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frez [133]
2 years ago
8

Factor the expression 3x^(2)+10x+8

Mathematics
1 answer:
marin [14]2 years ago
8 0

Hello,

If we want to factor the expression, we have to solve

3x² + 10x + 8 = 0

a = 3 ; b = 10 ; c = 8

∆ = b² - 4ac = 10² - 4 × 3 × 8 = 4 > 0

x1 = (-b - √∆)/2a = (-10 - 2)/6 = -12/6 = -2

x2 = (-b + √∆)/2a = (-10 + 2)/6 = -8/6 = -4/3

Factor :

a (x - x1)(x - x2)

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

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

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The answer is because of the distance between the two please make me the Brainliest!! :)))
8 1
3 years ago
What two partial products would you add to find 513 x 46
Afina-wow [57]
First, let me do the Mathematical part of that, and then I shall explain the theory behind it.

Mathematical part:
We are going to multiply 513 with 46. So the two partial products that we are going to choose are 40 and 6.

Multiply 513 with 6 first.

    513
    x46
--------------------------
      18 (as 6*3 = 18)
      60 (as 6*10 = 60; In 513, the digit at tenths place is 1, so 1*10=10)
  3000 (as 6*500 = 3000; In 513, 5 is at hundredth place, so 5*100=500)
    120 (as 40*3 = 120; since 4 is at the tenth place, so 4*10=40)
    400 (as 40*10 = 400)
20000 (as 40*500 = 20000)
--------------------------
23598 (Add all of them)


Theory:
As you can see above that we have chosen the two partial products individually which are 6 and 40. Since 4 in 46 is in tenth place, we have to consider it 40 (since 4*10 = 40). One by one, we first multiply 6 with 513. Then we move to the tenth place, and multiply 513 with 40. At the end, we have added all the results we found after multiplication.

Check: If we check the multiplication result by using the calculator, we would get the same result (23598).

Another Method (instant):
513 * (40+6) = (513*40) + (513*6) = 23598.
3 0
3 years ago
Read 2 more answers
Solve for x please help me
Mademuasel [1]

x = 51.98

Step-by-step explanation:

tan 68 = opp/hyp = x/21

or

x = 21×tan68°

= 21(2.475)

= 51.98

3 0
2 years ago
Use the distributive property to demonstrate that the product of 10 and -1/5 is a negative number. Make sure to include all step
rodikova [14]

-1(10 * (-1/5))

(-10)(1/5)

-2

4 0
3 years ago
Whih of the following is equivalent to (81m^6)^1/2
Setler [38]
Can you list the answer choices?

\sqrt{81m^6}   would be equivalent
4 0
3 years ago
Read 2 more answers
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