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AnnyKZ [126]
3 years ago
10

Expand (3x + 4)(2x – 5)

Mathematics
1 answer:
avanturin [10]3 years ago
4 0

Answer:

6x^2-7x-20

Step-by-step explanation:

Use the FOIL method: (a+b)(c+d)= ac+ad+bc+bd

6x^2-15x+8x-20

Collect like terms:

6x^2+(-15x+8x)-20

Simplify:

6x^2-7x-20

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Tan(-212°)=____.<br><br> 1. -cot 32°<br> 2. tan 32°<br> 3. cot 32°<br> 4. -tan 32°
Marrrta [24]

Answer:

4. -\tan 32°

Step-by-step explanation:

Given:

The tangent of the angle is given as:

\tan (-212\°)

Since the angle is negative, it means that it is measured in the clockwise direction as angles measured in clockwise direction are negative and that measured in counter clockwise directions are positive.

-212° when measured from counter clockwise direction will be equal to:

-212\°(Clockwise)=360-212=148\°(CCW)

Therefore, \tan (-212\°) = \tan (148\°)

Now, we have the identity for tan as:

\tan(\pi-\theta)=-\tan \theta

Here, \theta=148\°

Therefore,

-\tan (148\°)=\tan(180-148)\\-\tan(148\°)=\tan(32\°)\\\textrm{Multiplying both sides by -1, we get:}\\-1(-\tan(148\°)=-1\times \tan(32\°)\\\\\tan(148\°)=-\tan(32\°)

Hence, \tan (-212\°) = \tan (148\°) = -\tan 32°

5 0
3 years ago
Each power smoothie that Theo makes has 3 scoops of mango, 1 scoop of strawberries, and 1 scoop of spinach. If Theo makes 7 powe
EleoNora [17]

Answer: 35 scoops total!

Step-by-step explanation: FIrst, you would add the number of scoops in total which is 3+1+1=5 scoops.

Now you would do 7*5=35

Therefore, Theo uses 35 scoops in all. I hope this helps you!

5 0
3 years ago
The set S contains some real numbers, according to the following three rules. (i) 1 1 is in S. (ii) If a b is in S, where a b is
pogonyaev

Answer:

The solution is given in the pictures below

Step-by-step explanation:

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3 years ago
Conclusions A catalog sales company promises to deliver orders placed on the Internet within 3 days.​ Follow-up calls to a few r
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It is d

hope this helped :)
3 0
2 years ago
Write the expression of polynomial a given the roots:
Liono4ka [1.6K]

Answer:

So it looks like the given zeros are 2i and -3. We have to work backwards.

x = -3 and x = 2i

For -3, we know that out factored form before would have been x + 3

For 2i, that means we took the square root of negative number because it is imaginary. So that means out factored for x2 + 4

So if we put these together:

(x2 + 4)(x + 3) = x3 + 3x2 + 4x + 12

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Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
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