+8)/(a-12)

If the numerator is 0 you will be dividing by zero, which invalidates the solution. This will happen for a=12.

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Question 3 of 15

saveliy_v [14]

'D'

本题已由中国数学会官方解答（现有会员：3人）

6 0

3 years ago

Read 2 more answers

My coffee mug weighs 200 g and hold 260cm3 .

yarga [219]

The coffee mug when filled will weigh 460 g

<h3>Calculating mass</h3>

From the question, we are to determine the weight of the mug if filled with water

From the given information,

The weight of the coffee mug is 200 g and holds 260cm³.

If filled with water, the volume of the water will be 260cm³.

Now, we will determine the mass of this volume of water

Using the formula,

Density = Mass/Volume

∴ Mass = Density × Volume

Volume = 260 cm³

Density of water = 1 g/cm³

∴ Mass of the water = 1 × 260

Mass of the water = 260 g

Mass of the coffee mug when filled with water = Mass of the coffee mug when empty + Mass of water

Mass of the coffee mug when filled with water = 200 g + 260 g

Mass of the coffee mug when filled with water = 460 g

Hence, the coffee mug when filled will weigh 460 g

Learn more on Calculating mass here: brainly.com/question/17385315

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5 0

1 year ago

1 Simplify the following expressions: 1) -4(a + 2) - a

aleksandrvk [35]

1.C) -4a-8-a = -5a-8
2. C)-2 - x - 4.3= -6.3 -x
3.A) -2x+6-x-4= -3x+2
hope it helps

8 0

3 years ago

Read 2 more answers

PLEASE HELP!

Natasha_Volkova [10]

The graph first represents the provided piecewise function option first is correct.

<h3>What is a piecewise function?</h3>

The graph of a piecewise function contains numerous curve components. It signifies that it has a plethora of definitions based on the value of the input. In other words, a piecewise function behaves differently depending on the input.

We have a piecewise function shown in the picture.

$\rm y=\left\{x\le-2:\sqrt{-x-2}\right\}$

$\rm y=\left\{-2 < x < 1:\dfrac{x}{x^{2}+x-2}\right\}$

$\rm y=\left\{x\ge1:\log_{2}\left(x+1\right)\right\}$

After plotting all the pieces of a function on the coordinate plane we will get a graph the same as shown in the first option.

Thus, the graph first represents the provided piecewise function option first is correct.

Learn more about the piecewise function here:

brainly.com/question/12561612

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8 0

2 years ago

Solve.<br> 13 - 2x1 = 9<br> A. X=-3<br> B. X=6<br> C. X=-3, x = 6<br> D. x = 3, x = 6

Vlada [557]

$\huge\text{Hey there!}$

$\large\boxed{\mathsf{13 - 2x^1 = 9}}\\\\\large\boxed{\mathsf{\rightarrow 13 - 2x = 9}}\\\\\large\boxed{\rightarrow \mathsf{-2x + 13 = 9}}\\\\\large\boxed{\textbf{SUBTRACT 13 to BOTH SIDES}}\\\\\large\boxed{\mathsf{-2x + 13 - 13 = 9 - 13}}\\\\\large\boxed{\textbf{CANCEL out: 13 - 13 because it gives you 0}}\\\large\boxed{\textbf{KEEP: 9 - 13 because it help solve for the x-value}}\\\\\large\boxed{\textbf{NEW EQUATION: -2x = 9 - 13}}\\\large\boxed{\textbf{SIMPLIFY IT!}}\\\\\large\boxed{\mathsf{-2x = -4}}$

$\large\boxed{\textbf{DIVIDE -2 to BOTH SDES}}\\\\\large\boxed{\mathsf{\dfrac{-2x}{-2} = \dfrac{-4}{-2}}}\\\\\large\boxed{\textbf{CANCEL out: } \mathbf{\dfrac{-2}{-2}} \textbf{ because it gives you 1}}\\\\\large\boxed{\textbf{KEEP: } \bf \dfrac{-4}{-2} \textbf{ because it gives you the value of x}}\\\\\large\boxed{\textbf{NEW EQUATION: } \mathbf{x= \dfrac{-4}{-2}}}\\\\\boxed{\large\textsf{SIMPLIFY IT!}}\\\\\large\boxed{\textbf{x = 2}}$

$\huge\text{Therefore, your answer is: \boxed{\mathsf{x = 2}}}\huge\checkmark$

$\large\textbf{Good luck on your assignment \& enjoy your day!}\\\\\frak{Amphitrite1040:)}$

7 0

3 years ago