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pishuonlain [190]
3 years ago
10

Solve using the quadratic formula... 9x2 - 4 + 7x

Mathematics
2 answers:
Evgen [1.6K]3 years ago
8 0

Answer:

x=0.4, x=-1.2

Step-by-step explanation:

jeka943 years ago
3 0

Answer:

x=-\frac{7}{18}+\frac{\sqrt[]{193} }{18} which is the same as x=0.38

or

x=-\frac{7}{18}-\frac{\sqrt[]{193} }{18} which is the same as x=-1.16

Step-by-step explanation:

9x^2-4+7x=0

Rearranging...

9x^2+7x-4=0

a=9

b=7

c=-4

x=\frac{-b\frac{+}{}\sqrt[]{b^2-4ac}  }{2a}

x=\frac{-7\frac{+}{}\sqrt[]{(7)^2-4(9)(-4)}  }{2(9)}

x=\frac{-7\frac{+}{}\sqrt[]{49+144}  }{18}

x=\frac{-7\frac{+}{}\sqrt[]{193}  }{18}

----------------------------------------

x=-\frac{7}{18}+\frac{\sqrt[]{193} }{18}

or

x=-\frac{7}{18}-\frac{\sqrt[]{193} }{18}

-------------------------------------------

If you need decimals, you can solve;

x=0.38\\

or

x=-1.16

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Calculus hw, need help asap with steps.
nikdorinn [45]

Answers are in bold

S1 = 1

S2 = 0.5

S3 = 0.6667

S4 = 0.625

S5 = 0.6333

=========================================================

Explanation:

Let f(n) = \frac{(-1)^{n+1}}{n!}

The summation given to us represents the following

\displaystyle \sum_{n=1}^{\infty} \frac{(-1)^{n+1}}{n!}=\sum_{n=1}^{\infty} f(n)\\\\\\\displaystyle \sum_{n=1}^{\infty} \frac{(-1)^{n+1}}{n!}=f(1) + f(2)+f(3)+\ldots\\\\

There are infinitely many terms to be added.

-------------------

The partial sums only care about adding a finite amount of terms.

The partial sum S_1 is the sum of the first term and nothing else. Technically it's not really a sum because it doesn't have any other thing to add to. So we simply say S_1 = f(1) = 1

I'm skipping the steps to compute f(1) since you already have done so.

-------------------

The second partial sum is when things get a bit more interesting.

We add the first two terms.

S_2 = f(1)+f(2)\\\\S_2 = 1+(-\frac{1}{2})\\\\S_2 = \frac{1}{2}\\\\S_2 = 0.5\\\\\\

The scratch work for computing f(2) is shown in the diagram below.

-------------------

We do the same type of steps for the third partial sum.

S_3 = f(1)+f(2)+f(3)\\\\S_3 = 1+(-\frac{1}{2})+\frac{1}{6}\\\\S_3 = \frac{2}{3}\\\\S_3 \approx 0.6667\\\\\\

The scratch work for computing f(3) is shown in the diagram below.

-------------------

Now add the first four terms to get the fourth partial sum.

S_4 = f(1)+f(2)+f(3)+f(4)\\\\S_4 = 1+(-\frac{1}{2})+\frac{1}{6}-\frac{1}{24}\\\\S_4 = \frac{5}{8}\\\\S_4 \approx 0.625\\\\\\

As before, the scratch work for f(4) is shown below.

I'm sure you can notice by now, but the partial sums are recursive. Each new partial sum builds upon what is already added up so far.

This means something like S_3 = S_2 + f(3) and S_4 = S_3 + f(4)

In general, S_{n+1} = S_{n} + f(n+1) so you don't have to add up all the first n terms. Simply add the last term to the previous partial sum.

-------------------

Let's use that recursive trick to find S_5

S_5 = [f(1)+f(2)+f(3)+f(4)]+f(5)\\\\S_5 = S_4 + f(5)\\\\S_5 = \frac{5}{8} + \frac{1}{120}\\\\S_5 = \frac{19}{30}\\\\S_5 \approx 0.6333

The scratch work for f(5) is shown below.

7 0
2 years ago
Trey is solving his equation, and the last line of his work is "-2 = 2". What does this mean?
oksian1 [2.3K]

Answer:

it means that his equation is not true.

Step-by-step explanation:

-2=2 is obviously incorrect, so we must assume that the equation isn't true.

3 0
3 years ago
Solve the equation
Vikki [24]

Answer:

x ≈ - 5.32, x ≈ 1.32

Step-by-step explanation:

Given

x² + 4x - 7 = 0 ( add 7 to both sides )

x² + 4x = 7

To complete the square

add ( half the coefficient of the x- term )² to both sides

x² + 2(2)x + 4 = 7 + 4

(x + 2)² = 11 ( take the square root of both sides )

x + 2 = ± \sqrt{11} ( subtract 2 from both sides )

x = - 2 ± \sqrt{11}

Thus

x = - 2 - \sqrt{11} ≈ - 5.32 ( to 2 dec. places )

x = - 2 + \sqrt{11} ≈ 1.32 ( to 2 dec. places )

4 0
3 years ago
Lesson 9: Please Help Me! NOTE: There Are 5 Questions!
Vikki [24]
Radius is MN
Cord is TR
Hope this helps
Only two questions came up
6 0
3 years ago
Please help me thank you
KengaRu [80]

Answer:

false buddy that is the answer

6 0
2 years ago
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