Please help

-1+5x≥-16 I dont know how to solve

olasank [31]

Answer: $x \ge -3$

Explanation:

Follow PEMDAS in reverse to undo what's happening to x.

We first add 1 to both sides, then divide both sides by 5 to fully isolate x.

Refer to the steps below to see what I mean.

$-1 + 5x \ge -16\\\\5x \ge -16+1\\\\5x \ge -15\\\\x \ge -15/5\\\\x \ge -3\\\\$

The inequality sign stays the same the entire time. The only time it flips is when you divide both sides by a negative number.

The solution set for x is anything -3 or larger.

If x was an integer, then we could say the solution set is {-3, -2, -1, 0, 1, 2, 3, 4, 5, 6, ...}

7 0

1 year ago

How do I solve 24(x-1) = -6(4-x)+18

podryga [215]

So the right answer is 1.

Look at the attached picture

Hope it will help you...

Good luck on your assignment

~pragya

8 0

2 years ago

Read 2 more answers

A small resort is situated on an island that lies exactly 3 miles from P, the nearest point to the island along a perfectly stra

Artemon [7]

Answer:

The distance from the shoreline from P the pipe from the island will reach land in order to minimize the total construction cost is 0 m, or the pipe should be routed to the point P

Step-by-step explanation:

We note that, cost to lay pipe in water = 2.3 × cost to lay pipe on land

Distance of the small resort on the island from point p on the shoreline = 3 miles

Location of the closest source of fresh water is 10 miles along the shoreline from p

∴ The small resort, the point p and the closest source of the fresh water on the shoreline together form a right triangle with sides

Height = 3 miles

Base = 10 miles and

Hypotenuse = $\sqrt{3^2 + 10 ^2} = \sqrt{109} = 10.44 \, m$

To find the cost of laying the pipeline by the various route, we multiply the water routes by 2.3 and the land routes by 1 and we get

Costs:

Height = Water route = 2.3 × 3 miles = 6.9

Base = Land route = 1 × 10 miles = 10

Hypotenuse = Water route = 2.3 × 10.44 miles = 24.012

Therefore, the two routes are either

10 miles to point p and 3 miles across the water to the resort with a cost = 10 + 6.9 = 16.9 or

Directly to the small resort through 10.44 miles across the water with cost = 24.012

Therefore, to minimize cost, the pipe should come from the resort to P from there to the fresh water source.

That is the distance from the shoreline from P the pipe from the island will reach land in order to minimize the total construction cost = 0 m.

7 0

3 years ago

What are the expressions to fin the radius of an object having a circumference of 46 feet

dolphi86 [110]

Since the equation for solving circumference is 2 $\pi$ r, you can see that 2 $\pi$ r = 46. Dividing 2 $\pi$ on both sides will give you r, or the radius.
Hope this helped! :)

3 0

2 years ago

C + 6 > 5c - 2 solved and proof

Elena L [17]

Hi there!

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I believe your answer is:

c < 2

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Here’s why:

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$c+6>5c - 2\\--------------\\\\\rightarrow5c - 2< c + 6 \leftarrow \text{Notice how the sides are switched.}\\\\\rightarrow 5c - c -2 < c - c + 6\\\\\rightarrow 4c -2 < 6\\\\\rightarrow 4c - 2 + 2 < 6 + 2\\\\\rightarrow 4c < 8\\\\\rightarrow \frac{4c$

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Hope this helps you. I apologize if it’s incorrect.

4 0

2 years ago