f(x) = -x² - 8x - 16; Find ƒ(-3)

Answers

Answer 1
Answer:

f(-3) = -1

Step-by-step explanation:

We can find an unknown y-value by plugging an x-value into a given function.

Function Notation

Before we answer this question, we need to understand the notation of the equation. In function notation, the equation is given in terms of f(x).

"f(x)" represents the y-value of a function at the point "x".

For example, f(-3) represents the value of y when x = -3.

Finding f(3)

As stated above, to find f(-3) we need to plug -3 in for x. *Remember to use PEMDAS when solving.* This creates the new equation:

f(-3) = -(-3)² - 8(-3) - 16

Then, distribute the exponent.

f(-3) = -9 - 8(-3) - 16

Next, multiply.

f(-3) = -9 - (-24) - 16

Distribute the negative.

f(-3) = -9 + 24 - 16

Finally, add the remaining terms.

f(-3) = -1

This means that when x = -3, y or f(-3) = -1.


Related Questions

Suppose a survey of 979 business owners found that more than ought . which part of the survey represents the descriptive branch of statistics? make an inference based on the results of the survey.

Answers

Women make up 64% of the sample and are typically the household's main investment.

There is a correlation between American women and being the main provider in their home.

What is Descriptive Statistics?

Descriptive statistics, also known as brief informative coefficients, are used to summarize a specific data collection, which may be a sample of a population or a representation of the entire population. Descriptive statistics include measures of variability and central tendency (spread). Measures of central tendency include the mean, median, and mode, whereas measures of variability include the standard deviation, variance, minimum and maximum variables, kurtosis, and skewness.

For instance, the sum of the following data set is 20: (2, 3, 4, 5, 6). A 4 (20/5) is the mean. A data set's mode is the number that appears most frequently, while its median is the value that is in the middle of the range of values. It is the value that separates a data set's higher values from lower values. There are many less common ways to use descriptive statistics, but they are nevertheless essential.

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The correct question is - Suppose a survey of 580 women in the United States found that more than 64​% are the primary investor in their household. Which part of the survey represents the descriptive branch of​ statistics? Make an inference based on the results of the survey.

During its year ending june 31, 2021, giant purchased, $3,551,723 of inventory for sale in its stores. how much did giant recognize/record as cost of goods sold for the year ended june 31, 2021?

Answers

Cash paid to the suppliers is 35,56,530$

Given here, The Amount of raw material purchased by company is 35,71,723$.

Firstly, we calculate decrease in Accounts payable = 115492$ - 110685$

= 4807$.

Now, cash paid to the suppliers is calculated by,

Cash paid to the suppliers= Purchases of raw material + Decrease in Account payable.

= 35,71,723$ + 4807$

= 35,56,530$

Thus, the cash paid to the suppliers is 35,56,530$.

The amount of Accounts Payable on a company's balance sheet is significant. If AP rises over the previous period, it indicates that the business is using credit rather than cash to purchase more goods and services. A company's accounts payable (AP) will decline if it is paying its commitments from the prior period more quickly than it is acquiring new things on credit.

Management of accounts payable is essential for controlling a company's cash flow. The top component of the cash flow statement, the cash flow from operational activities, shows the net change in AP from the prior period when the indirect method is used to create the cash flow statement.

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latoya plots the integers -8, -5, and 2 on a number line. which of the following is the distance between one pair of integers that she plotted?

Answers

distance between one pair of integers that she plotted: 10 unit, 7 unit, 3 unit.

Number line :

the line is a horizontal line that has equally spread number increments. The numbers included on the line will determine how the number on the line can be answered. The question that goes with the number determines how it will be used, for example, in plotting a point.

The numbers on the left are smaller than the numbers on the right of the number line. A number line can also be used to carry out addition, subtraction, and multiplication. We always move right to add, move left to subtract, and skip count to multiply.

Distance formula :

D= right side integer of horizontal line  - left side integer of the horizontal line

Distance between the points -8 and 2

d = 2-(-8)

d=10 unit

Distance between the points -5 and 2

d= 2-(-5)

d=2+5

d=7 unit

Distance between the points -5 and -8

d= -5-(-8)

d=-5+8

d=3

distance between one pair of integers that she plotted: 10 unit, 7 unit, 3 unit.

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7-7+5x-5x+2+2x^2+2x
Combine like terms

Answers

Answer:

2x^2+2x+2

Step-by-step explanation:

7-7+5x-5x+2+2x^2+2x

ok first off i see 7-7, which is zero so we can leave that out

i also see 5x-5x which is also zero

now we have 2+2x^2+2x left, and to order it properly we put the number with the exponent and variable first, then the number with the variable, and then the number

so your final answer would be

2x^2+2x+2

i hope that helps! if you have any questions just ask!

A 'variable' is defined as when a characteristic of interest differs in kind or degree among various observations. True or false

Answers

True ,A 'variable' is defined as when a characteristic of interest differs in kind or degree among various observations.

How do nominal and ordinal differ?

Nominal: The information is only classifiable. Ordinal: The information is classifiable and rankable. Interval: The data can be equally spaced, categorized, and rated. Ratio: The data is evenly spaced, categorizable, rankable, and has a natural zero.

What in statistics is a ratio variable?

Multiplicity of ratio variables (statistics) a variable with interval characteristics as well as meaningful ratios between any two of its values, which makes multiplication and division operations comprehensible.

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How many significant digits are in the number 1.00460? select one: a. 6 b. 3 c. 5 d. 4

Answers

There are 6 significant digits in the number 1.00460.

What are digits?In mathematics, digits are the single symbols used to represent numbers. For example, in the number 89, the digits 8 and 9 are both two digits. As a result, numerals such as 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, and 0 are forms of digits that are used to represent a combination of numbers and perform arithmetic operations in our daily lives.We use ten digits to create all numerals. A numeral is a written number. These are the numbers 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9.

Therefore, there are 6 significant digits in the number 1.00460.

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How many posts does it take to support a straight fence 300 feet long if a post is placed every 25 feet?

Answers

12 posts are required to support a straight fence 300 feet long if a post is placed every 25 feet.

The given question can be solved using division. We are given that 25 feet is covered by 1 post. So, we will simply find the number of posts that will cover the 300 feet long fence. Now, calculating the number of posts as shown in steps below -

Number of post that covers 25 feet = 1

So,  300 feet will be covered by number of posts = (1÷25)×300

Performing multiplication and division to find the number of posts required to cover 300 feet long fence

Number of posts required to cover 300 feet long fence = 12 posts

Hence, 12 posts are required to cover 300 feet long fence.

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A bus covers a distance of 60 km in 1 hr, 56km in 2hr ,70km in 3hr, 50km in 4hr,65km in 5 hr, 60 km in 6 hr find the average speed of the bus and draw a graph for this.

Answers

A Average speed distance of 60 km in 1 hr, 56km in 2hr ,70km in 3hr, 50km in 4hr,65km in 5 hr, 60 km in 6 hr = 14.61 km/hr

Given:

Average speed=Total distance /Total time

60 km in 1 hr,

56km in 2hr ,

70km in 3hr,

50km in 4hr,

65km in 5 hr,

60 km in 6 hr

Average speed=207/21=14.61

The average speed of a body is the mean value of its speed across time. The formula for average speed is required since the speed of a moving body is not constant and fluctuates over time. Even with changing speed, the values of total time and total distance traversed may be employed, and we can get a single number to describe the complete motion using the average speed calculation.

A body's average speed is equal to the overall distance traveled divided by the entire time spent. The average speed formula is as follows:

Formula for Average Speed:

Average Speed = Total Distance Traveled / Time Spent

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A survey showed the 8 about of 20 home owners in a neighborhood had cable television . If there were 320 homeowners in the neighborhood, how many could be expected to have cable television

Answers

The number that could be expected to have cable television will be 138 people.

How to calculate the value?

From the information, survey showed the 8 about of 20 home owners in a neighborhood had cable television

Therefore, when there were 320 homeowners in the neighborhood, the number that could be expected to have cable television will be:

= 8/20 ×320

= 8 × 16

= 128

The number of people will be 128.

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After a 20% increase, the new price of a radio is $78. what was the original price?

Answers

Answer:

$65

Step-by-step explanation:

The original price was x.

x was increased by 20%, so the new price is

x + 20% of x = x + 0.2x = 1.2x

The new price is 1.2x

The new price is $78

1.2x = 78

x = 78/1.2

x = 65

Answer: $65

7. Charlotte needs to order thread to sew buttons onto marching band uniforms.
A 400-yard spool of thread is sold for $5.
• Each uniform needs 50 buttons.
There are 100 uniforms that need buttons.


• Each button requires of a yard of thread.
How much money should Charlotte ask for in the budget to spend on thread?

Answers

Using proportions, it is found that Charlotte should ask for $62.5 in the budget to spend on thread.

What is a proportion?

A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct(when both increase or both decrease) or inverse proportional(when one increases and the other decreases, or vice versa), can be built to find the desired measures in the problem, or equations to find these measures.

Each uniform needs 50 buttons, and there are 100 uniforms, hence the number of buttons needed is:

50 x 100 = 5000.

Each button requires of a yard of thread, hence the number of yards needed is:

5000 x 1 = 5000 yards.

A 400-yard spool of thread is sold for $5, hence the budget needed is:

(5000/400) x 5 = $62.5.

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A rectangle is 15 cm wide. Find the area and the perimeter of the rectangle if its width is 3/5 of its length

Answers

The area and perimeter of the rectangle are 80 cm and 375 cm² respectively.

How to find area and perimeter of a rectangle?

The rectangle is 15 cm wide.

The width is 3 / 5 of its length

Therefore, the area and the perimeter of the rectangle can be found as follows:

area of a rectangle = lw

where

l = lengthw = width

Therefore,

w = 15 cm

15 = 3 / 5 × l

cross multiply

75 = 3l

l  =75 / 3

l = 25 cm

Therefore,

area of the rectangle = 25 × 15 = 375 cm²

Perimeter of the rectangle = 2l + 2w

Perimeter of the rectangle = 2(l + w)

Perimeter of the rectangle = 2(25 + 15)

Perimeter of the rectangle = 2(40)

Perimeter of the rectangle = 80 cm

Therefore, the area and perimeter of the rectangle are 80 cm and 375 cm² respectively.

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lol i still dont get it i need a smartt brainlist help pleaseee

Answers

3v² + 4v + 5 should be the answer

greg can eat 1/8 of a hamburger in 1/12 of an hour how many hamburgers can greag eat in one hour

Answers

Answer: 1.5 Burgers an hour

1/8 x 12 = 1.5

Multiply 1/8 by 12 to get and hour because 12/12ths = 1 hour

2) How many distinguishable letter arrangements can be made from the letters in:
a) FLUKE?
b) PROPOSE?

Answers

Answer:

for "FLUKE" its 5! = 120

and "PROPOSE" its 7! /2!×2! = 1260

Step-by-step explanation:

"FLUKE" has no repeating letters.

"PROPOSE" has two repeating letters.

we divide by the repeating letters like I did on "PROPOSE" .

THANK YOU.

Find each product mentally using the Distributive Property. Show the steps that you used. For 6x13 in distributive property​

Answers

Using Distributive Property, the product of 6x13 is 78.

What is Distributive property?

The distributive property states that multiplying the sum of two or more addends by a number yields the same outcome as multiplying each addend separately by the number and combining the resulting products.

The steps of distributive property are -

                                                 6 × 13

                                              6 × (10 + 3)

                                          (6 × 10) + (6 × 3)

                                  ((3 + 3) × (5 +5)) + ((3 + 3) × 3)

                 (3 × 5 + 3 × 5 + 3 × 5 + 3 × 5 ) + ((3 × 3) + (3 × 3))

                                     (15 + 15 +15 + 15 ) + (9 + 9)

                                                  60 + 18

                                                    = 78

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please help,, will mark branliest if its right!!

Answers

Answer:

1. DNE

2. DNE

3. (-2, inf)

4. (-3,-2)

Step-by-step explanation:

the height of a frame is 2/3 times its width

Answers

The height of the frame is 1 m and the width is 1.5 meters.

The height and width are the two dimensions that are used to measure the perimeter of a rectangular frame.

The perimeter is defined as the sum of all sides of a polygon. For a rectangle it is equal to twice the sum of height and width.

Perimeter(p)=2×[height(h)+width(w)]

The given dimensions of the frame is that the height is [tex]\frac{2}{3}[/tex] the width.

Let us consider the width be x.

Hence height=[tex]\frac{2}{3} x[/tex]

Now perimeter =

[tex]2\times(x+\frac{2}{3}x) \\=\frac{10}{3} x[/tex]

But the given perimeter is 5 meter.

Therefore:

[tex]\frac{10}{3} x=5\\or,x=5\times 3\div 10\\or,x=1.5[/tex]

Therefore the width is 1.5 meters.

Height=[tex]\frac{2}{3} \times 1.5\\[/tex]=1 meter.

So we can conclude that the width is 1.5 meters and the height is 1 meter.

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What is the constant term in the following expression?
4x - 2y + 3

Answers

The constant term in the expression is 3.

The expression is 4x ₋ 2y ₊ 3.

Here in this equation we have variables and constants.

variables = x and y whose coefficients are 4 and ₋2 respectively.

A variable is anything whose value can change and is not fixed. Typically, the letters x, y, z, etc. are used to indicate variables.

The above equation is in the form ax ₊ by ₊ c

An object with a fixed value in a circumstance is said to be a constant. We are aware that the constant is fixed, even though we do not know its exact value. In general, constants are represented by the letters a, b, c, p, q, etc. if their values are unknown or not given, and by particular numerical values) if their values are known.

Hence we get the constant term as 3.

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Write an equation and solve.
For a ride on a rental scooter, Justin paid a $2 fee to start the scooter plus 12 cents per
minute of the ride. The total bill for Justin's ride was $20.84. For how many minutes did
Justin ride the scooter?

Answers

Answer:

2+0.12x=time on scooter bill

x is minutes and x is 157 minutes on the scooter

Step-by-step explanation:

Equivalent expression
4 x 6 x 7

Answers

Answer:

168

Step-by-step explanation:

4x6=24

24x7=168

Assume $x is deposited into a savings account. Blank Bank offers an annual rate of r% for y years. Thank Bank offers a rate of ry% for 1 year. Which earns more interest?

Answers

Blank bank as well as Thank bank earn equal interest.

In this question, Blank Bank offers an annual rate of r% for y years.

and Thank Bank offers a rate of ry% for 1 year.

Assuming $x is deposited into a savings account, we need to determine which bank earn more interest.

We know that, Interest = principal × rate × time

Now we convert the rates to decimals and to do that we divide by 100.

So, the annual rate of the Blank bank = 0.0r

And the annual rate of the Thank Bank = 0.0ry

Using above formula of interest,

For Blank bank, the interest would be,

I_B = x × 0.0r × y

I_B = xy(0.0r)

I_B = 0.0rxy                         ....................(1)

here, we find the interest for 'y' years

And for the Thank Bank, the interest would be,

I_T = x × 0.0ry × 1

I_T = I_B = 0.0rxy              ....................(2)

From (1) and (2),

I_B = I_T

Both the banks earn equal interest.

Therefore, Blank bank as well as Thank bank earn equal interest.

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Volume of Spheres find the volume

Answers

Step-by-step explanation:

Oke so basically we can calculate volume like this

1st: v=

[tex] \frac{4}{3} \times \pi \times r {3}^{?} [/tex]

Which equals:

[tex] \frac{4}{3} \times 3 \times {3}^{3} and \: it \: equals > 108 {\pi}^{3} [/tex]

Can anyone help? (question in image)

Answers

The expression is simplified to n = 3/ 25

What are algebraic expressions?

Algebraic expressions are expressions made up of arithmetic operations such as addition, subtraction, multiplication, division, etc.

They also consist of variables, terms, factors, constants and coefficients.

Given the expression;

[tex]5( n- \frac{1}{10} ) = \frac{1}{2}[/tex]

expand the bracket

[tex]5 ( \frac{10n - 1}{10} ) = \frac{1}{10}[/tex]

[tex]\frac{50n - 5}{10} = \frac{1}{10}[/tex]

cross multiply

10( 50n - 5) = 10

expand the bracket

500n - 50 = 10

collect like terms

500n = 60

Make 'n' the subject

n = 60/ 500

n = 6/ 50

n = 3/ 25

Thus, the expression is simplified to n = 3/ 25

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Which graph is the result of reflecting f(x) = (8)* across the y-axis and then across the x-axis?
--8-7-6-5-4-3
8
7-
6-

th
7
8
co t
7
6
10
5
4-
3
NW
2-
4-
1₁
2

Answers

Which graph results when f(x) = (8)* is first reflected across the y-axis and then across the x-axis?

Option 1 for Question 1

Option 1 for Question 2

Option 3 for Question 3

Option 1 for Question 4

Option 1 to Question 5

1) We subtract from any sequence to find the common difference d. For instance, =(-4) - (-15) = -4+15 = 11. Hence, choice 1. The answer for the sequence is (11).

2) In case a sequence is

The sequence's eighth term, then, will be = 25-24 = 1. Therefore, choice 1 is right.

Question #3: Any arithmetic series has the following explicit rule

As a result, choice three is right.

4. Reggie started off with 195 cards, and each week, 16 more cards are added.

In light of this query

There are 16 common differences in the sequence.

The order is going to be

the amount of cards will be after the 12th week.

Therefore, choice 1 is right.

5th query: If the sequence is

Then

and

The usual difference is 7-3 = 4.

Therefore

Choice 1. is the right response.

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How many zeroes are in the product of 40 × 10 7 ?

Answers

Answer:

Either, it's 2,800 and that would be 2 zeroes or it is 400,000,000 and that would be 8 zeroes

Step-by-step explanation:

40 x 10 x 7 = 2,800

40 x 10^6 = 400,000,000

Total 8 zeroes are in the product of 40 × 10⁷.

Let's step-by-step dissect the calculation and the total amount of zeros.

We are given the phrase  40 × 10⁷, where 10⁷ is defined as 10 multiplied by 7.

Step 1: Calculate 10⁷

10^7 means 10 raised to the power of 7, which is equal to 10,000,000 (10 million). This is because 10⁷ = 10 × 10 × 10 × 10 × 10 × 10 × 10 = 10,000,000.

Step 2: Calculate the product 40 × 10⁷

Now, we multiply 40 by 10,000,000:

40 × 10,000,000 = 400,000,000

The product 400,000,000 has a total of 9 digits.

Instead of just looking at the overall number of digits, we are more concerned with the amount of zeros in the product.

Counting the zeros:

In the number 400,000,000, there are 8 zeros. These zeros come from the seven factors of 10 in the product 10⁷.

So, the product of 40 × 10⁷ has 8 zeros.

In conclusion, the result of 40 times 10 raised to the power of 7 is 400,000,000, which has eight zeros. This is so because every factor of 10 adds a zero to the final total.

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Choose the angle name JWT

Answers

The angle with the name JWT is option (b)

How to determine the angle with the name JWT?

The name of the angle is given as

JWT

The above means that

Two lines JW and WT intersects at point W

The point of intersection of these lines is the name of the angle

From the list of given option, we have option (b) that has the above property

Hence, the angle with the name JWT is option (b)

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|x+4|<9
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-
-

Answers

The answer is 203 because you multiple it

An airplane leaves Los Angeles and travels 5 hours to New York City. The return trip travels along the same route and takes 6 hours and 15 minutes because the plane travels 99 mph slower due to a headwind. Find the distance the plane flies between the two cities.

Answers

The distance the plane flies between the two cities is 2,475 miles.

Given that, an aeroplane leaves Los Angeles and travels 5 hours to New York City. The return trip travels along the same route and takes 6 hours and 15 minutes because the plane travels 99 mph slower due to a headwind.

We need to find the distance the plane flies between the two cities.

How to find the distance with speed and time?

To get the distance, multiply the speed by time. You may see these equations simplified as s=d/t, where s is speed, d is distance, and t is time.

Let the speed of an aeroplane while travelling from Los Angeles to New York City be x.

Then the speed of an aeroplane during the return trip will be x-99.

Now, Distance=Speed × Time

So, x × 5 = (x-99) × 6 1/4

⇒5x=25/4 (x-99)

⇒20x=25x-2475

⇒5x=2475

⇒x=495

The speed of an aeroplane is 495 mph.

Now, the distance = 5x =5 × 495

=2,475 miles

Therefore, the distance the plane flies between the two cities is 2,475 miles.

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Answer: plane

Step-by-step explanation:

plane fliying in the sky it go fl y

how do you calculate these numbers from least to greatest −2.0, 0.25, −1.02, 1.98.?

Answers

Answer: -2.0, -1.02, 0.25, 1.98

Step-by-step explanation:

Remember that negative numbers always go last. The bigger the negative number is, the smaller its quantity is. So -2.0 is less than -1.02. Then we have the positive numbers: 0.25, and 1.98. 0.25 is less than 1.98 because 1.98 has a whole number and 0.25 doesn't have a whole. Hope this helps :)

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