Ask question

Ask question

All categories

3 years ago

5

to rent a certain meeting room, a college charges a reservation fee of $34 an an additional fee of $6.70 per hour. the chemistry

club wants to spend less than $60.80 on renting the meeting room. what are the possible amounts of time for which they could rent the meeting room? use t for the number of hours the meeting room is rented, and solve your inequality for t.

1 answer:

AlexFokin [52]3 years ago

5 0

34 + 6.7t ≥ 60.8 subtract 34 from both sides

6.7t ≥ 26.8 divide by 6.7

t ≥ 4

they could rent it for 4 hours or less

You might be interested in

Absolute value for |27 1/4|

mr_godi [17]

Answer:

27 1/4

Step-by-step explanation:

4 0

3 years ago

Consider the following function. f(x) = 16 − x2/3 Find f(−64) and f(64). f(−64) = f(64) = Find all values c in (−64, 64) such th

VARVARA [1.3K]

Answer:

This does not contradict Rolle's Theorem, since f '(0) = 0, and 0 is in the interval (−64, 64).

Step-by-step explanation:

The given function is

$f(x)=16-\frac{x^2}{3}$

To find $f(-64)$ , we substitute $x=-64$ into the function.

$f(-64)=16-\frac{(-64)^2}{3}$

$f(-64)=16-\frac{4096}{3}$

$f(-64)=-\frac{4048}{3}$

To find $f(64)$ , we substitute $x=64$ into the function.

$f(64)=16-\frac{(64)^2}{3}$

$f(64)=16-\frac{4096}{3}$

$f(64)=-\frac{4048}{3}$

To find $f'(c)$ , we must first find $f'(x)$ .

$f'(x)=-\frac{2x}{3}$

This implies that;

$f'(c)=-\frac{2c}{3}$

$f'(c)=0$

$\Rightarrow -\frac{2c}{3}=0$

$\Rightarrow -\frac{2c}{3}\times -\frac{3}{2}=0\times -\frac{3}{2}$

$c=0$

For this function to satisfy the Rolle's Theorem;

It must be continuous on $[-64,64]$ .

It must be differentiable on $(-64,64)$ .

and

$f(-64)=f(64)$ .

All the hypotheses are met, hence this does not contradict Rolle's Theorem, since f '(0) = 0, and 0 is in the interval (−64, 64) is the correct choice.

6 0

3 years ago

Read 2 more answers

HELP ME PLEASE ASAP!!!!!!!!

sergij07 [2.7K]

Answer:

(2, 14), (3, 7)

Step-by-step explanation:

The way these angles are numbered, corresponding angle numbers differ by 4, 8, or 12.

Corresponding angles are ...

Angle 2 and Angle 14 . . . . . . numbers differ by 12

Angle 3 and Angle 7 . . . . . . . numbers differ by 4

_____

If a given angle is Northwest of the intersection, any corresponding angle will also be Northwest of its intersection. Corresponding angles are ...

northwest: {1, 5, 9, 13}

northeast: {2, 6, 10, 14}

southeast: {3, 7, 11, 15}

southwest: {4, 8, 12, 16}

Any pair of numbers from the same set will be corresponding angles.

8 0

3 years ago

The price of a DVD is $19 . The price is 12% lower than last week. What was the price of the DVD last week? Round your answer to

nataly862011 [7]

Answer:

The original cost of the DVD was $21`.59

Step-by-step explanation:

In order to find this, you first must note that the new price is 88% of the older price. We get this since there was a subtraction of 12%.

Now knowing that, we can divide the new price by the percentage paid and it will give us the original price.

$19/88% = Original Cost

19/.88 = Original Cost

$21.59 = Original Cost

5 0

3 years ago

Can you please help me

andrezito [222]

Answer:

its kinda dificult to explain (easier to show) but ill do my best

Step-by-step explanation:

so for part a you wanna start from the bottom (min) and go acros to the line above 1 then go three lines up for cookies. you should be on 3, 1

for part b its c lin decorates 21 cookies in 7 min

7 0

3 years ago