MATHEMATICS MIDDLE SCHOOL

Recall that the quadratic factors as:(x - 3)(x - 5) < 0
Therefore, the intervals that must be tested are
x<3,3 5.
The solution set for the quadratic inequality is:
Recall that the quadratic factors as: (x - 3)(x - - 1

Answers

Answer 1
Answer:

Answer:

Option 4:  (3,5)

Step-by-step explanation:

(x - 3)(x - 5) < 0

Therefore, the intervals that must be tested are x < 3 , 3<x<5  and  x>5

Test of the interval  x<3⇒ Let x = 0 ⇒ (-3)(-5) = 15 > 0

Test of the interval  3<x<5 ⇒ Let x = 4  ⇒ (4-3)(4-5) = (1)(-1) = -1 < 0

Test of the interval  x>5⇒ Let x = 6 ⇒ (6-3)(6-5) = (3)(1) = 3 > 0

So, the solution set for the quadratic inequality is the interval 3<x<5

Or x ∈ (3,5)

See the attached figure.

The answer is option 4
Answer 2
Answer:

Answer:

1. (3,5)   2. b and c

Step-by-step explanation:

Just took it and got it correct

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How to simplify (-0.75x+6)-(2.5x-1.9)

Which values of p and q would make the value of the following expression equal to 58i? (3 – 7i)(p + qi)i

Answers

we are given

(3-7i)(p+qi)i=58i

firstly, we will simplify left side

and then we can compare it with right side

so, we can distribute

(3p+3qi-7pi-7qi^2)i=58i

(3p+3qi-7pi+7q)i=58i

we have i on both sides

so,i will get cancelled

(3p+3qi-7pi+7q)=58

(3p+7q+(3q-7p)i)=58

we can also write as

(3p+7q)+(3q-7p)i=58+0*i

now, we can compare

and we get

3p+7q=58

3q-7p=0

now, we can solve for p and q

we get

q=7,\:p=3.............Answer

Answer:

For short the answer is A.      p = 3 , q = 7

What is greater 8/9 or 11/12

Answers

11/12 because 11 divided by 12 is 0.9166667 and 8 divided by 9 is 0.8889

You receive 9 text messages in 12 minutes. What is the rate of text messages per hour?

Answers

Answer:

45(messages)/(hour)

Step-by-step explanation:

we know that

To find the rate  of text messages per hour, first divide the total messages by the total time in minutes

so

(9)/(12)=0.75(messages)/(minute)

Convert to messages per hour

Remember that 1\ hour=60\ minutes

Multiply by 60

0.75*60=45(messages)/(hour)
9 text messages in 12 min ⇒ how many text messages in 60 min 
9×60÷12 = 45 text messages :))

Please do 13 ive been trying for 3 hour pls solve x

Answers

Answer:

x = 3

Step-by-step explanation:

We should know that:

A straight segment joining the middle of two sides in a triangle is parallel to the third side and equal to half of it.

So,

3x + 1 = (1/2) * 20 = 10

3x = 10 - 1 = 9

x = 9/3 = 3

So, the value of x = 3

Point A is at (3, 2.5) and point B is at (3, 1.4) on a coordinate grid. The distance between the two points is ____. Input numbers and decimal point only, such as 5.8

Answers

Answer: 1.1 units

Step-by-step explanation:

We know that the distance between any two points (a,b) and (c,d) is given by :-

D=√((d-b)^2+(c-a)^2)

Then , the distance between the points A (3, 2.5) and B (3, 1.4) will be :-

D=√((1.4-2.5)^2+(3-3)^2)\n\n\Rightarrrow D= \sqrt{{(-1.1)}^2+0^2}\n\n\Rightarrow D =√(1.1^2) \n\n\Rightarrow D =1.1

Hence, the distance between the two points is  1.1 units.
The Answer Is , 2.5-1.4 = 1.1

Leigh has a piece of rope thst is 6 2/3 feet long. how do you write 6 2/3 as a fraction greater than 1

Answers

20/3 - Take the 6 2/3, multiply the 6 and the 3 (6 x 3 = 18), then add the 2 (18 + 2 = 20). Put that number over the original 3 and you've got yourself a mixed number. i hope it help =)
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