Answer:
Step-by-step explanation:
<h3>Given</h3>
- f(x) = 3x-2 and g(x) = 2x+1
<h3>To find </h3>
<h3>Solution</h3>
- (f+g)(x) =
- f(x) + g(x) =
- 3x - 2 + 2x + 1 =
- 5x - 1
Find the opposite of adding 15. So it would be subtracting 15. So subtract 15 on both sides. So it would have 2/3x on the left and then 2 on the other side. (2/3x=2) Now find the opposite of multiplying 2/3. It is dividing 23/3. So divide 23/3 on both sides. So multiply 2/3 times 1/2. It would equal 3. x = 3
Hope this helps. :-)
Answer:
The numbers are 12 and −29
Step-by-step explanation:
Write a proportion like so:
4 gallons/30 plants= x gallons/45 plants
Cross multiply to find the value of x
4*45= 180
180/30= 6=x
Final answer: 6 gallons
Answer:
1.8 units.
Step-by-step explanation:
The questions which involve calculating the angles and the sides of a triangle either require the sine rule or the cosine rule. In this question, the two sides that are given are adjacent to each other and the given angle is the included angle. This means that the angle is formed by the intersection of the two lines. Therefore, cosine rule will be used to calculate the length of the largest side of the triangle. The cosine rule is:
b^2 = a^2 + c^2 - 2*a*c*cos(B).
The question specifies that a=0.5, B=120°, and c=1.5. Plugging in the values:
b^2 = 0.5^2 + 1.5^2 - 2(0.5)(1.5)*cos(120°).
Simplifying gives:
b^2 = 3.25.
Taking square root on the both sides gives b = 1.8 (rounded to the nearest tenth).
This means that the length of the third side is 1.8 units!!!
