Given:
Number of jelly beens in the car: 785,000
Number of jelly beans in a bag: 800

Number of bags needed to fill the car?

785,000 / 800 = 981.25

Randall claimed = more than 981 bags
Susie claimed = exactly 981 bags.

Randall is correct. More than 981 bags.

981 x 800 = 784,800

There is a missing 200 jelly beans if exactly 981 bags were used. Thus, a quarter of the 982nd bag is used to complete the 785,000 jelly beans.

4 0

2 years ago

Which of the following graphs represents the function f(x) = x4 - 2x3 - 3x2 + 4x + 1?

s2008m [1.1K]

Answer: Graph D will be correct graph for the given function.

Explanation:

Given function $f(x) = x^4-2x^3-3x^2+4x+1$

Since it is a bi-quadratic equation thus it must have 4 roots and (0,1) is one of its point.

Moreover, the degree of the function is even thus the end behavior of the function is $f(x)\to+\infty$ , as $x\to-\infty$ and $f(x)\to+\infty$ as $x\to+\infty$

In graph A, function has four root but it does not have the end behavior same as function f(x).( because in this graph $f(x)\to-\infty$ , as $x\to-\infty$ and $f(x)\to-\infty$ , as $x\to+\infty$ .) so, it can not be the graph of given function.

In graph B, neither it has four root nor it has the end behavior same as function f(x).(because in this graph $f(x)\to+\infty$ as $x\to-\infty$ and $f(x)\to-\infty$ as $x\to+\infty$ .) so, it can not be the graph of given function.

In graph C, neither it has four root nor it has the same end behavior as function f(x).(because in this graph $f(x)\to-\infty$ as $x\to-\infty$ and $f(x)\to+\infty$ as $x\to\infty$ .) so, it also can not be the graph of given function.

In graph D it has four root as well as it has the same end behavior as the given function. Also it passes through the point (0,1).

Thus, graph D is the graph of given function.

4 0

2 years ago

Read 2 more answers

Need answers to the ones that i haven’t written anything for

Trava [24]

Answer:

domain - (-infinity,infinity)

range - (-infinity, 2]

axis of sym - x=-1

y int - (0,-1)

at what value (row 1) - (-1,2)

Step-by-step explanation:

domain is side to side, it never ends bc of the arrows

range is top to bottom, there is no bottom bc of the arrow, but it has a top at 2 (the value on the y axis)

the axis of sym is basically the line that runs through the vertex, it's where you could fold it in half and it would still match up

8 0

2 years ago