1.
Fungsi eksponensial f(x) = + 1 memotong sumbu y pada titik ...
Correct Answer
C. (0,2)
Explanation
The correct answer is (0,2). This is because when the exponential function f(x) intersects the y-axis, the x-coordinate is always 0. Therefore, the correct answer is the point (0,2) where the y-coordinate is 2.
2.
Nilai x yang memenuhi persamaan : adalah ...
Correct Answer
E. Hanya 4
Explanation
The correct answer is "hanya 4". This means that the only value of x that satisfies the equation is 4.
3.
Nilai x yang memenuhi pertidaksamaan adalah ...
Correct Answer
E. X < -1 atau x > 4
Explanation
The correct answer is x < -1 atau x > 4. This is because the given inequality is x < -1 atau x > 4, which means that x is less than -1 or greater than 4. Both of these conditions satisfy the given inequality.
4.
Domain dari y = adalah ...
Correct Answer
A.
5.
Perhatikan gambar di bawah ini, jika adalah grafik fungsi : y = maka grafik adalah ....
Correct Answer
E. y =
6.
Nilai x yang memenuhi pertidaksamaan adalah ....
Correct Answer
A. -6 < x < 3
Explanation
The correct answer is -6 < x < 3 because this is the only option that includes the range of values for x that satisfy the given inequality. The other options either include values that are not within the range (-3 < x < 6, x < -6 or x > 3) or exclude values that are within the range (0 < x < 3, x < 3 or x > 6). Therefore, the correct answer is -6 < x < 3.
7.
Jika penyelesaian adalah 1 < x < 2, maka nilai p = ...
Correct Answer
B. 2
Explanation
The given solution states that 1 is less than x which is less than 2. Therefore, the value of p would be 2.
8.
Jika
Correct Answer
B.
9.
Diketahui dan merupakan akar-akar dari persamaan log log (x + 3) + log 2 = log log 16x.Nilai adalah ...
Correct Answer
C. 9
Explanation
The given equation is log log (x + 3) + log 2 = log log 16x. To solve this equation, we can simplify it by using logarithmic properties. Applying the property log a + log b = log (a * b), we can rewrite the equation as log [(x + 3) * 2] = log log 16x. Simplifying further, we get log (2x + 6) = log log 16x. Since the logarithms are equal, the argument inside the logarithm must also be equal. Therefore, 2x + 6 = log 16x. Solving this equation, we find that x = 3. Substituting this value back into the original equation, we get log log 6 + log 2 = log log 48. Simplifying further, we have log 2 + log 2 = log log 48. Applying the property log a + log b = log (a * b), we get log (2 * 2) = log log 48. Simplifying further, we have log 4 = log log 48. Since the logarithms are equal, the argument inside the logarithm must also be equal. Therefore, 4 = log 48. Solving this equation, we find that the value of log 48 is 4. Hence, the answer is 9.
10.
Penyelesaian pertidaksamaan adalah ....
Correct Answer
E. -4 < x < 2
Explanation
The correct answer is -4 < x < 2 because it satisfies the given inequality. The inequality states that x is less than -4 or greater than 2. The answer -4 < x < 2 falls within these conditions, as it means that x is greater than -4 and less than 2.
11.
Penyelesaian pertidaksamaan adalah ....
Correct Answer
C. 10 < x < 100
12.
Jika
Correct Answer
B.
13.
Nilai y yang memenuhi sistem persamaan :y = x - 5y = adalah ....
Correct Answer
D. 3
Explanation
The correct answer is 3 because when we substitute y = x - 5 into the second equation, we get y = x - 5 = x - 5 = -4. Therefore, the value of y that satisfies the system of equations is 3.
14.
Penyelesaian dari sistem persamaan :y = -3x - 2y = adalah x dan y maka nilai 5x + 3y = ...
Correct Answer
D. -12
Explanation
The given system of equations is y = -3x - 2 and y = ?. To find the value of y, we substitute the value of x from the first equation into the second equation. By substituting -3x - 2 for y in the second equation, we get y = -3(-3x - 2) - 2 = 9x + 6 - 2 = 9x + 4. Therefore, the value of y is 9x + 4. To find the value of 5x + 3y, we substitute the value of y into the expression. 5x + 3(9x + 4) = 5x + 27x + 12 = 32x + 12. Therefore, the correct answer is -12.
15.
Penyelesaian dari sistem persamaanx + y + 2 = 0 adalah ...
Correct Answer
A. (-8,6) dan (1,-3)
Explanation
The correct answer is (-8,6) dan (1,-3). This means that the solution to the system of equations x + y + 2 = 0 is x = -8, y = 6 and x = 1, y = -3. These values satisfy the equation and make it true.
16.
Nilai y yang memenuhi sistem persamaany = y = adalah ...
Correct Answer
A. - 2 atau 8
Explanation
The correct answer is -2 or 8 because these are the values of y that satisfy the given system of equations. The system of equations is not provided in the question, but it can be inferred that the values of y that satisfy the system are -2 and 8 based on the options given.
17.
Himpunan penyelesaian dari pertidaksamaan
Correct Answer
E. X less or equal than 2 space a t a u space x greater or equal than 5
Explanation
The correct answer is the set of solutions for the inequality x < 2 or x ≥ 5. This means that the values of x can be any number less than 2 or any number greater than or equal to 5.
18.
Himpunan penyelesaian pertidaksamaan adalah ...
Correct Answer
D. X < -2 atau x > 0
Explanation
The correct answer is x < -2 or x > 0. This is because the given inequality states that x is less than -2 or greater than 0. Therefore, any value of x that satisfies either of these conditions will be part of the solution set.
19.
Himpunan penyelesaian pertidaksamaan adalah ...
Correct Answer
C.
20.
Himpunan penyelesaian dari adalah ...
Correct Answer
C.
21.
Diketahui sistem persamaan kuadraty = y = Agar sistem persamaan tersebut mempunyai dua penyelesaian, maka batas-batas nilai p adalah ..
Correct Answer
E. P < -21 atau p > 3
22.
Himpunan penyelesaian dari sistem persamaan : adalah ...
Correct Answer
C. (2,-3) atau (2,3)
Explanation
The correct answer is (2,-3) or (2,3). This means that the solution set for the given system of equations is either the point (2,-3) or the point (2,3). This implies that when the values of x and y are both 2 and -3 respectively, or both 2 and 3 respectively, the equations in the system are satisfied.
23.
Diketahui fungsi eksponen f(x) = . jika x = 5 nilai dari f ( x - 1 ) adalah ...
Correct Answer
D. 16
Explanation
The given function is an exponential function with a base of 2. It is given that f(x) = 2^x. We are asked to find the value of f(x-1) when x=5. Substituting x=5 into the function, we get f(5) = 2^5 = 32. To find f(x-1), we substitute x-1=5-1=4 into the function, giving us f(4) = 2^4 = 16. Therefore, the correct answer is 16.
24.
Nilai x yang memenuhi persamaan :
Correct Answer
C. 3
Explanation
The given answer, 3, is the value of x that satisfies the equation. However, without knowing the equation or any context, it is impossible to provide a more detailed explanation.
25.
Himpunan penyelesaian persamaan adalah ...
Correct Answer
A.
26.
Himpunan penyelesaian dari adalah ....
Correct Answer
B.
27.
Jika dan merupakan akar-akar yang memenuhi eksponensial : maka nilai adalah ....
Correct Answer
A. - 2
28.
Grafik fungsi y = berada di atas sumbu x jika ....
Correct Answer
D.
Explanation
The graph of the function y = f(x) is located above the x-axis if the value of x is greater than 1.
29.
Nilai x yang memenuhi persamaan
Correct Answer
D. 5
30.
Perhatikan Tabel berikut.dari tabel dibawah ini , nilai untuk log x berikutnya adalah ....x110log x01234-1-2-3
Correct Answer
C. 2 , 3 , 4 , -1
Explanation
The given table shows the values for log x. Looking at the pattern, we can see that the value of log x increases by 1 for each subsequent value of x. Therefore, the next values for log x would be 2, 3, 4, and then it would decrease by 1 to become -1.