2. What if Cara also tried the rope ladder and climbed

Mathematics

1 answer:

sdas [7]3 years ago

5 0

Answer:

brainlest

cara because she climbed 2/4

Step-by-step explanation:

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Write an expression for the verbal phrase:

Andre45 [30]

Answer:

15 ÷ 2 x

Step-by-step explanation:

Since it's a expression, no answer would be needed, so you just write the way the phrase says. Let's say, "What's the quotient of three and the six times x" That would be 3÷6x

7 0

3 years ago

A recycling box has a square base with sides measuring 18 inches. The box is 16 inches tall. How much recycling can the inside o

RUDIKE [14]

The volume of a cube = length x width x height. Since they told us this box has a square base, the length and width are both 18 inches.

V = 18 x 18 x 16
V = 5184 cubic inches or in^3

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2 years ago

(X^4)-(45x^2)+324 what are the zeroes? And how many turning points?

dmitriy555 [2]

Zeroes:

We must solve

$x^4-45x^2+324=0$

To do so, we define the auxiliary variable $t=x^2$ . The equation becomes

$t^2-45t+324=0$

The quadratic formula yields the solutions

$t=9,\quad t=36$

Substituting back $t=x^2$ gives

$x^2=9 \iff x=\pm 3,\quad x^2=36 \iff x=\pm 6$

So, the zeroes are -6, -3, 3, 6.

Turning points:

Turning points are points where a function stops being increasing to become decreasing, or vice versa. Since functions are increasing when their first derivative is positive and decreasing when it's negative, turning points are points where the first derivative is zero.

We have

$f(x)=x^4-45x^2+324 \implies f'(x)=4x^3-90x$