MATHEMATICS HIGH SCHOOL

What is the simplified form of the quantity of x plus 8, all over the quantity of x plus 2 + the quantity of x minus 3, all over 4?

Answers

Answer 1

Answer:

Answer: $(x^2+3x+26)/(4x+8)$

Step-by-step explanation:

Since, according to the question the given expression,

$(x+8)/(x+2) + (x-3)/(4)$

= $(4(x+8)+(x-3)(x+2))/(4(x+2))$

= $(4x+32+(x-3)(x+2))/(4x+8)$ (By solving the parenthesis )

= $(4x+32+x(x+2)-3(x+2))/(4x+8)$ ( by distributive property)

= $(4x+32+x^2+2x-3x-6)/(4x+8)$ ( again on applying distributive property)

= $(3x+26+x^2)/(4x+8)$ ( by operating like terms)

= $(x^2+3x+26)/(4x+8)$

Answer 2

Answer: $(x + 8)/(x + 2) + (x - 3)/(4) = (4(x + 8))/(4(x + 2)) + ((x + 2)(x - 3))/(4(x + 2)) = (4(x) + 4(8))/(4(x + 2)) + (x(x - 3) + 2(x - 3))/(4(x + 2)) = (4x + 32)/(4(x + 2)) + (x(x) - x(3) + 2(x) - 2(3))/(4(x + 2)) = (4x + 32)/(4(x + 2)) + (x^(2) - 3x + 2x - 6)/(4(x + 2)) = (4x + 32)/(4(x + 2)) + (x^(2) - x - 6)/(4(x + 2)) = ((4x + 32) + (x^(2) - x - 6)/(4(x + 2)) = (x^(2) + (4x - x) + (32 - 6))/(4(x + 2)) = (x^(2) + 3x + 26)/(4(x + 2))$

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3x + 5y = 7
4x + 3y = 2

Both x and y have to be the same numbers!

Answers

Simultaneous Equations:
(3x + 5y = 7)×(-3)
(4x + 3y = 2)×(5)

-9x - 15y = -21
20x+15y =10 (-15y and and+15y cancels out)

11x = -11
$(11x)/(11)$ = $(-11)/(11)$ (11 and 11 cancels out)
x= -1
substitute the x we found into either original expressions

3(-1) + 5y = 7
-3 + 5y = 7
+3 -3+ 5y = 7+ 3
5y = 10
$(5y)/(5)$ = $(10)/(5)$ (5 and 5 cancels out)
y=2
Check it!
4(-1)+3(2) = 2
-4 + 6 = 2
2 = 2

3(-1) + 5(2) = 7
-3 + 10 = 7
7 = 7

x= -1
y= 2

i think there was a something wrong in you question because the answer does not be the same as you want

164,215 + 216,088 round to the nearest ten thousand

Answers

38000 is 380303 rounded to the nearest ten thousand

Ratio equal to the ratio given 12:7

Answers

To find an equal ratio, just multiply both sides of the ratio by the same number.

12:7
12(2):7(2)
24:14

12:7 = 24:14

as 12:7 = 12/7
therefore to get equivalents of a fraction we multiply the nominator and the denominator with a same no
let us take 2
then, 12x2/7x2 =24/14
your ans is 24/14

What must the slope of a line be if it is parallel to the line 8y+12x=-6

Answers

Hello,

We know that patallel lines have the same slope, so we have to find the slope of that line and that is the answer:

The general formula of the line is: y=mx+b
where: m= slope

For example, in the line: y=2x+3, the slope is: m=2

So you have to put the equation in that form, and you'll have the answer there in front of you. I'm going to give you two options, so you can check your work:

Answer: m=-3/2 or m=-4/3

rearrange the equation into y=mx+b form so it is y=-3/2x-3/4. parallel lines have the same slope so the slope of the line that is parallel to 8y+12x=-6 is -3/2!

Divide 56 in a ratio of 5:3

Answers

There are 5 "parts" and 3 "parts"; which total "8 parts" (5 + 3 = 8); so, each part must be 56/8 = 7. so each part must be 56/7 = 8
5 x 7 is 35
3 x 7 is 21
___________
So the answer is 35:21 .

What is the solution of the equation? W-2 = -3
a. -3/2
b. -5
c. -1
d. 0

Answers

$w-2 = -3\nw -2+2 = -3+2\nw = -3+2\nw =2-3\n\n\boxed{\bf{w=-1}}$

Your answer is C.

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