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2 years ago

Find the vertex of the quadratic function

Mathematics

1 answer:

Galina-37 [17]2 years ago

8 0

Answer:

(1.5,2.5)

Step-by-step explanation:

f(x) = 2x^2 - 6x + 7

Take the first derivative and set it equal to 0 (the slope is 0 at the vertex)

f'(x) = 4x -6

0 = 4x - 6

4x = 6

x = 3/2 or 1.5

If x = (3/2), then y = 2(3/2)^2 - 6(3/2) + 7

y = 2(9/4) - 18/2 + 7

y = (9/2) - 2

y = 2.5

See attached graph.

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How do u divide polynomials

neonofarm [45]

Try this suggested example.

PS. the 1st step is marked with red, the 2d step - with green, the 3d step - with blue colours, then the final step is marked with orange.

7 0

4 years ago

Read 2 more answers

8.2.AP-7

siniylev [52]

Answer:

c ≈ 40

Step-by-step explanation:

Using the sine ratio in the right triangle

sin40° = $\frac{opposite}{hypotenuse}$ = $\frac{BC}{AC}$ = $\frac{26}{c}$ ( multiply both sides by c )

c × sin40° = 26 ( divide both sides by sin40° )

c = $\frac{26}{sin40}$ ≈ 40 ( to the nearest whole number )

7 0

3 years ago

Wendy bought 7 bags. Each bag costs the same amount. She paid the cashier $100 and received g dollars as change. What was the co

natima [27]

There is some info missing to be able to solve.

7 0

3 years ago

Determine the amplitude (A), period (P), and phase shift (PS) of the function f(x)= 3sin(x-4)+9

Tpy6a [65]

ANSWER

D.
$A=3,P=2\pi,PS=(4,9)$

EXPLANATION

The given function is

$f(x) = 3 \sin(x - 4) + 9$

Comparing to the general form of a trigonometric sine function,

$f(x) = A \sin(Bx-C)+D$

$A=3$
The amplitude is absolute value of A

$|A| = |3| = 3$

$B=1$

The period is given by

$p = \frac{2\pi}{ B}$

$p = \frac{2\pi}{ 1} = 2\pi$

$C=4$

is a shift to the right of 4 units.

and

$D=9$

is an upward shift of 9 units

Therefore the phase shift is (4,9).

The correct answer is D

6 0

3 years ago

Rewrite 118 as a fraction in lowest terms.

Gnom [1K]

Last choice 1 9/50

118/100 =

(2 × 59)/(22 × 52) =

((2 × 59) ÷ 2) / ((22 × 52) ÷ 2) =

59/(2 × 52) =

59/50

Then

59 ÷ 50 = 1 and remainder = 9 =>

59 = 1 × 50 + 9 =>

59/50 =

(1 × 50 + 9) / 50 =

1 + 9/50 =

1 9/50

3 0

3 years ago