All categories

2 years ago

Consider the expressions (3m+2n−6) and (−4−6m+7n). What is the sum of the expressions for n = -2 and m = 5?

Mathematics

1 answer:

faltersainse [42]2 years ago

8 0

Answer:

the answer is 25m + 5n + 15

You might be interested in

How do I solve this please help!

mr Goodwill [35]

Answer:

9 x + 8 y = 10 (I)

y = -4x + 7 (II)

One way is to rewrite the second as

4x + y = 7

Now multiply this equation by 8

32 x + 8 y = 56

9 x + 8 y = 10 and now subtract the equations

23 x = 46 this gives x as 2

From equation (II) y = -4 (2) + 7 = -1

So our values are (2, -1)

Check:

(I) 9 x + 8 y = 10 9 * 2 - 8 = 10

(II) 4 x + y = 7 or 4 * 2 - 1 = 7

Or you can substitute equation (II) directly into equation (I)

3 0

2 years ago

There are 8 boys in a class of 15 students. (a) what is the ratio of boys to girls? (b) whatis the ratio of all students in clas

Kisachek [45]

8/15 and all students to girl is 8+15 so 23/15

6 0

3 years ago

Read 2 more answers

(x+16)²=12 plz help me and show work

Readme [11.4K]

Answer:

The answer is $x=-16$ ± $2\sqrt{3}$ in exact form or $x=-12.535898$ , $x=-19.464102$ in decimal form.

Step-by-step explanation:

To solve this problem, start by moving all terms to the left side of the equation and simplify. Simplify the equation by subtracting 12 from both sides of the equation and squaring $x+16$ , which will look like $x^{2} +32x+256-12=0$ . Next, simplify the equation again, which will look like $x^{2} +32x+244=0$ .

Then, use the quadratic formula to find the solutions. The quadratic formula looks like $\frac{-b(+-)\sqrt{b^{2}-4ac } }{2a}$ .

For this problem, the quadratic variables are as follows:

$a=1$

$b=32$

$c=244$

The next step is to substitute the values $a=1$ , $b=32$ , and $c=244$ into the quadratic formula and solve. The quadratic formula will look like $\frac{-32(+-)\sqrt{32^2-4(1*244)} }{2*1}$ . To simplify the equation, start by simplifying the numerator, which will look like $x=\frac{-32(+-)4\sqrt{3} }{2*1}$ . Then, multiply 2 by 1 and simplify the equation, which will look like $x=-16(+-)2\sqrt{3}$ . The final answer is $x=-16$ ± $2\sqrt{3}$ in exact form. In decimal form, the final answer is $x=-12.535898$ , $x=-19.464102$ .