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rodikova [14]
3 years ago
5

What’s the first two steps to solve the equation 4 (2x - 3) = 1

Mathematics
1 answer:
Paladinen [302]3 years ago
4 0

Answer:

1. Dividing both sides by 4

2. Adding 3 to each side

Step-by-step explanation:

The first step you want to take is to divide both sides by 4 so that you can solve for inside the parenthesis. Next, you should add three to both sides in order to isolate the variable.

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A food packet is dropped from a helicopter and is modeled by the function f(x) = −15x2 + 6000. The graph below shows the height
melisa1 [442]

General Idea:

Domain of a function means the values of x which will give a DEFINED output for the function.

Applying the concept:

Given that the x represent the time in seconds, f(x) represent the height of food packet.

Time cannot be a negative value, so

x\geq 0

The height of the food packet cannot be a negative value, so

f(x)\geq 0

We need to replace -15x^2+6000 for f(x) in the above inequality to find the domain.

-15x^2+6000\geq 0 \; \;  [Divide \; by\; -15\; on\; both\; sides]\\ \\ \frac{-15x^2}{-15} +\frac{6000}{-15} \leq \frac{0}{-15} \\ \\ x^2-400\leq 0\;[Factoring\;on\;left\;side]\\ \\ (x+200)(x-200)\leq 0

The possible solutions of the above inequality are given by the intervals (-\infty , -2], [-2,2], [2,\infty ). We need to pick test point from each possible solution interval and check whether that test point make the inequality (x+200)(x-200)\leq 0 true. Only the test point from the solution interval [-200, 200] make the inequality true.

The values of x which will make the above inequality TRUE is -200\leq x\leq 200

But we already know x should be positive, because time cannot be negative.

Conclusion:

Domain of the given function is 0\leq x\leq 200

4 0
3 years ago
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What is the approximate area of a regular pentagon with a side length of 6 feet and a distance from the center to a vertex of 6
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A vertical shift adds/subtracts a constant to/from every y-coordinate while leaving the x-coordinate unchanged. A horizontal shift adds/subtracts a constant to/from every x-coordinate while leaving the y-coordinate unchanged. Vertical and horizontal shifts can be combined into one expression.

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Yes, all of the rhombuses have 2 pairs of parallel side.





4 0
3 years ago
Please help with the problem below
Andrej [43]

Answer:

ow that so hard

Step-by-step explanation:

wait let me see the answer i well search it

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