Please help, I'm stuck on this answer.

2 answers:

8 0

I agree with what that person told you. The expression -2(x+10) is equivalent to -2x-20

Multiply the outer -2 with the inner x to get -2 times x = -2x

Multiply the outer -2 with the inner term 10 to get -2 times 10 = -20

So overall, -2(x+10) = -2x-20

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So that's how we're able to go from this $-2(x+10) \ge 75$ to this $-2x-20 \ge 75$

The only thing that changes is the left side. The inequality sign will not flip. It only flips if we multiply both sides by a negative number.

erik [133]3 years ago

6 0

Answer:True

Step-by-step explanation:

Yes, you don't have to reverse the inequality symbol since the variables are not from the other side (right).

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3 years ago

The cost, C, in millions of dollars of producing T million tons of steel is modeled by the equation C = 220T + 1890.

kobusy [5.1K]

C = 220T + 1890.

Solve the equation for T.

220T = C - 1890

T = C/220 - 8.6

The steel produced is expected to be sold at a price of $310 per ton.

310 $/ton is a rate or slope. Write a linear equation where x is tons of steel produced and y is selling price of the steel.

y = 310x

Write and solve an equation to find the amount of steel produced if the selling price is equal to the cost of production.

* Here, note that the cost of production and tons of steel in the first equation is in the millions. The equation we just wrote for the selling price was in x tons of steel. This only matters in regards to the units you specify because; million/million = 1

The unit multiplier of all variables must be specified as same. Either everything is in millions or not.

Here, I'll leave everything in millions, change x (tons of steel) to T (mill tons steel) and "y" to "S" in million dollars selling price.

S = 310T

Set equal to Cost equation.

220T + 1980 = 310T

Solve for T, million tons of steel produced.

1980 = 310T - 220T

1980 = 90T

T = 1980/90

T = 22 million tons steel produced

7 0

3 years ago

The equation of line fis - 3y + 4x = 9 write the equation of a line that is parallel to line and passes through the point (- 12,

ollegr [7]

Answer:

$y = - 4x - 42$

Step-by-step explanation:

The equation of the line that is parallel to the line we are trying to find is

$- 3y + 4x = 9 \\ or \\ - 3y = - 4x + 9 \:(standard form) \\ \\therefore \: the \: slope \: of \: the \: line \\ \: is \: - 4$

We can recall that when two lines are parallel it means that they have the same slope. Therefore the slope of the line we are trying to find is also -4. We now know that:

$y = 6 \: \: \: x = - 12 \: \: \: slope = - 4$