Answers:
4; 20; 3x² - 4x + 3; 52; 17
Step-by-step explanation:
f(-1): replace x in f(x) = x² + 3 with -1: f(-1) = (-1)² + 3 = 4
f(-4) + g(-1) = (-4)² + 3 + <em>2(-1) + 3</em> = 16 + 3 <em>- 2 + 3</em> = 20 <em>(since g(x) = 2X + 3)</em>
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3f(x) - 2g(x) = 3[x² +3] - 2[2x + 3} = 3x² + 9 - 4x - 6 = 3x² - 4x + 3
f(g(2)): First, evaluate g(2). It is g(2) = 2(2) + 3 = 7. Next, use this output, 7, as the input to f(x): f(g(x)) = (7)² + 3 = 49 + 3 = 52
g(f(2)): First, evaluate f(x) at x = 2: f(2) = (2)² + 3 = 7. Next, use this 7 as the input to g(x): g(f(2)) = g(7) = 2(7) + 3 = 17
<span> 6.022 x 1023 i think thats how much
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Answer:
sqrt(3/8) = t
.61237 = t
Step-by-step explanation:
h(t)=−16t^2+10
Let h(t) = 4
4 =−16t^2+10
Subtract 10 from each side
4-10 =−16t^2+10-10
-6 = -16 t^2
Divide by -16
-6/-16 = t^2
3/8 = t^2
Take the square root of each side
sqrt(3/8) = sqrt(t^2)
sqrt(3/8) = t
.61237 = t
We only take the positive since time is not negative
Answer:
- 35 1/3°
- 54 2/3°
Step-by-step explanation:
Angle AOB and BOC create a complementary angle. This means when two angles sum up to 90°. We can write an equation for this problem;
(x + 8) + 2x = 90
~Remove parenthesis
x + 8 + 2x = 90
~Combine like terms
3x + 8 = 90
~Subtract 8 to both sides
3x = 82
~Divide 3 to both sides
x = 82/3 or x = 27 1/3
Use what have for x to solve for the angle measures.
Angle AOB:
x + 8
(27 1/3) + 8
35 1/3°
Angle BOC:
2x
2(27 1/3)
54 2/3°
Check.
35 1/3 + 54 2/3 = 90°
Best of Luck!
For The First Picture, I Would Say 10/12. It's Equivalent, And It's The Only One That Really Fits 1/2.
For The Second, My Best Guess Would Be C. I Apologize If It Turns Out Wrong.
Once Again For The Last One, I Would Say C. I'm Sorry If it's Wrong. My Bad.
