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3 years ago

Factor the following expression completely. 6x^2 — 3x-8x+4

Mathematics

2 answers:

Rzqust [24]3 years ago

8 0

Answer:

( 3x - 4 ) ( 2x - 1 )

Step-by-step explanation:

➛ 6 x ² - 3x - 8 x + 4

➛ 3 x ( 2 x - 1 ) - 4 ( 2 x - 1 )

➛ ( 3 x - 4 ) ( 2 x - 1 )

sladkih [1.3K]3 years ago

5 0

6x² — 3x-8x+4

3x(2x-2)-4(2x-1)

(3x-4)(2x-1)

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If y varies directly as x and y=4 when x=-2 find y when x=30

katovenus [111]

Answer:

Step-by-step explanation:

y=kx

4=k(-2)

k=-2

y=-2x

when x=30

y=-2*30=-60

5 0

3 years ago

I have no idea what im doing someone help pls! due soon

Irina18 [472]

4x2-28x+49

Final result :

(2x - 7)2

Step by step solution :

Step 1 :

Equation at the end of step 1 :

(22x2 - 28x) + 49

Step 2 :

Trying to factor by splitting the middle term

2.1 Factoring 4x2-28x+49

The first term is, 4x2 its coefficient is 4 .

The middle term is, -28x its coefficient is -28 .

The last term, "the constant", is +49

Step-1 : Multiply the coefficient of the first term by the constant 4 • 49 = 196

Step-2 : Find two factors of 196 whose sum equals the coefficient of the middle term, which is -28 .

-196 + -1 = -197

-98 + -2 = -100

-49 + -4 = -53

-28 + -7 = -35

-14 + -14 = -28 That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -14 and -14

4x2 - 14x - 14x - 49

Step-4 : Add up the first 2 terms, pulling out like factors :

2x • (2x-7)

Add up the last 2 terms, pulling out common factors :

7 • (2x-7)

Step-5 : Add up the four terms of step 4 :

(2x-7) • (2x-7)

Which is the desired factorization

Multiplying Exponential Expressions :

2.2 Multiply (2x-7) by (2x-7)

The rule says : To multiply exponential expressions which have the same base, add up their exponents.

In our case, the common base is (2x-7) and the exponents are :

1 , as (2x-7) is the same number as (2x-7)1

and 1 , as (2x-7) is the same number as (2x-7)1

The product is therefore, (2x-7)(1+1) = (2x-7)2

Final result :

(2x - 7)2

7 0

3 years ago

Read 2 more answers

You roll a 6-sided die.

Lerok [7]

Answer:

$\huge\boxed{\text{P(not factor of 35) = } \frac{2}{3}}$

Step-by-step explanation:

We can use basic probability to find the probability that this roll is not a factor of 35.

First off, we know that with a six sided die there are 6 possible things we can roll.

1, 2, 3, 4, 5, or 6

Now, what are the factors of 35? The factors of 35 will be any whole number that can be multiplied by another whole number to get 35.

We know $1 \cdot 35 = 35$ , so two factors are 1 and 35.
We know $5 \cdot 7 = 35$ , so two factors are 5 and 7.

Therefore, the factors of 35 are 1, 5, 7, 35.

Both 5 and 7 are inside the range of 1-6. So the probability of rolling a side that's a factor of 35 will be $\frac{2}{6} = \frac{1}{3}$ since there are two factors and 6 possible options.

This means, logically, there is a $\frac{4}{6} = \frac{2}{3}$ chance of not rolling a factor of 35.

Hope this helped!

5 0

3 years ago

PPPPLLLLLLSSSS I NEEED HELP

Nuetrik [128]

Answer:

x=63

Step-by-step explanation:

The two interior angles add up the the exterior angle, so 51+x+12=2x. From there, solve to get x=63. Hope this helped!

7 0

2 years ago

PLEASE HELP ME QUICKKK, FIRST CORRECT PERSON GETS BRAINLIEST

Marta_Voda [28]

C.) is the best answer others are less then 50%.

C.) $35 is $15 more then 20 this is over 50%

Please like if helpful!

6 0

2 years ago

Read 2 more answers

Factor the following expression completely. 6x^2 — 3x-8x+4​

Factor the following expression completely. 6x^2 — 3x-8x+4