Which of the following statements correctly describes the motion of the car shown by the velocity time graph
1. Which of the following statements correctly describes the motion of the car shown by the velocity time graph
Mana dari pernyataan-pernyataan berikut benar menjelaskan gerakan mobil yang ditunjukkan oleh kecepatan waktu grafik.
2. using the graph order the lines from the steepest slope to the least steep slope
Jawaban:
menggunakan grafik mengurutkan garis dari kemiringan paling curam ke kemiringan paling tidak curam
Jawaban:
menggunakan grafik untuk mengurutkan garis dari kemiringan yang paling curam ke kemiringan yang paling tidak curam3. which graph represents the solution of the inequality -12x > 36
Jawaban:
the working and the answer are shown in the pic.
semangat belajar;))
4. The number of burgers and milkshakes sold by a restaurant since it was opened are represented by the following: Time (months); Burgers sold. 3;53, 6;91, 10;34, 13;74, 17;13. Which graph best represents the relationship between time and the number of burgers sold?
Which graph best represents the relationship between time and the number of burgers sold is 6;91
5. Aisyah poured some water into a flask and measured the temperature of the water before heating. She use her result to draw this graph. (A) What was the temperature of the water before it was heated? (B) Which part of the graph, QR or RS, shows when the temperature of the water was rising
Jawaban:
TemperatureandHeatPenjelasan dengan langkah-langkah:
A. The temperature of the water before it was heated is 40⁰c.
B. The temperature of the water was rising is QRfrom 40⁰c to 100⁰c.
Thus,
Hopelly dan Usefully
6. Data were collected on the fiber diameter and the fleece weight of wool taken from a sample of 20 sheep. the data are shown in the following graphs. graph 1 is a scatterplot of fleece weight versus fiber diameter with the respective least-squares regression line shown. graph 2 is the associated plot of the residuals versus the predicted values.
Penjelasan dengan langkah-langkah:
Pengambilan data diameter serat dan berat bulu domba diambil dari sampel sebanyak 20 ekor domba. data tersebut disajikan dalam grafik berikut. grafik 1 adalah sebaran berat bulu domba versus diameter serat dengan masing-masing garis regresi kuadrat terkecil ditampilkan. grafik 2 adalah plot terkait dari residu versus nilai yang diprediksi
7. kak..pliss jawab dong...important!plisss find the trigonometric function of the graph. jawab yaa :
Jawab:
4 tan x°
Penjelasan dengan langkah-langkah:
perhatikan bahwa di kuadran I (sudut 0° sampai 90°) nilai sudutnya positif, maka fungsi trigonometri yang digunakan adalah sinus atau tangen
lalu pada sudut 90° sampai 180° (kuadran II) nilai nya negatif, maka fungsi trigonometri diatas cosinus atau tangen
dari kedua kesimpulan diatas, maka jelas fungsi yang dipakai adalah tangen. perhatikan bahwa
tan 45° = 1
maka
4 tan 45° = 4
maka kemugkinan fungsi diatas berbentuk
4 tan x°
cek
4 tan 135° = 4 tan (180° - 45°) = 4 (-tan 45°) = 4.(-1) = 4×(-1) = -4 (sesuai)
4 tan 225° = 4 tan (180 + 45°) = 4 tan 45° = 4×1 = 4 (sesuai)
Jadi fungsi trigonometri yang dipakai adalah 4 tan x°
8. Which part of the bar graph shows the name of the graph?a. Titleb. Axisc. Scaled. Labelsmaaf bukan mata pelajaran indonesia kepencet harusnya matematika
Pertanyaan
Which part of the bar graph shows the name of the graph?
a. Title
b. Axis
c. Scale
d. Labels
Jawaban:
d. Labels
Penjelasan:
maaf kalo salah
semoga membantu
9. The line graph shows the number of cans of baked beans a machine sealed over five minutes
Jawaban:
a) 128 cans
b) 128÷4 = 32 cans
c) 480 cans ÷ 32 = 15 minutes
10. mohon bantuannya The picture is a graph of quadratic function......
Persamaan umum fungsi kuadrat :
f(x) = Ax² + Bx + C
Diketahui grafik fungsi f(x) melewati titik :
» (3 , 0)
=> f(3) = 0
=> A.(3)² + B.(3) + C = 0
=> 9A + 3B + C = 0 ( i )
» (–1 , 0)
=> f(–1) = 0
=> A.(–1)² + B.(–1) + C = 0
=> A - B + C = 0 ( ii )
» (0 , 3)
=> f(0) = 3
=> A.(0)² + B.(0) + C = 3
=> C = 3
Subtitusikan nilai C ke ( i ) :
9A + 3B + C = 0
9A + 3B + 3 = 0
9A + 3B = –3 ( iii )
Subtitusikan nilai C ke ( ii ) :
A - B + C = 0
A - B + 3 = 0
A - B = –3 ( iv )
Eliminasi ( iii ) dan ( iv ) :
( iii ) : 9A + 3B = –3
(iv) × 3 : 3A - 3B = –9
________________ +
12A = –12 => A = –1
Subtitusikan nilai A ke ( iv ) :
A - B = –3
–1 - B = –3 => B = 2
Substitusikan nilai A, B, dan C ke persamaan fungsi kuadrat :
f(x) = Ax² + Bx + C
f(x) = (–1)x² + (2)x + (3)
Jadi, persamaan fungsi kuadrat grafik tersebut adalah : f(x)=–x²+2x+3
11. make the graph of this equation : 2x + y = 2!
Semoga Bermanfaat
:")
12. 1.what is the percentage of the indonesian workers who have a university degree?2.which percentage is bigger,the workers with an SMA certificate or an SMK sertificate?3.what is the educational level of the majority of indonesian workers based on the graph?
1. 4 percent workers who have a university degree
2. SMA bigger than SMK (precentage workers)
3. SD level.
13. 23 The graph of 2x + 4y = 15 is a straight line. Work out the gradient of the line. pls jawab
m1 = -2/4 = -1/2
straight line
m2 = -1/-1/2
m2 = 2
14. Find the maximum and minimum point for y=3+4x³-x⁴. Sketch the graph of the curve.
Jawab:
Penjelasan dengan langkah-langkah:
[tex]y = 3+4x^3 - x^4\\\\y' = 12x^2 - 4x^3 = 0\\\\x^3 - 3x^2 = 0\\\\x^2(x-3) = 0\\\\x = 0 \;\cup\; 3\\\\y'' = 24x - 12x^2 = 0\\\\x^2 - 2x = 0\\\\x(x-2) = 0\\\\x = 0 \;\cup\; 2\\\\y''' = 24-24x = 0 => x = 1\\\\ y'''' = -24\\\\\begin{minipage}{15em}berdasarkan turunan keempat, ketiga, kedua, dan pertama :\\\\- f(x) terbuka keatas dan memiliki minimum pada interval $0 < x < 2$ \\\\- f(x) terbuka kebawah dan \\memiliki maksimum pada \\interval $x < 0$ atau $x > 2$ \\\\\end{minipage}[/tex]
[tex]\begin{minipage}{15 em}- f(x) memiliki perubahan kecekungan parabola singgung terbesar pada x = 1\\\\- berdasarkan turunan kedua maka f(x) memiliki maksimum lokal di x = 3\\\\- x = 0 pada interval $ 0< x < 2 $ bukan merupakan maksimum maupun minimum, tetapi secara keseluruhan tanpa interval x = 0 merupakan minimum f(x) (karena maksimum f(x) sudah ditemukan)\end{minipage}[/tex]
[tex]\begin{minipage}{15 em}- Nilai turunan keempat negatif dan mempengaruhi sifat turunan diatasnya \\- f(x) monoton turun ketika $x > 3$ dan monoton naik untuk \\$x < 0 \;\cap\; 0<x<3$ \\(netral pada x = 0)\end{minipage}[/tex]
maximum = f(3), "minimum" = f(0) = 3 = titik potong sumbu y
maximum = 3+4(3)³ - 3⁴ = 30
15. the bar graph shows the number of visitors who visited the MC Heritage Centre over the last five months.
B. Indonya:
grafik batang menunjukkan jumlah pengunjung yang mengunjungi MC Heritage Center selama lima bulan terakhir.
16. What is y- intercept point of the graph below?
Jawaban:
(0,-6)
Penjelasan dengan langkah-langkah:
ingat bahwa y- intercept point (titik potong sumbu y) adalah titik yang memotong sumbu y (vertikal) dan titik bertemunya garis di x=0
lokasinya pada fungsi kuadrat adalah (0,c)
misal...
x² - 2x + 3
a = 1
b = -2
c=3
maka titik potong sumbu y adalah (0, 3)
--------
di grafik, titik potong sumbu y berada di (0,-6)
17. which graph represents the solution of the inequality -12x > 36
Jawaban:
the working and the answer are shown in the pic.
semangat belajar;))
18. the graph of y = ax2 bx c has its vertex at the point (1, 5) and intersects the y-axis at (0, 1). find the values of a, b and c
Jawaban:
a = –4, b = 8, and c = 1.
Pembahasan
Fungsi Kuadrat (Quadratic Functions)Given that the vertex of y = ax² + bx + c is (1, 5), we know that the axis symmetry for this graph is x = 1, which equals to –b/(2a).
Therefore:
–b/2a = 1
⇔ b = –2a ....(i)
From that vertex, we know that y = 5 when x = 1. The value of y is the minimum or maximum value of ax² + bx + c.
Let’s substitute –2a for b, based on eq. (i).
y = ax² – 2ax + c .....(ii)
And then, substitute 5 for y and 1 for x.
5 = a(1²) – 2a(1) + c
⇔ 5 = a – 2a + c
⇔ 5 = –a + c
⇔ c = a + 5 .....(iii)
Substitute a + 5 for c in eq. (ii).
y = ax² – 2ax + a + 5 .....(iv)
The y-intercept point is at (0, 1).
Let’s plug x = 0 and y = 1 into eq. (iv).
1 = a(0²) – 2a(0) + a + 5
⇔ 1 = 0 – 0 + a + 5
⇔ 1 = a + 5
⇔ a = 1 – 5
⇔ a = –4
Plug a = –4 into eq. (i), we get:
b = –2(–4) = 8
And then, plug a = –4 into eq. (iii), we get:
c = –4 + 5 = 1
CONCLUSIONa = –4, b = 8, and c = 1.
The complete function is y = –4x² + 8x + 1.
19. 5. The points (4, a), (5,-2) are some points on the graph of y = 2x + 7. Find without plotting the graph, (a) the value of a, (b) the value of b.
Penjelasan dengan langkah-langkah:
(4, a) ------> y = 2x + 7
a = 2 . 4 + 7
= 8 + 7
= 15
so, value of a is 15
20. (c) The point (r, 0.5) lies on the graph in (b). Find the value of r.
equation= -x+2y=4
-x+2(0,5)=4
-x+1=4
-x=4-1
-x=3
x=-3
belajar yang semangat ya, salam siswa Gandhi
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