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1 year ago

The distance between 1 - 10 1/4

Mathematics

2 answers:

jenyasd209 [6]1 year ago

7 0

9 1/4 will be your answer

Pani-rosa [81]1 year ago

5 0

The distance between 1 - 10 1/4

____________________

1 - 10 1/4 = -9 1/4

_________________________

Answer

-9 1/4

9 1/4 (in absolute value)

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Solve: a.x3+x2-8x - 12x+2 b. x3-4x2-3x + 18x-3 c. x2 + 4x + 4 d. x2 - 6x + 9

NeTakaya

<h2>Steps:</h2>

So firstly, this function is asking us to divide f(x) by g(x) so let's set that up as such:

$(\frac{f}{g})(x)=\frac{x^2-x-6}{1}\div \frac{x-3}{x+2}$

Next, remember that dividing by a number is the same as multiplying by its reciprocal. To find the reciprocal of a number, flip the numerator and denominator around. With this info, flip the second fraction to it's reciprocal and change the sign to multiplication:

$(\frac{f}{g})(x)=\frac{x^2-x-6}{1}\times \frac{x+2}{x-3}$

Next, we are going to factor x² - x - 6. Firstly, what two terms have a product of -6x² and a sum of -x? That would be -3x and 2x. Replace -x with 2x - 3x:

$(\frac{f}{g})(x)=\frac{x^2+2x-3x-6}{1}\times \frac{x+2}{x-3}$

Next, factor x² + 2x and -3x - 6 separately. Make sure that they have the same quantity on the inside of the parentheses:

$(\frac{f}{g})(x)=\frac{x(x+2)-3(x+2)}{1}\times \frac{x+2}{x-3}$

Now you can rewrite it as:

$(\frac{f}{g})(x)=\frac{(x-3)(x+2)}{1}\times \frac{x+2}{x-3}$

Next, multiply:

$(\frac{f}{g})(x)=\frac{(x-3)(x+2)^2}{x-3}$

Next, divide:

$(\frac{f}{g})(x)=(x+2)^2$

And lastly, simplify:

A good tip: $(x+y)^2=x^2+2xy+y^2$

$(\frac{f}{g})(x)=x^2+4x+4$

<h2>Answer:</h2>

The correct option is C. x² + 4x + 4.

7 0

3 years ago

When using the binomial formula, which of the following is a correct step in the expansion of (x+y)^4 ?

avanturin [10]

Here is the expansion of (x + y)n for n = 0, 1,…, 5 :

(x + y)0 = 1
(x + y)1 = x + y 
(x + y)2 = x 2 +2xy + y 2 
(x + y)3 = x 3 +3x 2 y + 3xy 2 + y 3 
(x + y)4 = x 4 +4x 3 y + 6x 2 y 2 +4xy 3 + y 4 
(x + y)5 = x 5 +5x 4 y + 10x 3 y 2 +10x 2 y 3 +5xy 4 + y 5

hopefuly this helps you understand

7 0

3 years ago

6 An account pays

Sergio039 [100]

Answer: £122.4

Step-by-step explanation:

Given

The rate of interest is 4%

The principal invested is £1500

the time period is 2 years

Compound interest is given by

$C.I.=P(1+r\%)^t-P$

put values

$C.I.=1500(1+0.04)^2-1500\\C.I.=1500[1.04^2-1]\\C.I.=1500[1.0816-1]\\C.I.=1500\times 0.0816\\C.I.=122.4$

Therefore, interest earned is £122.4

5 0

2 years ago

NEED HELP ASAP!! Graph the solution on the number line. 3(x + 3) - 2 <4 or 1 - XS-1

slava [35]

Here is the answer for the 1st one. I have a picture of the second one but I’m not sure if I can post the picture of it

7 0

3 years ago

Solve the following triangle completely.

RUDIKE [14]

Answer:

The answers is below in bold.

Step-by-step explanation:

(a) A = 180 - 25.6 - 124.4 = 30 degrees.

Next use the Sine Rule:

b / sin B = c / sin C

b / sin 25.6 = 39.2/sin 124.4

b = (39.2 * sin 25.6) / sin 124.4

b = 20.53 m.

Also

a / sin A = c / sin C

a / sin 30 = 39.2 / sin 124.4

a = (39.2 * sin 30 / sin 124.4

a = 23.75 m.

b). This is solved in a similar way to (a).

First find angle C using the sine rule.

Then you will know angle A from the 180 degree Rule.

Then you can find the length of a using the Sine Rule.

4 0

3 years ago