Answer:
4
Step-by-step explanation:
-2x- 4 + 5x = 8
Collect like terms
-2x + 5x = 8 +4( when a variable crosses over equality sign it becomes either negative or positive depending on the sign)
3x = 12
Divide via by coefficient of x
X = 12/3
= 4
Answer:
Step-by-step explanation:
sum of angles on a straight line = 180
b + b + 148 = 180
2b + 148 = 180
The answer is $6.75 for topping and for the pizza is $2.25
Answer:
√7
Step-by-step explanation:
Let :
AC = x
BD = y ; AD = 3 - y
Since, AD = BC
Then BC = 3 - y
Taking △BDC a d applying Pythagoras
Hypotenus² = opposite² + adjacent²
BC² = CD² + BD²
(3 - y)² = (√3)² + y²
9 - 6y + y² = 3 + y²
-6y + y² - y² = 3 - 9
-6y = - 6
y = 1
AD = 3 - y ; AD = 3 - 1 = 2
Taking △ADC
AC² = CD² + AD²
AC² = (√3)² + 2²
AC² = 3 + 4
AC² = 7
AC = √7
We have to functions, namely:

So the problem is asking for the smallest positive integer for

so that

is greater than the value of

, that is:

Let's solve this problem by using the trial and error method:

So starting

from 1 and increasing it in steps of one we find that:

when

That is,
the smallest positive integer for

so that the function

is greater than
is 4.