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Maurinko [17]
3 years ago
15

Given f’(x), where is f(x) increasing? Where is f(x) concave up?

Mathematics
1 answer:
Levart [38]3 years ago
3 0

Answer:

See explanation below

Step-by-step explanation:

a. f(x) is increasing at (-∞, 1] and [7, ∞) because f'(x) is positive at those intervals.

b. f(x) is concave up at [4, ∞) because the slope of f'(x) or f''(x) is positive.

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Look at the graph shown:
lidiya [134]

Answer:

y = 3x - 1

Step-by-step explanation:

Although the coordinate plane is not given, we don't need it to find the solution. We have given all the conditions enough for the solution.

The y-intercept is (-1) and the function passes through the point ( 1, 2 ).

Only the function y = 3x -1 matches these conditions.

We can observe the points in the attached graph.

5 0
3 years ago
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ethan made a rectangular prism that has a volume of 16 cubic inches. What is one set of possible dimensions for ethans rectangul
lions [1.4K]

Answer:

  0.5 inches by 0.5 inches by 64 inches

Step-by-step explanation:

Any three positive dimensions that have a product of 16 will be a set of possible dimensions. There are an infinite number of them. One such is listed above.

(If you have a list of answer choices, you can multiply them out to see which have a product of 16. We cannot guess what your choices might be.)

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3 years ago
Unit 3: Parallel and Perpendicular Lines<br> Homework 5: Slopes of Lines
NISA [10]
Use the option number 5 and draw a parallel and perpendicular line across to make the slope of the lines collapse
5 0
2 years ago
Express 0.2631 correct to three decimal places
Ilya [14]

Answer:

0.263.

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The 4th decimal place is 1 so the third decimal places remains the same.

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2 years ago
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If the roots of a quadratic equation are 1±√5, then the product of the roots is
Drupady [299]
The plus-minus sign represents that there are two possible outcomes.

In this case, we have 1 \pm \sqrt{5}. When we branch out the possibilities we got 2 values: 1 + \sqrt{5} and 1 - \sqrt{5}

Those are the roots of this equation. When they ask their product, they want you to multiply both numbers.

When we multiply them: (1 + \sqrt{5}) \times( 1 - \sqrt{5})

When we FOIL the we get: 1 \times 1 - 1 \times \sqrt{5} + 1 \times \sqrt{5} - \sqrt{5} \times \sqrt{5}

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So the product of the two roots of this equation is 6.
5 0
3 years ago
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