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2 years ago

Can somebody explain what the problem is explaining to me

Mathematics

1 answer:

Olin [163]2 years ago

4 0

Answer:

The problem basically is saying that find two numbers that add up to 8, where one is three times the other.

Step-by-step explanation:

The best thing to do here is to write a simple system of equations.

b+y=8

b=3y

The first equation means that the total blue paint plus the total yellow paint is equal to 8 ounces.

The second equation means that the blue paint is equal to 3 times the yellow paint.

We can isolate b in the first equation to get b=-y+8

-y+8=3y

8=4y

y=2.

So we have that she needs two ounces of yellow paint.

Therefore she needs six ounces of blue paint.

Drag the yellow bar to 2, and the blue bar to 6.

Hope this helps!

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188 m

Step-by-step explanation:

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3 years ago

Read 2 more answers

et f(x) = x + |2x − 3|. Find all solutions to the equation f(x) = 12. (Enter your answers as a comma-separated list. If an answe

Alinara [238K]

Answer:

1. {5,-9}

2.{4}

3.{9/2}

Step-by-step explanation:

The equation $f(x)=x+\lvert 2x-3 \rvert=12$ can be solved as follows:

$x+\lvert 2x-3 \rvert =12\,\,\,\text{(given equation)}$

$\lvert 2x-3 \rvert =12-x$

$2x-3=12-x\,\,\text{or}\,\,2x-3=-(12-x)$

$3x=15\,\,\text{or}\,\,\x=-9$

Then, the solutions of the equation are $x=5, x=-9$ .

Now, if $g(x)=5x-3+\lvert x+4\rvert$ , we can solve the equation $g(a)=4a+9$ as follows:

$5a-3+\lvert a+4 \rvert =4a+9$

$\lvert a+4\rvert =4a+9-5a+3$

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So, the unique solution of this last equation is $a=4$

The last equation is $h(x-1)=x-3$ , where $h(x)=\lvert x \rvert -2x+5.$ . To solve this equation we can proceed as follows:

$h(x-1)=x-3$

$\lvert x-1\rvert -2(x-1)+5=x-3$

$\lvert x-1 \rvert -2x+2+5=x-3$

$\lvert x-1\rvert =3x-10$

$x-1=3x-10\,\,\text{or}\,\,x-1=-(3x-10)$

$-2x=-9\,\,\text{or}\,\,4x=11$

$x=9/2\,\,\text{or}\,\,x=11/4$

But, x=11/4 is not a solution of this equation. So the unique solution is x=9/2.

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Answer:

Step-by-step explanation:

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3 years ago

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Answer:

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Step-by-step explanation:

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sorry im not to good at explaining haha

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