C + a = 138.....c = 138 - a
5.10c + 8.70a = 995.40
5.10(138 - a) + 8.70a = 995.40
703.80 - 5.10a + 8.70a = 995.40
-5.10a + 8.70a = 995.40 - 703.80
3.60a = 291.60
a = 291.60/3.60
a = 81 <===
The value of k will be 3 if the function is transformed by compression factor of 3
Step-by-step explanation:
The horizontal stretch or compression for a function f(x) is given by g = f(bx) where b is a constant. If b> 0 then the graph of function is compressed.
As it is given in the question that he function is transformed by a compression factor of 3.
Given function
The value of k will be 3 if the function is transformed by compression factor of 3
Keywords: Functions, Transformation
Learn more about functions at:
#LearnwithBrainly
Answer:
X=151
Step-by-step explanation:
1. 61+90= 151
-Combine the two given angles
2.180-151= 29
-Subtract the total of the two combined from 180 because all 3 angles of a triangle add up to 180.
-29 is your difference which is also the angle next to X.
3.180-29= 151
-To find angle X you subtract 29 from 180 because angle X and 29 are supplementary angles that add up to 180.
-Therefore X=151
A recipe calls for 1 1/2 cups of flour, 3/4 cup of white sugar, and 1/3 cup of brown sugar. The recipe makes 6 servings
A) How many cups of flour are there in 6 servings? 1 1/2 cups
How many cups of flour are there per serving? Show your work. (2 pts)
1 1/2 ÷ 6 = 3/2 x 1/6 = 3/12 = 1/4 cups for 1 serving
b) How many total cups or sugar (white and brown) are there in 6 servings?
3/4 + 1/3 = 9/12 + 4/12 = 13/12 = 1 1/12
How many cups of sugar are there per serving? Show your work. (2 pts)
1 1/12 ÷ 6 = 13/12 x 1/6 = 13/72 cups of white and brown sugar
c) Suppose you modify the recipe so that it makes 8 servings. How much more flour do you need if you already have enough for 6 servings. Show your work. (2 pts)
Flour for 6 servings = 1 1/2 cups
Flour for 1 serving = 1/4 cups
Flour for 8 servings = 1/4 x 8/1 = 8/4 = 2 cups for 8 servings
