Step-by-step explanation:
multiplying expressions.
remember every term of one expression has to be multiplied with every term of the other expression, and the results are added up (while considering their individual signs, of course).
1.
(-3×3 + 2x - 4)(3x - 2)
(-9 + 2x - 4)(3x - 2)
(-13 + 2x)(3x - 2) = -13×3x + -13×-2 + 2x×3x + 2x×-2 =
= -39x + 26 + 6x² - 4x = 6x² - 43x + 26
2.
let's do the other multiplication and compare the result with the result of 1 :
(-13 + 2x)(2x - 3) = -13×2x + -13×-3 + 2x×2x + 2x×-3 =
= -26x + 39 + 4x² - 6x = 4x² - 32x + 39
no, this product is not the same as in 1.
Answer:
x ≈ 8.66
Step-by-step explanation:
Using the sine ratio in the right triangle
sin60° =
= 
Multiply both sides by 10
10 × sin60° = x, thus
x ≈ 8.66 ( to 2 dec. places )
<span>Let x be the number of songs downloaded.
Each song is $1.29; the total cost would be found by multiplying the cost by the number of songs, or 1.29x.
This cannot be more than 20, so we set this less than or equal to 20:
1.29x ≤ 20.
<u>To solve this, we divide both sides by 1.29: </u>
</span>

<span> ≤ </span>

<span>;
x ≤15.5.
We <u>cannot download half of a song</u>, so we round this down to 15 (although the number rounds up mathematically, he would not have enough money to download 16 songs). This means he can download at most 15 songs.</span>
Answer:
353
Step-by-step explanation:
355-42=x-40
I just need to subtract 2 from 355 to get x because I subtracted 2 from 42 to get 40.
355-2=353=x
Answer: 12.25
Step-by-step explanation:
Given the following details :
DAC = 90° and ABC = 90° = right angled
Segment AB is Parallel to segment DC
FROM THE DETAILS ;
Triangle ABC and ACD are similar triangles.
Length AC = 7 Units
Length AB = 4 Units
For similar triangles :
Segment CD /AC = Segment AC / AB
CD / 7 = 7 / 4
Cross multiply
CD × 4 = 7 × 7
CD × 4 = 49
CD = 49 / 4
CD = 12.25 Units