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3 years ago

Find the x-coordinate of the vertex of a parabola if the x-intercepts are (3,0) and (-9,0)

Mathematics

1 answer:

madam [21]3 years ago

8 0

Answer:

x = -3

Step-by-step explanation:

The vertex lies on the axis of symmetry, whose x-coordinate is halfway between -9 and 3: x = -3

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Find the average rate of change of f(x) = 4x² – 3 from 3 to 9.

Lina20 [59]

Answer:

Step-by-step explanation:

Given:

$f(x) = 4x^2 - 3$

Required:

Average range of change from 3 to 9

SOLUTION:

Step 1:

Find f(3) and f(9):

To find f(3), replace x with 3 in the given function

$f(3) = 4(3)^2 - 3$

$f(3) = 4(9) - 3$

$f(3) = 36 - 3$

$f(3) = 33$

To find f(9), replace x with 9 in the given function

$f(9) = 4(9)^2 - 3$

$f(9) = 4(81) - 3$

$f(9) = 324 - 3$

$f(9) = 321$

Average rate of change = $\frac{f(b) - f(a)}{b - a}$

Where,

$a = 3, f(a) = 33$

$b = 9, f(b) = 321$

Plug in the values into the formula for average rate of change.

$= \frac{321 - 33}{9 - 3}$

$= \frac{288}{6}$

$= 44$

Average rate of change = 44

3 0

3 years ago

A quadrilateral WXYZ contains wxy where measure of wxy=92 degrees. Once rotated 270° about the origin and translated 2 units up,

Marianna [84]

Answer:

C. 92 degrees

Step-by-step explanation:

Given that the $\angle{wxy}=$ 92° which is one of the angles of the quadrilateral WXYZ

The quadrilateral is first rotated by 270° about the origin and then translated 2 units up, the new position of the quadrilateral is W'X'Y'Z'.

The shape of the quadrilateral is remained unchanged due to rotation and translation, so all the angles of the final quadrilateral W'X'Y'Z' is the same as the angles of the given quadrilateral WXYZ.

So, $\angle{w'x'y'}= \angle{wxy}$

By using the given value,

$\angle{w'x'y'}=$ 92°

Hence, option (C) is correct.

8 0

2 years ago

Solve the system of equations. -5x+6y=40;3y-8x=-46

Effectus [21]

Equation Form:

Step-by-step explanation: I have no idea why it looks like that

8 0

3 years ago

How do u get this?? I know the answer but then I don't know why they shuld divide by 2 I will mark the person who explains wit p

Greeley [361]

Answer:

10.89

Step-by-step explanation:

Circle:

C = TTD

C = TT(6.6)

C = 20.73451151

C = 20.73

Triangle:

A = bh/2

A = 6.6(3.3)/2 6.6/2=3.3

A = 21.78/2

A = 10.89

Shaded Region = 10.89

5 0

3 years ago

Merle opened a new savings account she deposited 40,000 at 10% compounded semiannually at the start of the fourth year merle dep

UNO [17]

happy first question!!!!

4 0

2 years ago