A(2,6) translation <span>A=(4,-5)
4 - 2 = 2
-5 - 6 = -11
rule
(x) --->(x + 2) (shifted 2 units to the right)
(y) --->(y - 11) (shifted 11 units down)
</span>
(1/2)^2 = 1/4.
1/4 - 12 - 12/3 = 1/4 - 12 - 4 = -15 and 3/4.
Answer:
<h2>1/2(x + 10) = x/2 + 5</h2>
Step-by-step explanation:
the sum of x and 10 = x + 10
one-half = 1/2
one-half the sum of x and 10 = 1/2(x + 10) = x/2 + 5
Answer:
(fog)(x) = 2x² - 10x + 15
Step-by-step explanation:
- (fog)(x) is called a composite function, where x in f(x) substituted by g(x).
- The range of g(x) is the domain of f(x)
Let us solve our question
∵ f(x) = 2x + 3
∵ g(x) = x² - 5x + 6
→ We need to compute (fog)(x)
∴ Substitute x in f(x) by g(x)
∵ (fog)(x) = 2(x² - 5x + 6) + 3
→ Multiply the bracket by 2
∵ 2(x² - 5x + 6) = 2(x²) - 2(5x) + 2(6)
∴ 2(x² - 5x + 6) = 2x² - 10x + 12
→ Substitute it in the composite function above
∴ (fog)(x) = 2x² - 10x + 12 + 3
→ Add the like terms 12 and 3
∴ (fog)(x) = 2x² - 10x + 15
Answer:
1) 3c+2s=19
4c+5s=30
2) c=5 s=2
3)42minutes
Step-by-step explanation:
The potter need 3c minutes to make three cups and 2s to make two saucers, then he needs 3c+2s minutes to make both of them
3c+2s=19
He needs 4c+5s minutes to produce 4 cups and 5 saucers
4c+5s=30 (half of an hour is 30 minutes)
So the equations are
3c+2s=19
4c+5s=30
2) to solve you should express c from the first equation and use it in the second equation
3c=19-2s
c=19/3-(2/3)*s
4(19/3-(2/3)*s) +5s=30
76/3-(8/3)*s+5s=30
(7/3)*S= (14/3)
s=2
3c=19-4
3c=15
c=5
3) 6c+6s= 6(c+s)= 6(5+2)=6*7=42
