Answer:
x=3
Step-by-step explanation:
Answer:
(f+g)(x) = 5x + 3
Step-by-step explanation:
f(x) = 2x - 6 and g(x) = 3x + 9, find (f+g)(x)
(f+g)(x) = f + g = (2x - 6) + (3x + 9) = 5x + 3
(f+g)(x) = f + g = 5x + 3
Answer:
-x^4y^2 +7x^3y^3 +2x^2y^4 -3xy^5
Step-by-step explanation:
The powers of x in the terms of the given expression are ...
4, 3, 1, 2
so, we want to swap the last two terms to put them in the desired order:
-x^4y^2 +7x^3y^3 +2x^2y^4 -3xy^5
Answer:
a = 38⁰
b = 54⁰
c = 54⁰
Step-by-step explanation:
a + 142⁰ = 180⁰ because a straight line = 180⁰
b + 38⁰ + 88⁰ = 180⁰ because the angles of a triangle equal 180⁰, and the missing measurement = 38⁰ because it is a vertical angle to angle a
c + 88⁰ = 142⁰ because the angles are corresponding angles
Answer: There are 32 pints of first type and 128 pints of second type in mixture.
Step-by-step explanation:
Since we have given that
Percentage of pure fruit juice in first type = 60%
Percentage of pure fruit juice in second type = 85%
Percentage of pure fruit juice in mixture = 80%
We will use "Mixture and Allegation" to find the ratio of first and second type in mixture:
First type Second type
60% 85%
80%
------------------------------------------------------------------------
85-80 : 80-60
5% : 20%
1 : 4
so, the ratio of first and second type is 1:4.
Total number of pints of mixture = 160
Number of pints of mixture of first type in mixture is given by

Number of pints of mixture of second type in mixture is given by

Hence, there are 32 pints of first type and 128 pints of second type in mixture.