Answer:
x<-8 or x>1/5
Step-by-step explanation:
First we replace > symbol by = sign
To solve for x we multiply 5x-1 on both sides
x+8 =0
x=-8
5x-1=0 solve for x
x= 1/5
WE got two values x=-8 and x= 1/5
Now we make a number line and check with each interval
x<-8, -8<x<1/5, x>1/5
Pick x= -9 and check with the given inequality
1/46 >0 is true, so x<-8 satisfies our inequality
Pick x= 0 and check with the given inequality
-8 >0 is false , -8<x<1/5 does not satifies our inequality
Pick x= 2 and check with the given inequality
10/9>0 is true , x>1/5 satisfies our inequality
Answer:
3x^2+6x+4 is the answer :D
120 tennis racquets were sold for $ 18 each
<em><u>Solution:</u></em>
Let x = number that sell for $18 each
Then, 200 - x = number that sell for $33 each
<em><u>The total receipts form these sales were 4800 dollars</u></em>
Thus we frame a equation as:
number that sell for $18 each x 18 + number that sell for $33 each x 33 = 4800
Thus 120 tennis racquets were sold for $ 18 each
Answer:
10.69
Step-by-step explanation:
We must first know that the angle of refraction is given by the following equation:
n_water * sin (A_water) = n_air * sin (A_air)
where n is the refractive index, for water it is 1.33 and for air it is 1.
The angle (A) in the air is 22.8 °, and that of the water is unknown.
Replacing these values we have to:
1.33 * sin (A_water) = 1 * 0.387
sin (A_water) = 1 * 0.387 / 1.33
A_water = arc sin (0.2907) = 16.9 °
now for the tank depth:
h = D / tan (A_water)
D = 3.25
Replacing
h = 3.25 / tan 16.9 °
h = 10.69
Therefore the depth is 10.69 meters.
Answer: $320 - $7.50p
Step-by-step explanation:
Based on the information given in the question, the expression that shows the amount that the florist earns if p people use a competitor for delivery, and the company makes $320.00 before any payment is made to their competitors will be:
= $320 - $7.50p
where,
$320 = revenue made before any payment
$7.50 = amount paid for a customer choosing a competitor
p = number of customers