Choose the missing step in the given solution to the inequality -x - 3 < 13 + 3x.

Mathematics

1 answer:

Naily [24]4 years ago

8 0

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Can someone plz help me thank you

rodikova [14]

7.

Direct variation is:

$\sf y=kx$

Where 'k' is the constant of variation. Let's plug in y = -6 and x = 10 into the formula:

$\sf -6=k(10)$

Divide 10 to both sides:

$\sf k=-\dfrac{3}{5}$

Plug this in for 'k' in our formula:

$\sf y=-\dfrac{3}{5}x$

This is our formula. To find out what 'y' is when 'x' = 5, plug in 5 for 'x':

$\sf y=-\dfrac{3}{5}(5)$

Multiply:

$\boxed{\sf y=-3}$

9.

Let's plug in y = 9 and x = 8 into our formula:

$\sf 9=k(8)$

Divide 8 to both sides:

$\sf k=\dfrac{9}{8}$

So our equation is:

$\sf y=\dfrac{9}{8}x$

Now let's plug in 18 for 'y' to find out what 'x' is when y = 18:

$\sf 18=\dfrac{9}{8}x$

Divide 9/8 to both sides or multiply by its reciprocal 8/9:

$\sf x=18\cdot\dfrac{8}{9}\rightarrow \boxed{\sf 16}$

6 0

3 years ago

Which product is negative?

sveticcg [70]

When I had these kinds of problems, I'd count how many negatives there were. If there more or less negatives to positives, then it is negative. If there's the same amount of positives and negatives, then it's positive since they cancel out! The answer to this is A. (-2)(-4)(8)(-1)=-64.

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3 years ago

Kareem cannot decide which of two washing machines to buy. The seling price of

Phantasy [73]

The first washing machine is 50% off- so it'd be $260 for the final price

The second washing machine was marked down by 20%, so it'd be 416. But then it was marked down another 30% so the final price would be $291

Since the first washing machine was just 50% of $520, it's a better deal rather than 20% of $520, then 30% of $416

I hope my answer was clear enough!

8 0

3 years ago

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