All categories

3 years ago

Interval does h have a negative average of change

Mathematics

1 answer:

NikAS [45]3 years ago

8 0

The average rate of change over some interval [a, b] is equal to the slope of the secant line from (a, h(a)) to (b, h(b)).

h(t) is a quadratic function, so its graph is a parabola, and in particular it's one that has a minimum of -4 when t = 2.

The secant line over an interval [a, b] will have a negative slope if the distance from a to 2 is larger than the distance from b to 2.

(A) If a = 4 and b = 5, then |a - 2| = 2 and |b - 2| = 3, so the slope and hence average rate of change is positive.

(B) If a = -1 and b = 5, then |a - 2| = 3 and |b - 2| = 3, so this ARoC is zero.

(D) If a = -1 and b = 4, then |a - 2| = 3 and |b - 2| = 2, so this ARoC is negative.

You might be interested in

Which of these statements is true for f(x)=3*2? A. It is always decreasing. B. The y-intercept I (0,1). C. The domain is x >0

IceJOKER [234]

none

are you sure that is the right equation

4 0

3 years ago

Read 2 more answers

The area of rectangular field is 1440 sq meters and perimeter is 152 metre. Out of length or breadth which one is to be decrease

Arturiano [62]

Answer:

If Length is decreased by 10% then it would become a square.

Step-by-step explanation:

Given:

Area of Rectangular field = 1440 sq. m

Perimeter = 152 m.

We need to find which one needs to be decreased by what percentage to make it a square.

Solution:

Let length be denoted by 'l'.

Also Let width be denoted by 'w'.

Now we know that Area of rectangular field is given by Length times width.

framing in equation form we get;

$l\times w = 1440 \ \ \ \ equation\ 1$

Also we know that Perimeter of rectangular field is given by 2 times sum of Length and width.

framing in equation form we get;

$2(l+w) =152\\\\l+w =\frac{152}{2}\\\\l+w=76\\\\l=76-w \ \ \ \ equation \ 2$

Now Substituting equation 2 in equation 1 we get;

$l\times w =1440\\\\(76-w)w=1440\\\\76w-w^2=1440\\\\w^2-76w+1440 =0$

Now we will find the root by factorizing the same we get;

$w^2-36w-40w+1440=0\\\\w(w-36)-40(w-36)=0\\\\(w-36)(w-40) =0 \\$

Now solving for each to find the value of 'w' we get;

$w-36 =0\\\\w=36\\\\also \\\\w-40=0\\\\w=40$

So We can say that;

Width = 36 m and Length = 40 m

Now we need to find out of length or breadth which one is to be decreased by what percentage to make it a square.

We know that square has all sides same.

So from the data we found we can say that if length is decreased by 4 then length and breadth(width) both will be equal.

So to find percentage decreased we will divide length to be decreased by total length and then multiply by 100.

framing in equation form we get;

percentage decreased = $\frac{4}{40}\times 100 = 10\%$

Hence If Length is decreased by 10% then it would become a square.

6 0

3 years ago

PLEASE HELP Adam has a rectangular swimming pool. He fills it with water to a depth of 5 feet. The water has a VOLUME of 1200 cu

PSYCHO15rus [73]

Step-by-step explanation:

Given that,

The depth of the pool is, h = 5 feet

Volume of the pool, V = 1200 cubic feet

We need to find the possible values for the dimensions of the pool. We know that the volume of a rectangle is given by :

$V=lbh$

Where

l and b are length and breadth

So,

$lb=\dfrac{V}{h}\\\\lb=\dfrac{1200}{5}\\\\lb=240$

The first possibillity for dimension is (10×24). Another can be (12×20).

6 0

2 years ago

Can someone solve this? Please!!!!<br> You just need to solve for X in the drawing

Nadya [2.5K]

Answer:

3y and 1y

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

Assistance required pleasssse help!

nexus9112 [7]

Answer:

system of function:

f(x)=.5x+6

f(x)=x^2; x > 2

Step-by-step explanation:

there's a screenshot attached. Explanation: I'm using desmos and just type the functions like what the screenshot did to graph the piecewise function made by two functions

8 0

3 years ago