Estimate the solution to the equation 3.1g = 20.9 to the nearest whole number.

Let f be a continuous function on the closed interval [ − 2 , 5 ]. If f((-2)=-7 and f(5)=1, then the Intermediate Value Theorem

azamat

Answer:

The function has at least 1 zero within the interval [-2,5].

Step-by-step explanation:

The intermediate value theorem states that, for a function continuous in a certain interval $[a,b]$ , then the function takes any value between $f(a)$ and $f(b)$ at some point within that interval.

This theorem has an important consequence:

If a function $f(x)$ is continuous in an interval [a,b], and the sign of the function changes at the extreme points of the interval:

$f(a)>0\\f(b)$ (or viceversa)

Then the function f(x) has at least one zero within the interval [a,b].

We can apply the theorem to this case. In fact, here we have a function f(x) continuous within the interval

[-2,5]

And we also know that the function changes sign at the extreme points of the interval:

$f(-2)=-70$

Therefore, the function has at least 1 zero within the interval [-2,5], so there is at least one point x' within this interval such that

$f(x')=0$

6 0

3 years ago

Malia is planting tomato and pepper plants in her garden each tomato plant t requires 6 square feet and each pepper plant p requ

MAVERICK [17]

Answer:

6 t + 4 p ≤ 150 is the required inequality.

Step-by-step explanation:

Here, the area required for 1 tomato plant = 6 sq ft

So, the area required to plant t tomato plants

= t x ( Area required by 1 tomato plant) = t x ( 6 sq ft) = 6 t

the area required for 1 pepper plant = 4 sq ft

So, the area required to plant p pepper plants

= p x ( Area required by 1 pepper plant) = p x ( 4 sq ft) = 4 p

Now, total area of the garden = 150 Sq ft.

Also, area of p pepper pants + t tomato plants = (6 t + 4 p) sq ft

So, now according to the question:

Total area of both plants ≤ Total area of the garden

⇒ (6 t + 4 p) sq ft ≤ 150 sq ft

or, 6 t + 4 p ≤ 150 is the required inequality.

5 0

3 years ago

Giving brainliest for this

Arisa [49]

Answer:

1. loans

2. credit

3. interest

4. total value

5.

6.

7. compound

8. principal

9.

10.

Step-by-step explanation:

I don't know what 5, 6, 9, or 10 is

7 0

2 years ago

Find the sixth term of the geometric sequence<br> 9, 18, 36, ...

timama [110]

Answer:

This is a geometric sequence because any term divided by the previous term is a constant called the common ratio. r=36/18=18/9=2 A geometric sequence is expressed as

\begin{gathered}a_n=ar^{n-1},\text{ where a=initial term, r=common ratio, n=term number}\\ \\ a_n=9(2^{n-1})\\ \\ a_6=9(2^5)\\ \\ a_6=288\end{gathered}an=arn−1, where a=initial term, r=common ratio, n=term numberan=9(2n−1)a6=9(25)a6=288

6 0

3 years ago

The steps in the heating of water in a pot kept on a stove are listed below:

butalik [34]

Answer

Step 1 and step 2

Step by step explanation

Heat can be transferred from one place to another place.

When pot kept on a stove, the heat from flame travels to the base of the pot, then heat travels from the base to the water.

Step 1: Heat from the flame travels to the base of the pot.

Step 2: Heat from the base of the pot travels to the water near its base.

Answer: C) Step 1 and Step 2

4 0

3 years ago

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