MATHEMATICS HIGH SCHOOL

How many solutions does the equation 4x + 8 = −2 − 2 + 5x have?Two

One

None

Infinitely many

Answers

Answer 1
Answer: x=12  only has 1 solution
Answer 2
Answer:

Answer:

one

Step-by-step explanation:

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a train traveled at an average speed of 45 miles per hour for 2 hours and 30 miles per hour for 3 hours. what is the total number of miles that the train traveled

Answers

distance=rate times time
rate=xmiles per hour
time=y hours

total distance=distance1+distance2
distance1=45mph times 2=90mi
distance2=30mph times 3=90mi
total distance=90mi+90mi=180mi

total is 180mi
(45×2)+(30×3)= 180 miles

Evaluate ÷x+2 for x=49
12
2
9
15 ​

Answers

Answer:12

Step-by-step explanation:but you cant divide by nothing

12 because you can’t divide anything

Complete the following item based on the given information.The volume of a box(V) varies directly with its length(l). If one of the boxes has a volume of 325 cubic inches and a length of 13 inches, what is the constant of proportionality for the group of boxes?
k = ________

Answers

Answer:

The constant of proportionality for the group of boxes is 25.

Step-by-step explanation:

Given : The volume of a box(V) varies directly with its length(l). If one of the boxes has a volume of 325 cubic inches and a length of 13 inches.

To find : What is the constant of proportionality for the group of boxes?

Solution :

The volume of a box(V) varies directly with its length(l).

Using k for the constant of proportionality.

We can express the relationship between V and l

If V varies directly with l.  

V = kl

According to question,

If one of the boxes has a volume of 325 cubic inches and a length of 13 inches, then  

325=13k\n\n\Rightarrow\ k=(325)/(13)\n\n\Rightarrow\ k=25

Therefore, The constant of proportionality for the group of boxes is 25.
k = 325/13
..............................................

Factor the expression: 2n³ + 22n² + 60n

Answers

Answer:

2n(n + 5)(n + 6)

Step-by-step explanation:

given the expression

2n³ + 22n² + 60n ← factor out the common factor of 2n from each term

= 2n(n² + 11n + 30) ← factorise the quadratic

consider the factors of the constant term (+ 30) which sum to give the coefficient of the n- term (+ 11)

the factors are + 5 and + 6 , since

+ 5 × + 6 = + 30 and 5 + 6 = + 11

use these factors to split the n- term

n² + 5n + 6n + 30 ( factor the first/second and third/fourth terms )

= n(n + 5) + 6(n + 5) ← factor out (n + 5) from each term

= (n + 5)(n + 6)

Then

2n³ + 22n² + 60n

= 2n(n + 5)(n + 6) ← in factored form

If 5 + 2 root 3 / 7 + 4 root 3 = a - b root 3, find a and b.​

Answers

Answer:

lhs = (5+2√3)/(7+4√3)

= [(5+2√3)(7-4√3)]/[(7-4√3)(7+4√3)]

=[35-20√3+14√3-24]/[7²-(4√3)²]

=[11-6√3]/[49-48]

=11-6√3

therefore

11-6√3 = a+b√3

compare both sides

a= 11, b= -6

Step-by-step explanation:

Hope this answer helps you :)

Have a great day

Mark brainliest

Answer:

a = 11, b = 6

Step-by-step explanation:

Given

(5+2√(3) )/(7+4√(3) )

Rationalise the denominator by multiplying numerator/ denominator by the conjugate of the denominator.

The conjugate of 7 + 4√(3) is 7 - 4√(3)

= ((5+2√(3))(7-4√(3)) )/((7+4√(3))(7-4√(3) ) ← expand numerator/ denominator using FOIL

= (35-20√(3)+14√(3)-24 )/(49-28√(3)+28√(3)-48 )

= (11-6√(3) )/(1)

= 11 - 6√(3)

with a = 11 and b = 6

Answer what you can pleases

Answers

I just wrote the answers on the picture.
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