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sweet-ann [11.9K]
2 years ago
13

Write the equation x = -2/7y + 3/4 in standard form

Mathematics
1 answer:
babunello [35]2 years ago
3 0
Standard form is presented as Ax + By = C

all you need to do here is move the y value over to the side with the x value.

so,

x + 2/7y = 3/4
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What is 7 3/4 + 1 3/8?
ANTONII [103]

Answer: 9.125

Step-by-step explanation:

hope this helped :)

5 0
3 years ago
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Question part points submissions used use newton's method with the specified initial approximation x1 to find x3, the third appr
serious [3.7K]

Set f(x)=2x^3-3x^2+2. Find the tangent line \ell_1(x) to f(x) at the point when x=x_1:

f'(x)=6x^2-6x\implies f'(x_1)=12 (slope of \ell_1)

\implies\ell_1(x)=12(x-x_1)+f(x_1)=12(x+1)-3=12x+9

Set x_2=-\dfrac9{12}, the root of \ell_1(x). The tangent line \ell_2(x) to f(x) at x=x_2 has slope and thus equation

f'(x_2)=\dfrac{63}8\implies\ell_2(x)=\dfrac{63}8\left(x+\dfrac9{12}\right)-\dfrac{17}{32}=7x+\dfrac{151}{32}

which has its root at x_3=-\dfrac{151}{224}\approx-0.6741.

(The actual value of this root is about -0.6777)

5 0
3 years ago
According to the Sleep Foundation, the average night's sleep is 6.8 hours (Fortune, March 20, 2006). Assume the standard deviati
vivado [14]

Let X be the random variable for the time a given person from the population spends sleeping. With X\sim\mathcal N(6.8,0.4^2) we have

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where Z\sim\mathcal N(0,1^2).

P(X\le6)=P\left(\dfrac{X-6.8}{0.4}\le\dfrac{6-6.8}{0.4}\right)=P(Z\le-2)\approx0.0228

P(7

Rounded to the nearest whole number, that comes out to about 31%.

5 0
3 years ago
Find the number of distinguishable permutations of the letters m, i, s, s, i, s, s, i, p, p, i.
Tatiana [17]

Solution:

we have been asked to find the number of distinguishable permutations of the letters m, i, s, s, i, s, s, i, p, p, i.

Here we can see

m appears 1 time.

i appears 4 times.

S appears 4 times.

p appears 2 times.

Total number of letters are 11.

we will divide the permutation of total number of letters by the permutation of the number of each kind of letters.

The number of distinguishable permutations=\frac{11!}{1!2!4!4!} \\

Hence the number of distinguishable permutations=\frac{11!}{1!2!4!4!}=34650 \\

4 0
3 years ago
What is the value of f(x) = 2 • 2x for f(–2)?
Roman55 [17]

Answer:

0.0625

Step-by-step explanation:

because the other answer is wrong.

(and bad) :)

6 0
3 years ago
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