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3 years ago

What is factor sir 13?

Mathematics

2 answers:

Olin [163]3 years ago

7 0

13 is a prime number, so it's factors can only be 13 and 1

professor190 [17]3 years ago

5 0

Since 13 can only be divided evenly by 1 and 13 (itself), it is called a prime number.

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Ezpress 3x + 11/x² + 6x + 9<br>as partial fractions,

andreev551 [17]

Answer:

$\frac{3}{x + 3} + \frac{2}{(x+3)^2}$

Step-by-step explanation:

Given

$\frac{3x + 11}{x^2 +6x + 9}$

Required

Express as partial fraction

$\frac{3x + 11}{x^2 +6x + 9}$

Expand the numerator

$\frac{3x + 11}{x^2 +3x +3x+ 9}$

Factorize

$\frac{3x + 11}{x(x +3) +3(x+ 3)}$

Factor out x + 3

$\frac{3x + 11}{(x +3)(x+ 3)}$

$\frac{3x + 11}{(x +3)^2}$

As a partial fraction, we have:

$\frac{3x + 11}{(x +3)^2} = \frac{A}{x + 3} + \frac{B}{(x+3)^2}$

Take LCM

$\frac{3x + 11}{(x +3)^2} = \frac{A(x+3) + B}{(x + 3)^2}$

Cancel out (x + 3)^2 on both sides

$3x + 11 = A(x+3) + B$

Open bracket

$3x + 11 = Ax+3A + B$

By comparison, we have:

$Ax = 3x$ ===> $A = 3$

$3A + B = 11$

Substitute 3 for A

$3*3 + B = 11$

$9 + B = 11$

Solve for B

$B = 11-9$

$B =2$

Substitute: $A = 3$ and $B =2$ in

$\frac{3x + 11}{(x +3)^2} = \frac{A}{x + 3} + \frac{B}{(x+3)^2}$

$\frac{3x + 11}{(x +3)^2} = \frac{3}{x + 3} + \frac{2}{(x+3)^2}$

Hence, the partial fraction is:

$\frac{3}{x + 3} + \frac{2}{(x+3)^2}$

7 0

2 years ago

A supermarket sells milk in two sizes: 4-pint

Lesechka [4]

Find the unit rate by dividing price by total units:

0.98 / 4 pints = 0.245 per pint

1.46/ 6 pints = 0.243 per pint

The 6 pint size has a lower price per point so it is the better deal.

6 0

3 years ago

Read 2 more answers

A line that includes the point(4, 5)has a slope of 0 .What is its equation in slope-intercept form?

Tju [1.3M]

Answer:

y = 5

Step-by-step explanation:

y = 0x + b

5 = 0(4) + b

5 = 0 + b

5 = b

3 0

2 years ago

What formulas can you use to find the point P(x, y) along the line segment between A(x1 , y1 ) and B(x2 , y2 ) that is a fractio

sergey [27]

Answer: Walk through writing a general formula for the midpoint between two points. ... I believe you would simply find the differences in x and y from the midpoint to the one ... How would you solve a problem in which you do not know point B but are given ... the line y=x and the curve y=4x-x^2 intersect at the point p and q.

Step-by-step explanation:

7 0

3 years ago

I suck at math so I'm gunna ask a bunch of questions on this work

Nastasia [14]

It would be c plz mark me brainliest

3 0

3 years ago