Answer:
B. -1
Step-by-step explanation:
I just looked over it quickly, everything looks correct.
To see if a number is in the solution set, plug it in and see if its true:
0 - 9 > -10
-9 > -10
true
-1 - 9 > -10
-10 > -10
false
1 - 9 > -10
-8 > -10
true
2 - 9 > -10
-7 > -10
true
The only solution that doesn't work is B. -1
Direct proportionality is the type of proportionality where an increase in one quantity or variable causes a corresponding increase in another quantity.
Therefore; y varies directly as x
Hence; y α x
y =k x where k is a constant
if y= 28 and x = 7 , then k = 28/4 =4
hence, y = 4 k
when x = 4, then y= 16
Answer:
Option A will be correct.
Step-by-step explanation:
Here in this problem we have to get the simplified expression of 
.
Now,
= 
{Using the Distributive Property of multiplication which gives, a(b + c) = ab + ac}
= 
= - (2)(5)x - 24
= - 10x - 24 (Answer)
Therefore, option A will be correct. (Answer)
The main factor when x values are high is the nature of the function. For example, polynomial functions intrinsically grow slower than exponential functions when x is high. Also, the greater the degree of the polynomial, the more the function grows in absolute value as x goes to very large values.
In specific, this means that our 2 exponential functions grow faster than all the other functions (which are polynomial) and thus they take up the last seats. Also, 7^x grows slower than 8^x because the base is lower. Hence, the last is 8^x+3, the second to last is 7^x.
Now, we have that a polynomial of 2nd degree curves upwards faster than a linear polynomial when x is large. Hence, we have that the two 2nd degree polynomials will be growing faster than the 2 linear ones and hence we get that they fill in the middle boxes. Because x^2+4>x^2, we have that x^2+4 is the 4th from the top and x^2 is the 3rd from the top.
Finally, we need to check which of the remaining functions is larger. Now, 5x+3 is larger than 5x, so it goes to the 2nd box. Now we are done.
Answer:
Step-by-step explanation:
22
