Given the quadratic equation: f(x) = x2+4x-21



Identify a, b, and c from your original standard form equation.



a= _____ b= _____ c=_____
PLEASE HURRY

Answers

Answer 1

Answer:

f(x)= x²+4x-21

a= 1 b=4 c=-21

Answer 2

from [tex]y=ax^2+bx+c[/tex] and [tex]y=x^2+4x-21[/tex] | Compare the coefficients.

Thus the answer is a = 1, b = 4 and c = -21


Related Questions

angle 4=x+30 and angle 2=2x+15. Find the measure of angle 4

Answers

Answer:  

4 is equal to x=1 + 30 will be 31

Step-by-step explanation:

2= 2x1 that is equal to 2 + 15= 17

in conclusion 2=17   and 4=31

order the decimal from least to greatest 6.38,6.4,6.325,6.42

Answers

6.325,6.38,6.4,6.42. When the value on the left side is all the same u can just look at the right values alone. U can change .38 to .380 and compare it with .325. We see that .325 is smaller than .38.

You need to paint a decorative garden ornament that is in the shape of pyramid with a square base

that is 9 inches long and has a slant height of 12 inches.


a. A smaller pyramid has linear dimensions that are

times that of the larger pyramid. Does the

smaller pyramid require times the amount of paint? Explain.


b. Another pyramid has the same base lengths but the slant height. Does this pyramid require

the paint as the original pyramid? Explain.

Answers

Step-by-step explanation:

Total Surface area of a pyramid is given as

= Lateral surface area + area of base.

Lateral surface area = 1/2×perimeter of base×slant height

given the base is square with side 9 in , and slant height of 12 inches.

therefore, LSA = 1/2(9*4)×12 = 216 in^2

Now, TSA = LSA + Base area = 216+9^2 = 297 in^2

a) It is given that the pyramid is smaller therefore, it will require lesser paint than the original pyramid ( The TSA of the smaller pyramid cannot be calculated as its dimentions are not given).

b) It can not be solved as dimensions are missing in the question.

However, the logic has been explained in the soluion one easily put values to find the solution.

Solve: 7n + 5 = -44 HELPPPPPPPPPPP

Answers

Answer:

-7

Step-by-step explanation:

7n+5=-44

-5 - 5

7n=-49

7/7 -49/7

n = -7

ASAP PLZ HELP ME WITH THE QUESTION

Answers

Answer:

(0, 0)

Step-by-step explanation:

None

I’m alive but I’m dead. Sad :(

What is the solution to this system of equations?

x − 2y = 15
2x + 4y = -18

Answers

Step-by-step explanation:

just substitute them in the x and y variables.

if the answer is equal to the answers on the other side of the equation than it correct

Answer:

x=3 , y=-6

Step-by-step explanation:

 x − 2y = 15 is one of the problems. so x in this problem stays as 3, and double of y is -12, so if we take 3 - (-12) or more simply, 3+ 12, which is 15.

2x + 4y = -18  is the other problem. so x is doubled making x equal to 6, and four times y, or -6, is equal to -24 . So bringing the while thing together, 6 + -24, or put more simply, 6-24=-18, making the answer

x=3 , y=6

Triangles ABC and DEF are similar.
Find the length of segment AC.

Answers

Answer:

4.6 I think

Step-by-step explanation:

Help me with this it’s for geometry

Answers

Answer:

110⁰

Step-by-step explanation:

It's a rule that in parallel intersections such opposite angles are congruent.

110 degrees because they are congruent angles

I just need to no the answer asapp

Answers

Answer:

step 2

Step-by-step explanation:

Mark didnt do 5×5

Tickets numbered 4, 5, 6......48, 49 are placed in a box and mixed thoroughly. One ticket is drawn from the box. Find the probability that the number on the ticket is:
(i) an even number (ii) A number less than 16
(iii) a perfect square (iv) a prime number less than 30.

Answers

Answer:

i) The probability that the number on the ticket is even is [tex]\mathbf{\frac{1}{2}}[/tex]

ii) the probability that the number on the ticket is a number less than 16 is [tex]\mathbf{\frac{6}{23}}[/tex]

iii) The probability that the number on the ticket is a perfect square is [tex]\mathbf{\frac{5}{46} }[/tex]

iv) the probability that the number on the ticket is a prime number less than 30 is [tex]\mathbf{\frac{4}{23} }[/tex]

Step-by-step explanation:

Tickets numbers are: 4, 5, 6......48, 49

So, total tickets in box = 46

We need to find probability that the number on the ticket is:

i) an even number.

Even number in tickets are: 4,6,8,10,12,14,16,18,20,22,24,26,28,30,32,34,36,38,40,42,44,46,48

Total number of favourable outcomes = 23

So, the formula used is: [tex]Probability=\frac{Number\:of\:favourable\:outcomes}{Total\:number\:of\:outcomes}[/tex]

Total number of outcomes = 46

Number of favourable outcomes = 23

Putting values and finding probability

[tex]Probability=\frac{Number\:of\:favourable\:outcomes}{Total\:number\:of\:outcomes}\\Probability=\frac{23}{46}\\Probability=\frac{1}{2}[/tex]

So, the probability that the number on the ticket is an even number is [tex]\mathbf{\frac{1}{2}}[/tex]

ii) A number less than 16

Even number in tickets are: 4,5,6,7,8,9,10,11,12,13,14,15

Total number of favourable outcomes = 12

So, the formula used is: [tex]Probability=\frac{Number\:of\:favourable\:outcomes}{Total\:number\:of\:outcomes}[/tex]

Total number of outcomes = 46

Number of favourable outcomes = 12

Putting values and finding probability

[tex]Probability=\frac{Number\:of\:favourable\:outcomes}{Total\:number\:of\:outcomes}\\Probability=\frac{12}{46}\\Probability=\frac{6}{23}[/tex]

So, the probability that the number on the ticket is a number less than 16 is [tex]\mathbf{\frac{6}{23}}[/tex]

iii) a perfect square

Perfect squares are: 4,9,16,25,36

Total number of favourable outcomes = 5

So, the formula used is: [tex]Probability=\frac{Number\:of\:favourable\:outcomes}{Total\:number\:of\:outcomes}[/tex]

Total number of outcomes = 46

Number of favourable outcomes = 5

Putting values and finding probability

[tex]Probability=\frac{Number\:of\:favourable\:outcomes}{Total\:number\:of\:outcomes}\\Probability=\frac{5}{46}[/tex]

So, the probability that the number on the ticket is a perfect square is [tex]\mathbf{\frac{5}{46} }[/tex]

iv)  a prime number less than 30.

Prime numbers less than 30 are: 5,7,11,13,17,19,23,29

Total number of favourable outcomes = 8

So, the formula used is: [tex]Probability=\frac{Number\:of\:favourable\:outcomes}{Total\:number\:of\:outcomes}[/tex]

Total number of outcomes = 46

Number of favourable outcomes = 8

Putting values and finding probability

[tex]Probability=\frac{Number\:of\:favourable\:outcomes}{Total\:number\:of\:outcomes}\\Probability=\frac{8}{46}\\Probability=\frac{4}{23}[/tex]

So, the probability that the number on the ticket is a prime number less than 30 is [tex]\mathbf{\frac{4}{23} }[/tex]

7/12+1/3 show your work and how you got your answer and you do all that and don’t scam me I will give branlist

Answers

Answer: 11/12

Step-by-step explanation:

7/12 and 1/3 don’t have the same denominator, so you can’t just add them right away. You have to give them the same bottom number. 1/3 = 4/12, so you can do it like this:

7/12 + 4/12 = 11/12

11/12 is in simplest form, so that should be correct! Hope this helps! :)

Step-by-step explanation:

Hi so are we dating?????

please help!! 1. A recipe for apple cider calls for 5 cups of apple juice and 3 cups of water. Which equation can be used to find x, the percent of apple juice in the recipe?


A. 5/3=x/100

b 3/5=x/100

c 8/3=100/x

d 8/5=100/x

Answers

Answer:

the answer will be A

brian buys 1 pack of baseball cards to add to the 2 cards his friend gave him. then his mother gives him 2 more packs as a special treat. now he has as many cards as marcus who owns 1 pack plus 12 loose cards. how many cards are in each pack? SHOW WORK


Can give brainliest

Answers

Bkxndkdodkfjdodjfjdodjdndj

What is m∠PQR? please help

Answers

Answer:

127

Step-by-step explanation:

The angles add up to 180° since they are on a straight line. Find 3x - 5.

3x - 5 + x + 1 = 180

4x - 4 = 180

4x = 180 - 4

    = 176

x = 176 ÷ 4

x = 44

3x - 5 = 3(44) - 5

          = 132 - 5

          = 127

Answer:

Step-by-step explanation:

<PQR=3X-5

I need help! :) please & ty

Answers

Answer:

Step-by-step explanation:

NO we can not prove ΔDEF ≅ΔOPQ using SAS congruence theorem becasue we are given ( not a Side Angle Side)

∠D≅∠O (Angle)

DF ≅ OQ (Side)

∠F ≅∠Q (Angle)

HOWEVER,

The  ΔDEF ≅ΔOPQ because ASA concruence.

Find the slope of the line.

I WILL MARK BRAINYLIST JUST HELP MEEE

Answers

Answer:

-1/3

Step-by-step explanation:

join the zoom call and i can explain that way when another question comes no need to waste points: 73216153508 thats the code to join

A. the slope is -1/3 because you are going down 1 and over 3.

help me 20 POINTS
math math math by the way do questions 10 and 13 on page 176

Answers

Answer:

Step-by-step explanation:

12.

13. Yes it is propoitinal because they are even

Find the measure of angle A

Answers

Answer:

21 degrees

Step-by-step explanation:

Triangles have a total angle of 180 degrees.

This makes our equation:

3x+3+4x+135=180

Subtract 135 from both sides and combine like terms

7x + 3 = 45

Subtract 3 from both sides

7x = 42

Divide both sides by 7

x = 6

Plugging the number in:

3x + 3 =

3(6) + 3 =

21

What are the solutions of x^2 - 2x + 10 = 0?

Answers

Answer:

C. x = 1 + 3i or x = 1 - 3i

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Standard Form: ax² + bx + c = 0Quadratic Formula: [tex]x=\frac{-b\pm\sqrt{b^2-4ac} }{2a}[/tex]

Algebra II

Imaginary Roots: √-1 = i

Step-by-step explanation:

Step 1: Define

x² - 2x + 10 = 0

Step 2: Identify Variables

a = 1

b = -2

c = 10

Step 3: Find roots

Substitute [Quad Formula]:                    [tex]x=\frac{2\pm\sqrt{(-2)^2-4(1)(10)} }{2(1)}[/tex]Exponents:                                              [tex]x=\frac{2\pm\sqrt{4-4(1)(10)} }{2(1)}[/tex]Multiply:                                                   [tex]x=\frac{2\pm\sqrt{4-40} }{2}[/tex]Subtract:                                                  [tex]x=\frac{2\pm\sqrt{-36} }{2}[/tex]Factor:                                                     [tex]x=\frac{2\pm\sqrt{-1} \sqrt{36} }{2}[/tex]Simplify:                                                   [tex]x=\frac{2\pm6i }{2}[/tex]Factor:                                                     [tex]x=\frac{2(1\pm3i) }{2}[/tex]Divide:                                                     [tex]x=1\pm3i[/tex]

Help asap due soon...

Answers

Answer:i think D but i would see what others say first

Step-by-step explanation:

Answer:

B) 1p - 0.4p

Step-by-step explanation:

40% to a decimal is 0.4, so that immediately marks "A" and "C" wrong.

Now what you're trying to find is the expression itself, so you want to first look for keywords, 'cause sometimes they can just give away the answer.

"A" says you're multiplying (a variable beside a number means to multiply)

"B" says you're subtracting 1p (1 x p) and 0.4p (0.4 x p)

"D" says you're adding 1p (1 x p) and 0.4p (0.4 x p)

So, now you look over the question.

Really you can mark "A" wrong. Now it's just between "B" and "D."

When you use percentages and an item, you're taking it OFF the price. So, the answer is B.

1/2expand the equation 1/2(3+4t-10)=

Answers

[tex] \frac{1}{2} (3 + 4t - 10)[/tex]

[tex] \frac{3}{2} + \frac{4t}{2} - \frac{10}{2} [/tex]

[tex] (\frac{3}{2} - \frac{10}{2}) + 2t [/tex]

[tex] \frac{ - 7}{2} + 2t[/tex]

[tex] - 3.5 + 2t[/tex]

four and seventy-two thousandths

Answers

Answer:

4.072

Step-by-step explanation:

Answer:

72,004

Step-by-step explanation:

Brainliest? Thanks!

complete the table for values y= 2x+ 3

Answers

Answer:

There should be a table with the values of x  to find Y or vice versa, it depends.

Step-by-step explanation:

it's an easy way to answer this question in the table given. You just have to substitute the given values into the formula and find the Yor X depending on the table what you are searching for?

for example, if you are given x as 2 then, to find Y will be:

Y =2(2) + 3

Y = 7

if each value of the data of the poplation function is doubled which of the following is not correct?
A. the mean is doubled
B. the mode is doubled
C. the variance is doubled
D. the median is doubled

Answers

Answer:

The variance is doubled; C

Step-by-step explanation:

Here, we want to select what will be wrong if every number in the dataset is doubled

A. This is correct

The mean is the average of the numbers which is calculated by dividing the sum of the numbers by the count of the numbers

By doubling the numbers, we have simply doubled the sum while the count is same

So what we have as the result of the division will be 2 times what we had initially making the mean doubled

B. The mode is doubled

Yes, this is correct

The mode is the highest in frequency

Doubling all numbers will not double their frequencies but their values. So the number that was the mode in the previous case will be the same but now doubled

D. The median is doubled

This is correct

The median deals with the middle number.

Since all numbers are doubled in the present case, the median to is also doubled along side as the numbers are now twice what they were evenly

C. This is wrong

The variance has to do with the spread of data

We are actually subtracting values

Since we are doubling across board, the difference between the numbers is the same as this, the variance cannot change

We can look at this from the angle that all others are measures of central tendency looking at having a central figure while the variance is a measure of spread.

what's a line segment ray in ur OWN words
If it's from Go.ogle ur answer will be deleted

Answers

Answer:

a line segment is an object with two endpoints , a ray is a  part of a line that has no fixed starting point

Step-by-step explanation:

Math people I’ll make brianliest

Answers

[tex]y=3x[/tex]

The input is classified as x term

The output is classified as y term.

If the input is -4 then

Substitute x = -4 in y = 3x

[tex]y=3(-4)\\y=-12[/tex]

Therefore, the answer is -12 aka the first choice.

HELP ME PLEASE! ASAP

Answers

the answer C

the vertical distance after when D=2

is T

B after she had walked t kilometers along the trail ,Erica’s vertical distance from the top of the valley was equal 2 to km

Which is the minimum or maximum value of the given function?

Answers

Answer:

its b for the both of them

Help please!
Thank you!

Answers

Assuming that a car gets 28 miles per gallon of gas, how many gallons of gas are required for the car to go 560 miles?

Answer:

81

Step-by-step explanation:

y= x²

if x= 9 substitute x with 9 in the equation

y= 9² = 81

Oliver is starting a running plan to train for a race. In the first week of his running plan, Oliver will run 14 miles. The plan calls for Oliver to increase his weekly milage by 3.5 miles every week. If Oliver sticks to the plan, how many miles would he be expected to run during his 10th week of the training plan?

Answers

the answer would be 49 miles

if you let x equal the number of weeks and y equal the total amount of miles, you could set up the equation

y = 3.5x + 14

to find the amount of miles Oliver ran during the 10th week, you would plug in 10 for x, giving you

y = 3.5(10) + 14
y = 35+14
y=49

Answer:

49 miles

Step-by-step explanation:

Let x be equal to the no. of weeks and y be equal to the total amount of miles ran.

Then the equation will be, y = 3.5x + 14

Now to find the amount of miles Oliver ran during the 10th week substitute 10 for x.

So, y = 3.5(10) + 14

y = 35+14

y=49

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