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

Given h(x) = 4x2 - 5x + 4 find h(-5).

Answers

9514 1404 393

Answer:

  h(-5) = 129

Step-by-step explanation:

Put -5 where x is and do the arithmetic.

  h(-5) = 4(-5)² -5(-5) +4

  h(-5) = 4(25) +25 +4 = 129

Answer:

answer is 129

Step-by-step explanation:

4(-5)^2 -5(-5) +4 =129

at Kayla swimwear 6 out of 20 style at the store are bikinis what percentage of swimsuit styles at the store are bikinis​

Answers

Answer:

is wrong,6/20,3/10

Step-by-step explanation:

The quadratic x squared - 4x -21 find values of a and b

Answers

So the equation to remember is ax^2+bx+c so since the equation is x^2-4x-21 then a is x^2 and b is -4x

What is the area of the triangle shown?

Answers

Answer:

you need to show the triangle shown on your math question or we can't answer it

Step-by-step explanation:

Multiply the the numbers of the triangle and then divide it by two

find the 7th term in the sequence
2,8,32,128

Answers

Answer:

8192

Step-by-step explanation:

The pattern here is that each term multiplied by 4 is the next number. You can keep multiplying by 4 until you reach the 7th term. So the 5th term will be 128x4 = 512. The 6th term will the 512x4 = 2048. And finally, the 7th term will be 2048x4 = 8192.

Make y the subject of the following equation.
5x + y = -10
a. y = -5x + 10
b. y=-10 - 5x
c. y = -10 + 5x
d. y + 10 = -5x​

Answers

Answer:

b

Step-by-step explanation:

if you subtract 5x then you will get y=-10-5x

The correct answer is B!

line p had a slope of 5/4. line q is perpendicular to line p. what is the slope of line q?

Answers

Answer: -4/5

Step-by-step explanation: It's important to understand

that perpendicular lines have negative reciprocal slopes.

"Negative reciprocal" is just a fancy way

of saying flip the fraction and change the sign.

So if we flip the fraction 5/4 we get 4/5 and

if we change the sign we get -4/5.

Tthere are 5 people already in the pool.jonas and his 2 friends get in.how many people are in the pool ​

Answers

8 people because there are 5 people plus Jonas(1) plus his 2 friends so 5+1+2=8

Is three fourths more than three eights

Answers

Answer:

yes

Step-by-step explanation:

not sure how to explain it's kinda hard sorry

Answer:

Yes

Step-by-step explanation:

la suma de las areas de dos cuadrados es 218​

Answers

 

218 = 49 + 169 = 7² + 13² 218 = 7² + 13²      

Use SSS, SAS, ASA, AAS, or Not Enough Information to identify the postulate or theorem that immediately confirms the congruence for each pair of triangles. Justify your answer.

Answers

Answer:

e) SAS

f) Not enough information

Step-by-step explanation:

e) Sas because there is an angle in between two sides and for that angle is opposite angles

f) Not enough information because SSA is not a theorem

four pieces of pie were eaten from a pie cut into equal parts. The 5 pieces that remained created an angle that measured 200°. What was the angle measure of one piece of pie

Answers

Step-by-step explanation:

The 5 pieces that remained created an angle that measured 200 degree means that the 4 pieces made 360-200 degrees 160o.

If all four made 160 then each has to be 160/4 = 40o

200/5 also gives you 40 (the five remaining)

360/9 would also give you 40 9the 5 remaining and the 4 eaten)

I hope this helps

Can some plz help me I need it rn

Answers

Answer: Brians milk

-3xy-x²y²+1 is evaluated when x=-1 and y=-1 , then what is the exact value ?

Answers

Answer:

-3

Step-by-step explanation:

-3(-1)(-1)-(-1)^2(-1)^2+1

=-3

hopes this helps?!?!

Answer -2

Step-by-step explanation:

-3(-1)(-1)-(-1)^2(-1)^2+1

-3-1+1+1

-4+2

=-2

which fraction is equevleint to 5/7

Answers

Answer:

10/14

Step-by-step explanation:

Answer: 10/14

Step-by-step explanation:

Plz help (x+10)(x+3) expand and simplify ​

Answers

(x+10)(x+3)
x^2+3x+10x+30
x^2+13x+20 *final answer*

What is the remainder of 96÷7

Answers

I think 13.7, I hope this is right

Answer:

13 reminder 7.

Step-by-step explanation:

7in to ft! help please im lazy and also make the answer a fraction or decimal

Answers

Answer:

0.58 ft

Step-by-step explanation:

I asked Siri how many ft are in 7 inches it doesn’t take much effort

166. Запишите все целые числа, расположенные на координатной прямой между числами:

Answers

Answer:

Don’t speak that language sorry maybe translate into English?

Identify the reason that justifies each statement.

Answers

Answer:

Vertical angles

Step-by-step explanation:

The diagram shows two straight line intersecting to form vertical angles. One of such pair of vertical angles formed is <1 and <2.

Vertical angles are congruent to each other. Therefore, the reason why <1 ≅ <2 is because they are vertical angles or vertical angles pair.

A Rectangle and a triangle have the same area if their base all the same link how do there Heights compare

Answers

Answer:

i think thay are the same

Step-by-step explanation:

:)

A calf gains weight proportional to the difference between 1200 and its weight, w in pounds and t in years.
a)Assuming the calf weight 75 pounds at birth and doubled its weight in 10 days, solve the differential equation for w, as a function of t
b)If the animal sold when its weight reaches 800 pounds, find the number of days to wait to sell.
c)What is the maximum weight of the animal? Show work that leads to your answer

Answers

C. Because if the weight is max of the animals than add them all too

Jack runs 3/5 mile. Ben runs 4 times as far as Jack. How far does Ben Run ? How many more miles does Ben run than Jack? Use a model to help you solve and explain your thinking.

Answers

Answer:

2/4? im not sure

Step-by-step explanation:

the entrance fee for daily tasks zoo is $8.50 per person the price for a monthly passes $52.50 if Maya goes to the zoo 10 times this month how much would she save by purchasing a monthly pass​

Answers

Answer:

she will save $32.50 with the monthly pass

Step-by-step explanation:

i dont know this help me

Answers

Me either only god can answer that one

Find the difference:
1
0.4 3 0 8

Answers

Answer:

0.5692

Step-by-step explanation:

1 - MINUS 0.4308 = EQUALS 0.5692 BUT I DONT THAT IS IT

One lap around the lake is 710 mile.
Dasha runs 9 laps around the lake.

Use the drop-down menus to complete the equation.

Answers

the answer should be 63/10

Find the values of the trigonometric functions of from the information given.
tan() = −5, sin() > 0
sin =
cos() =
csc() =
sec() =
cot() =

Answers

Why are you cheating... I will report this to your teacher

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Answer:

Step-by-step explanation:answer is c

name the property that the statement illustrates (photo)

Answers

Answer:

I dont see a photo?

Step-by-step explanation:

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