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3 years ago

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P.1.3b Four candy stores are competing with each other. Which store offers the best buy for candy? A.) Sweet Store: 12 pack for

$3.00 B.) Delicious Treats: 22 pack for $4.62 C.) Sugar Factory: 18 pack for $5.40 D.) Chocolate Shop: 36 pack for $7.20

1 answer:

marin [14]3 years ago

3 0

Answer:

c

Step-by-step explanation:

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How do I factor x^4-5x^2+6?

Vilka [71]

Answer:

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

Step-by-step explanation:

So we have the expression:

$x^4-5x^2+6$

And we wish to factor it.

First, let's make a substitution. Let's let u be equal to x². Therefore, our expression is now:

$=u^2-5u+6$

This is a technique called quadratic u-substitution. Now, we can factor in this form.

We can use the numbers -3 and -2. So:

$=u^2-2u-3u+6$

For the first two terms, factor out a u.

For the last two terms, factor out a -3. So:

$=u(u-2)-3(u-2)$

Grouping:

$=(u-3)(u-2)$

Now, substitute back the x² for u:

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

And this is the simplest form.

And we're done!

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3 years ago

Find an equation for the inverse of the relation y=6x-3. Show how you found the inverse equation.

Elis [28]

Hi there! The answer is y = 1/6x + 1/2

To find the inverse function x and y need to switch places.

$y = 6x - 3 \\ x = 6y - 3$

Now rewrite the equation, until it will be in standard form (slope-intercept form) again.
$x = 6y - 3$

Add 3.
$x + 3 = 6y$

Switch sides.
$6y = x + 3$

Divide both sides by 6.
$y = \frac{1}{6} x+ \frac{3}{6} \\ y = \frac{1}{6} x + \frac{1}{2}$

Hence, the answer is y = 1/6x + 1/2.
~ Hope this helps you!

4 0

3 years ago

dean counted 10 red cards, 10 black catds, and 20 blue cards in a deck of cards. what is the ratio of red cards to all cards?

miv72 [106K]

Answer:

10:40

Step-by-step explanation:

10+10+20=40

10 red cards

4 0

3 years ago

During summer vacation, Brooke read, on average, 6 pages per night. Once she returned to school, she averaged 9 pages per night.

Monica [59]

There is a 50% increase. 6 x 1.5 = 9

4 0

3 years ago

A ball is thrown upward from ground level. Its height h, in feet, above the ground after t seconds is h-48t -16t^2.

Marat540 [252]

Answer:

36 feet.

Step-by-step explanation:

We have been given that a ball is thrown upward from ground level. Its height h, in feet, above the ground after t seconds is $h(t)=-48t -16t^2$ . We are asked to find the maximum height of the ball.

We can see that our given equation is a downward opening parabola, so its maximum height will be the vertex of the parabola.

To find the maximum height of the ball, we need to find y-coordinate of vertex of parabola.

Let us find x-coordinate of parabola using formula $x=-\frac{b}{2a}$ .

$x=-\frac{-48}{2(-16)}$

$x=-\frac{48}{32}$

$x=-\frac{3}{2}$

So, the x-coordinate of the parabola is $-\frac{3}{2}$ . Now, we will substitute $x=-\frac{3}{2}$ in our given equation to find y-coordinate of parabola.

$h(t)=-48t -16t^2$

$h(-\frac{3}{2})=-48(-\frac{3}{2})-16(-\frac{3}{2})^2$

$h(-\frac{3}{2})=-24(-3)-16(\frac{9}{4})$

$h(-\frac{3}{2})=72-4*9$

$h(-\frac{3}{2})=72-36$

$h(-\frac{3}{2})=36$

Therefore, the maximum height of the ball is 36 feet.

3 0

3 years ago