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3 years ago

Solve: c-10+3c<2 step by step

Mathematics

1 answer:

Veronika [31]3 years ago

8 0

Answer:

c < 3

Step-by-step explanation:

We can first add 10 to both sides to remove the -10.

This is additive property of equality, where both sides must stay the same ratio, so we always use the same property on both sides unless simplifying what is already there.

So we now have c + 3c < 12.

As I mentioned less than 2 full sentences above, we can simplify without doing the same thing to both sides if it is already there, so we can add the c + 3c since it is already there.

We now have 4c < 12.

Then, we divide both sides by 4 to get c, and again mentioned about 4 sentences above, we need to divide both sides.

So we now should have c < 3.

NOTE: IF YOU HAVE A SIMILAR PROBLEM WHERE THE VARIABLE IS NEGATIVE LIKE -4a FOR EXAMPLE, THE INEQUALITY SIGN CHANGES DIRECTION. IN THIS PROBLEM, THAT IS NOT THE CASE, BUT FOR FUTURE PROBLEMS, THAT IS A MUST.

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What is the measure of the missing angle? 280 78°

nlexa [21]

Answer:

2 degrees

Step-by-step explanation:

There is 360 degrees in a circle, triangle, square, and a ton of other shapes, and 280 plus 78 gives you 358 degrees. 360 - 358 equals 2 degrees.

Hope this helps!

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3 years ago

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S_A_V [24]

Answer:

B. AA similarity postulate

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2 years ago

Simplify completely: 8x+4/x^3+23÷4x^2-10x-6/9-x^2

Helen [10]

Answer:

The simplified form is: $-x^2-2x+\frac{4}{x^3}+\frac{23}{4x^2}-\frac{2}{3}$

Step-by-step explanation:

To simplify the expression given we, need to open the brackets, and if there is power term. Then we need to group all the like terms and then arrange in the descending order of powers of the given expression.

Now the expression that is given to us is:

$8x+\frac{4}{x^3}+\frac{23}{4x^2}-10x-\frac{6}{9}-x^2$

Here we will simplify it by grouping the like terms, as follows:

$8x+\frac{4}{x^3}+\frac{23}{4x^2}-10x-\frac{6}{9}-x^2\\=-x^2+8x-10x+\frac{4}{x^3}+\frac{23}{4x^2}-\frac{6}{9}=-x^2-2x+\frac{4}{x^3}+\frac{23}{4x^2}-\frac{2}{3}$

So this is the required simplified form.

7 0

3 years ago

Find f(1/4) if f(x)=4x^2-2/3x please guys explain it to me I cant understand it

Jet001 [13]

Answer:

f(1/4) = 1/12

Step-by-step explanation:

f(x) = 4x^2 - 2/3 x is a function. The name of the function is simply the letter f. It tells you a rule. f(x) is the same as y.

It is the same as having

y = 4x^2 - 2/3 x

For each value of x you are given, you can calculate a corresponding value of y. Instead of calling y, y, we call y "f(x)" which is a way of showing that this relation is a function.

If you were given

y = 4x^2 - 2/3 x and were asked to find the value of y when x = 1/4, what would you do?

You would substitute 1/4 for x in the expression 4x^2 - 2/3 x, and you'd find the value of y.

Being asked to find f(1/4) for function f(x) = 4x^2 - 2/3 x means exactly the same. It means what is the value of the function when x = 1/4? What is the y value corresponding to an x value of 1/4?

Let's calculate it:

f(x) = 4x^2 - 2/3 x

To show we are evaluating the function at an x value of 1/4, we use the notation f(1/4). f(1/4) means find the value of y for function f when x = 1/4. We replace x with 1/4 and do the math.

f(1/4) = 4(1/4)^2 - (2/3)(1/4)

f(1/4) = 4(1/16) - 2/12

f(1/4) = 4/16 - 2/12

f(1/4) = 1/4 - 2/12

f(1/4) = 3/12 - 2/12

f(1/4) = 1/12

6 0

3 years ago

Simplify. √54 -4√75 +3√27 -√63 +3√600

laiz [17]

The answer than you are looking for is 53.84

3 0

3 years ago

Read 2 more answers