Factorise 3(x+2)^2-10(x+2)+3

Answers

Answer 1
Answer: The answer is (x - 1)(3x + 5)


Let's substitute (x + 2) with a:
3(x + 2)² - 10(x + 2) + 3 = 3a² - 10a + 3 =
                                      = 3a² - 9a - a + 3 = 
                                      = 3a * a - 3a *3 - (a - 3) = 
                                      = 3a(a - 3) - (a - 3) =
                                      = (a - 3)(3a - 1)

Now, substitute a with x + 2:
(a - 3)(3a - 1) = (x + 2 - 3)(3(x + 2) - 1) = 
                     = (x - 1)(3x + 6 - 1) =
                     = (x - 1)(3x + 5)

Related Questions

Few math questions TIME IS RUNNING OUT!! PLEASE HELP!!!!PLEASE LOOK AT ALL THE PHOTOS TO SEE ALL THE QUESTIONS.
The standard baseball measures 2 11/16" in diameter. What is its volume (to the nearest hundredth)?
after elsa baked muffins, her brother ate 4 of them. he ate 2 5 of all of the muffins. how many muffins did elsa bake?
What is the correct classification of 7x2 + 9x + 4? Select one of the options below as your answer:A. monomial B. binomial C. trinomial
What is the product of 476 and 32? *

The distance in miles that you can see to the horizon is a radical function that depends on the height (in feet) that you are above the ground. If you can see a distance of 5 miles, how many feet are you from the ground?

Answers

Answer:

16.67 feet from ground

Step-by-step explanation:

Given

d= √( 1.5h) --- missing from the question

d \to distance

h \to height

Required

Determine the height when distance = 5 miles

This implies that:

d = 5

So, we have:

d= √( 1.5h)

5 = \sqrt{1.5h

Take square roots of both sides

5^2 = 1.5h

25 = 1.5h

Divide both sides by 1.5

(25)/(1.5) = h

h = (25)/(1.5)

h = 16.67

The prism can be cut into three pyramids with the shaded faces congruent. If the shaded faces are considered as bases, then all three pyramids have the same height, h. Therefore the pyramids have equal volumes. What is the volume of each pyramid?A) ⅓Bt
B) ⅓Ah
C) ⅓Ar
D) ⅓At​

Answers

The correct answer is letter C

Need some help doing this question, thanks!

Answers

Answer:

y = -5x + 6

Step-by-step explanation:

y = 1/5 x + 4/5

so that two lines are perpendicular, its slope must be opposite and reciprocal

y = m x + b

m: slope           perpendicular  -1/m

if our formula is     y = 1/5 x + 4/5

m = 1/5

so the slope of our new formula will be

m' = -5/1

m' = -5

now if you tell us that you have to go through a certain point  (1/1)

we just have to replace the values ​​in the following formula and solve

y - y1 = m ( x - x1)

y - 1 = -5 ( x - 1)

y = -5x + 5 + 1

y = -5x + 6

Tania is going to make soup. She combines 225 grams of water with 300 grams of condensed soup. Tania then adds 50 grams of celery and 10 grams of carrots. How much soup does Tania have before she warms it on the stove?

Answers

Answer:

375 grams of soup sir I hope this helps

Final answer:

Tania has a total of 585 grams of soup before she warms it on the stove. This is found by adding the weight of all the ingredients she used: water (225g), condensed soup (300g), celery(50g), and carrots(10g).

Explanation:

The subject of this question is about adding quantities, which falls under Mathematics. Tania combines multiple ingredients to make soup. She uses 225 grams of water, 300 grams of condensed soup, 50 grams of celery and 10 grams of carrots. To find out the total amount of soup she has before warming it up, you simply need to add up all these amounts. So, 225g (water) + 300g (condensed soup) + 50g (celery) + 10g (carrots) = 585 grams. Therefore, Tania has 585 grams of soup before she warms it up on the stove.

Learn more about Adding Quantities here:

brainly.com/question/14903278

#SPJ2

Which statements are true regarding the area of circle D? Select two options. The area of the circle depends on the square of the radius.
The area of circle D is 36Pi centimeters squared.
The area of circle D is 324Pi centimeters squared
The area of the circle depends on the square of pi.
The area of the circle depends on the central angle.

Answers

Answer:

The ratio of the measure of central angle PQR to the measure of the entire circle is 1/8

The area of the shaded sector depends on the length of the radius.

The area of the shaded sector depends on the area of the circle.

Step-by-step explanation:

The rational and the irrational numbers together are called whole numbers. true or false

Answers

the answer is false

Step-by-step explanation:

natural numbers and zero are whole numbers

The answer is false