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3 years ago

Solve 7x + 6 > 1 + 2x

2 answers:

8 0

Here we have an inequality in terms of x, with x on both sides. However, we can treat it as a straightforward equation in as much as we can use our standard operations as long as we do the same to both sides. Here, as we want to get all the terms with x on the same side, and everything else on the other (as we are solving an inequality in terms of x after all), we can subtract 2x from both sides, and subtract 6 from sides. This leaves us the new inequality (which means the same) of 5x>-5. We can simplify this further by dividing each side by 5, leaving x>-1, which is our final answer. We can show this on a graph also, if asked, like so...

professor190 [17]3 years ago

5 0

7x+6>1+2x

subtract 2x from each side:

5x+6>1

subtract 6 from each side:

5x>-5

divide each side by 5:

x>-5/5

x>-1

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Find the values of x for which the combined function h(x) = is undefined if f(x) = 5x + 1 and g(x) = x2 - 9.

Rama09 [41]

We need to know the definition of the "combined function" h(x). I'm going to guess--by looking at answers--that the function is $h(x)=\frac{f(x)}{g(x)}$ making it

$h(x)=\frac{5x+1}{x^2-9}$

This function is undefined wherever the denominator is equal to 0 (division by zero is undefined). Factor the denominator.

$h(x)=\frac{5x+1}{(x+3)(x-3)}$

The two values of x that make the denominator 0 are 3 and -3, otherwise written $x=\pm 3$ .

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3 years ago

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Volgvan

Answer:

Cost of fish = Php. 60, amount of fish = x kg
Cost of chicken = Php. 120, amount of chicken = y kg
Budget = at most Php. 1200

a) Required inequality (not a system as only one condition is given):

60x + 120y ≤ 1200

Simplified:

x + 2y ≤ 20

The graph is attached

b) Verify ordered pair (10, 7):

10 + 2*7 ≤ 20
24 ≤ 20

False inequality, so this pair is out of solution set

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3 years ago

Identifying a constant of variation question R= ?

jek_recluse [69]

Pressure and Volume are inversely related as:

$P= \frac{R}{V}$

We can also write it as:

$PV=R$

R is the constant of proportionality. Using the first row of given table, we can write:

$2(4.155)=R \\ \\ 
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Thus, the value of R, the universal gas constant is 8.31

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3 years ago

What is the next step you should take? 1 + 18n = 33

Ivahew [28]

Answer:

You need to carry the one over by subtracting 1 from 33. The new equation will be 18n = 32

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3 years ago

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