Answer:
2/3 card per hour
Step-by-step explanation:
The correct calculation is given below
The number of cards she can make per hour is :
12 hours = 8 cards
1 hour = x cards
Cross Multiply
12 hours × x cards = 8 cards × 1 hour
x cards = 8 cards × 1 hour/12 hours
x cards = 2/3 card
She can make 2/3 card per hour
Answer:
z=55
Step-by-step explanation:
The two angles form a straight line which is 180 degrees
80 + 2z-10 = 180
Combine line terms
70 +2z = 180
Subtract 70 from each side
70-70 +2z= 180 -70
2z = 110
Divide by 2
2z/2 = 110/2
z = 55
If <em>c</em> > 0, then <em>f(x</em> - <em>c)</em> is a shift of <em>f(x)</em> by <em>c</em> units to the right, and <em>f(x</em> + <em>c)</em> is a shift by <em>c</em> units to the left.
If <em>d</em> > 0, then <em>f(x)</em> - <em>d</em> is a shift by <em>d</em> units downward, and <em>f(x)</em> + <em>d</em> is a shift by <em>d</em> units upward.
Let <em>g(x)</em> = <em>x</em>. Then <em>f(x)</em> = <em>g(x</em> + <em>a)</em> - <em>b</em> = (<em>x</em> + <em>a</em>) - <em>b</em>. So to get <em>g(x)</em>, we translate <em>f(x)</em> to the left by <em>a</em> units, and down by <em>b</em> units.
Note that we can also interpret the translation as
• a shift upward of <em>a</em> - <em>b</em> units, since
(<em>x</em> + <em>a</em>) - <em>b</em> = <em>x</em> + (<em>a</em> - <em>b</em>)
• a shift <em>b</em> units to the right and <em>a</em> units upward, since
(<em>x</em> + <em>a</em>) - <em>b</em> = <em>x</em> + (<em>a</em> - <em>b</em>) = <em>x</em> + (- <em>b</em> + <em>a</em>) = (<em>x</em> - <em>b</em>) + <em>a</em>.
-28/9-(-5 5/9)
-28/9-(50/9)
-28/9-50/9
22/9
= 2 4/9= 2.444444
hope this helps!
Answer:
A
Step-by-step explanation:
Given
f(x) = 
The denominator of f(x) cannot be zero as this would make f(x) undefined.
Equating the denominator to zero and solving gives the value that x cannot be and if the numerator is non zero for this value then it is a vertical asymptote.
x + 3 = 0 → x = - 3 is the vertical asymptote
