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Jet001 [13]
3 years ago
9

Graph the following system of equations and find the x-coordinate of the solution.

Mathematics
1 answer:
Veseljchak [2.6K]3 years ago
5 0

The x - coordinate of the solution is x=-2

Explanation:

The two equations are $3 x+3 y=3$ and y=-\frac{1}{2} x+2

Let us determine the value of the x - coordinate using the substitution method.

Let us substitute y=-\frac{1}{2} x+2 in the equation $3 x+3 y=3$, we get,

3x+3(-\frac{1}{2} x+2)=3

Multiplying the term 3 within the bracket, we get,

3x-\frac{3}{2} x+6=3

Subtracting both sides of the equation by 6, we get,

3x-\frac{3}{2} x=-3

Taking LCM on the LHS of the equation, we get,

\frac{6x-3x}{2} =-3

Subtracting the numerator, we have,

\frac{3x}{2}=-3

Multiplying both sides of the equation by 2, we have,

3x=-6

Dividing both sides of the equation by 3, we get,

x=-2

Thus, the x - coordinate of the solution is x=-2

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A bag of dog food contains 42 cups of dog food. Your dog eats 2 1/3 cups of dog food each day. How many days does the bag of dog
leva [86]

Answer: you keep adding 2 and 1/3 to get your answer. 18 day so the dog food should last up to 18days hope this helps

Dont take my word not 100% sure

3 0
3 years ago
Without calculating, explain how many decimal places are in the product 0.6 X0.4 X 1.9. Rewrite the expression as the product of
Vladimir79 [104]
There's only one decimal point in the answer. This is quite obvious. Regardless of whether or not your adding, subtracting, dividing, or multiplying, there's really only going to be one decimal, ever. This doesn't change, However, what DOES change are decimal PLACES.

Looking at the problem, you see both .6 and .4 are placed to the right of the decimal, otherwise known as the tenths place (1/10). 

Looking at 1.9, you see you have one number (1) placed to the left of the decimal, the ones place, and another number placed to the right of the decimal (9), in the tenths place. 

Well, this is simple. You can look and see that your multiplying fractions against a whole number, which will of course make this whole number even smaller. By how much though??

Well, you can really tell this by looking at how MANY numbers are behind the decimal. You have .9, .4, and .6

That's 3 numbers behind the decimal place. This may not help you solve the problem itself, but this tells you here (ignoring the 1, that will be taken out immediately while solving and turned into a 0) that you will have 3 numbers placed from the tenths place all the way to the thousandths place.

Basically, this tells you that you'll have three decimal places to the right of the decimal. 

As for rewriting your problem to better show this, that's simple too.

All you have to do is simple multiplication, just in the tenths place. How? You know that 6*4 (referring to .6 and .4) is 24, that means that .6*.4 will be .24

How does this support your answer before? .24 has TWO numbers to the right of the decimal. That's TWO decimal places. With the .9 in 1.9, that's still THREE decimal places to the right of the decimal, and your answer would be the same.

So, here's it re-written.
1.9*.24=X

~Hope this helps!


4 0
3 years ago
How do you solve these?​
Vinil7 [7]
For the first one, the answer is -1 1/5

for the second one, the answer is 2.75


for the third one and fourth one,
To divide fractions take the reciprocal (invert the fraction) of the divisor and multiply the dividend. This is the quickest technique for dividing fractions. The top and bottom are being multiplied by the same number and, since that number is the reciprocal of the bottom part, the bottom becomes one
6 0
2 years ago
What is the square root of 50x^4
love history [14]

Answer:

5x²√2

Step-by-step explanation:

√50x^{4}

The <em>square root of x^4 is x²</em>.

The <em>square root of 50 is 5√2</em>.

Multiplying those two gives us 5x²√2

6 0
2 years ago
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