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3 years ago

Five more than the product of a number and 4 is equal to 8

Mathematics

1 answer:

Maru [420]3 years ago

3 0

Answer:

$4x+5=8$

$x=\frac{3}{4}$

Step-by-step explanation:

Let

x ---> the number

we know that

The algebraic expression is equal to multiply the number by 4, add 5 and equal 8

$4x+5=8$

Solve for x

subtract 5 both sides

$4x=8-5\\4x=3$

Divide by 4 both sides

$x=\frac{3}{4}$

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A line segment has a midpoint of (1, 3/2). If one endpoint is (4,3), what is the other endpoint?

andrew11 [14]

Answer:

(-2, 0)

Step-by-step explanation:

midpoint formula :)

8 0

3 years ago

SOLUTION We observe that f '(x) = -1 / (1 + x2) and find the required series by integrating the power series for -1 / (1 + x2).

Ann [662]

Answer:

Required series is:

$\int{\frac{-1}{1+x^{2}} \, dx =-x+\frac{x^{3}}{3}-\frac{x^{5}}{5}+\frac{x^{7}}{7}+.....$

Step-by-step explanation:

Given that

$f'(x) = -\frac{1}{1 + x^{2}}$ ---(1)

We know that:

$\frac{d}{dx}(tan^{-1}x)=\frac{1}{1+x^{2}}$ ---(2)

Comparing (1) and (2)

$f'(x)=-(tan^{-1}x)$ ---- (3)

Using power series expansion for $tan^{-1}x$

$f'(x)=-tan^{-1}x=-\int {\frac{1}{1+x^{2}} \, dx$

$= -\int{ \sum\limits^{ \infty}_{n=0} (-1)^{n}x^{2n}} \, dx$

$= -\sum{ \int\limits^{ \infty}_{n=0} (-1)^{n}x^{2n}} \, dx$

$=-[c+\sum\limits^{ \infty}_{n=0} (-1)^{n}\frac{x^{2n+1}}{2n+1}]$

$=C+\sum\limits^{ \infty}_{n=0} (-1)^{n+1}\frac{x^{2n+1}}{2n+1}$

$=C-x+\frac{x^{3}}{3}-\frac{x^{5}}{5}+\frac{x^{7}}{7}+.....$

$tan^{-1}(0)=0 \implies C=0$

Hence,

$\int{\frac{-1}{1+x^{2}} \, dx =-x+\frac{x^{3}}{3}-\frac{x^{5}}{5}+\frac{x^{7}}{7}+.....$

7 0

3 years ago

(1,3),(2,6),(3,9),(4,12)

IgorC [24]

Answer:

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

The following two parallelograms are drawn below. Find the measurement of FE or the variable “x”

labwork [276]

Answer:

x=15 in.

Step-by-step explanation:

If the parallelograms are equal (I assume they are), then the ratios are the same. 12 is 3/4 of 16. 3/4 of 20 is 15.

4 0

2 years ago

Find the values of x and y

vitfil [10]

Hi there!

$\large\boxed{y = 12, x = 3}$

The two trapezoids are similar, so we can determine a common scale factor:

OL/UR = NM/TS

9/3 = 6/2

3 = 3

Trapezoid ONML is 3x larger than UTSR, so:

RS = 4, LM = y

3RS = LM

3 · 4 = y = 12.

Find x using the same method:

3UT = ON

3(2x+1) = 4x + 9

6x + 3 = 4x + 9

2x = 6

x = 3.

4 0

3 years ago