1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
kotykmax [81]
3 years ago
14

g and Consider the following. f(x) = 4x2 + 5x − 18 (a) Find the instantaneous rate of change of the function at the value x = −4

. f '(−4) = (b) Find the slope of the tangent at the value x = −4.
Mathematics
1 answer:
Oduvanchick [21]3 years ago
5 0

Answer:

a) \frac{dy}{dx} = -27, b) m = -27

Step-by-step explanation:

a) The instantaneous rate of change is:

\frac{dy}{dx} = 8\cdot x + 5

\frac{dy}{dx} = 8\cdot (-4)+5

\frac{dy}{dx} = -27

b) The slope of the tangent line is equal to the instantaneous rate of change found previously.

m = -27

You might be interested in
How do you say 309099990 in word form
babunello [35]
<span>First of all, we need to put commas in the number so it would look less confusing 309 , 099 , 990 Hundred million hundred of thousnd Hundred So the correct way to say it would be : three hundred nine million ninety nine thousand nine hundred and ninetyHope this helps. Let me know if you need additional help!</span>
6 0
3 years ago
G(x)=9x-11 find g(8)
sineoko [7]

Answer:

Step-by-step explanation:

8(9x-11)

72x-88

6 0
3 years ago
Jesse wants to save the same amount of money each week for a trip. he needs $3,060. if the trip 36 weeks away how much money sho
Paladinen [302]
$85 weekly if you divide 3060 by 36
8 0
3 years ago
Read 2 more answers
I really need help with this please help best aswer gets brainliest
svet-max [94.6K]

Answer:

Relative frequency is 7.41% or 0.0741

Step-by-step explanation:

Given

The Attached Table

Required

Calculate the relative frequency of the class with lower limit 27

Relative Frequency is calculated by dividing individual frequency by the total frequency

Mathematically,

Relative\ Frequency = \frac{Individual\ Frequency}{Total\ Frequency}

The total frequency of the given data is 6+8+4+2+5+2

Total\ Frequency = 27

The class with lower limit 27 has a frequency of 2;

Hence;

Relative\ Frequency = \frac{Individual\ Frequency}{Total\ Frequency} becomes

Relative\ Frequency = \frac{2}{27}

Relative\ Frequency = 0.07407407407

Relative\ Frequency = 0.0741 (Approximated)

You may also leave your answer in percentage form

Relative\ Frequency = 0.0741 * 100\%

Relative\ Frequency = 7.41 \%

Hence, the relative frequency is 7.41% or 0.0741

7 0
3 years ago
Read 2 more answers
Complete the following statements.
stiv31 [10]

Answer:

A soda bottle contains 2 liters of liquid. Therefore:

The soda bottle contains  67.62 fluid ounces of liquid.

The soda bottle contains 0.525  gallons of liquid.

2) A milk jug contains 2 gallons of milk. Therefore:

The milk jug contains 8  quarts of milk.

The milk jug contains 7.6 liters of milk.

Step-by-step explanation:

We need to complete the statements.

1)

A soda bottle contains 2 liters of liquid. Therefore:

The soda bottle contains -------  fluid ounces of liquid.

  • Converting Liters to fluid ounces

We know that 1 liter = 33.81 fluid ounces

So,  2 liter = 2 x 33.81 = 67.62 fluid ounces

The soda bottle contains 67.62  fluid ounces of liquid.

The soda bottle contains  gallons of liquid.

  • Converting liters to gallons

As, we are not given direct conversion from liters to gallons, first we convert liter to quarts and then convert quarts to gallons

We know that

1 liter = 1.05 quarts

2 liters = 2 x 1.05 = 2.1 quarts

4 quarts = 1 gallon

1 quarts = 1/4 gallon

2.1 quarts = 1/4 * 2.1 = 0.525 gallon

The soda bottle contains 0.525  gallons of liquid.

2)

A milk jug contains 2 gallons of milk. Therefore:

The milk jug contains -------- quarts of milk.

  • Converting gallons to quarts

We know:

1 gallon = 4 quarts

2 gallons = 2 x 4 = 8 quarts

The milk jug contains 8 quarts of milk.

The milk jug contains ------  liters of milk.

  • Converting gallons to liters

We know:

1 gallon = 4 quarts

2 gallon = 8 quarts

1.05 quarts = 1 liter

1 quarts = 1/1.05 liter

8 quarts = 1/1.05 * 8 = 7.6 liter

The milk jug contains 7.6 liters of milk.

6 0
2 years ago
Other questions:
  • Determine the measure of the interior angle at vertex F
    11·1 answer
  • Joseph buys a bag of 60 pieces of taffy. In the bag, there are 6 cinnamon pieces, 18 raspberry pieces, 18 key lime pieces, and t
    8·1 answer
  • Ryan invests a sum of money in a savings account with a fixed annual interest rate of 4.31% compounded 12 times per year. After
    11·1 answer
  • X/6 - 7 = -4 what the answer
    11·2 answers
  • 5) h(x) = 2x + 4; Find h(-3)
    7·1 answer
  • Which expression is equivalent to (84+16)
    11·2 answers
  • DON'T IGNORE
    5·1 answer
  • If Mars has a diameter of approximately 4200 miles, what is the volume of Mars.
    5·2 answers
  • 5.1 Percentage changes
    13·1 answer
  • Triangle EFG is dilated by a scale factor of \frac{2}{3}
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!