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2 years ago

Rhett was solving the algebraic proof below. What reason is missing from his

Mathematics

1 answer:

klemol [59]2 years ago

3 0

Answer:

Adding the variables

Step-by-step explanation:

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Find the x-coordinate where the graph of the function f(x) = e(–sinx) has a slope of 0

balandron [24]

$y = e^{-sin(x)}$

$y' = -e^{-sin(x)}(cos(x))$

$0 = -e^{-sin(x)}(cos(x))$

When is cos (x) = 0? <em>at 90° (aka π/2)</em>

Answer: $\frac{\pi}{2}$

4 0

3 years ago

Read 2 more answers

{x + 3y =- 5<br> {9x + 3y = 3

LiRa [457]

Answer:

1. y-intercept(s):

(0,−53)

x-intercept(s):

(−5,0)

2. x-intercept(s):

(13,0)

y-intercept(s):

(0,1)

Step-by-step explanation:

7 0

3 years ago

Ten of 16 students in Nyack's class are girls. His teacher selected two

viktelen [127]

I can't understand this after "happening is" but let's do it unaided.

The number of ways to draw a boy first is 6.

Given that, the number of ways to draw a girl next is 10.

That's out of a total of 16 x 15 length two permutations of 16 things

$p = \dfrac{6 \times 10}{16(15)} = 1/4$

Answer: 1/4

7 0

2 years ago

What is the 51st term of the arithmetic sequence 29,9,-11

valina [46]

Answer:

-951

Step-by-step explanation:

an=a1+(n−1)d

\begin{gathered}29 = a_1 + (1-1)d\\29 = a_1\\9 = 29 + (2-1)d\\9 = 29 + d\\d = -20\\a_n = 29 -20 (n-1)\\a_n = 29 - 20n+20\\a_n = -20n + 49\\\\a_51 = -20(51) + 49 = -951\end{gathered}29=a1+(1−1)d29=a19=29+(2−1)d9=29+dd=−20an=29−20(n−1)an=29−20n+20an=−20n+49a51=−20(51)+49=−951

6 0

2 years ago

Factorise x^2/4-y^2/4

Nuetrik [128]

Answer:

$\large\boxed{\left(\dfrac{x}{2}-\dfrac{y}{2}\right)\left(\dfrac{x}{2}+\dfrac{y}{2}\right)=\dfrac{x-y}{2}\cdot\dfrac{x+y}{2}}$

Step-by-step explanation:

$\dfrac{x^2}{4}-\dfrac{y^2}{4}=\dfrac{x^2}{2^2}-\dfrac{y^2}{2^2}\qquad\text{use}\ \left(\dfrac{a}{b}\right)^n=\dfrac{a^n}{b^n}\\\\=\left(\dfrac{x}{2}\right)^2-\left(\dfrac{y}{2}\right)^2\qquad\text{use}\ (a-b)(a+b)=a^2-b^2\\\\=\left(\dfrac{x}{2}-\dfrac{y}{2}\right)\left(\dfrac{x}{2}+\dfrac{y}{2}\right)=\dfrac{x-y}{2}\cdot\dfrac{x+y}{2}$

3 0

2 years ago