Answer:
- See below and the attachment
Step-by-step explanation:
<em>Refer to attached graph.</em>
<em>It i</em>ncludes the points and a best fit line produced by a graphing calculator.
- 17. The scatter plot is attached
- 18. There is a positive slope. Number of field goal attempts increase as minutes played increase.
- 19. The point is plotted: 2500 minutes gives about 880 field goal attempts.
Answer:
ΔDEC/ΔRST is 13/3 it is c
Step-by-step explanation:
ΔRST/ΔDEC = 3/13 so the inverse is 13/3
Answer as a fraction: 17/6
Answer in decimal form: 2.8333 (approximate)
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Work Shown:
Let's use the two black points to determine the equation of the red f(x) line.
Use the slope formula to get...
m = slope
m = (y2-y1)/(x2-x1)
m = (4-0.5)/(2-(-1))
m = (4-0.5)/(2+1)
m = 3.5/3
m = 35/30
m = (5*7)/(5*6)
m = 7/6
Now use the point slope form
y - y1 = m(x - x1)
y - 0.5 = (7/6)(x - (-1))
y - 0.5 = (7/6)(x + 1)
y - 0.5 = (7/6)x + 7/6
y = (7/6)x + 7/6 + 0.5
y = (7/6)x + 7/6 + 1/2
y = (7/6)x + 7/6 + 3/6
y = (7/6)x + 10/6
y = (7/6)x + 5/3
So,
f(x) = (7/6)x + 5/3
We'll use this later.
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We ultimately want to compute f(g(0))
Let's find g(0) first.
g(0) = 1 since the point (0,1) is on the g(x) graph
We then go from f(g(0)) to f(1). We replace g(0) with 1 since they are the same value.
We now use the f(x) function we computed earlier
f(x) = (7/6)x + 5/3
f(1) = (7/6)(1) + 5/3
f(1) = 7/6 + 5/3
f(1) = 7/6 + 10/6
f(1) = 17/6
f(1) = 2.8333 (approximate)
This ultimately means,
f(g(0)) = 17/6 as a fraction
f(g(0)) = 2.8333 as a decimal approximation
Answer:
80
Step-by-step explanation:
7x +3 = 5x + 25
2x + 3 = 25
2x = 22
x = 11
Answer:
x =-2.1
Step-by-step explanation:
X/2+10=8.95
Subtract 10 from each side
X/2+10-10=8.95 -10
x/2 =-1.05
Multiply each side by 2
x/2*2 =-1.05*2
x =-2.1
