Answer:
A
Step-by-step explanation:
Given
(3x² - 11x - 4) - (2x² - x - 6)
Distribute both parenthesis, noting the second is distributed by - 1
= 3x² - 11x - 4 - 2x² + x + 6 ← collect like terms
= x² - 10x + 2 ← this is a quadratic with 3 terms, thus trinomial → A
Answer:
1⅙ gal
Step-by-step explanation:
⅔ × ⁷/₄ Cancel 2s
= ⅓ × ⁷/₂ Multiply numerators and denominators
= ⁷/₆ Convert to a mixed number
= 1⅙
The container holds 1⅙ gal when it is ⅔ full.
Not sure what the extra numbers and equation are, but I'll just solve it.*Note* first number and second number isn't really assigned, just shows one of the numbers of the two*
F= first number
S= second number
F+S=78
F-S= 32
Now, you want to eliminate F, so you'll multiply the first equation by -1
-(F+S=78)
F-S=32
-F-S=-78
F-S=32
-2S=-46
S=23
Now plug in the number to one of the equations.
F+23=78
78-23= 55
The two numbers are 55 and 23.
Answer:
<u>There are 97 nickels in the jar</u>
Step-by-step explanation:
1. Let's review the information given to us to answer the question correctly:
Number of coins = 205
Number of nickels = x
Number of quarters = 205 - x
Value of the 205 coins = $ 31.85
2. If both of these statements are true, how many nickels are in the jar?
Let's solve for x, this way:
0.05x + 0.25 (205 - x) = 31.85
0.05x + 51.25 - 0.25x = 31.85
-0.2x = 31.85 - 51.25
-0.2x = - 19.4
x = -19.4/-0.2
x = 97 ⇒ 205 - x = 108
<u>There are 97 nickels and 108 quarters in the jar</u>
The solution set for the equation |4x - 9| + 3 = 8 are its true values
The solution set is x = 3.5 or x = 1
<h3>How to determine the solution set?</h3>
The equation is given as:
|4x - 9| + 3 = 8
Subtract 3 from both sides
|4x - 9| = 5
Remove the absolute bracket
4x - 9 = 5 or 4x - 9 = -5
Add 9 to both sides
4x = 14 or 4x = 4
Divide both sides by 4
x = 3.5 or x = 1
Hence, the solution set is x = 3.5 or x = 1
Read more about solution set at:
brainly.com/question/1214333