a) 170.00 =8n -30
200= 8n
n = 200/8 = 25 items
b) since the expenses increased the profits would decrease
profit = 8(25)-40 = 200-40 = 160
170-160 = 10.00
profit decreased by $10.00
Answer:
-
Step-by-step explanation:
A root with square root or under root is only obtained when we take the square root of both sides. Remember that when we take a square root, there are two possible answers:
- One answer with positive square root
- One answer with negative square root
For example, for the equation:
If we take the square root of both sides, the answers will be:
Only getting one solution with square root is not possible. Solutions with square root always occur in pairs.
For given case, the roots are 6 and . Therefore, the 3rd root of the polynomial function f(x) had to be -
It seems you made error while writing option B, it should be - square root of 5.
Answer:
12 cm x 15 cm
Step-by-step explanation:
if the picture frame thickness is x,
then the frame dimension would be (8+2x) cm by (11+2x) cm
area is (8+2x)(11+2x)=180
solve for x, x= 2, -23/2
x is thickness, so should be >0, so x=2
frame dimension: 12 x 16
To get that number in the problem, you need to translate first the word problem into mathematical expression.
We will let x as the number.
six more than the product of a number and -2 is greater than 10 can be written as (-2x) + 6 > 10
We will now solve for x to get the number.
(-2x) + 6 > 10
Add -6 to both sides of the equation
-2x + 6 - 6 > 10 - 6
-2x > 4
Divide both sides of the equation with -2
Take note that if we divide a negative number in inequality, the inequality symbol will be change from greater than to less or from less than to greater than.
-2x / -2< 4 / -2
x < -2
Therefore, the number that we are looking for is less than -2.
