Answer:
(h + g)(10) = -6
Step-by-step explanation:
Step 1: Define
h(x) = 3x + 3
g(x) = -4x + 1
Step 2: Find (h + g)(x)
(h + g)(x) = 3x + 3 + -4x + 1
(h + g)(x) = -x + 4
Step 3: Substitute and Evaluate
(h + g)(10) = -10 + 4
(h + g)(10) = -6
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$12 must be divided amongst the 24 cartons. 12/24= $0.50 for each carton. Hope this helped!!
Answer:
The focus of a parabola is (2, 5) and the directrix is y = 3. Find the equation of the parabola in standard form.
Step-by-step explanation:
Answer:
a) 1/2
b)2.5
c)17.5
Step-by-step explanation:
The question gives you two points on the line. From this, you can calculate the slope. Since slope is m=
, the work for question a is as follows:
m= 5.5-3/6-1
m=1/2 or 0.5
Now, you can use the information given to calculate the y-intercept. Use any of the two points to fill in x and y, and use the slope you just calculated to fill in for m. Fill in the equation and use algebra to isolate the variable and solve for b.
y=mx+b
3=0.5(1)+b
3-0.5=b+0.5-0.5
2.5=b
Finally, plug in all the numbers to find the answer for question c.
y=0.5x+2.5
y=0.5(30)+2.5
y=17.5