Consider the function f(x) = x^2 - 10x - 24. Given that one of the solutions of the function is x = -2, what is the other solution of the func​

Answers

Answer 1

Answer:

5

Step-by-step explanation:

You want me to let you in on a secret? There's a simple equation that you can use to solve any quadratic problem in a minute or two.

It's the quadratic formula

x =  [tex]x = \frac{-b +- \sqrt{b^2 - 4ac} }{2a}[/tex]

The +- means that you will do this two times, the first time you will do -b + sqrt(b^2-4ac), and the second time you will do minus that.

a is the coefficient of the first term in the expression, b is the second and c is the third.

so we get[tex]x = \frac{-(-10) +- \sqrt{(-10)^2 - 4(1)(24)} }{2(1)}[/tex] , which is the same as

[tex]x = \frac{10 + \sqrt{100 - 24(4)} }{2}[/tex]

and

x = [tex]x = \frac{10 - \sqrt{100 - 24(4)} }{2}[/tex]

The top part simplifies to [tex]\frac{10 + \sqrt{100 - 72} }{2} = \frac{10 + 6}{2} = 5[/tex], which is your answer.


Related Questions

your uncle is offering to

Answers

Answer:

tgerggeergegrergeger

Step-by-step explanation:

Answer:

give me money

Step-by-step explanation:

Algebra quadrilateral dklm is a rhombus if dk=8, find kL

Answers


Pretty sure kL is also 8 since it’s a quadrilateral

if lana bought cigarettes for $3.00/pack X 7 packs/week X 52 weeks/year X 10 years, how much would it be?

EASY QUESTION OF THE DAY (whoever answers first gets brainly!)

Answers

Answer:

she would be spening over a thousand dollars

Step-by-step explanation:

Asnwer:

10,920$

Step-by-step explanation:

So if 3.00$ is for one pack and she wants 7 packs then it would be 21$.

But if we also multiply it by 52 weeks then that would be 1,092$.

Then if she's buying that for 10 years then we multiply 10 x 1,092$ which would equal 10,920$

(I'm not completely sure if I did the math right but I'm 90% sure I did because that's what the question is asking.)

cual es mayor 3/12 o 3/8

Answers

Answer:

3/8

Step-by-step explanation:

Answer:

3/8

Step-by-step explanation:

3/12 = 0.25

3/8 = 0.375 este es mayor

Does this expression represent the sum 13.76 + 2.8?

fifteen and fifty-six hundredths

Answers

Answer:

False

Step-by-step explanation:

False becuase numbers dont add up

Compared to last year, the population of Boom Town has increased 25%. The
population is now 6,600. What was the population last year?

Answers

Answer:

Step-by-step explanation:

1.25p=6600

p=6600/1.25

p=5280

Hey someone pls help the girl out

Answers

Answer:

because one i one is higher than the other, if you look at it

Answer:

Larger

Step-by-step explanation: 6/5= 1.2 so 1.2 would be diametrically larger

please help me with this question​

Answers

Answer

777

Step-by-step explanation:

jnimimimimimim000

Answer: 777

Hope this helps!!

Sorry if it's not correct!!

find the 7th term in the sequence
1/3,1,3,9

Answers

y = 3x

Proof:

3(1) = 3

3(3) = 9


5. 9(3) = 27

6. 27(3) = 81

7. 81(3) = 243


The 7th term is 243.
So peosjdjnds. Sksjsjsnsnejdd

toby has already cycled 6 kilometers this year, plus he plans to cycle 14 kilometers during each trip to work. after 3 trips to work, how many kilometers will toby have cycled?

Answers

Answer:

48 kilometers

Step-by-step explanation:

If Toby has traveled to work 3 times, and each time he traveled 14 kilometers, to find out how many kilometers he's traveled total, all you have to do is multiply 14 x 3, which equals 42. To find out how many kilometers he's traveled in all this year, just add the amount of kilometers he has already traveled. (42+6)

I would like to know the answer

Answers

Answer:

5x^2-2x+4

Step-by-step explanation:

Subtract the x square, x, and numbers

LuANN is playing a math game. She chooses 3 cards. The value of her cards is hownn below
First card: -12
Second card: 3
Third card: -5
What was the sum of the value of LuANNS three cards?

Answers

I believe it is -14 :)

The sum of 88 elephants and x
elephants is 145 elephants.

Answers

57 elephants = x
Hope this helps

Answer:

x=57

Step-by-step explanation:

To solve this problem we need to make an equation to use to solve x.

The sum of 88 and x will equal 145 so the equation will look like this, 88 + x = 145.

Whatever x is, it has to add with 88 to make 145 so we have to use reverse operations.

The opposite of addition is subtraction so we subtract 88 from 145 like so. 145 - 88 = 57, which means x = 57.

If you need me to explain further don’t hesitate to ask me and I hope I helped! :)

Pls answer this ASAP thank you!

Answers

The answer is C easy

Sam made fruit punch for a party. He mixed 3 gallons of orange juice, 2 quarts of pineapple juice, 4 pints of cranberry juice, and 6 cups of apple juice. How many quarts did he make in all?

Answers

Answer:

19 quarts

Step-by-step explanation:

you change the measurements to quarts.

What is 0.7151 as a fraction?

Answers

Answer:

i think its this

Step-by-step explanation:

*look at le picture

2y = x - 4
4x + 3y = 5

Answers

Answer:

the answer is, {x,y} ={2,1}

Step-by-step explanation:

1) 4x - 3y = 5     2) x + 2y = 4   3) 4•(-2y+4) - 3y = 5     4) - 11y = -11                         5) 11y = 11   y = 1    6)   x = -2y+4 y = 1    7)   x = -2(1)+4 = 2 = {x,y} = {2,1} !!!

Can y’all help me a question 25?!

Answers

Answer:

19.8839 miles away

Step-by-step explanation:

:)


7. Marie can make 12 small mango pies for every 10 mangoes. How many pie
A. Marie can make 30 pies.
C. Marie can make 50 pies
B. Marie can make 40 pies.
D. Marie can make 60 pies

sorry putol po kasi eto​

Answers

Answer:

D. Marie can make 60 pies.

Step-by-step explanation:

In this problem, we know that amount of small mango pies is directly proportional to the amount of mangoes. The amount needed for preparing an amount of pies is calculated by simple rule of three:

A. Marie can make 30 pies.

[tex]x = \frac{10\,mangoes}{12\,pies}\times 30\,pies[/tex]

[tex]x = 25\,mangoes[/tex]

25 mangoes are required for producing 30 pies.

B. Marie can make 40 pies.

[tex]x = \frac{10\,mangoes}{12\,pies}\times 40\,pies[/tex]

[tex]x = 33.333\,mangoes[/tex]

34 mangoes are required for producing 40 pies.

C. Marie can make 50 pies.

[tex]x = \frac{10\,mangoes}{12\,pies}\times 50\,pies[/tex]

[tex]x = 41.667\,mangoes[/tex]

42 mangoes are required for producing 50 pies.

D. Marie can make 60 pies.

[tex]x= \frac{10\,mangoes}{12\,pies}\times 60\,pies[/tex]

[tex]x = 50\,mangoes[/tex]

50 mangoes are required for producing 60 pies.

The complete statement is: Marie can make 12 small mango pies for every 10 mangoes.How many pies can she make with 50 mangoes.

Hence, correct answer is D.

someone pls help me with this question

Answers

Answer:

Surface Area = 2×(6×8 + 6×4 + 8×4) = 208 centimeters2

Step-by-step explanation:

Step-by-step explanation:

please see the attachment..n note it somewhere on a sheet n paste that at a place where you can see that every now n then...so you'll learn that slowly n gradually... you'll enjoy!!!(◍•ᴗ•◍)❤

20 + 60 ÷ 5 + (9 - 4)2

Answers

Answer:

42

Step-by-step explanation:

20 + 60 ÷ 5 + (9-4)2

Use PEMDAS to solve this equation, so first solve what is in the parentheses

20 + 60 ÷ 5 + (5)2

Since there are no exponents, next solve the multiplication

20 + 60 ÷ 5 + 10

Next is division

20 + 12 + 10

Finally, addition

42

helo wat is 9 plus tin plez help also you mom old like prehistoric dinosaur

Answers

Answer:

9 plus ten is 19

Step-by-step explanation:

Answer: 21

Step-by-step explanation:

Actually its 19 but with extreme measures its 21

name the property that the statement illustrates (photo)

Answers

Answer:

I dont see a photo?

Step-by-step explanation:

1. If AABD - AHGE and AC and HF are angle

bisectors, find x.

B

G

F

24

. م

X

35

E

14

H

Answers

Answer:

9.6

Step-by-step explanation:

Find the diagram attached. Using the similarity theorem of triangles

AC/AD = FH/EH

Given

AC = 24

AD = 35

FH = x

EH = 14

Substitute into the formula

24/35 = x/14

Cross multiply

35×x = 24×14

35x = 336

x = 336/35

x = 9.6

Hence the value of x is 9.6

11 b = 5, what is a
B. 25
C, 75
D. 125

Answers

Answer:

2.2

Step-by-step explanation:

Elsa, Ryan, and Bill have a total of $135 in their wallets. Ryan has 4 times what Bill has. Elsa has $9 more than Bill. How much does each have?

Answers

Answer:

Bill has $21.

Step-by-step explanation:

There's $135. 84/4=21. At the same time, 21+9=30. 30+21+84=135.

1. If a height of each of the bars in a bar graph get taller as you go from the far left to the far right, the data are:

A. skewed left

B .symmetrical

c skewed right

D. No answer text provided.


2. If the height of each of the bars in a bar graph get shorter as you go from the far left to the far right, the data are:

A. skewed left

B. symmetrical

C. skewed right

D. No answer text provide

3. If the height of the each of the bars in a bar graph as you go from the far left to the right gets taller until you reach the middle and then gets shorter as you continue to the far right, the data are:
Group of answer choices

A.skewed left

B. symmetrical

C. skewed right

D. No answer text provided.

Answers

Answer:

1. Skewed to left (negative)

2. Right skewed (positive)

3. Symmetric

Step-by-step explanation:

16.) Choose the words that make the sentence true.
The number 12 is
prime
composite
because it has
two factors.

Answers

Answer:

12 is composite because it has more than two factors.

Step-by-step explanation:

I need help 6x-2y=10 x-2y=-5 solve by elimination

Answers

ExplanationGiven the system of equations.

[tex] \begin{cases} 6x - 2y = 10 \\ x - 2y = - 5 \end{cases}[/tex]

Solve the system of equations by eliminating either x-term or y-term. We will eliminate the y-term as it is faster to solve the equation.

To eliminate the y-term, we have to multiply the negative in either the first or second equation so we can get rid of the y-term. I will multiply negative in the second equation.

[tex] \begin{cases} 6x - 2y = 10 \\ - x + 2y = 5 \end{cases}[/tex]

There as we can get rid of the y-term by adding both equations.

[tex](6x - x) + ( - 2y + 2y) = 10 + 5 \\ 5x + 0 = 15 \\ 5x = 15 \\ x = \frac{15}{5} \longrightarrow \frac{ \cancel{15}}{ \cancel{5}} = \frac{3}{1} \\ x = 3[/tex]

Hence, the value of x is 3. But we are not finished yet because we need to find the value of y as well. Therefore, we substitute the value of x in any given equations. I will substitute the value of x in the second equation.

[tex]x - 2y = - 5 \\ 3 - 2y = - 5 \\ 3 + 5 = 2y \\ 8 = 2y \\ \frac{8}{2} = y \\ y = \frac{8}{2} \longrightarrow \frac{ \cancel{8}}{ \cancel{2}} = \frac{4}{1} \\ y = 4[/tex]

Hence, the value of y is 4. Therefore, we can say that when x = 3, y = 4.

Answer Check by substituting both x and y values in both equations.

First Equation

[tex]6x - 2y = 10 \\ 6(3) - 2(4) = 10 \\ 18 - 8 = 10 \\ 10 = 10 \longrightarrow \sf{true} \: \green{ \checkmark}[/tex]

Second Equation

[tex]x - 2y = - 5 \\ 3 - 2(4) = - 5 \\ 3 - 8 = - 5 \\ - 5 = - 5 \longrightarrow \sf{true} \: \green{ \checkmark}[/tex]

Hence, both equations are true for x = 3 and y = 4. Therefore, the solution is (3,4)

Answer

[tex] \begin{cases} x = 3 \\ y = 4 \end{cases} \\ \sf \underline{Coordinate \: \: Form} \\ (3,4)[/tex]

What is the percent increase from 40 to 64

Answers

Answer:

60 percent

Step-by-step explanation:

Where: 40 is the old value and 64 is the new value. In this case we have a positive change (increase) of 60 percent because the new value is greater than the old value.

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