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In Matematika / Sekolah Menengah Atas | 2025-07-03

Jika pesan kue 130.000 dan harus Dp 50 persen. Berati berapa rupiah Dp yang hrus dibayar

Asked by Nadyaulfah9430

Answer (3)

The quadratic function that models the path of the arrow, uses quadratic regression to solve a system of equations with the given points. Then, use the quadratic function to find the x-coordinate where the arrow hits the ground, the height at which the center of the target should be for the arrow to hit it at X = 100, and the x-coordinate where the center of the target should be for the arrow to hit it at y = 2.98.
A. The quadratic function in standard form, you can use quadratic regression. The general form of a quadratic function is y = a x 2 + b x + c Using the given points (30, 6), (60, 7), and (100, 4), you can set up a system of three equations and solve for the coefficients a, b, and c. Let's denote the points as (x₁, y₁), (x₂, y₂), and (x₃, y₃):

For ( 30 , 6 ) : 6 = a ( 30 ) 2 + b ( 30 ) + c

For ( 60 , 7 ) : 7 = a ( 60 ) 2 + b ( 60 ) + c

For ( 100 , 4 ) : 4 = a ( 100 ) 2 + b ( 100 ) + c


Now, you can solve this system of equations to find the values of a, b, and c.
B. To find when the arrow hits the ground (y = 0), set y = 0 in the quadratic function and solve for x. This will give you the x-coordinate where the arrow hits the ground.
C. If the center of the target is at X = 100, substitute x = 100 into the quadratic function to find the height y. This will give you the height at which the center of the target should be for the arrow to hit it.
D. If the center of the target is at y = 2.98, set y = 2.98 in the quadratic function and solve for x. This will give you the x-coordinate where the center of the target should be for the arrow to hit it.
Complete question is:
You shoot an arrow set a target. The parabolic path of the arrow passes through the points shown in table.
X. Y

6

7

4


A. Find a quadratic function in standard form that models the path of the arrow. Then graph the function. Use quadratic regression for this step. The three points satisfy a quadratic function of form y= ax^2 +box +c
B.if the y- value represents the height above the ground, for what value x would the arrow hit the ground if you miss the target? Describe your steps and interpret the X value found.
C. If the center of the target is at X=100, at what height should the center be for your arrow to hit it? Describe your steps and graph and label this point on the parabola.
D. If the center of the target is at height y= 2.98, at what value of X should the center be for the arrow to hit it? Describe your steps. Graph and label this point on the parabola.

Answered by Srinivasira | 2024-06-24

To model the arrow's path, we determined the quadratic function approximately as y = − 0.00155 x 2 + 0.0675 x − 3.21 using the given points. This function can be graphed to visualize the trajectory of the arrow. Further calculations can find where the arrow hits the ground and the target heights.
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Answered by Srinivasira | 2024-12-24

DitanyaHarga kue Rp 130.000DitanyaDp yang harus dibayar jika 50%Dijawab[tex]130.000 \times 50\% \\ = 130.000 \times \frac{50}{100} \\ \\ = \frac{6.500.000}{100} = 65.000[/tex]KesimpulanMaka jawabannya Rp 65.000,00

Answered by aquila0152 | 2025-07-04