ANSWER: h=1
EXPLANATION: I hope I help
The answer to this question is 0
Answer: 14
Step-by-step explanation:
⇒ Michael's age = x −25
⇒ x − 25 + x = 53
⇒ 2x = 53 + 25
⇒ 2x =78
⇒ x =39
Hence, Michael's age
<h2>= x − 25 = 39 − 25 = 14 </h2>
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<em>~234483279c20~</em>
Answer:
Step-by-step explanation:
f(x) is quadratic function and g(x) is linear (since AP in the right column).
<u>Find the equation of the function f(x), use the points on the graph:</u>
- c = 5 as the y-intercept is (0, 5)
- a(-1)² + b(-1) + 5 = 0 ⇒ a + 5 = b
- a(5²) + b(5) + 5 = 0 ⇒ 25a + 5b + 5 = 0 ⇒ 25a + 5a + 25 + 5= 0 ⇒ a = -1 ⇒ b= 4
<u>The function is:</u>
Find the equation of g(x)
<u>Find the slope of g(x):</u>
- m = (1 - 7)/(-1 + 4) = -2
<u>Use (-4, 7) to find its equation:</u>
- y - 7 = -2(x + 4)
- y = -2x + 7 - 8
- y = -2x - 1
<h3>See the required comparison below</h3>
<u>The y-intercepts:</u>
- f(x) ⇒ 5,
- g(x) ⇒ -1
- -5 < - 1
<u>Values at x = 3:</u>
- f(3) = -3² + 4(3) + 5 = 8
- g(3) = -2(3) - 1 = - 7
- 8 > 7
<u>Average rate of change in the interval [2,5]:</u>
- f(x) ⇒ (0 - 9)/(5 - 2) = -3
- g(x) ⇒ (-11 + 5)/ (5 - 2) = -2
- -3 < -2
<u>Max of function in the interval [-5, 5];</u>
- f(x) ⇒ 9, vertex of the function
- g(x) ⇒ g(-5) = -2(-5) - 1 = 9, taken the least point of x as it is a decreasing function
- 9 = 9
Hey!
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Solution:
Find 1/3 of 63.
63 / 3 = 21
21 students gave a speech today.
63 - 21 = 42
Find 2/3 of 42.
42 / 3 = 14
14 x 2 = 28
28 of the remaining students gave their speeches.
42 - 28 = 14
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Answer:
14 students haven't given their speeches!
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Hope This Helped! Good Luck!
