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nexus9112 [7]
3 years ago
7

Multiply the binomials (3x - 5) and (4x + 6).

Mathematics
2 answers:
Reil [10]3 years ago
7 0

Answer:

12x² - 2x - 30

Step-by-step explanation:

When multiplying binomials, remember to follow the FOIL method:

FOIL =

First

Outside

Inside

Last

Follow FOIL: (3x - 5)(4x + 6)

(3x)(4x) = 12x²

(3x)(6) = 18x

(-5)(4x) = -20x

(-5)(6) = -30

Combine like terms, simplify:

12x² + 18x - 20x - 30

12x² + (18x - 20x) - 30

12x² - 2x - 30

12x² - 2x - 30 is your answer.

~

gregori [183]3 years ago
6 0

Answer:

12x²-2x-30=2(6x²-x-15)

Step-by-step explanation:

(3x-5)(4x+6)=12x²-20x+18x-30=

12x²-2x-30=2(6x²-x-15)

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Solve the following systems of equations 2a+4b+c=5 ; a-4b=-6 ; 2b+c=7.
SOVA2 [1]

Answer:

a = -2

b = 1

c = 5

Step-by-step explanation:

Given:

2a + 4b + c = 5 ............(1)

a - 4b = - 6

or

a = 4b - 6 .............(2)

2b + c = 7

or

c = 7 - 2b   ...........(3)

substituting 2 and 3 in  1, we get

2(4b - 6 ) + 4b + (7 - 2b) = 5

or

8b - 12 + 4b + 7 - 2b = 5

or

10b - 5 = 5

or

b = 1

substituting b in 2, we get

a = 4(1) - 6

or

a = -2

substituting b in 3, we get

c = 7 - 2(1)

or

c = 5

thus,

a = -2

b = 1

c = 5

8 0
3 years ago
Find the cosine of ∠T.
Ostrovityanka [42]

ANSWER: ∠T = 32.4°

Remember the formula for the basic trig functions: SOH CAH TOA

Since you want to find cosine for <T, you need the adjacent side length as well as the hypotenuse's length which can be found using the Pythagoras's Theorem  a^2+b^2=c^2 with <em>a </em> and <em>b</em> being the side lengths and <em>c</em> being the hypotenuse.

Using the theorem, we get c=37

Now use the cosine formula to get <T = 12/37  to get the final answer.

4 0
4 years ago
(04.05 MC)
nika2105 [10]

Answer:

D

Step-by-step explanation:

Plug in and see.

Check A: Lets plug in (0,3) into y<2/3 x+2.

3<2/3 (0)+2

3<2 is not true so not A

Check C: Lets plug in (3,5) into y<2/3 x+2.

5<2/3 (3)+2

5<2+2

5<4 is not true so not C

Check B: Lets plug in (-3,1) into y<2/3 x+2.

1<2/3 (-3)+2

1<0 is not true so not B

Check D: Lets plug in (1,2) into y<2/3 x+2.

2<2/3 (1)+2

2<2/3+2 is true so D

6 0
3 years ago
If mary. Has 1234567891012345678910lambs how many lambs does she have in tons
OLga [1]
On average a lamb weighs about 200 pounds,
so 12345678910 multiplied by 200 =<span>2.469135782e+12
</span>2.469135782e+12 divided by 2000 = <span>1234567891 tons</span>
5 0
3 years ago
Read 2 more answers
Three less than one-half a number is –71.
german

Answer: -136

Step-by-step explanation:

1/2(x)-3=-71

-68=1/2x

-136=x

*edited* I believe this is correct

8 0
3 years ago
Read 2 more answers
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