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3 years ago

If f(x) = 4 – x2 and g(x) = 6x, which expression is equivalent to (g – f)(3)?

Mathematics

1 answer:

SVEN [57.7K]3 years ago

7 0

(g-f)(x)=g(x)=f(x)

(g-f)(x)=6x-4+x^2

(g-f)(x)=x^2+6x-4 then:

(g-f)(3)=3^2+6*3-4

(g-f)(3)=9+18-4

(g-f)(x)=23

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From a thin piece of cardboard 40 in by 40 in, square corners are cut out so that the sides can be folded up to make a box. what

lutik1710 [3]

The dimensions of the square base after cutting the corners will be (40-2x). The depth of the box will be x, so its volume is given by
V = x(40-2x)²

You can differentiate this to get
V' = 12x² -320x -1600
Setting this to zero and factoring gives
(3x-20)(x-20) = 0
The appropriate choice of solutions is
x = 20/3 = 6 2/3

The dimensions of the box of maximum volume are
26 2/3 in square by 6 2/3 in deep

The maximum volume is
(80/3 in)²(20/3 in) = 4740 20/27 in³

7 0

3 years ago

Taylor is twice as old as jessi if you add their ages together you get 27 hold old are Taylor and jessi

deff fn [24]

Answer: Taylor is 14 and Jessi is 13

Step-by-step explanation:

Since you can't divide 27 by 2, you would most likely break it in half. SInce the question states that Taylor is still older, she would be 14, and Jessi 13.

6 0

2 years ago

Phillipe has 320 pieces of

tankabanditka [31]

The number of candies that will be left over after giving everyone an equal amount is equal to 23.

Given the following data:

Total number of candy = 320 pieces

Number of classmates = 27 classmates

To calculate the number of candies that will be left over after giving everyone an equal amount:

In this exercise, you're required to determine the number of candies Phillipe would have as left over after giving everyone in his class an equal amount of candies.

<h3>How to solve this word problem.</h3>

Thus, we would find the number of times 27 would divide 320 without any remainder.

$\frac{320}{27} = 11 \frac{23}{27}$

From the mixed fraction, we can deduce that the remainder is 23.

Therefore, the number of candies that will be left over after giving everyone an equal amount is equal to 23.

Read more on word problems here: brainly.com/question/13170908

4 0

2 years ago

PLEASE HURRYmy question is in the picture

Andreyy89

The answer t our question is the first one
I just substituted he number one in every x
The original equation is equal to 147 when x equals to 1
And the first option is also equal to 147 when x equals to one

5 0

3 years ago

Read 2 more answers

Distributions and Comparing Data Project

LenKa [72]

Answer:

1. The shape of the histogram created with MS Excel is approximately bell shaped and approximately evenly spread about the central (largest counts) values

The shape of the box plot created with MS Excel is approximately evenly distributed

2. The appropriate measure of central tendency for a bell shaped histogram is the mean and median, due to the approximately equal distribution about the highest frequency class

3. Part A

The 15 numbers between 1 and 20 generated by a random generator are;

1, 8, 8, 15, 4, 18, 11, 6, 17, 1, 18, 15, 10, 12, 11

The measure of center is the mean = (1+8+8+15+4+18+11+6+17+1+18+15+10+12+11)/15 = 155/15 = 31/3

The measure of spread used is the variance, s² = 32.38

$Where, \,s^2 =\dfrac{\sum \left (x_i-\bar x \right )^{2} }{n - 1}$

${\sum \left (x_i-\bar x \right )^{2} }$ = 453.333

n = 15

s² = 453. $\overline 3$ /(15 - 1) = 32.38

Part B

The measure of central tendency are the mean and the median because the size of the data (n = 15), is 75% of the population (N = 20) nd therefore the data is approximately normal and can be represented by the mean and the standard deviation

Step-by-step explanation:

4 0

3 years ago