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3 years ago

-3(-7 - x) = 1/2 (x + 2)

Mathematics

2 answers:

xz_007 [3.2K]3 years ago

8 0

The answer is - X= -8

maw [93]3 years ago

3 0

Answer:

x=-8

Steps:

Simplify-

−3(−7−x)= x+2/2

Simplify-

−3(−7−x)= 1+ x/2

Multiply both sides by 2-

−6(−7−x)=2+x

Expand-

42+6x=2+x

Subtract 2 from both sides-

42+6x−2=x

Simplify-

6x+40=x

Subtract 6x from both sides-

40=x−6x

Simplify-

40=−5x

Divide-

-40/5=x

Simplify-

-8=x

Switch sides-

x=-8

I believe this is correct, if not let me know and I will fix it.

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Which number(s) are 3 units from zero on a number line?<br><br> 6<br> 3<br> 1\3<br> -3

MrRissso [65]

3 & -3 are 3 units from zero

8 0

2 years ago

Now given a rope hanging from the top of a pole. The end lying on the ground is 3 chi long. When tightly stretchedit is 8 chi fr

drek231 [11]

Answer:

Height of the pole = 9.17 chi.

Length of the rope = 12.17 chi.

Step-by-step explanation:

Given that the rope is hanging from the top of a pole having height x chi and the portion of the rope lying on the ground is 3 chi.

So, the length of the rope= x + 3 chi.

Let AB represents the pole in the figure, and one end of the rope is at point A.

When the rope is tightly stretched, let C be the other end of the rope as shown in the triangle.

The length of the rope = AC.

\Rightarrow AC=x+3 chi.

Distance from the bottom of the pole, point A, to the other end of the pole, point B, is 8 chi.

So, BC=8 chi.

As the triangle ABC is a right-angled triangle, so by using Pythagoras theorem,

$AC^2= AB^2+BC^2$

$\Rightarrow (x+3)^2=x^2+8^2$

$\Rightarrow x^2+6x+9=x^2+64$

$\Rightarrow 6x=64-9=55$

$\Rightarrow x=55/6=9.17$ chi.

Hence, the height of the pole, $AB=x=9.17$ chi,

and the length of the rope, $x+3=9.17+3=12.17$ chi.

8 0

3 years ago

A EZ one<br> ......<br> (^.^)

My name is Ann [436]

Answer:

so depending on how many hotdogs he sells you have a profit. so replace H with a number a you will have a ptofit.

Step-by-step explanation:

p=2h

if he sells 2 hotdogs

p=2x2

p=4

and so on...

4 0

3 years ago

Read 2 more answers

The binomial x-2 is a factor of the polynomial below. f(x)=x3+x2+nx+10 What is the value of n?

Nutka1998 [239]

<h3>Answer: n = -11</h3>

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

Explanation:

Since x-2 is a factor of f(x), this means f(2) = 0.

More generally, if x-k is a factor of p(x), then p(k) = 0. This is a special case of the remainder theorem.

So if we plugged x = 2 into f(x), we'd get

f(x) = x^3+x^2+nx+10

f(2) = 2^3+2^2+n(2)+10

f(2) = 8+4+2n+10

f(2) = 2n+22

Set this equal to 0 and solve for n

2n+22 = 0

2n = -22

n = -22/2

n = -11 is the answer

Therefore, x-2 is a factor of f(x) = x^3+x^2-11x+10

Plug x = 2 into that updated f(x) function to find....

f(x) = x^3+x^2-11x+10

f(2) = 2^3+2^2-11(2)+10

f(2) = 8+4-22+10

f(2) = 0

Which confirms our answer.

3 0

3 years ago

What's 5and24/10 divided by 4?

Alchen [17]

First, convert 5 and 24/10 into a mixed fraction:

5 and 24/10 = 74/10

Now, divide 74/10 by 4:

74/10 ÷ 4 = 74/10 × 1/4
  = 74/40
  = 37/20
  = 1 and 17/20

(Remember that dividing requires you to reciprocate 4)

Hope this helps!

5 0

3 years ago