The sum of three times a number and seven is greater than twice the number minus four

1 answer:

swat323 years ago

4 0

I'm guessing you want this written as an equation, so here it is.
3n+7>2(n-4)
These can be really tricky at times, so I suggest looking for "clues" in the wording, such as add, subtract, and other things. Also look for what numbers are "paired" together, like in parentheses. Hope that this helps!

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Use the graphs of f and g to solve Exercises 87, 88, and 89.

Nadya [2.5K]

Answers and explanations:

87. The domain of added functions includes the restrictions of both. So the range of the added function in this question is [-4, 3]

88. When finding the domain of a divided function we do the same as adding, but with an extra rule: g can't equal zero. So for this question the domain is (-4, 3)

89. To graph f + g you add the y-values for each x-value. I added a picture to help explain this one!

4 0

3 years ago

Square of a binomial x^2+2x+1

garik1379 [7]

To put an equation into (x+c)^2, we need to see if the trinomial is a perfect square.
General form of a trinomial: ax^2+bx+c
If c is a perfect square, for example (1)^2=1, 2^2=4, that's a good indicator that it's a perfect square trinomial.
Here, it is, because 1 is a perfect square.
To ensure that it's a perfect square trinomial, let's look at b, which in this case is 2.
It has to be double what c is.
2 is the double of 1, therefore this is a perfect square trinomial.
Knowing this, we can easily put it into the form (x+c)^2.
And the answer is: (x+1)^2.
To do it the long way:
x^2+2x+1
Find 2 numbers that add to 2 and multiply to 1.
They are both 1.
x^2+x+x+1
x(x+1)+1(x+1)
Gather like terms
(x+1)(x+1)
or (x+1)^2.

3 0

3 years ago

Pls answer this correctly

Bingel [31]

Answer:

4 balloon would expect to be orange

3 0

3 years ago

Help please thank you

Firlakuza [10]

Answer:

(0,-3)

Step-by-step explanation:

7 0

3 years ago

Find a 75% confidence interval for the population average weight μ of all adult mountain lions in the specified region. (Round y

kupik [55]

Answer:

75% confidence interval is 91.8±16.66. That is between 75.1 and 108.5 pounds.

Step-by-step explanation:

The question is missing. It is as follows:

Adult wild mountain lions (18 months or older) captured and released for the first time in the San Andres Mountains had the following weights (pounds): 69 104 125 129 60 64

Assume that the population of x values has an approximately normal distribution.

Find a 75% confidence interval for the population average weight μ of all adult mountain lions in the specified region. (Round your answers to one decimal place.)

75% Confidence Interval can be calculated using M±ME where