Answer:
95
Step-by-step explanation:
(8)(10)+6−27+(5)(8)−4
=80+6−27+(5)(8)−4
=86−27+(5)(8)−4
=59+(5)(8)−4
=59+40−4
=99−4
=95
hope this helped :)
You will need 6 cups of sugar.
Step - by - Step Explanation
What to find? <em>The number of cups of sugar needed to make a cake with 12 cups of flour.</em>
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Given:
Cups of flours = 4
Cups of sugar = 2
Cups of flour =12
Let x be the number of cups of sugar needed to make a cake with 12 cups of flour.
Using proportion;
4 cups of flour = 2 cups of sugar
12 cups of flour = x
Cross - multiply
4x = 24
Divide both-side of the equation by 4
x =6
Hence, you will need 6 cups of sugar.
Answer:
A. -4
Step-by-step explanation:
Given the function f(x) = x + 3 for x ≤ -1 and 2x - c for x > -1, for the function to be continuous, the right hand limit of the function must be equal to its left hand limit.
For the left hand limit;
The function at the left hand occurs at x<-1
f-(x) = x+3
f-(-1) = -1+3
f-(-1) = 2
For the right hand limit, the function occurs at x>-1
f+(x) = 2x-c
f+(-1) = 2(-1)-c
f+(-1) = -2-c
For the function f(x) to be continuous on the entire real line at x = -1, then
f-(-1) = f+(-1)
On equating both sides:
2 = -2-c
Add 2 to both sides
2+2 = -2-c+2
4 =-c
Multiply both sides by minus.
-(-c) = -4
c = -4
Hence the value of c so that f(x) is continuous on the entire real line is -4
