MATHEMATICS HIGH SCHOOL

So the question is Subtract 8/x+3 - 5/x+2and i got (3x+1)/(x+2)(x+3)
yet the choices are
A. (8x+16)/x^2+5x+6
B. (5x+15)/x^2+5x+6
C. (3x+1)/x^2+5x+6
D. 3/x+1

Answers

Answer 1
Answer: The answer is D. 3/X+1.

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Intercepts of 9x^2+9y=81

Answers

x=0\n \n 9x^2+9y=81\n \n 9.0^2+9y=81\n \n 9y=81\n \n y=(81)/(9)\n \n \boxed{y=9}

y=0\n \n 9x^2+9.0=81\n \n 9x^2=81\n \n x^2=(81)/(9)\n \n x^2=9\n \n \boxed{x= \pm 3}

Find the constant of variation k for the direct variation 2x +6y = 0

Answers

A relationship between two variables in which one is a constant multiple of the other. The constant here is also called the constant of variation. In order to obtain this value, we manipulate the equation by isolating the variables. We do as follows:

2x +6y = 0
y = -x/3

Therefore, the constant of variation is -1/3. Hope this answers the question. Have a nice day.

Simplify -62 ÷ 12 - 2(-7).

-17
35
11
-35

Answers

I don't know if you know something called PEMDAS

Parentheses
Exponent
Multiply
Divide
Add
Subtract

So you would do the -2(-7) first giving you 14

So now we have -62/12 +14

now you would do -62/12 giving you -5.16666667

and now the equation is -5.16666667 + 14 = 8.83333333

I know for a fact, being in Calculus Honors, that what I did to simplify is correct. Using the Order of Operations, or PEMDAS (Commonly remebered as "Please Excuse My Dear Aunt Sally". It stands for "Parentheses, Exponents, Multiplication and Division, and Addition and Subtraction".) to simplify this answer is necessary.

If your teacher wrote this problem please inform him or her of Order of Operations before your classmates use it even though its wrong.

Fine the value of a.

Answers

the value of a is 12 thanks have a nice day

Answer:   a = -3

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

Work Shown:

The point (1, -3) is on the blue graph p(x) = a|x|

This means x = 1 and y = -3 pair up.

Use these two values to find 'a'

p(x) = a|x|

y = a|x|

-3 = a*|1|

-3 = a*1

-3 = a

a = -3

The negative 'a' value will apply the reflection over the x axis. The fact that |a| = 3 is larger than 1 indicates the graph is vertically stretched by a factor of 3.

Adele has 3 64-ounce cartons of orange juice and 3 48-ounce cans of apple juice. How much juice does she have altogether?

Answers

three 64 oz cartons = 3 * 64 = 192 oz
three 48 oz cans = 3 * 48 = 144 oz
192 + 144 = 336 oz <== total juice

Answer: 336 oz

Step-by-step explanation: three 64 oz cartons = 3 * 64 = 192 oz

three 48 oz cans = 3 * 48 = 144 oz

192 + 144 = 336 oz <== total juice

A complex number, (a + bi), multiplied by (2 + 3i) and added to -i gives the product of (-11 + 5i) and (1 – i).a = and b =

Answers

Answer:

Hence, we have:

               a= 3 and b= 4

Step-by-step explanation:

It is given that:

A complex number, (a + bi), multiplied by (2 + 3i) and added to -i gives the product of (-11 + 5i) and (1 – i).

i.e.

(a+ib)(2+3i)-i=(-11+5i)(1-i)\n\ni.e.\n\na(2+3i)+ib(2+3i)-i=-11(1-i)+5i(1-i)\n\ni.e.\n\n2a+3ai+2bi+3bi^2-i=-11+11i+5i-5i^2

Since, we know that :

i^2=-1

Hence, we have:

2a+3ai+2bi-3b-i=-11+11i+5i+5\n\ni.e.\n\n(2a-3b)+i(3a+2b-1)=-11+5+11i+5i\n\ni.e.\n\n(2a-3b)+i(3a+2b-1)=-6+16i

i.e. we have:

2a-3b=-6---------(1)

and

3a+2b-1=16\n\ni.e.\n\n3a+2b=16+1\n\ni.e.\n\n3a+2b=17------------(2)

On multiplying equation (1) by 2 and equation (2) by 3 we get:

13a=39\n\ni.e.\n\na=3

on putting the value of a into equation (1) we get:

2* 3-3b=-6\n\ni.e.\n\n6-3b=-6\n\ni.e.\n\n-3b=-6-6\n\ni.e.\n\n-3b=-12\n\ni.e.\n\nb=4
(a+bi)(2+3i)-i=(-11+5i)(1-i)
2a+3ai+2bi+3bi²-i=-11+11i+5i-5i²
2a+(3a+2b-1)i-3b=-11+16i+5
(2a-3b)+(3a+2b-1)i=-6+16i
Therefore; we have the next system of equations:
2a-3b=-6
3a+2b-1=16

Finally, the system of equations is:
2a-3b=-6
3a+2b=17
We can solve this system of equations by reduction method
 2(2a-3b=-6) 
 3(3a+2b=17)
----------------------
   13a=39  ⇒a=39/13=3

 3(2a-3b=-6)
-2(3a+2b=17)
----------------------
       -13b=-52   ⇒ b=52/13=4

Answer: a=3;    b=4
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