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Katena32 [7]
3 years ago
13

(m+2)(m+3)=(m+2)(m-2)

Mathematics
1 answer:
Anastaziya [24]3 years ago
6 0
(m+2)(m+3)= (m+2)(m-2)
⇒ m^2+ 3m+ 2m+ 6= m^2 -4
⇒ 5m+ 6= -4 (m^2 on both sides cancels out)
⇒ 5m= -4-6
⇒ 5m= -10
⇒ m= -10/5
⇒ m= -2

The final answer is m=-2~
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The function of f(x) = 3x + 2 has a domain of -3 < x < 5. What is the domain of f-1(x)?
Flura [38]
<h3>Answer:    -7 < x < 17</h3>

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

Explanation:

Plug in the lower bound of the domain, which is x = -3

f(x) = 3x+2

f(-3) = 3(-3)+2

f(-3) = -9+2

f(-3) = -7

If x = -3, then the output is y = -7. Since f(x) is an increasing function (due to the positive slope), we know that y = -7 is the lower bound of the range.

If you plugged in x = 5, you should find that f(5) = 17 making this the upper bound of the range.

The range of f(x) is -7 < y < 17

Recall that the domain and range swap places when going from the original function f(x) to the inverse f^{-1}(x)

This swap happens because how x and y change places when determining the inverse itself. In other words, you go from y = 3x+2 to x = 3y+2. Solving for y gets us y = (x-2)/3 which is the inverse.

-----------------------

In short, we found the range of f(x) is -7 < y < 17.

That means the domain of the inverse is -7 < x < 17 since the domain and range swap roles when going from original to inverse.

6 0
3 years ago
A prime number has two factors, itself and 1? *
slamgirl [31]

Answer:

That is true. More information below.

Step-by-step explanation:

A prime number has to have only two factors: 1 and itself. 1 only has one factor (itself) so it is, as you were saying, neutral.

6 0
3 years ago
Can someone help me understand this.​
3241004551 [841]

Answer:

easy-peasy

Step-by-step explanation:

Perimeter:

P=2(a+b)

P=2(50+70)

P=2(120

P=240

Area:

A=50*70

A=3,500

I really hope it helped:)

8 0
3 years ago
Read 2 more answers
The stained glass window below is a semicircle. What is the distance around the window to the nearest hundredth of an inch? Use
Brrunno [24]

Answer:

The area of a circle is given by the formula

area=πr2

we have the value of π=3.14 , and the radius is taken from the diameter of the window (bottom edge), using the relation:

r=diameter

2r=362

r=18

By substituting these values to the formula of a circle, we now have:

area= (3.14 )  (18) 2

area=1017.36

But since the window is a semicircle, the area will have to be divided in half, therefore,

area of a semicircle =1017.362

area of a semicircle = 508.68

Thus the window's area is equal to 508.68 sq in.

8 0
3 years ago
Given h(t)= -2(t+5)^2+4, find h(-8)<br> –334<br> –14<br> 45<br> 445
Stells [14]
h(t)=-2(t+5)^2+4
h(-8)=-2(-8+5)^2+4=-2(-3)^2+4=-2\cdot 9+4=-18+4=-14
Answer B. -14
8 0
3 years ago
Read 2 more answers
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