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AlexFokin [52]
3 years ago
5

Let ​ f(x)=x2−3x−4​ .

Mathematics
2 answers:
chubhunter [2.5K]3 years ago
8 0
To find rate of change, you find the change in the output values compared to the change in the input values and write it as a fraction

\frac{change \: in \: y}{change \: in \: x}

f(7) is
{7}^{2} - 3(7) - 4
49 - 21 - 4
when x is 7, y=24

f(10) is
{10}^{2} - 3(10) - 4
100 - 30 - 4
when x is 10, y=66

the difference in the y values is 42 when the x values change by 3

\frac{66 - 24}{10 - 7} = \frac{42}{3} = 14
the average rate of change is 14
Anit [1.1K]3 years ago
8 0

Answer:

14

Step-by-step explanation:

Confirmed correct with a K12 test.

You might be interested in
Select all the statistical questions
mojhsa [17]

Answer:

B and C

Step-by-step explanation:

A general way to know this is, if the answer can be given as a rate, percentage, or probability, then this is a statistical question

If the answer is yes, no, true, false, or something exact, then the question is not statistical.

Let's analyze the given questions:

a) "How many cups are in a gallon?"

There is an exact number of cups in a gallon (16) so this is not an staistical question.

b) "Which measure spoon do home backers use most frequently?"

While here the answer may be something like "teaspoon", the root of the answer is a percentage, here we actually would see the percent of home backers (so we need to find a sample, study that sample, etc) that use each spoon, and based on that, we could conclude what is the correct answer, then this is a statistical question.

c) "On average, how much salt do professional pastry chefs use in pie crust?"

Here we need to find a mean value, so we would need to do a survey and etc, then this is a statistical question.

d) "Which is larger, 17 ounces or 2 cups?"

Here we have an exact solution, so this is not a statistical question.

e) "Did a specific store sell more measuring cups or measuring spoons on a given day?"

Here we just need to compare the two numbers:

number of measuring cups sold = k

number of measuring spoons sold = m

And we need to see which one is larger, so the answer is exact, thus, this is not a statistical question.

This may be similar to option B, the difference is that in option B we are talking about all home backers, so we need to find a sample and do statistics, while in this case, we are talking about a specific store.

Then the correct options are: B and C

3 0
3 years ago
Help Help! Now help! ASAP!I’ll make you brainly now please
hammer [34]

Answer:

re08uwahrewrai098nyryvrhheuaviufvsdsavad <<< Don't do this please

42.3 meters

3 0
3 years ago
Which statement best describes how to determine whether f(x) = x2 – x + 8 is an even function? Determine whether –x2 – (–x) + 8
DiKsa [7]

Answer:

B.

Step-by-step explanation:

Just took it. Edg 2020. Hope this helps :)

9 0
3 years ago
Read 2 more answers
box with a square base and open top must have a volume of 4,000 cm3. Find the dimensions of the box (in cm) that minimize the am
Naya [18.7K]

Answer:

Hence the width, length is 20 cm and height is 10 cm

Step-by-step explanation:

Since the box has a square base, let length = width = x. Also, let the height = y, therefore:

The volume of box = width * length * height

4000 = x * x * y

4000 = x²y

y=4000/x²

The surface area (SA) = area of the base + sum of the area of each side

SA = x² + xy + xy + xy + xy

SA = x² + 4xy

substitute y = 4000/x²

SA = x² + 4x(4000/x²)

SA = x² + 16000/x

Taking the derivative:

SA' = 2x - 16000/x²

making SA' = 0:

0 = 2x - 16000/x²

2x = 16000/x²

2x³ = 16000

x³ = 8000

x = 20 cm

y = 4000 / x² = 4000 / 20² = 10 cm

Hence the width, length is 20 cm and height is 10 cm

6 0
3 years ago
PLEASE HELP!!!<br> Solve for X...<br> Cos30=x/8<br> Answer MUST be in radical form. NO DECIMALS.
Ivenika [448]

cos(30)=x/8

Rewrite the equation as

x/8=cos(30)

Multiply both sides of the equation by

8

.

8

⋅

x/8=8⋅cos(30)

Simplify both sides of the equation.

Tap for more steps...

x=4√3

The result can be shown in multiple forms.

Exact Form:

x=4√3

Decimal Form:

x=6.9282032

8 0
3 years ago
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