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3 years ago

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A student has three mangos, two papayas, and two kiwi fruits. if the student eats one piece of fruit each day, and only the type

of fruit matters, in how many different ways can these fruits be consumed

1 answer:

Nezavi [6.7K]3 years ago

8 0

<span>7! / ( 3! * 2! * 2! ) = 210</span>

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Given the functions f(x) = x2 + 6x − 1, g(x) = –x2 + 2, and h(x) = 2x2 − 4x + 3, rank them from least to greatest based on their

kotegsom [21]

You can find an axis of symmmetry of quadratic function by using this formula:

$x=-\dfrac{b}{2a} \\ \\ \hbox{Where function is} \ \ f(x)=ax^2+bx+c \ \ \hbox{assuming} \ \ a\neq 0$

An axis of f(x):

$x=-\dfrac{6}{2 \cdot 1}=-\dfrac{6}{2}=-3$

Of g(x):

$x=-\dfrac{0}{2 \cdot (-1)}=\dfrac{0}{2}=0$

Of h(x):

$x=-\dfrac{-4}{2 \cdot 2}=\dfrac{4}{4}=1$

At least to greatest you've got -3, 0, 1 so f(x), g(x), h(x). Answer a

6 0

3 years ago

The volume of this prism is 4375cm3.<br> The area of the cross-section is 125cm2.<br> Work out x

fomenos

Answer:

x is 35 cm

Step-by-step explanation:

To find the value of x, we will divide the volume by the cross-section

Mathematically, that will be;

4375/125 = 35 cm

5 0

3 years ago

The table shows ordered pairs of the function y = 16 0. 5x. A 2-column table with 6 rows. The first column is labeled x with ent

zvonat [6]

Option 3 is the correct answer. The missing values of (x, y) is (8, 20).

<h3>How do you find out the values?</h3>

Given that the function is,

$y = 16 + 0.5x$

The function is a linear equation that can be solved graphically. The values of both variables x and y can be found on different points along with the straight-line graph.

Also, for every value of x, there is a corresponding value of y.

For the given options, we put the values of x to find the corresponding value of y.

For option 1, put x = 0 in the given function,

$y = 16 + 0.5\times 0\\y = 16$

But for x=0, y= 18, hence option 1 is not correct.

For option 2, put x = 5 in the given function,

$y = 16 + 0.5\times 5\\y = 18.5$

But for x=5, y= 19.5, hence option 2 is not correct.

For option 3, put x = 8 in the given function,

$y = 16 + 0.5\times 8\\y = 20$

But for x=8, y= 20, hence option 3 is the correct answer.

Hence we can conclude that option 3 is the correct answer. The missing values of (x, y) is (8, 20).

To know more about the function, follow the link given below.

brainly.com/question/5245372.

7 0

2 years ago

For every integer k from 1 to 10, inclusive the "k"th term of a certain sequence is given by (−1)(k+1)∗(12k). If T is the sum of

Katena32 [7]

Answer:

Option D. is the correct option.

Step-by-step explanation:

In this question expression that represents the kth term of a certain sequence is not written properly.

The expression is $(-1)^{k+1}(\frac{1}{2^{k}})$ .

We have to find the sum of first 10 terms of the infinite sequence represented by the expression given as $(-1)^{k+1}(\frac{1}{2^{k}})$ .

where k is from 1 to 10.

By the given expression sequence will be $\frac{1}{2},\frac{(-1)}{4},\frac{1}{8}.......$

In this sequence first term "a" = $\frac{1}{2}$

and common ratio in each successive term to the previous term is 'r' = $\frac{\frac{(-1)}{4}}{\frac{1}{2} }$

r = $-\frac{1}{2}$

Since the sequence is infinite and the formula to calculate the sum is represented by

$S=\frac{a}{1-r}$ [Here r is less than 1]

$S=\frac{\frac{1}{2} }{1+\frac{1}{2}}$

$S=\frac{\frac{1}{2}}{\frac{3}{2} }$

S = $\frac{1}{3}$

Now we are sure that the sum of infinite terms is $\frac{1}{3}$ .

Therefore, sum of 10 terms will not exceed $\frac{1}{3}$

Now sum of first two terms = $\frac{1}{2}-\frac{1}{4}=\frac{1}{4}$

Now we are sure that sum of first 10 terms lie between $\frac{1}{4}$ and $\frac{1}{3}$

Since $\frac{1}{2}>\frac{1}{3}$

Therefore, Sum of first 10 terms will lie between $\frac{1}{4}$ and $\frac{1}{2}$ .

Option D will be the answer.

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3 years ago

What is the slope of the line that passes through the points (-2,-1) and (2,-3)

MrRa [10]

Answer:

slope = -1/2

Step-by-step explanation:

3 0

3 years ago