Answer:
Step-by-step explanation:
Additive inverse of (5a² - 4a + 3) should be added to make them zero
(5a² - 4a + 3) + (-5a² + 4a - 3)= <u>5a² - 5a² </u> <u>- 4a + 4a</u> <u>+ 3 - 3</u>
= 0
Translate words into numbers.
13/(1 3/7)
First convert to improper fraction.
13/(10/7)
Then, note that division is the same as multiplying by the divisor's reciprocal.
13x7/10=9.1
answer: $9.10 per kilogram
Let x be the yearly salary of an architect. Then the yearly salary of a lawyer is 2x-20000.
We can build an equation now! x+(2x-20000)=211000, because the yearly salary of an architect plus the yearly salary of a lawyer is 211000.
We combine like terms to get 3x-20000=211000.
We add 20000 to both sides to get 3x=231000.
We divide both sides by 3 to get x=77000, so the average yearly salary of a lawyer is 77000.
Then, the average yearly salary of an architect is 2(77000)-20000=154000-20000=134000, so the average yearly salary of an architect is 134000.
Answer:
Number 1 and Number 4
Step-by-step explanation:
By factoring, you can figure out the roots (x = -2 or x = 2)...
1. x^2 - 4 = 0
--> (x + 2)(x - 2) = 0
--> x = -2, x = 2
2. x^2 + 4 = 0
--> factors weirdly, so I won't write it. You'd have to use the quadratic formula.
3. 3x^2 + 12 = 0
--> 3 (x^2 + 4) = 0
--> factors weirdly (same as above)
4. 4x^2 - 16 = 0
--> 4 (x^2 - 4) = 0
--> 4 (x+2) (x-2) = 0
--> x = -2, x = 2
5. 2 (x-2) 2 = 0
--> x = 2
The average speed of the delivery truck would be 136.5
