Diagram 5 shows the graph of a quadratic function y = f(x)
1. Diagram 5 shows the graph of a quadratic function y = f(x)
a. y = 21+4x-x²
0 = 21+4x-x²
0 = (7-x)(3+x)
x = 7 atau x = -3
b. mencari sumbu simetri di turunan pertama:
y = 21+4x-x²
y' = 4 - 2x ; subtitusi y' = 0 (karena pada titik puncak, m=0)
0 = 4 - 2x
2x = 4
x = 2 ← sumbu simetri
2. For the absolute value of the inequality |x−2|<2, the interval value of x is
Jawaban:
XE{0, 4}
Penjelasan dengan langkah-langkah:
x-2<2,x-2≤0-(x-2) <2,x-2<0
x<4,x≤2
x>0,x<2
xE{2,4}
xE{0,2}
xE{0,4}
3. Find the value of x of absolute value in the following equation: | 4 - 3x | = | -4 |
|4 - 3x| = |-4| |4 - 3x| = 4 , , 4 - 3x = 4 -3x = 4 - 4 -3x = 0 x = 0 . . 4 - 3x = -4 -3x = - 4 - 4 -3x = -8 x = 8/3
4. 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
5. For the function f, find the indicated limit or function value, or state that it dose not exist.
Jawaban:
fuck .......................
6. the second please write the function and value of that song
Jawaban:
lagu yg mana nih?
kan ga jls soalnya.
7. the quadratic function which takes the value 41 at x=-2 and the value 20 at x=5 and is minimized at x=2 isy=Ax²-Bx+CThe minimum value of this function is D.
the minimum value of that function is -18
8. the bar graph shows the number of fruits sold by a stall in one afternoon
A) the average number of fruits sold is the sum of the fruits sold divided by the number of fruits. (360/4) = 90.
B) Orange = 0.40 x 120 = $48
Pear = 0.65 x 95 = $61.75
Banana = 1 x 60 = $60
Papaya = 2.50 x 85 = $212.5
Totalamountofmoney:48+61.75+60+212.5=$382.25
Hopeithelps.
9. The speed-time graph shows a 50-second car journey, Calculate the total distance travelled over the 50 seconds.
Jawaban:
aku ambil poin yaaaahahaha
Jawaban:
Distance travelled = 675 m
Max Acceleration = 1.5 m/s²
Explanation:
Concepts
1. Area under speed-time graph represents the distance travelled by the object.
2. Slope of velocity time graph represents the acceleration of the object.
Calculation
Distance travelled
s = area under speed time graph
= \frac{1}{2} 10.15 + 10. 15 + \frac{1}{2} (15 + 25).10 + \frac{1}{2} .20.25=2110.15+10.15+21(15+25).10+21.20.25
= 5 \times 15 + 10 \times 15 + 20 \times 10 + 10 \times 25=5×15+10×15+20×10+10×25
75 + 150 + 200 + 25075+150+200+250
675 \: m675m
To find maximum acceleration, let us estimate acceleration at the time intervals (0,10), (10, 20), (20,30), (30,50)
0≤ t < 10 a = slope = 15/10 = 1.5 m/s²
10≤ t < 20 a = 0/10 = 0 m/s²
20 ≤ t < 30 a = 10/10 = 1 m/s²
30 ≤ t < 50 a = -25/20 = -1.25 m/s²
Hence maximum acceleration of the care is 1.5 m/s².
semoga bermanfaat:)
10. (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
11. Solve the absolute value inequality. Express the answer using interval notation.6 – |2x + 3| < 5
Jawab:
Penjelasan dengan langkah-langkah:
jika |a| < b maka - b <x < b
soal
6 – |2x + 3| < 5
- |2x + 3| < 5 - 6
- |2x + 3| < - 1
|2x + 3 > 1
2x + 3 > 1 atau 2x + 3 < - 1
2x > 2 atau 2x < - 4
x > 1 atau x < - 2
HP x = { x < -2 atau x > 1 }
12. Diagram 2 shows the graph of the quadratic function f(x)= a(x+1)² +8+2k where a and k are constants.a) State, (i) the range of values of a, (ii) the equation of the axis of symmetry of the curve. (b) Find the value of k.
Jawab:
Penjelasan dengan langkah-langkah:
[tex]f(x) = a(x+1)^2+8+2k[/tex]
[tex]f'(x) = 0 = 2a(x+1) \to a = 0\cup x = -1 \to x = -1, a\neq 0\\f(-1) = 12 = a(0)^2+8+2k\to k = 2\\f(x) = a(x+1)^2+12[/tex]
a)
[tex]f''(x) \equiv 2a > 0\to \boxed{\boxed{a > 0}}[/tex]
b)
[tex]f(x) = a(x+1)^2+12 = a(x-(-1))^2+12\to \boxed{\boxed{x_p = -1}}[/tex]
c)
[tex]f'(x) = 0 = 2a(x+1) \to a = 0\cup x = -1 \to x = -1, a\neq 0\\f(-1) = 12 = a(0)^2+8+2k\to \boxed{\boxed{k = 2}}[/tex]
13. 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°
14. find the value of g(-10) for this function.
The value of g(-10) for the function is: -20
Explanation:
Based on the question we know that formula of the function is:
[tex]g(x) = \frac{ {x}^{2} }{ - 5} [/tex]
Now, we need to know the value of g(-10) for the function.
Solution:
[tex]g(x) = \frac{ {x}^{2} }{ - 5} [/tex]
=> [tex]g(-10) = \frac{ {(-10)}^{2} }{ - 5} [/tex]
=> [tex]g(-10) = \frac{100}{ - 5} [/tex]
=> [tex]g(-10) = -20[/tex]
So, the value of g(-10) is -20.
Hopefully can help you:)
DetailsforAnswer:
Subject:Mathematics
Class:11
Category:Composite Functions and Invers
CodeofQuestion:2
CodeofCategorization:11.2
Keywords:Composition, Union, Composite Functions, g(x), f(x)
15. 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
16. find the value of f(-1)for this function.
Jawaban:
8
Penjelasandenganlangkah-langkah:
2 x -1 x -1 x -1 + (7 x -1) = 8
Jadi lambang X disoal tersebut diganti -1
f ( x ) = 2x³ - 7x
f ( - 1 ) = 2 ( - 1 )³ - 7 ( - 1 )
= 2 ( - 1 ) - ( - 7 )
= - 2 + 7
= 7 - 2
=5
17. 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
18. 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.
19. 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
20. the value of the function formula of h(x)=ax+9.The value of function h for x=3 is -6
.............................h(x)=ax+9
h(-3)=ax+9=-6
=a(-3)+9=6
=-3a+9=6
jika ingin mencari a, berarti :
=-3a+9=6
=-3a=6-9
=-3a=-3
=a=1
maaf jika salah
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