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VMariaS [17]
3 years ago
13

3.1 Factorise completely3.1.2 3x2 - 2x - 8​

Mathematics
2 answers:
Ugo [173]3 years ago
7 0

Answer:

3x² – 2x – 8

=> 3x² – 6x + 4x – 8

=> 3x( x – 2 ) + 4( x – 2 )

=> ( 3x + 4 ) ( x – 2 )

Therefore,

Either, 3x + 4 = 0

3x = - 4

x = - 4/3 (Ans)

And,

x – 2 = 0

x = 2 (Ans)

Svet_ta [14]3 years ago
4 0

Answer:

(x - 2)(3x + 4)

Step-by-step explanation:

Given

3x² - 2x - 8

Consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term.

product = 3 × - 8 = - 24 and sum = - 2

The factors are - 6 and + 4

Use these factors to split the x- term

3x² - 6x + 4x - 8 ( factor the first/second and third/fourth terms )

= 3x(x - 2) + 4(x - 2) ← factor out (x - 2) from each term

= (x - 2)(3x + 4)

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Solve the following equation by factoring.<br><br> 5x103+32x73−64x43=0
Karo-lina-s [1.5K]

Answer:

its false

Step-by-step explanation:

6 0
3 years ago
Solve triangle ABC. (If an answer does not exist, enter DNE. Round your answers to one decimal place.) a = 3.0, b = 4.0, C = 58°
KATRIN_1 [288]

Answer

A = 46.3°

B = 75.7°

c = 3.5

Explanation

We will be using both Cosine and Sine rule to solve this.

For Cosine rule,

If a triangle ABC has angles A, B and C at the points of the named vertices of the tringles with the sides facing each of these angles tagged a, b and c respectively, the Cosine rule is given as

c² = a² + b² - 2ab Cos C

a = 3.0

b = 4.0

C = 58°

c² = 3² + 4² - 2(3)(4)(Cos 58°)

c² = 9 + 16 - (24)(0.5299)

c² = 25 - 12.72 = 12.28

c = √12.28 = 3.50

To find the other angles, we will now use Sine Rule

If a triangle ABC has angles A, B and C at the points of the named vertices of the tringles with the sides facing each of these angles tagged a, b and c respectively, the sine rule is given as

\frac{\text{ Sin A}}{a}=\frac{\text{ Sin B}}{b}=\frac{\text{ Sin C}}{c}

So, we can use the latter parts to solve this

\frac{\text{ Sin B}}{b}=\frac{\text{ Sin C}}{c}

B = ?

b = 4.0

C = 58°

c = 3.5

\begin{gathered} \frac{\text{ Sin B}}{4}=\frac{\text{ Sin 58}\degree}{3.5} \\ \text{ Sin B = }\frac{4\times\text{ Sin 58}\degree}{3.5}=0.9692 \\ B=Sin^{-1}(0.9692)=75.7\degree \end{gathered}

We can then solve for Angle A

The sum of angles in a triangle is 180°

A + B + C = 180°

A + 75.7° + 58° = 180°

A = 180° - 133.7° = 46.3°

Hope this Helps!!!

7 0
2 years ago
HELPP is please it’s math
ryzh [129]

Answer:  

If the two side planks are equal lengths then the answer is 26 1/3.

3 0
2 years ago
Which of the sets of ordered pairs represents a function? (5 points) A = {(1, −5), (8, −5), (8, 7), (2, 9)} B = {(7, −4), (7, −2
Brilliant_brown [7]
<h2>Answer:None</h2>

Step-by-step explanation:

For any function,any point in the domain has a unique image in the codomain.

For set A:

f(8)=-5 from the point (8,-5)

f(8)=7 from the point (8,7)

For a same point 8,there are two images.

So,A does not represent a function.

For set B:

f(7)=-4 from the point (7,-4)

f(7)=-2 from the point (7,-2)

For a same point 7,there are two images.

So,B does not represent a function.

5 0
3 years ago
The cupcake factory sells cupcakes in three different types of packages. The first type is a 3-pack. The second type is a 6-pack
bija089 [108]

Answer:

3-pack= 135 cupcakes

6-pack= 270 cupcakes

9-pack= 405 cupcakes

Step-by-step explanation:

Let's say that 3-pack = a, 6-pack =b and 9-pack = c

The company’s leaders want to divide the cupcakes so that 3-pack, 6-pack and 9-pack packages produced are the same. This translate to an equation of:

a=b=c

The factory has 810 cupcakes in total. The equation will be:

a*3 + b*6 + c *9= 810

3a + 6b + 9c = 810

If we substitute the 1st equation into the second(we can  put b=a and c=a), the equation will become

3a + 6b + 9c = 810

3a + 6(a) + 9(a) = 810

18a= 810

a=45

Using the first equation, we know that we have 45 packages of each kind.

If there are 45 packages of 3-pack, the number of cupcakes go into 3-package will be: 3*45= 135 cupcakes

If there are 45 packages of 6-pack, the number of cupcakes go into 6-package will be: 6*45= 270 cupcakes

If there are 45 packages of 9-pack, the number of cupcakes go into 9-package will be: 9*45= 405 cupcakes

4 0
4 years ago
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