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Does the function satisfy the hypotheses of the Mean Value Theorem on the given interval? f(x) = 3x2 − 4x + 1, [0, 2] Yes, it does not matter if f is continuous or differentiable, every function satifies the Mean Value Theorem. Yes, f is continuous on [0, 2] and differentiable on (0, 2) since polynomials are continuous and differentiable on double-struck R. No, f is not continuous on [0, 2]. No, f is continuous on [0, 2] but not differentiable on (0, 2). There is not enough information to verify if this function satifies the Mean Value Theorem. If it satisfies the hypotheses, find all numbers c that satisfy the conclusion of the Mean Value Theorem. (Enter your answers as a comma-separated list. If it does not satisify the hypotheses, enter DNE). c =
General
5 months ago
Dario has 1 foot of gum. It is cut into 4 equal pieces, or quarters. Dario wants to share these 4 pieces equally among himself and 4 friends (5 people in total). Write and solve the equation for sharing the 1/4 piece of gum equally with 5 people. Please explain and show the work pls help I want to get 100% on this answer pls!
General
5 months ago
The values in the table represent a exponential function. What is the common difference of the associated geometric
General
5 months ago
Plato Help Please 35pointsStephanie is planning to build a boxed garden in her yard. She has not decided on the exact size of the garden, but Stephanie knows she wants the garden to be a rectangle with the length and width in a specific ratio. She also knows the cost of the materials needed to make the garden. Stephanie uses this information to create the following function to model the total cost, C), in dollars, to build a boxed garden that is x feet wide.C(x)=2x^2+32What is the average rate of change in the total cost to build the boxed garden as the width increases from 2 feet to 4 feet?A.$6 per foot B.$12 per foot C.$18 per foot D.$16 per foot
General
5 months ago
An item regularly priced at $80 is on sale for 20% off. There is 3% sales tax. What is the sales price before sales tax?
General
5 months ago
Describe the transformations that will map triangle A to triangle B and illustrate the similarity between the two triangles. A) rotate 90° clockwise and then translate 6 units down B) translate 4 units down and rotate 180° about the origin C) reflect the triangle across the y-axis and translate 4 units down D) reflect triangle A across the x-axis and then translate 1 unit right
General
5 months ago
What is the sum of the series?
General
5 months ago
Find the absolute maximum and absolute minimum values of f on the given interval. f(x) = ln(x2 + 2x + 4), [−2, 2] Step 1 The absolute maximum and absolute minimum values of the function f occur either at a critical number or at an endpoint of the interval. Recall that a critical number is a value of x where f '(x) = 0 or where f '(x) doesn't exist. We begin by finding the critical numbers. f '(x) =
General
5 months ago
Your friend's swimming pool is in the shape of a rectangular prism, with a length of 25 feet, a width of 8 feet, and a height of 5 feet. a. What is the volume of your friend's swimming pool? b. Your swimming pool is in the shape of a cylinder with a diameter of 16 feet and has the same volume as your friend's pool. What is the height of your pool? Round your answer to the nearest whole number. c. While you were on vacation, 6 inches of water evaporated from your pool. About how many gallons of water evaporated from your pool? ( ) 3 1 ft 7.5 gal ? Round your answer to the nearest whole number.
General
5 months ago
Find the exponential function that passes through the points (1, 3) and (2, 9). A) y = 12x B) y = 9x C) y = 6x D) y = 3x
General
5 months ago
A factory tests 100 light bulbs for defects. The probability that a bulb is defective is 0.02. The occurrences of defects among the light bulbs are mutually independent events. Calculate the probability that exactly two are defective given that the number of defective bulbs is two or fewer.
General
5 months ago
Solve the formula for converting temperature from degrees celsius to degrees fahrenheit for c? F=9/5C+32
General
5 months ago
You bought a new television that has a 92 in. 76 in. screen. It has a feature that splits the screen to allow you to watch 4 channels at once. What is the scale factor and size for each channel when this feature is turned on?
General
5 months ago
Please help! Will mark brainlyest!
General
5 months ago
Rafeal has been given a list of 5 bands and asked to place a vote. His vote must have the names of his favorite, second favorite, and third favorite bands from the list. How many different votes are possible?
General
5 months ago
In the system below, use equation (1) with equation (2) to eliminate x. Then use equation (1) with equation (3) to eliminate x. x-y-2z=4 (1) -x+3y-z=8 (2) -2x-y-4z=-1 (3) What is the new 2 × 2 system?
General
5 months ago
A decade-old study found that the proportion of high school seniors who felt that "getting rich" was an important personal goal was 72% . Suppose that we have reason to believe that this proportion has changed, and we wish to carry out a hypothesis test to see if our belief can be supported. State the null hypothesis and the alternative hypothesis that we would use for this test.
General
5 months ago
The admission fee at an amusement park is $3.50 for children and $7.00 for adults. On a certain day, 331 people entered the park, and the admission fees collected totaled $1,771.00 dollars. How many children and how many adults were admitted?
General
5 months ago
I got this question that says to Complete the table for the given rule. and that is y=5x and it says (the chart has only numbers under y so you have to find what number x is)What number is x for 4 and 2X Y0 50 40 2
General
5 months ago
In a batch of 890 calculators, 12 were found to be defective. What is the probability that a calculator chosen at random will be defective? Write the probability as a percent. Round to the nearest thence of a percent of necessary.
General
5 months ago
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