Answer:
On the trig unit circle,
tan 225 = tan (45 + 180) = tan 45 = 1
Answer:
y = -0.6x^2 + 5x + 6
Step-by-step explanation:
First, find the equation of a linear line that passes through the points (0,6) and (3, 15.6) in the slope intercept form, y = mx + b. We know that the line has a y-intercept of 6, so b = 6. Substitute 3 for x, 15.6 for y, and 6 for b to find m.
y = mx + b
15.6 = 3m + 6
9.6 = 3m
m = 3.2
y = 3.2x + 6
y = a(x - 0)(x - 3) + 3.2x + 6
y = a(x)(x - 3) + 3.2x + 6
Finally, substitute 10 for x and -4 for y in the equation above to find a.
-4 = a(10)(10 - 3) + 3.2*10 + 6
-4 = a(10)(7) + 32 + 6
-4 = 70a + 38
-42 = 70a
a = -0.6
Simplify to write in standard form.
y = -0.6(x)(x - 3) + 3.2x + 6
y = -0.6x^2 + 5x + 6
Answer:
The sum of 3 consecutive integers is 13 more than twice the smallest integer. Find the integer.
x + (x+1) + (x+2) = 2x + 13
3x + 3 = 2x + 13:
3x - 2x = 13 - 3
x = 10 is the smallest integer:
Check: 10 + 11 + 12 = 2(10) + 13
Answer:
D
Step-by-step explanation:
Rotating 270 puts you in the 4th quadrant.
If f(x) = 5x - 16, then value of f(9) is 29
<em><u>Solution:</u></em>
Given function is f(x) = 5x - 16
We are asked to find the value of f(9)
To find the value of f(9), we have to substitute x = 9 in given function and solve the function
Therefore, substitute x = 9
f(x) = 5x - 16
f(9) = 5(9) - 16
Multiply 5 with 9 which gives 45
f(9) = 45 - 16
Subtract 16 from 45
f(9) = 29
Thus value of f(9) is 29