All categories

3 years ago

Solve for x by factorising.3x²+4x= 4

Mathematics

1 answer:

Ivan3 years ago

3 0

Answer:

Step-by-step explanation:

3x^2+4x-4=0 (we move 4 to the other side to factor)

(3x-2)(x+2)

^think of 2 numbers that when you multiply it will be -4 and when you multiply one of it to 3x and add to the other it will be 4x.

Recheck:

-2(2)= -4 (correct)

-2x+6x=4x (correct)

You might be interested in

Lines 3x-2y+7=0 and 6x+ay-18=0 is perpendicular. What is the value of a?

BlackZzzverrR [31]

Answer:

$\boxed{\sf a = 9 }$

Step-by-step explanation:

Two lines are given to us which are perpendicular to each other and we need to find out the value of a . The given equations are ,

$\sf\longrightarrow 3x - 2y +7=0$

$\sf\longrightarrow 6x +ay -18 = 0$

Step 1 : Convert the equations in slope intercept form of the line .

$\sf\longrightarrow y = \dfrac{3x}{2} +\dfrac{ 7 }{2}$

and ,

$\sf\longrightarrow y = -\dfrac{6x }{a}+\dfrac{18}{a}$

Step 2: Find the slope of the lines :-

Now we know that the product of slope of two perpendicular lines is -1. Therefore , from Slope Intercept Form of the line we can say that the slope of first line is ,

$\sf\longrightarrow Slope_1 = \dfrac{3}{2}$

And the slope of the second line is ,

$\sf\longrightarrow Slope_2 =\dfrac{-6}{a}$

Step 3: Multiply the slopes :-

$\sf\longrightarrow \dfrac{3}{2}\times \dfrac{-6}{a}= -1$

Multiply ,

$\sf\longrightarrow \dfrac{-9}{a}= -1$

Multiply both sides by a ,

$\sf\longrightarrow (-1)a = -9$

Divide both sides by -1 ,

$\sf\longrightarrow \boxed{\blue{\sf a = 9 }}$

Hence the value of a is 9 .

8 0

3 years ago

If f(x) = x2 - 1 and g(x) = 2x - 3, what is the domain of (fog)(x)?

ladessa [460]

Answer:

domain will be ( -∞, ∞)

Step-by-step explanation:

The given functions are f(x) = x² - 1 and g(x) = 2x - 3

We have to find domain of (fog)(x)

We will find the function (fg)(x) first.

(fog)(x) = f[g(x)]

= (2x - 3)²

= 4x² + 9 - 12x - 1

= 4x² - 12x + 8

= 4 (x² - 3x + 2)

The given function is defined for all values of x.

Therefore, domain will be ( -∞, ∞)

brainly.com/question/2458431

4 0

2 years ago

Mario and Luigi want to purchase some extra controllers for their friends. Each controller costs $29.99. Use an algebraic expres

love history [14]

Answer:

C = 299x + 59.99y + 29.99z

Step-by-step explanation:

An algebraic expression is an expression in which it involves the numbers like 1,2,3 also it includes the operations such as additions, subtraction, multiplication, etc

Fo mentioning an algebraic expression, we do have following components

x = number of consoles purchased

y = number of games purchased

z = number of controllers purchased

C = total cost

Also, the total cost would be equivalent to the sum of the price and then it multiplied with the numbers as stated above

So, the algebraic expression is

C = 299x + 59.99y + 29.99z

3 0

3 years ago

9 + 10? I'm 5 years old idk what I'm using buh fu

just olya [345]

The answer is 19. Hopefully this helps

5 0

4 years ago

Read 2 more answers

Jasmine is practicing free throws. she made 17 out of 20. of the shots did she make

creativ13 [48]

Not the whole question made it through can you send me the question

3 0

3 years ago

Read 2 more answers

Solve for x by factorising.3x²+4x= 4​

Solve for x by factorising.3x²+4x= 4