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3 years ago

9

Solve the equation - 7s-9 = - 37 for s

2 answers:

Ksju [112]3 years ago

7 0

Answer: s = 4

Step-by-step explanation:

frosja888 [35]3 years ago

4 0

Answer:

s = 4

Step-by-step explanation:

- 7s - 9 = - 37

- 7s = 9 - 37

- 7s = - 28

7s = 28

s = 28/7

s = 4

Thus, The value of s is 4

<u>-TheUnknown</u><u>S</u><u>cientist</u>

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Law Incorporation [45]

Recall the binomial theorem.

$(a+b)^n = \displaystyle \sum_{k=0}^n \binom nk a^{n-k} b^k$

1. The binomial expansion of $\left(1+\frac x3\right)^7$ is

$\left(1 + \dfrac x3\right)^7 = \displaystyle\sum_{k=0}^7 \binom 7k 1^{7-k} \left(\frac x3\right)^k = \sum_{k=0}^7 \binom 7k \frac{x^k}{3^k}$

Observe that

$k = 1 \implies \dbinom 71 \left(\dfrac x3\right)^1 = \dfrac73 x$

$k = 2 \implies \dbinom 72 \left(\dfrac x3\right)^2 = \dfrac73 x^2$

When we multiply these by $8-9x$ ,

• $8$ and $\frac73 x^2$ combine to make $\frac{56}3 x^2$

• $-9x$ and $\frac73 x$ combine to make $-\frac{63}3 x^2 = -21x^2$

and the sum of these terms is

$\dfrac{56}3 x^2 - 21x^2 = \boxed{-\dfrac73 x^2}$

2. The binomial expansion is

$\left(2a - \dfrac b2\right)^8 = \displaystyle \sum_{k=0}^8 \binom 8k (2a)^{8-k} \left(-\frac b2\right)^k = \sum_{k=0}^8 \binom 8k 2^{8-2k} a^{8-k} b^k$

We get the $a^6b^2$ term when $k=2$ :

$k=2 \implies \dbinom 82 2^{8-2\cdot2} a^{8-2} b^2 = 28 \cdot2^4 a^6 b^2 = \boxed{448} \, a^6b^2$

6 0

1 year ago

F (x) = - eˣ Baseline (x - 4)<br> What is(are) the critical point(s) of f?

Ber [7]

Answer

given,

$f(x) = \dfrac{-e^x}{x - 4}$

to find the critical point of the given expression

fist differentiating the function

$f'(x) = -\dfrac{(x-4)e^x+ e^x}{(x - 4)^2}$

$f'(x) = \dfrac{-(x-4)e^x- e^x}{(x - 4)^2}$

$f'(x) = \dfrac{-e^x(x-3)}{(x - 4)^2}$

now equating differential equation to zero

$\dfrac{e^x(-x+3)}{(x - 4)^2}=0$

$e^x(-x+3)=0$

now,

-x + 3 = 0 and eˣ ≠ 0

x = 3

the critical number will be equal to x = 3

$y = \dfrac{-e^3}{3 - 4}$

$y =e^3$

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4 years ago

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katen-ka-za [31]

Answer:

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A diver went 37.9 feet below the surface of the ocean, and then 12.4 feet further down, he then rose 8.16 feet. Write and solve

Anuta_ua [19.1K]

I think the correct answer 25.4

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