Answer/Step-by-step explanation:
As the input increases by 1, the output decreases by 4. The missing number for the Input is 6, and the missing number for output is -17.
A) Answer: x>2
Step by Step: •-2x-10<-14
•-2x-10(+10)<-14(+10)
•-2x<-4 -divide each side by -2x
•x>2(since you divided by a negative, switch the sign)
b) Answer: x<-7
Step by Step: •x+4/3 < -1
•multiply each side by the denominator (3)
•x+4(-4)<-3(-4) subtract
•x<7
Here are the graphs!!
Answer:
x=-8/5, y=-4/5. (-8/5, -4/5).
Step-by-step explanation:
y=-2x-4
y=3x+3
-----------
-2x-4=3x+3
-2x-3x-4=3
-5x-4=3
-5x=3+4
-5x=8
x=8/-5
y=-2(-8/5)-4
y=16/5-4
y=16/5-20/5=-4/5
Answer:
a) 24 cm
Step-by-step explanation:
Tangents form a 90° angle with a radius.
using the Pythagorean theorem:
D² = 25² - 7²
D² = 625 - 49 = 576
D = 24
Answer:
17
Step-by-step explanation:
In this case we know that there are a total of 340 recipients and they tell us that of 20 recipients only 1 receipt of the 40% discount.
So what you need to do is apply the probability to the total recipients, like so:
Number of recipients with 40% = Total recipient * probability of 40%
N = 340 * (1/20)
N = 17
Which means that the best projection is that only 17 people out of those 340 will benefit from the 40% discount.