MATHEMATICS HIGH SCHOOL

8.What are the solutions for the quadratic equation x2 + 6x = 16?
a. x = -2, -8
b. X = -2,8
C. X = 2, -8
d. x = 2,8

Answers

Answer 1
Answer:

Answer:

2 and -8

Step-by-step explanation:

Related Questions

Question is in the pictureSASSSASSSnot congruent
The angle of elevation from a car to the top of an apartment building is 48 degrees. If the angle from another car that is 22 feet directly in front of the first car is 64 degrees. How tall is the building? I know it involves trig, but after an hour of thought i give up on guessing.
You buy a 24 pack of 591mL bottles of water. How many Liters is that?
Round the following numbers tothe nearest five million. 22 500 000 27 500 000 67 490 000
Linda practiced her free throw shots and missed 26% of her shots. If sheshot the ball 50 times, how many times did she miss? *

Which expression is equivalent to (7x - 5 ) - ( 3x - 2)?

Answers

(7x - 5 ) - ( 3x - 2) 

7x-5-3x+2 

(7x-3x)-5+2          \ Gather \ like \ terms  

4x-5+2 

4x-3
Distribute the minus sign into the second parenthesis to get 7x-5-3x+2.
Then combine like terms to get 4x-3

What is the expression in factored form?3x^2 + 18x + 24

a. 3(x+2)(x+4)
b. 3(x-2)(x+4)
c. 3(x-2)(x-4)
d. 3(x+2)(x-4)

Answers

Answer:

Choice a is correct answer.

Step-by-step explanation:

Given expression is :

3x²+18x+24

We have to represent above expression in factored form.

As we have noticed that the expression contains the multiples of 3.

taking 3 as common from given expression,we get

3(x²+6x+8)

Now, spit the middle term of above expression so that the product of two terms should be 8 and their sum be 6.

3(x²+4x+2x+8)

Making two groups and taking two terms as common,we get

3(x(x+4)+2(x+4))

Taking (x+4) as common,we get

3(x+4)(x+2) which is the factored form of 3x²+18x+24.

Answer:

\boxed{a.\:\:3(x+2)(x+4)}

Step-by-step explanation:

The given expression is

3x^2+18x+24


We factor 3 to obtain;

3(x^2+6x+8)


We split the middle term to obtain;

3(x^2+4x+2x+8)


=3[x(x+4)+2(x+4)]

We factor further to get;

=3(x+4)(x+2)

Use mathematical induction to prove the statement is true for all positive integers n. The integer n3 + 2n is divisible by 3 for every positive integer n.

Answers

1. prove it is true for n=1
2. assume n=k
3. prove that n=k+1 is true as well


so

1.
(n^3+2n)/(3)=
(1^3+2(1))/(3)=
(1+2)/(3)=1
we got a whole number, true


2.
(k^3+2k)/(3)
if everything clears, then it is divisble


3.
((k+1)^3+2(k+1))/(3) =
((k+1)^3+2(k+1))/(3) =
(k^3+3k^2+3k+1+2k+2))/(3)=
(k^3+3k^2+5k+3))/(3)
we know that if z is divisble by 3, then z+3 is divisble b 3
also, 3k/3=a whole number when k= a whole number

(k^3+2k)/(3) + (3k^2+3k+3)/(3)=
(k^3+2k)/(3) + k^2+k+1=
since the k²+k+1 part cleared, it is divisble by 3

we found that it simplified back to (k^3+2k)/(3)

done

Answer:

We have to use the mathematical induction to  prove the statement is true for all positive integers n.

The integer n^3+2n is divisible by 3 for every positive integer n.

  • for n=1

n^3+2n=1+2=3 is divisible by 3.

Hence, the statement holds true for n=1.

  • Let us assume that the statement holds true for n=k.

i.e. k^3+2k is divisible by 3.---------(2)

  • Now we will prove that the statement is true for n=k+1.

i.e. (k+1)^3+2(k+1) is divisible by 3.

We know that:

(k+1)^3=k^3+1+3k^2+3k

and 2(k+1)=2k+2

Hence,

(k+1)^3+2(k+1)=k^3+1+3k^2+3k+2k+2\n\n(k+1)^3+2(k+1)=(k^3+2k)+3k^2+3k+3=(k^3+2k)+3(k^2+k+1)

As we know that:

(k^3+2k) was divisible as by using the second statement.

Also:

3(k^2+k+1) is divisible by 3.

Hence, the addition:

(k^3+2k)+3(k^2+k+1) is divisible by 3.

Hence, the statement holds true for n=k+1.

Hence by the mathematical induction it is proved that:

The integer n^3+2n is divisible by 3 for every positive integer n.

amanda drove to the mountains last weekend. there was heavy traffic on the way there, and the trip took 7 hours. when amanda drove home, there was no traffic and the trip only took 5 hours. if her average rate was 18 miles per hour faster on the trip home, how far away does amanda live from the mountains?

Answers

The distance between the mountains and her residence is 315 miles.

What is speed?

Speed is defined as the ratio of the time distance traveled by the body to the time taken by the body to cover the distance. Speed is the ratio of the distance traveled by time. The unit of speed in miles per hour.

Given that Amanda drove to the mountains last weekend. there was heavy traffic on the way there, and the trip took 7 hours. when Amanda drove home, there was no traffic and the trip only took 5 hours. if her average rate was 18 miles per hour faster on the trip home.

The distance will be calculated  as,

Distance = S x 7

The other distance is,

Distance = 5 ( S + 18 )

7S = 5S + 90

S = 45 miles

Distance = 45 x 7

Distance = 315 miles

To know more about Speed follow

brainly.com/question/6504879

#SPJ2
90 miles away since you multiply 18 times 5 would equal 90 miles away.

What's the answer to this math problem 3x +2/5=7

Answers

We have:

3x+2/5=7

3x+2/5=35/5

3x=33/5

x=11/5

Thus, the answer is that x=11/5.

What is 157 correct to the nearest 10

Answers

I think 160 is the answer
Other Questions
Ramon grew45 inches each year for the past 2 years. How many inches total has Ramon grownin the past 2 years?
Carmen rolls a cube with sides labeled A, B, C, D, E, and F.What is the number of possible outcomes?
What is the arc measure of ABC in degrees?with(20y - 11)(4y +6) AP(7y - 7)
Find the average monthly income for the following: Pay Period: Biweekly Net Pay: $1,425.00$4,350.17 $3,087.50 $2,850.00 $1,425.00