Which parent function is represented by the graph?

A nutrition label shows that there are 154 calories in 28

ExtremeBDS [4]

Answer:

Step-by-step explanation:

if there are 154 calories in 28 grams of cashews, it will be

154/28=5.5 calories per gram of dry cashews

if you eat 12 grams , you will eat 5.5*12=66 calories

7 0

2 years ago

Suppose the graph of a cubic polynomial function has the same zeroes and passes through the coordinate (0, -5). Write the equati

amid [387]

In this we know all three zeros and one point from which the graph pass.
So we will let specific cubic polynomial function of the form
$f(x) = a(x - x_1)(x-x_2)(x-x_3)$

As we know zeros are that point where we will get value of function equal to zero. So it is basically in form $(x_n , 0)$

SO in given question zeros are (2 , 0) , (3, 0) and (5,0)
So we can say $x_1 = 2 , x_2 = 3 , x_3 = 5$

So required equation is
$f(x) = a (x-2)(x-3)(x-5)$
              $= a[(x^2 - 2x - 3x + 6)(x-5)]$
              $= a[(x^2 - 5x+6)(x-5)]$
              $= a(x^3 - 5x^2 + 6x- 5x^2 + 25x - 30)$
              $= a(x^3 - 10x^2+31x-30)$
Now we have one point (0 , -5) from which graph passes.
So we say at x = 0 , f(x) = -5
$-5= a (0-0+0 - 30)$
$-5 = -30a$
$a = \frac{-5}{-30} = \frac{1}{6}$
So required equation of cubic polynomial is
$f(x) = \frac{1}{6}(x^3 -10x^2+31x-30)$

For finding y - intercept we simply plugin x = 0 in given equation.
As we know at x = 0 , value of function is -5.
So y - intercept is -5.

4 0

3 years ago

Read 2 more answers

Explain how the number line can

DochEvi [55]

9514 1404 393

Answer:

points closest to zero will give the least change; those farthest away will give the greatest change. Listing the points in order by distance from 0 will put them in order by amount of change.

Step-by-step explanation:

The amount of change is the absolute value of the number on the number line. That value is the (positive) distance from 0. The numbers will most easily be compared if they are all put on one side of zero. For example, -1.75 and 1.75 are the same distance from zero, as are -3.25 and 3.25.

Listing the points in order by distance from 0 will put them in order by amount of change. In order, least change to greatest change, the numbers are ...

-1.75, 2.50, -3.25, -3.50, 4.75

5 0

2 years ago

Aristotle was born in 384 BC. Ron Howard was born in 1952 AD. HOW many years apart were they born?

rodikova [14]

The answer is 2336 cause bc was before Christ ad us after death so if we add them that's the answer

6 0

3 years ago

The area of a square shaped yard is 201.5 ft2. Which measurement is closest to the side length of this yard in feet?

Aleonysh [2.5K]

Answer:

a = 14.19 feet

Step-by-step explanation:

Given that,

The area of a square shaped yard is 201.5 ft²

We need to find the side length of this yard in feet.

The area of a square shaped object is given by :

A = a², a is the side length of the object

Put A = 201.5 ft² in above formula,

$201.5=a^2\\\\a=\sqrt{201.5 } \\\\a=14.19\ \text{feet}$

So, the side of the square yard is 14.19 feet.

8 0

3 years ago