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

Saeed plans to run 10 km. On the first day, he runs 2 km. What percent of the total distance does he run the first day?

Answers

Answer:

He runs 20% or 1/5 of the total distance the first day

Step-by-step explanation:

We know this due to the fact that 2km / 10km is equal to 1/5 and we then know that 1/5 equates to the percentage equivalence value of 20%


In the trapezoid below, EF is parallel to BC. If ED = 35, BC = 63, DC = 28,
and EF = 45, find the length of BD. Figures are not necessarily drawn to scale.

Answers

EF and BC in the trapezoid below are parallel. if ED=35, BC=63, and DC=28

Find the length of BD if EF = 45. Not all figures are rendered to scale.

A trapezoid is a quadrilateral with one pair of opposite sides parallel. It can have right angles (a right trapezoid), and it can have congruent sides (isosceles), but those are not required.

The base angles and the diagonals of an isosceles trapezoid are equal. The intersection point of the diagonals is collinear to the midpoints of the two opposite sides. Opposite sides of an isosceles trapezoid are of the same length or congruent to each other.

To learn more about trapezoid Visit : https://brainly.com/question/27345645

#SPJ9

8w-6(w-4)=2(w+9)
please help asap

Answers

Answer:

w = -7.04 and 1.705

Step-by-step explanation:

First lets distribute.

We have 8w-6w(w-4), so let's distribute the -6w to w and -4

8w-6w^2+24w = 2(w+9)

Now for the other side we distribute 2 to w and 9

8w-6w^2+24w = 2w +18

Now we combine like terms

6w^2+32w = 2w +18

Carry both 2w and 18 to the other side

6w^2 +30w -18 = 0

Now we can factor the equation, i used the quadratic method which is x= -b+- the square root of b^2-4ac /2a (in this case x would be w)

Plugging that in:

x= -32 +- square root of 32^2 -4(6 * -18) / 2(6)

-32 +- square root of 1024 +1728 / 12

-32 +- square root of 2752 /12

-32 +- 52.46 /12

x = -32 - 52.46/12   and  -32 + 52.46/12

x=  -84.46/12      and      20.46/12

x= -7.04  and  1.705

so w = -7.04 and 1.705

Sorry this was so complicated, but I hope this helps

Find the value of x please.

Answers

Answer: To find the value of x, bring the variable to the left side and bring all the remaining values to the right side. Simplify the values to find the result.

Answer:

85 degrees

Step-by-step explanation:

a line equals 180 degrees.

so 180-140= 40 degrees one of the missing angles in the triangle.

180 degrees is the full amount of degrees the angles of a triangle can equal.

So we have to add up the angles we know...

55+40=95 degrees

and subtract them from 180...

180-95=85 degrees

x=85

A member of the junior varsity swim team will be elected as President. Each member is equally likely to be elected. The probability that a sophomore is elected is $3/2$ times the probability that a freshman is elected. Everyone on the junior varsity swim team is either a freshman or sophomore. What fraction of the swim team are sophomores?

Answers

Using the probability concept, it is found that 60% of the swim team are sophomores.

What is a probability?

A probability is given by the number of desired outcomes divided by the number of total outcomes.

The sum of the probabilities of all outcomes of an event is of 1, hence:

P(freshman) + P(sophomore) = 1.

The probability that a sophomore is elected is $3/2$ times the probability that a freshman is elected, hence:

x + 3/2x = 1.

5/2x = 1

5x = 2

x = 0.4.

Thus:

40% of the swim team is composed by freshman.60% of the swim team is composed by sophomores.

More can be learned about probabilities at https://brainly.com/question/14398287

#SPJ1

there are twenty four hours in a day. jack worked for two-fourths of the day. how much time will jack spend working?

Answers

Answer: 12 hours

Step-by-step explanation: divided 24 by 4, which equals to 6, if Jack worked 2/4 of the day, he would have worked half the day, which is 12 hours.

A cell phone provider charges a monthly fee of $20 dollars and also charges customers $0.05 per text message. The function C (t) = 0.05t+ 20 represents the cost C, per month based on t text messages in a month.
Which best describes the domain of the function?
- All real numbers
-All real numbers that are multiples of 0.05.
-all whole numbers
-all whole numbers from 0 to 20

Answers

The best description of the domain of the function is (c) all whole numbers

How to determine which best describes the domain of the function?

The function is given as

C(t) = 0.05t + 20

The input variable of the above function is t

t represents the number of text messages

The number of text messages cannot be negative

Hence, the best description of the domain of the function is (c) all whole numbers

Read more about domain at:

https://brainly.com/question/2264373

#SPJ1

44.00 divided by 2.20
Showed with work PLSS HELP ME !!!!

Answers

Answer:

20

Step-by-step explanation:

[tex]\begin{matrix}\:\:\:\:\:\:\:\:\emptyspace2\emptyspace0\:\:\:\:\:\:\:\:\:\:\:\:\\ 22\overline{|\smallspace440}\:\:\:\:\:\:\:\:\:\:\:\:\\ \:\:\:\:\:\:\underline{\emptyspace4\emptyspace4}\:\:\:\:\:\:\:\:\:\:\:\:\:\:\\ \:\:\:\:\:\:\:\:\emptyspace0\emptyspace0\:\:\:\:\:\:\:\:\:\:\:\:\\ \:\:\:\:\:\:\:\:\:\:\underline{\emptyspace0}\:\:\:\:\:\:\:\:\:\:\:\:\\ \:\:\:\:\:\:\:\:\:\:\emptyspace0\:\:\:\:\:\:\:\:\:\:\:\:\end{matrix}[/tex]

The answer would be 20

What is the product of (−3)(18) • (−5)?

Answers

Answer:

The product of (-3)(18) * (-5) is 270.

Step-by-step explanation:

(-3)(18) * (-5)

Multiply -3 and 18.

(-54) * (-5)
Multiply -54 and -5. When multiplying 2 negative numbers, the result will become positive.

270.

Answer:

270

Step-by-step explanation:

BODMAS

Brackets, Order, Division, Multiplication, Addition, Subtraction.

(-3)(18) is basically (-3) • (18)

No more expressions within brackets so we go by order from left to right of the equation.

(-3) • (18) = (-54)

(-54) • (-5) = 270

Hope this helps! ^^

PLS ILL GIVE U A LOT OF POINTS

Answers

Step-by-step explanation:

(3.5q³k^4)³                    (2q²k³)²

(42.875 q^9 k^12)      (4 q^4 k^6)

171.5 q^13 k^18

The answer is C.

List from least to the greatest: 7/4, 1.5, √2, √4 – 0.1

Answers

Answer: 0.1, 1.5, 7/4, 2, 4

Step-by-step explanation:

simplify. -2(7-n) +4

Answers

it would be = 2n-10

(i have to have 20 characters so imma write random letters. suzuiaiaiqnwnwiiss)

Answer:

-2(7+2n) +4 = 5

step by step explantation:

-2(7-n) +4

-2×7 =-14

-2x-n = 2n

14+2n = 4

2n = 14 - 4

2n/ 2= 10/2

n= 5

You are planning a vacation and have found a great rate on a hotel. The hotel is $99 per night, plus tax and a
resort fee. The expression 99(1.05)+ 25 represents the total cost of the hotel for nights. What is the tax
rate and the resort fee? Explain how you know

Answers

Answer:

  resort fee is 25

tax rate is 1.05

Step-by-step explanation:

Current trends in math instruction are likely to lead to graduates who are able to?

Answers

Current trends in math instruction are likely to lead to graduates who are able to "find precise answers quickly by consulting texts and tables."

What is math instruction?

A analysis of studies on mathematics instruction encompassing students with educational disabilities discovered a variety of behavioral, cognitive, & metacognitive approaches that have been shown to improve both mathematical computation & mathematical solving problems in students with LD.

Some key features regarding the math instruction are-

The majority of metacognitive instruction has indeed been combined with really explicit instructional strategies in which students are taught and then given ample practice opportunities.Metacognitive strategy training research has revealed the effectiveness of these training across a wide range of tasks and training types. Recent research on explicit solving problems, including the growth to higher-level math including algebra, and research on affectively oriented self-instruction, has piqued the interest of many.

Some points regarding the importance of the math instruction are-

encourage students to learn the math facts, concepts, computational skills, as well as strategies needed to solve a variety of problemspromote the creation of efficient and adaptable problem-solving approaches; and instill adaptive arithmetical behaviors and beliefs in students.

To know more about the computational skills, here

https://brainly.com/question/28032366

#SPJ4

21x21 I need real help with this.Really struggling ;)

Answers

Answer: Human calculator says 21 x 21 = 441!

Good Luck!

4. Jennifer spent $153.36 at the mall. Sally spent $85.20.
How many
times greater is the amount that Jennifer spent than the amount that
Sally spent?

Answers

1.8 times greater. This calls for division, simply dividing Jennifers total by Sallys total. Keep this in mind next time, & good luck.

Suppose a vector y is orthogonal to vectors u and v. show that y is orthogonal to the vector u v.

Answers

Using Dot product

Two vectors x and y are said to be orthogonal if their dot product is zero

⇒ x.y = 0

This is because orthogonal vectors are make an angle of 90° with each other and therefore θ becomes 90°

Dot product is given by :

x.y = x*y*cosθ = xycos90°

∵cos90° is zero , x.y=0 for orthogonal vectors.

Let u,v,y be vectors in R

y is orthogonal to u and v

⇒ y.u = 0   and  y.v=0

Now, we have to prove that y is orthogonal to (u+v)

The dot product of these vectors is given by:

y.(u+v) = y.u + y.v  (Dot product is distributive) = 0 + 0 = 0

∵The dot product is zero , vector y and (u+v) are orthogonal

(To know more about Dot Product : https://brainly.in/question/53076397)

A cubical die is 3 m long. Find its volume. How much space does it occupy?

Answers

Answer:

27 m³

Step-by-step explanation:

Formula we use,

→ V = a³

Let's solve the problem,

→ V = a³

→ V = 3³

→ [ V = 27 m³ ]

Hence, it occupies 27 m³.

-1/2 is equivalent to 1/2

Answers

Answer: No

Step-by-step explanation:

No because its off by 1 point, -1/2, 0, 1/2

The workers at Antonio's pizza shop can make 18 pizzas for every hour. They have already made 40 pizzas. Write a function rule that can be used to determine the number of pizzas at Antonio's pizza shop f(p) at p hours.​

Answers

Answer:

f(p) = 18p + 40

Step-by-step explanation:

Since they can make 18 pizzas per hour, number of pizzas made in p hours = 18p

They already have 40 pizzas

So  total number of pizzas at any time p is f(p) = 18p + 40

Use the distributive property to write an equivalent expression.
4(w-2x+4)

Answers

I think the answer is 4w - 8x + 16.

Approximately how much fencing is needed to enclose a circular pond with a diameter of 12. 5 feet?.

Answers

Approximately 39.26 feet is needed to enclose a circular pond with a diameter of 12. 5 feet.

What is the circumference of a circle?The circumference (from Latin circumference, meaning "carrying around") is the perimeter of a circle or ellipse in geometry. That is, the circumference would be the circle's arc length if it were finally opened and straightened out to a line segment. In general, the perimeter is the length of the curve around any closed figure. The circumference can also refer to the circle itself, i.e. the locus corresponding to a disk's edge. A sphere's circumference is the circumference, or length, of any of its great circles.

To fin the circumference:

Formula: C = 2πrRadius = Diameter/2 = 12.5/2 = 6.25

So,

C = 2πr= 2 · π · 6.25≈ 39.26991

Therefore, approximately 39.26 feet is needed to enclose a circular pond with a diameter of 12. 5 feet.

Know more about the circumference of a circle here:

https://brainly.com/question/20489969

#SPJ4

What is a situation that can be represented as 4(-2)?

Thanks.

Answers

It would be -8. Because when you multiply 4 by -2 you get -8 eight.

Determine whether or not the function is one-to-one, and if it is, determine its inverse function

Answers

Determine the conditions for when a function has an inverse. Use the horizontal line test to recognize when a function is one-to-one. Find the inverse of a given function.

What is a horizontal line test?

It is simple to establish whether the inverse of a function is also a function using the horizontal line test.

Because it fails the vertical line test, a function's inverse might not actually be a function.

Graph of the line

f\left( x \right) = - x + 2

f(x)=−x+2.

To know more about Horizontal line test, visit:

https://brainly.com/question/28208081

#SPJ4

2. The dimensions of a desk are 36in long and 24in wide. What is the aspect ratio of the desk?

Answers

The aspect ratio of the desk is 3:2

How to calculate the aspect ratio ?

Aspect ratio can be described as the ration of the width to the height of an object

The desk is 36 inches long

The width is 24 inches

The aspect ratio can be calculated as follows

= 36/24

= 6/4

= 3/2

Hence the aspect ratio is 3:2

Read more on aspect ratio here

https://brainly.com/question/17101115?referrer=searchResults

#SPJ1

The Drama Club sold 900 tickets to the school play. They charged $5.50 for students and $8.00 for non-students.

If they took in $5700, how many non-student tickets were sold?

Answers

Answer:

300 non student tickets were sold

Step-by-step explanation:

Let's solve the equation step by step,

In order to solve for how many non student tickets were sold, let's make an equation

5.50x + 8.00y = 5700 --------(equation 1)

x + y = 900 ---------------(equation 2)

Let's solve for x and y

5.5x+8y=5700;x+y=900

Rewrite equations:

x+y=900;5.5x+8y=5700

Step: Solve x+y=900 for x:

x+y=900

x+y+−y=900+−y(Add -y to both sides)

x=−y+900

Step: Substitute−y+900forxin5.5x+8y=5700:

5.5x+8y=5700

5.5(−y+900)+8y=5700

2.5y+4950=5700(Simplify both sides of the equation)

2.5y+4950+−4950=5700+−4950(Add -4950 to both sides)

2.5y=750

2.5y/2.5 = 750/2.5

(Divide both sides by 2.5)

y=300

Step: Substitute300foryinx=−y+900:

x=−y+900

x=−300+900

x=600(Simplify both sides of the equation)

Since y = 300 then 300 non student tickets were sold

Linda built a games board in industrial arts class. The top was a rectangle of 60cm by 48cm. What was the largest size of identical felt squares she could use to cover the top exactly?

Answers

The largest size of identical felt squares that can be used to cover the top of rectangle is 5 squares of side 24cm.

The rectangle is a 2-dimensional figure with length and breadth which may or may not be same. A square is also a 2-dimensional figure with equal length of its sides.

When the dimensions of rectangle are given, it's are is given as the product of the sides of the rectangle which is given as:

Area of rectangle = Length × Breadth = 60 × 48 = 2880 cm square

The length of the square that entirely covers up the top side i.e., rectangular top can be determined by hit and trial mechanism starting from the lowest whole number in order to determine the length of largest squares of equal dimensions. Then comparing the area of the rectangular top and product of number of squares needed and area of each square, we can find the largest size of the square.

Area of square = length × length = l²

Since, Area of rectangular top = No. of squares × Area of 1 square

Therefore, 2880 = N (l²)

Putting N =1, 2, 3, 4, 5 and so on, we find that when N = 5, the value of square root of l is a perfect whole number.

Hence, 2880 = 5 × (l²)

l = √576 = 24

Thus, 5 squares of side 24cm will be used to cover the rectangular top entirely.

Learn more about Whole number at:

brainly.com/question/13242016

#SPJ1

Write a multiplication sentence to match the number of groups.skip count to find the totals 3twos

Answers

Answer:

i have 3 and i do 3 times more.

Step-by-step explanation:

how can you Introduce and Represent a ratio

Answers

A ratio can be introduced as an ordered pair of numbers, and it can be represented as x:y.

What is a ratio?

A ratio can be introduced or described as an ordered pair of numbers.

For example, given two numbers x and y, where y is not equal to 0, the ratio can be represented as follows:

x:y

For example, let x represent the number of plates and equal to 2, and y represents the number of spoons and equal to 5, we will have the ratio as follows:

2:5

The ratio 2:5 implies that for every 2 plated there are 5 spoons.

Learn more about ratios here: https://brainly.com/question/13419413.

#SPJ1

there are 24 baseball teams in a league. each team plays two matches against each of the other teams, work out the total number of matches played

Answers

Answer:

I need this question too... HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP

The total number of matches played is 552

How to determine the total number of matches played?

The given parameters are

Teams = 24

Matches against each other = 2

So, the total number of matches played is

Total = Teams * (Teams - 1)

This gives

Total = 24 * (24 - 1)

Evaluate

Total = 552

Hence, the total number of matches played is 552

Read more about combination at:

https://brainly.com/question/11732255

#SPJ1

Other Questions
Exercise 1 Underline the adjective clause, and circle the noun or pronoun it modifies.The telegraph, which was the forerunner of the telephone, transmits signals over a wire. It is up to the individuals being negatively affected by the social determinants of health to change the barriers and policies. True or false?. The pancreas releases _________ to buffer the ph of the stomach juices. a strong base to counter the strong acid pepsin nahco3 hcl atpase activating protein On june 1, pizza company paid $100 for advertisements to be run on june 1. pizza company's entry to record this payment will include a $100 ______. Why do you think some Europeans went to the extra effort oftraveling over land to trade with the Safavids? Which action would the nurse perform during a fire? one, some, or all responses may be correct. What is the solution (x,y) to the system of equations above? The annual inventory cost C for a manufacturer is given below, where Q is the order size when the inventory is replenished. Find the change in annual cost when Q is increased from 340 to 341, and compare this with the instantaneous rate of change when Q = 340. (Round your answer to two decimal places. 11 = 5+ySolve for Y Exercise 1 Circle the number in front of each complex sentence.Douglass continued to fight for reform until his death in 1895, when he collapsed following a woman suffrage meeting. What is p2 + 13 if p = 4? 29 17 3 21 How many screws secured the side panels Comparing vendor invoices to inventory prices, obtaining lower of cost or market data and recalculating deprecation schedules relate to the ______ assertion. A client who was previously taking paroxetine is being switched to phenelzine due to a lack of response. the nurse would expect that the phenelzine will be started at which time? Researchers in life-span development have a special concern with studies that focus on the relation of ______ to some other variable. How do delivery companies track packages? group of answer choices a. they use code-scanning technology. b. they use gps. c. they use robotic arms to load packages.d. they use a learning management system. The pie chart represents the proportions of how Henry spent the 720 he took on holiday.What fraction of his money did he spend on drink?Give your answer in its simplest form. Exercise 1 Underline the adjective clause, and circle the noun or pronoun it modifies. The suburb that we live in is undergoing many changes. In the country beta it takes two hours of labor to produce a unit of tea and four hours of labor to produce a unit of bread. In the country zeta it takes three hours of labor to produce a unit of tea and nine hours of labor to produce a unit of bread. Which of the following is true? a. country zeta has an absolute advantage in producing both tea and bread. b. country zeta has an absolute advantage and a comparative advantage in producing tea. c. country beta has an absolute advantage and a comparative advantage in producing tea. d. country beta has the lower opportunity cost in producing bread and therefore a comparative advantage in producing bread. e. country beta, with trade, will export both tea and bread to country zeta. The assigns punishments to companies whose employees are involved in forms of workplace deviance. True or false?.