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3 years ago

Factor 4x2 – 22x + 30

Mathematics

2 answers:

Aloiza [94]3 years ago

7 0

Answer:

Factor by grouping. For a polynomial of the form ax2+bx+c a x 2 + b x + c , rewrite the middle term as a sum of two terms whose product is a⋅c=2⋅15=30 a ⋅ c = 2 ⋅ 15 = 30 and whose sum is b=−11 b = - 11 .

Step-by-step explanation:

Zigmanuir [339]3 years ago

5 0

Answer:

2 (2x – 5) (x – 3)

Step-by-step explanation:

4x² – 22x + 30

First, factor out a 2:

2 (2x² – 11x + 15)

Use AC method to factor.

2 × 15 = 30

Factors of 30 that add up to -11 are -5 and -6.

Divide by a and reduce: -5/2, -6/2 = -3/1

The factors are 2x – 5 and x – 3.

2 (2x – 5) (x – 3)

You might be interested in

{-210, -156, -366,-471, -108,-627, -579}

Andru [333]

Option D I and IV only is correct option

Step-by-step explanation:

We need to identify that the numbers {-210, -156, -366,-471, -108,-627, -579} belong to which of the following set of numbers.

I. Rational Numbers

II. Natural Numbers

III. Whole Numbers

IV. Integers

We will consider each option

Rational numbers: numbers that can be written by dividing two integers. They can be positive or negative.

all the numbers given can be divided by 1 to make them fractions. So all numbers are rational numbers.

Natural numbers: numbers that are positive integers excluding 0 i.e 1,2,3...

So, the given numbers are not natural numbers

Whole numbers: all natural numbers including 0. These are positive numbers. So, the given numbers are not whole numbers

Integers: it is a whole number (not fraction) that can be positive,negative or zero. So, the numbers given are integers.

So, Option D I and IV only is correct option

Keywords: Set of numbers

Learn more about set of numbers at:

#learnwithBrainly

6 0

3 years ago

A container contains water at temperature 80 degree celcius. After every 10 minutes, the change in temperature is - 4 degree cel

Nuetrik [128]

2 hours and 30 minutes

8 0

4 years ago

How many miles did a plane travel if it flew 455 mph in three hours

pashok25 [27]

Answer:

1,365 miles

Step-by-step explanation:

455 mph times 3 hours equals to 1,365.

8 0

3 years ago

A right cylindrical tank with a total volume of 5,000 cubic units has an interior diameter of 20 units. the volume gauge indicat

vovikov84 [41]

Total volume of the tank is 5000 cubic units
Volume of liquid=60%*5000=3000 cubic units
the height of the fluid will be found as follows
V=πr²h
where:
r=20/2=10 units
hence:plugging in the values and solving for h we get:
3000=π×(10²)×h
thus
h=3000/(100π)
h=9.5292966
h=9.5293 units

5 0

4 years ago

Read 2 more answers

Does anyone know how to do this??

Fynjy0 [20]

Answer:

y > 11/2

Step-by-step explanation:

This is solved the same way a 3-step equation is solved.

Step 1: subtract the smaller variable term from both sides.

4y -2y +3 > 2y -2y +14

2y +3 > 14

Step 2: subtract the constant with the variable term.

2y +3 -3 > 14 -3

2y > 11

Step 3: divide by the coefficient of the variable.

2y/2 > 11/2

y > 11/2

_____

Additional comment

By choosing to subtract the smaller variable term in the first step (regardless of which side of the inequality it is on), we ensure that the remaining variable coefficient is positive. That means we can do step 3 without worrying about changing the direction of the inequality symbol, because we're dividing by a positive number.

7 0

3 years ago

Read 2 more answers