Answer:
Step-by-step explanation:
<u>Expand the expression with the help of distributive property.</u>
- 2(q + 3)
- => (2 x q) + (2 x 3)
- => 2q + 6
Hence, the expanded expression is 2q + 6.
Answer:
n=6
Step-by-step explanation:
(n-18)/3 = -4
multiply by 3
n-18 = -12
add 18
n = 6
Answer:
5/8 are spelled incorrectly
Step-by-step explanation:
There are 16 words
He spelled 6 correctly
That means he spelled 16-6 = 10 incorrectly
The fraction spelled incorrectly is wrong/total
10/16
Simplify by dividing the top and bottom by 2
5/8
Answer:
Step-by-step explanation:
Average Temperatures Suppose the temperature (degrees F) in a river at a point x meters downstream from a factory that is discharging hot water into the river is given by
T(x) = 160-0.05x^2
a. [0, 10]
For x = 0
T(0) = 160 - 0.05 × 0^2
T(0) = 160
For x = 10
T(10) = 160 - 0.05 × 10^2
T(10) = 160 - 5 = 155
The average temperature
= (160 + 155)/2 = 157.5
b. [10, 40]
For x = 10
T(10) = 160 - 0.05 × 10^2
T(10) = 160 - 5 = 155
For x = 40
T(10) = 160 - 0.05 × 40^2
T(10) = 160 - 80 = 80
The average temperature
= (80 + 155)/2 = 117.5
c. [0, 40]
For x = 0
T(0) = 160 - 0.05 × 0^2
T(0) = 160
For x = 40
T(10) = 160 - 0.05 × 40^2
T(10) = 160 - 80 = 80
The average temperature
= (160 + 80)/2 = 120
I think the trick is to add the two middle terms together. (And the 2 end terms).
8 - 12x
The variable is x. The coefficient is - 12.
8 is a constant.
The coefficient always goes with a variable.
3x^2 + 2x + 5
Nothing can be combined. The leading coefficient is 3 (which goes with the greatest power of the variable x^2 in this case) and the other coefficient is 2. 5 is a constant.
