Answer:
multiply each term in the bracket by the expression outside the bracket
:)
Step-by-step explanation:
Answer:
The solutions of the equation |2 x-3|=17
are x=10
and x=-7
Step-by-step explanation:
Given equations is |2 x-3|=17.
It is required to find out the values of x satisfying the given equation.
To find it out, use the fact that the solution of this type of equation is 2x-3=17.
Or 2x-3=-17 and simplify the equations using simple mathematical operations.
Step 1 of 2
Solve the equation 2x-3=17,
Add 3 on both sides of the equation 2x-3=17,
2x-3+3=17+3
2x=20
Divide by 2 on both sides of the equation 2x=20,

Step 2 of 2
Solve the equation 2x-3=-17,
Add 3 on both sides of the equation 2x-3=-17,

Divide by 2 on both sides of the equation 2x=-14,

(3/2)x-1<2x+4
3x-2<4x+8
-2<x+8
-10<x
x>-10
3((2/3)x + 1) < 11
(3*2/3)x+1*3<11
2x +3<11
2x<8
x<4
so the compound equality is the set of all numbers which are >-10 or <4, which are D) all real numbers
Answer:
We conclude that:
f(g(-2)) = -3
Step-by-step explanation:
Given
To determine
In order to determine f(g(-2)), first we need to determine g(-2)
so substituting x = -2 in g(x) = x-3
g(-2) = -2 - 3
= -5
Thus,
f(g(-2)) = f(-5)
now substitute x = -5 in the function f(x) = 2x+7
f(x) = 2x+7
f(-5) = 2(-5) + 7
f(-5) = -10 + 7
f(-5) = -3
so
f(g(-2)) = f(-5) = -3
Therefore, we conclude that:
f(g(-2)) = -3
Let sandwiches =x and drink =y.
2x+1y=7.50
5x+2y=18
Then solve simultaneously.
Sandwiches, x= 3
Drink, y= 1.5