Simplify the expressions (x-2) (3x-4)

Answers

Answer 1

Answer: This expression can be simplified using the FOIL method of multiplication (first, outer, inner, last).

First: x · 3x = 3x²
Outer: x · -4 = -4x
Inner: -2 · 3x = -6x
Last: -2 · -4 = 8

Combine all these terms, and it leaves you with your final answer:
3x² - 10x + 8

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Need the answers for both #1 and #2 plz

Answers

#1: x=146 degrees
#3: x= 49 degrees

Suppose ∠A and ∠B are complementary angles, m∠A = (3x + 5)°, andm∠B = (2x – 15)°. Solve for x and then find m∠A and m∠B.

Answers

m∠A + m∠B = 90
(3x + 5) + (2x - 15) = 90
(3x + 2x) + (5 - 15) = 90
5x - 10 = 90
+ 10 + 10
5x = 100
5 5
x = 20

m∠A = 3x + 5
m∠A = 3(20) + 5
m∠A = 60 + 5
m∠A = 65

m∠B = 2x - 15
m∠B = 2(20) - 15
m∠B = 40 - 15
m∠B = 25

m∠A + m∠B = 90

$(3x + 5) + (2x - 15) = 90$

$(3x + 2x) + (5 - 15) = 90$

$5x - 10 = 90$

$5x - 10 +10 = 90+10$

$5x = 100$

$5x/5 = 100/5$ $Divide \ both \ sides \ by \ 5$

$x = 20$    $Solutions$

m∠A = $3x + 5$    $(x=20)$

m∠A = $3(20) + 5$ $Substitute \ x \ for \ 20$

m∠A = $60 + 5$    $Simplify$

m∠A = $65$

m∠B = $2x - 15$

m∠B = $2(20) - 15$

m∠B = $40 - 15$

m∠B = $25$

What is the solution of the system? Use elimination.
3x - 4y = 9
-3x + 2y = 9

Answers

You add two equations together to eliminate a variable. This particular problem is nice, because it's already setup to eliminate X.

3x - 4y = 9
-3x + 2y = 9

When we add these two together, 3x - 3x cancels each other out, leaving us with 0x, or nothing.

We continue with -4y + 2y (leaves us with -2y) and 9+9 (18).

-2y = 18

18/-2 = -9.

Now we have y = -9, and we can go back into the problems to solve for x.

3x - 4(-9) = 9

3x + 36 = 9.

3x = -27

x = -9.

Confirm with the final equation:

-3(-9) + 2(-9) = 9
27 - 18 = 9
9 = 9 --- Confirmed.

Answer:

[-9, -9]

Step-by-step explanation:

Here is how the Eliminasyon Metòd is done:

{3x- 4y = 9

{-3x+ 2y = 9

--------------

-2y = 18; -9 = y [plug this back into both equations for y to get -9 = x]

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The sum of a number and -43 is 102.what is the number

Answers

Answer: 145

Step-by-step explanation:

Answer: 145

Step by step explanation:

Which answer makes the most Sense

Answers

either 1st or 3rd in my opinion

Lisa purchased a prepaid phone card for $25. Long-distance calls cost $.21 a minute using this card. Alyssa used her card only wants to make a long distance call. If the remaining credit on her card is $20.59, how many minutes did her call last?

Answers

21 minutes
You have to take away 25-20.59 then divide the answer by 0.21

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Multiply c^2(c^2-10c+25)

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