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3 years ago

Must a function that is decreasing over a given interval always be negative over that same interval ? Explain

Mathematics

2 answers:

lyudmila [28]3 years ago

8 0

Answer:

For a function to be decreasing over an interval, the outputs on the function are getting smaller as the inputs of the function are getting larger, but the outputs could be positive or negative. For a function to be negative over an interval, the outputs must be negative, while the inputs could be positive or negative.

Leno4ka [110]3 years ago

5 0

Check the picture below.

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Tan2(θ) − 3 = 0 Find all solutions for the given equation.

kondaur [170]

Hello :
tan²(θ) = 3.. equi : tan(θ) = √3 or tan(θ) = -√3
1 ) tan(θ) = √3
tan(θ) = tan(π/3)
θ = π/3 +kπ k in Z
2)tan(θ) = -√3
tan(θ) = tan(-π/3)
θ = -π/3 +kπ k in Z

4 0

2 years ago

The ratio of the longer side of a rectangle to its shorter side is 4 to 3. If the shorter side of the rectangle is 21ft, what is

Eduardwww [97]

Answer:

28 ft

Step-by-step explanation:

Let longer side of rectangle be $L$ and the shorter side be $S$ , thus we can write the ratio:

$\frac{L}{S}=\frac{4}{3}$

Now putting 21 into S, we solve for L:

$\frac{L}{21}=\frac{4}{3}\\3L=4*21\\3L=84\\L=\frac{84}{3}=28$

Hence, length of longer side is 28 ft.

5 0

2 years ago

Read 2 more answers

You measure the weight of 38 bags of nuts, and find they have a mean weight of 78 ounces. Assume the population standard deviati

Ket [755]

Answer: The maximal margin of error is 4.822.

Step-by-step explanation:

Since we have given that

Number of bags = 38

Sample mean = 78 ounces

Standard deviation = 14.5 ounces

At 96% confidence interval for the true population mean bags of nut weight.

So, z = 2.05

As we know that formula for "Margin of error":

$z\times \dfrac{\sigma}{\sqrt{n}}\\\\=2.05\times \dfrac{14.5}{\sqrt{38}}\\\\=4.822$

Hence, the maximal margin of error is 4.822.

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3 years ago

Sally needs 2 cups of flour to make her cake. She has 1 cups of flour. How much flour will she need to borrow to have enough to

bulgar [2K]

She needs one more cup of flower

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3 years ago

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10 POINTS WILL MARK BRAINLIEST Find the restriction on y=2x^2-8

borishaifa [10]

X cannot equal +2, and can't be -1. If you factor it, then you notice you get 2(x+2)(x-2). If you use either one for the x, one will be zero and the won't, and vise-versa.

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3 years ago