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UNO [17]
3 years ago
13

Graph f(x)=2x+1 and g(x)=−x+7 on the same coordinate plane.

Mathematics
1 answer:
kogti [31]3 years ago
3 0
Answer: 
x = 2

2x + 1 = -x +7           Add and subtract 
3x = 6                                divide
x = 2
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What is the Factor 4m^3-32n^3
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Answer:

2(47m^3-16n^3)

Step-by-step explanation:

7 0
3 years ago
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
Read 2 more answers
Can u break it down and help me answer 13 and 15 thx
olya-2409 [2.1K]
13) The product is a name for the answer to a multiplication question.
6.65*10,000
=66500 (the decimal point moved 4 places to the right (you're multiplying) since they're 4 zeros in 10,00)

15) The quotient is a name for the answer to a division question.
2.374/100
=0.02374 ( the decimal point moved 2 places to the left ( you're dividing) since they're 2 zeros in 100)

Hope this helps! A thanks/brainiest answer would be appreciated :)




3 0
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Ivan
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Solve for x. 26x2–9x=0
Lilit [14]

Answer:

x=0;x=\frac{9}{26}

Step-by-step explanation:

assuming you meant 26x^2-9x=0:

26x^{2} -9x=0\\x(26x-9)=0\\x=0;x=\frac{9}{26}

3 0
2 years ago
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