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Brilliant_brown [7]
3 years ago
7

Find the particular equation of quadratic function containing (-2,-11) (4,13) and (6,29)

Mathematics
1 answer:
Firlakuza [10]3 years ago
6 0
F(x) = a*x^2 + b*x + c; where a is not 0;
f(-2) = -11 => 4a -2b + c = -11;
f(4) = 13 => 16a +4b + c = 13;
f(6) = 29 => 36a + 6b + c = 29;
You must find a, b, c;
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U will be made brainiest if this answer is right
Daniel [21]

Answer:

x= -7

Step by Step Explanation:

We can write them both like functions like this

A= 5x- 4

B= 3x+ 8

The output of A will be three times the output of B

A=3b

We replace with the functions

5x-4= 3

We solve for x

5x= -4= 9x + 24

5x- 9x= 24 + 4

-4x= 28

x= 28 - 4

x= -7

The output that makes the out put of A 3 times the output of B is -7

Hope it helped

4 0
3 years ago
Area of Composed Figures - Quiz - Level
lakkis [162]

Answer:

not sure no clue because I have no clue what it is I was just saying please  i dont understand

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
The midpoint of the line segment from P1 to P2 is (-6,5). If P1=(-9,7), what is P2?
PolarNik [594]

Let point O be the midpoint of a segment P₁P₂. Then point O has coordinates (-6,5). You also know coordinates (-9,7) of point P₁.

Use formula for midpoint's coordinates:

x_O=\dfrac{x_{P_1}+x_{P_2}}{2} \text{  and  } y_O=\dfrac{y_{P_1}+y_{P_2}}{2}.

Substituting known coordinates, you get:

-6=\dfrac{-9+x_{P_2}}{2} \text{  and  } 5=\dfrac{7+y_{P_2}}{2}.

Thus,

x_{P_2}=-6\cdot 2+9=-12+9=-3,\\ \\y_{P_2}=5\cdot 2-7=10-7=3.

Answer: P_2(-3,3).

6 0
3 years ago
Read 2 more answers
2. The density of a liquid is 8.03 X 10-1 kilogram per liter. What is the
Liula [17]

Answer:

m = 80300 kg

Step-by-step explanation:

Data

m = ?

V = 100 000 l

d = 8.03 x 10⁻¹

Formula

d = m/V

clear m from the equation

m = dV

substitute values

m = 8.03 x 10⁻¹ x 100 000 = 80300 kg

6 0
3 years ago
A box with a square base and top is made with a cardboard that costs 0.3 cents per cm² . The base is double layered for reinforc
stich3 [128]

Answer:

Length = 10 cm

Width = 10 cm

Height = 12 cm

Step-by-step explanation:

Cost of a cardboard with a square base and top = 0.3 cents per cm²

0.3 cents = $0.003 (0.3/100)

Total cost for material = $3.6

The volume of the box = $3.6/$0.003 = 1,200cm³

The formula for volume = length × width × height.

Since the base and top are square, the length and width must have equal sizes.

Let us assume that

length = 10cm

width = 10cm

these will give an area of 100cm².

Volume = length * width * height

= Area * height

= 10 * 10 * height

= 100cm² * height

Therefore, the height will be the volume divided by area

= 1,200cm³/100cm²

= 12cm

Volume = 10 * 10 * 12

= 1,200cm³

5 0
3 years ago
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