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kenny6666 [7]
2 years ago
8

2. Write a quadratic function that has -intercepts (- 3, 0) and (4, 0) and passes through the point (5, 8)

Mathematics
1 answer:
Reptile [31]2 years ago
5 0

Answer:

f(x)=x^2-x-12

Step-by-step explanation:

<u>Quadratic Function</u>

Standard Form of Quadratic Function

The standard representation of a quadratic function is:

f(x)=ax^2+bx+c

where a,b, and c are constants.

When the zeros of f (x1 and x2) are given, it can be written as:

f(x)=a(x-x1)(x-x2)

Where a is a constant called the leading coefficient.

We are given the two roots of f: x1=-3 and x2=4, thus:

f(x)=a(x+3)(x-4)

We also know that f(5)=8, thus:

f(5)=a(5+3)(5-4)=8

Operating:

a(8)(1)=8

Solving:

a=1

The function is:

f(x)=1(x+3)(x-4)

Operating:

\boxed{f(x)=x^2-x-12}

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A ship sails 250km due North qnd then 150km on a bearing of 075°.1)How far North is the ship now? 2)How far East is the ship now
algol [13]

The answers to the bearing problems are listed below:

  1. How far North is the ship now ___________ 38.82 km
  2. How far East is the ship now ____________ 144.89 km
  3. How far is the ship from its starting point_____241.48 km
  4. On what bearing is it now from its original position____035°

<h3>Meaning of bearing.</h3>

Bearing can defined as branch of mathematics that describes the accurate location of an object at any point in time.

<h3>Analysis</h3>

The answers to the problem from 1-3 can be gotten by using sin and cos to find the missing sides.

The final value can be gotten using the cosine rule

4). bearing from original position = cos^{-1} (a^{2} + b^{2}﹣c^{2}) / 2ab = 35°

In conclusion, the answers for each is given in the list above.

Learn more about Bearing: brainly.com/question/24142612

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8 0
2 years ago
A. The solution is (−2,−3)
Cerrena [4.2K]

9514 1404 393

Answer:

  D.  (-3, -2)

Step-by-step explanation:

The equations have different coefficients for x and y, so will have one solution. The solutions offered are easily tested in either equation.

Using (x, y) = (-2, -3):

  x = y -1  ⇒  -2 = -3 -1 . . . . False

Using (x, y) = (-3, -2):

  x = y -1  ⇒  -3 = -2 -1 . . . .True

  2x = 3y  ⇒  2(-3) = 3(-2) . . . . True

The solution is (-3, -2).

__

If you'd like to solve the set of equations, substitution for x works nicely.

  2(y -1) = 3y

  2y -2 = 3y . . eliminate parentheses

  -2 = y . . . . . . subtract 2y

  x = -2 -1 = -3

The solution is (x, y) = (-3, -2).

5 0
3 years ago
Solve the following eqation: 4m - 12 = 0
OLEGan [10]

Answer:

m=3

Step-by-step explanation:

Move the 12 over to the other side so it will be 4m=12, then divide each side by 4 to get m=3

8 0
2 years ago
Read 2 more answers
<img src="https://tex.z-dn.net/?f=-24%5Cleq%203x-9" id="TexFormula1" title="-24\leq 3x-9" alt="-24\leq 3x-9" align="absmiddle" c
dybincka [34]

If your solving for x, you need to isolate/get the variable "x" by itself in the inequality:

-24 ≤ 3x - 9        First add 9 on both sides

-24 + 9 ≤ 3x - 9 + 9

-15 ≤ 3x        Then divide 3 on both sides to get "x" by itself

\frac{-15}{3} \leq \frac{3x}{3}

-5 ≤ x                  [or  x ≥ -5 if you prefer "x" to be on the left side]

8 0
3 years ago
Read 2 more answers
Serena paid $194.99 for a game system and then bought two equally-priced games. If she spent a total of $284.97, what is the pri
Nataly_w [17]
$284.99 - 4194.99 = $89.98
$89.98 ÷ 2 = $ 44.99

p = $44.99 for each game.
3 0
3 years ago
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