Given f(x) = x2 − 4x + 5, find . . . .
a. f(2) b. f(-6)

Answers

Answer 1

Answer:f(x) = 3x2 + 5 and y = 3x2 + 5

Step-by-step explanation:

Answer 2

Answer:

Step-by-step explanation:

f(2) = (2)^2 - 4(2) + 5 = 4 - 8 + 5 = -4 + 5 = 1

f(-6)= (-6)^2 - 4(-6) + 5 = 36 + 24 + 5 = 60 + 5= 65


Related Questions

Now, graph the equation x - 2y = 7 below the
equation 8x - 4y = 56
What are the coordinates for x and y at the
intersection of the two lines?

Answers

Answer:

(7,0)

Step-by-step explanation:


The area of the football field is 57,600 square feet. If the width of the field is the length,what is the length of the football field?

Answers

Answer:

240

Step-by-step explanation:

57600=10×24×10×24

2. A line or line segment perpendicular to a line segment at the midpoint of the segment is a...

Answers

Answer:

A segment is called a perpendicular bisector of another segment if it goes through the midpoint and is perpendicular to the segment. While there can be many segments that bisect another segment, only one segment can be the perpendicular bisector.

Step-by-step explanation:

perpendicular bisector

Solve for y in 2y + 5 = - 3y - 10.*

Answers

Answer:

y = -3

Step-by-step explanation:

2y +3y = -10 -5 (collect the terms then calculate)

5y = -15 ( divide both sides )

then you'll get your answer which is y = -3

the answer is 3 because you have to cancel each other so 2y-2y which equals 0 and then you bring the 2y over to -3y and -3y-2y equals to 5y. then you have to cancel 5 out and you do 5-5 which equals 0 then -5-10 which equals 15. then you want to divide 15 and 5y which equals to 3. i hope this helps :)

helpppppppp pleaseeeee

Answers

To find the relative frequency of something, take the frequency and divide by the total number of data values.

Total number of data values = 1170

Row one: relative frequency = 5 / 1170 = 0.0043

Row two: relative frequency = 17 / 1170 = 0.0145

Row three: relative frequency = 52 / 1170 = 0.0444

Row four: relative frequency = 118 / 1170 = 0.1009

Row five: relative frequency = 172 / 1170 = 0.1470

Row six: relative frequency = 232 / 1170 = 0.1983

Row seven: relative frequency = 219 / 1170 = 0.1872

Row eight: relative frequency = 172 / 1170 = 0.1470

Row nine: relative frequency = 95 / 1170 = 0.0812

Row ten: relative frequency = 57 / 1170 = 0.0487

Row eleven: relative frequency = 23 / 1170 = 0.0197

Row twelve: relative frequency = 8 / 1170 = 0.0068

At a game booth, a student gets a box of candy as the prize for winning a game. The boxes come in four colors: white, red, green, and blue. There are 8 boxes of each color. All the boxes are equally likely to be given away as prizes. Which expression shows the probability of the first winner receiving a white box and the second winner also receiving a box of the same color? (1 point) 8 over 32 multiplied by 8 over 31 8 over 32 plus 8 over 31 8 over 32 plus 7 over 31 8 over 32 multiplied by 7 over 31

Answers

Answer:

32 multiplied by 8 over 31 8 over 32 plus

Step-by-step explanation:

i think this is the answer not quite sure tho

Answer:

32 multiplied by 8 over 31 8 over 32 plus

Step-by-step explanation:

The table below shows the total cost of buying printer ink cartridges for both members and nonmembers of a shopping club. Price of Ink at Shopping Club Number of ink cartridges purchased Total cost for members (with membership fee) Total cost for nonmembers 0 $30 0 1 $40 $25 2 $50 $50 3 $60 $75 Which statement is supported by the table?

Answers

Answer:

B

Step-by-step explanation:

Answer:

the answer is a i did the quiz

Step-by-step explanation:

A student has 2/3 quart of yellow paint in a container.The student uses 1/2 quart of the yellow paint to make green paint.How many quarts of yellow paint remains in the container after the student makes green paint?

Answers

Answer:

  1/6

Step-by-step explanation:

2/3 - 1/2 = 4/6 - 3/6 = 1/6

1/6 quart remains.

Answer:

There are 1/6 quarts left in the container.

Step-by-step explanation:

You need to subtract 1/2 (the paint used) by 2/3 (the paint in the container)

First, find the LCD (lowest common denominator) if you want to subtract.

3 x 2 = 6; you do the same to the numerator 2 x 2 = 4

4/6 (paint in the container)

2 x 3 = 6; you do the same to the numerator 1 x 3 = 3

3/6 (paint used)

Now, you subtract.

4/6 - 3/6 = 1/6 quarts

PLEASE HELP I W WILL MARK YOU BRAINLIEST

Answers

Answer:

200 students

Step-by-step explanation:

Since there are 7 buses and 6 of them are full you would multiply 30•6. Then you would multiply 2/3 with 30 to find how many are on the 7th bus, which is 20. So you would add 180 and 20 to get the answer

is the answer A),B),C) or D)?

Answers

Answer:

D) 2a-6

Step-by-step explanation:

Graham sold 6 less = -6

Than double what Adriania sold. = 2a

2a - 6

What’s -86.4 divided by 3.2

Answers

Answer:

-27

Step-by-step explanation:

Answer:-27

Step-by-step explanation:

2. What properties do you notice in the right triangle

Answers

Answer:

It has three sides

Step-by-step explanation:

Common sense

Answer:

The properties in a right triangle include

-one 90 degree angle

-the two angles that are not the right angle (90 degree angle) will always be acute angles

-the hypotenuse can easily be found by using the Pythagorean Theorem (a squared plus b squared equals c squared

-it has three sides

-it has three angles

Please help I have this due by tomorrow

Answers

Answer:

1) Linear Pair

2) Adjacent

3) Complmentary

4) Vertical

I need help in the simplest way!

Answers

I think it’s 378 or 462

2. Which of these graphs represents a function?

Answers

Answer:

I think the first one.

Step-by-step explanation:

Sonjesa found a job in advertising that pays a yearly salary of $47,300. What is her weekly salary?
$6,757.14
$909.62
$985.42
$3,941.67

Answers

Answer:

$909.62

Explanation:

If Sonjesa makes $47,300 a year and in a year there are 52 weeks we do the equation...

$47,300 / 52 weeks = weekly salary

47300 / 52 = 909.615

If we round that equals $909.62

Hope this helps!

One of the legs of a right triangle is twice as long as the other, and the perimeter of the triangle is 35. Find the
lengths of all three sides, to two decimal places.

i would appreciate if you showed work so i know how you did it!

Answers

Answer:

6.68, 13.37, 14.95

Step-by-step explanation:

One of the legs is twice as long as the other.

b = 2a

The perimeter is 35.

35 = a + b + c

The triangle is a right triangle.

c² = a² + b²

Three equations, three variables.  Start by plugging the first equation into the second and solving for c.

35 = a + 2a + c

c = 35 − 3a

Now plug this and the first equation into the Pythagorean theorem:

(35 − 3a)² = a² + (2a)²

1225 − 210a + 9a² = a² + 4a²

1225 − 210a + 4a² = 0

Solve with quadratic formula:

a = [ -(-210) ± √((-210)² − 4(4)(1225)) ] / 2(4)

a = (210 ± √24500) / 8

a ≈ 6.68 or 45.82

Since the perimeter is 35, a = 6.68.  Therefore, the other sides are:

b ≈ 13.37

c ≈ 14.95

The daily production cost, C, for x units is modeled by the equation: C = 200 – 7x + 0.345x2 Explain how to find the domain and range of C

Answers

domain is the sex of x values that are feasible. this is all of the positive integer values + 0, in case you only consider that can produce whole units.

range is the set of possible results for c(x), possible costs.

you can derive this from the fact that c(x) is a parabole and you can draw it, for which you can find the vertex of the parabola, the roots, the y intercept, the shape. also limit the costs to be positive.

you can substitute some values for x to help you, for example.

x y
0 200
1 200 - 7 + 0.345 = 193.345
2 200 - 14 + .345(4) = 187.38
3 200 - 21 + .345(9) = 182.105

the function does not have real roots, then the costs never decrease to 0.

the function starts at c(x) = 200, decreases until the vertex, (x = 10, c = 164.5) and starts to increase

then the range goes to 164.5 to infinity, limited to the solution for x = positive integers.

Answer:

This is a quadratic function, which is usually defined on all reals. But, the domain is restricted to x>=0 because it does not make sense to produce a negative number of units.

Find the vertex of the parabola at

(10.14, 164.5)

Since the parabola opens up, the range is y>=164.5

Step-by-step explanation:

If you shift the quadratic parent function, f(x) = x2,right 12 units, what is the
equation of the new function?
A. g(x) = x² + 12
B. g(x) = x2 - 12
ООО
C. g(x) = (x - 12)
D. g(x) = (x + 12)

Answers

The answer is c I’m pretty sure

Jacy has a collection of 140 coins worth $19.00. She has only nickels, dimes, and quarters. The difference in the number of dimes and the number of quarters is 10. Using matrices, how many nickels are in Jacy's collection? 38 50 95 130

Answers

Answer: She has 38 nickels

Step-by-step explanation:

Let's define:

N as the number of nickels, D as the number of dimes, and Q as the number of quarters.

She has 140 coins in total, so we can writen:

N + D + Q  = 140.

And the total value is $19.00

Then we have:

N*0.05 + D*0.10 + Q*0.25 = 19

And "The difference in the number of dimes and the number of quarters is 10."

D - Q = 10.

So we have a system of 3 equations and 3 variables:

N + D + Q  = 140.

N*0.05 + D*0.10 + Q*0.25 = 19

D - Q = 10.

First, let's isolate one of the variables in the third equation, i will isolate D.

D = 10 + Q.

Now we can replace this in the other two equations:

N + (10 + Q) + Q = 140

N*0.05 + (10 + Q)*0.10 + Q*0.25 = 19.

Now we can isolate Q in the first equation:

N + 10 + 2*Q = 140

2*Q = 140 - 10 - N

Q = 130/2 - N/2. = 65 - N/2

Now we can replace this in the other equation:

N*0.05 + 10*0.10 + Q*(0.10 + 0.25) = 19

N*0.05 + 10*0.10 + (65 - N/2)*( 0.35) = 19

Now we can find the number of nickels.

N*0.05 + 1 + 22.75 - N*0.175 = 19

23.75 - N*(0.175 - 0.05)  = 19

23.75 - 19 = N*0.125

4.75/0.125 = N

38 = N

She has 38 nickels

Answer:

A or 38 nickels

Step-by-step explanation:

Need help answering question 4

Answers

Answer:

(-1,5)

Step-by-step explanation:

To find this, you have to add both "x" coordinates, then divide them by two.

Same thing goes for the "y" coordinates, add them, then divide them by two.

x-coordinates --->  2+(-4)= -2

y-coordinates ---> 1+9= 10

-2÷2= -1

10÷2= 5

That gives you, (-1,5).

I need help on this question please

Answers

Answer:

a, c, and f

Step-by-step explanation:

becuase i took the test

Trapezoid ABCD is reflected over the line y - x. What rule shows the input and output of the reflection, and what is the new coordinate of A (1 point)
B
0
A
(X,Y)--(-x): A is at (1,5)
(X,Y) (YX); A' is at (1-5)
(x,y)--(-x,y); A' is at (5, 1)
(x,y)--(-X, "): A' is at (5, -1)

Answers

Answer:

(x,y)--(-X, "): A' is at (5, -1)

Step-by-step explanat

Answer:

(x,y)→(−x,−y); A' is at (5, −1)

Step-by-step explanation:

F(1)=2
F(n)=-3f(n-1)+[f(n-1)]^2 ?

Answers

Answer:

Step-by-step explanation:

Umm

simplify 1/3(6x−12)+4x

Answers

Answer:

não sei....................

Please include an explanation, i am confused. Thank you

Answers

Explanation:

Let's say,

(x1,y)  (x2,y2)

are two points in a

xy

plane. We can find the shortest distance between two point by applying the distance formula stated as:

Distance

=√(x2−x1) 2+(y2−y1) 2

So by putting our given points

(x1,y1)=(6,−5) and (x2,y2)=(−1,−4)

in the distance formula, we have:

¯¯¯¯¯¯CD=√(−1−6)2+(−4−(5)2

Simplify to get:

5√2

Please help I’m struggling on this question.

Answers

Answer: [tex]\frac{2(y^2-4y+40)}{(y-8)(y+4)}[/tex]

Step-by-step explanation:

To solve this problem, we want to make sure the denominators are the same on both fractions. Once they are equal, we can dd them together.

[tex]\frac{y+4}{y-8} +\frac{y-8}{y+4}[/tex]                      [multiply first fraction by y+4 and second by y-8]

[tex]\frac{(y+4)(y+4)}{(y-8)(y+4)} +\frac{(y-8)(y-8)}{(y-8)(y+4)}[/tex]   [distribute by FOIL]

[tex]\frac{y^2+8y+16}{(y-8)(y+4)} +\frac{y^2-16y+64}{(y-8)(y+4)}[/tex]   [add numerator]

[tex]\frac{y^2+8y+16+y^2-16y+64}{(y-8)(y+4)}[/tex]         [combine like terms]

[tex]\frac{2y^2-8y+80}{(y-8)(y+4)}[/tex]                       [factor out 2 from numerator]

[tex]\frac{2(y^2-4y+40)}{(y-8)(y+4)}[/tex]                  

Now we know that [tex]\frac{2(y^2-4y+40)}{(y-8)(y+4)}[/tex] is the factored form after adding.

How many solutions does this equation have?
-4 + 6n
7n
no solution
one solution
infinitely many solutions

Answers

Answer:

One solution

Step-by-step explanation:

-4 + 6n = 7n

you will subtract (6n-6n) which will cancel each other out, than subtract (7n - 6n) which will be (1n)

So now you will have    -4 = 1n

Now you will divide ( -4/1) which is -4

You don't have to divide -4 with 1, because its the same way as multiplying it.

Now you will have -4 = n

Perform the indicated row operations



Answers

Answer:

[tex]\begin{bmatrix}2 & -1 & -4 & 7\\ 0 & -30 & 20 & -50\\ 0 & 30 & 24 & 6\end{bmatrix}[/tex]

Step-by-step explanation:

Given matrix is,

[tex]\begin{bmatrix}2 & -1 & -4 & 7\\ 0 & 3 & -2 & 5\\ 0 & 10 & 8 & 2\end{bmatrix}[/tex]

Operations performed,

-10R₂ → R₂

[tex]\begin{bmatrix}2 & -1 & -4 & 7\\ 0 & -30 & 20 & -50\\ 0 & 10 & 8 & 2\end{bmatrix}[/tex]

3R₃ → R₃

[tex]\begin{bmatrix}2 & -1 & -4 & 7\\ 0 & -30 & 20 & -50\\ 0 & 30 & 24 & 6\end{bmatrix}[/tex]

Answer:

the multiple choice is A

Step-by-step explanation:

For questions 12-17, determine whether each statement is always, sometimes, or never true.

12. TQ and QT are the same line.

13. JK and JL are the same ray.

14. Intersecting lines are coplanar.

15. Four points are coplanar.

16. A plane containing two points of a line contains the entire line.

17. Two distinct lines intersect in more than one point.

Answers

Wowowowowowow a singurla fprm
Other Questions
The shortest known adult women is about 24 inches tall and tallest known adult woman is about 92 inches tall. write an absolute value equation that represents the minimum and maximum Heights. Use x to represent the heights. Would you rather be a knight or a samurai? Write a narrative story about one of these characters. Be sure to include narrative techniques such as dialogue, plot, characters and setting. A football team loses 8 yards on each of 4 consecutive plays. Find the total change in yards from where the team started. pls help fgkogijriojg whayt is the value 4x0.36 a decimal number in which a digit or group of digitsrepeats without end What is creativity? What are the characteristics of it? Explain a time when you tried to use it. In Sl measuring system what is the unit used for measuring length? * Help ASAP I'm bad at solving this I will give out 20 points! Chapter 8 what did Percy Jackson see when he receives a sign Poseidon is his father What is the opposite of the color gray? When Anita first planted the cherry tree in her yard, it was 20 feet tall. Now itis 95% taller. How tall is the tree now? Angle A and angle B are complementary angles. If m angle A = (x + 8) and mangle B = (8x + 1)", then find the measure of angle A. In a scale drawing of a painting, 1 centimeter represents 6 Inches.Scale1 cm: 6 inAnswer the following.(a) In the scale drawing, the length of the painting is 7centimeters. What is the length of the real painting?(I) inchesX(b) The height of the real painting is 24 inches. What is theheight of the painting in the scale drawing?I centimeters Question 7 of 15Ethnomusicology is the study of music in itscontext.O A. PsychologicalB. TheoreticalC. IndustrialO D. Cultural A toy car is given an initial velocity of 5.0 m/s and experiences a constant acceleration of 2.5 m/s2. What is the final velocity after 5.0 s? a 21.6 m/s b 19.2 m/s c 17.5 m/s d 24.5 m/s Chinatown in New York City would best be described as a _________ region.1. Formal2. Functional 3. Perceptual which of the following pairs consists of equivalent fractions 9/24 and 21/56? 6 different between mango and lotus Presented below are the basic assumptions and principles underlying financial statements. a. Historical cost principle d. Going concern assumption b. Economic entity assumption e. Monetary unit assumption c. Full disclosure principle f. Periodicity assumption Identify the basic assumption or principle that is described below. 1. The economic life of a business can be divided into artificial time periods. select a key letter 2. The business will continue in operation long enough to carry out its existing objectives. select a key letter 3. Assets should be recorded at their acquisition cost. select a key letter 4. Economic events can be identified with a particular unit of accountability. select a key letter 5. Circumstances and events that could make a difference to financial statement users should be disclosed. select a key letter 6. Only transaction data that can be expressed in terms of money should be included in the accounting records. is magnesium a pure substance????