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Sergio039 [100]
3 years ago
13

Supposef(0) = 2 and 2 ≤ f '(x) ≤ 7for all x in the interval [−5, 5]. determine the greatest and least possible values of f(2).le

ast

Mathematics
1 answer:
IgorC [24]3 years ago
7 0

If the slope of the function is 2, the amount it can change over the interval 0–2 is

... 2×2 = 4 units

If the slope is 7, the amount it can change over the interval 0–2 is

... 2×7 = 14 units


The least possible value of f(2) is 2+4 = 6.

The greatest possible value of f(2) is 2+14 = 16.

You might be interested in
The Smith family went to eat at Buffalo Wild Wings. The bill was $43.86. They gave the server a 20% tip. How much did they pay a
Marysya12 [62]
<h2>Answer:</h2>

$52.63

<h2>Step-by-step explanation:</h2>

To find 20% of $43.86 we multiply $43.86 by 0.2

$43.86 • 0.2 = $8.772

Now add $43.86 and $8.772 to find out how much the family paid altogether.

$43.86 + $8.772 = $52.632

In money the smallest place value is cents so we have to round to the hundredths place.

Doing this we get the grand answer of:

$52.63

3 0
2 years ago
0. Completa:<br>4.520.389 = 4__ +5CM + __+__+__+__+__<br>​
stira [4]

Answer:

<h2>4,520,389 = 4M + 5CM + 2DM + 3C + 8D + 9U</h2>

Step-by-step explanation:

In this proble, we defined:

  • D represents tens.
  • C represents hundreds.
  • M represents millions.
  • U is units.

So, the given number is 4,520,389, where we need to state the proper variable according to the position of each digit and its value.

4,520,389 = 4M + 5CM + 2DM + 3C + 8D + 9U

In words, the first term represents 4 millions, the second term represents 5 hundred thousands, the third term represents twenty thousands, the fourth term represents three hundreds, the fifth term represents eighty and the las term represents 9 units.

4 0
3 years ago
The Monthly Bank pays 3 percent interest, compounded monthly, on their savings accounts. The Daily Bank pays 3 percent interest,
Novosadov [1.4K]

Answer:

The amount that we should deposit in each bank is around $942.

Step-by-step explanation:

Case 1:

A=$1000

n = 12

t = 2

r = 3% or 0.03

p = ?

The compound interest formula is :

A=p(1+\frac{r}{n})^{nt}

Substituting values in the formula;

1000=p(1+\frac{0.03}{12})^{12\times2}

=> 1000=p(1.0025)^{24}

=> 1000=1.06175p

p=\frac{1000}{1.06175}

p = $941.84

Case 2:

A=$1000

n = 365

t = 2

r = 3% or 0.03

p = ?

1000=p(1+\frac{0.03}{365})^{365\times2}

=> 1000=p(1.0000822)^{730}

=> 1000=1.06184p

p=\frac{1000}{1.06184}

p = $941.76

The amount that we should deposit in each bank is around $942.

5 0
3 years ago
Read 2 more answers
Simple interest ending balance $41,900 at 4% for 2 years?
VARVARA [1.3K]
<h3><u>Answer:</u></h3>

The simple interest is $3352.

<h3><u>Step-by-step explanation:</u></h3>

Using PRT/100, we can find the interest.

  • => 41,900 x 4 x 2/100
  • => 419 x 4 x 2
  • => $3352
<h3><u>Conclusion:</u></h3>

Therefore, the simple interest is $3352.

Hoped this helped.

BrainiacUser1357

3 0
2 years ago
2028.863 rounded to the nearest hundredth
ASHA 777 [7]

Answer:

2028.863 to the nearest hundredth

The Number In The Hundredth Place Is 6 And The The Number Following Is 3 And Because Its Less Than 5, The 6 Will Remain.

So Its 2028.86

3 0
3 years ago
Read 2 more answers
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