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Scorpion4ik [409]
3 years ago
9

........................................................................................................

Mathematics
2 answers:
Taya2010 [7]3 years ago
7 0
The answer is x = -37/2.
tekilochka [14]3 years ago
7 0
2x+45=8
x=-18.5 or -37/2
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HELP PLEASE!! TON OF POINTS. RIGHT ANSWERS ONLY REWARDED. MATH GENIUSES?
Nonamiya [84]

Answer:

The graph is shifted 1 unit right

The graph is shifted 2 units down

Step-by-step explanation:

We are given

Parent function as

f(x)=2^{x+3}-3

New function as

g(x)=2^{x+2}-1

we can also write as

g(x)=2^{x+3-1}-3+2

We can see that

1 is subtracted to x-value

and 2 is added to y-value

So, f(x) is shifted right by 1 unit

and

f(x) is shifted up by 2 unit


3 0
3 years ago
Which equation is equivalent to 2^4x=8^x-3?
slavikrds [6]

Answer:

D

Step-by-step explanation:

8 0
3 years ago
The midpoint of \overline{\text{AB}} AB is M(0, -3)M(0,−3). If the coordinates of AA are (2, -5)(2,−5), what are the coordinates
ICE Princess25 [194]

Using the mid-point concept, it is found that the coordinates of B are (-2, -1).

  • The mid-point of two points is the <u>mean of the coordinates of each point</u>.

In this problem:

  • The points are: A(2, -5) and B(x,y).
  • The mid-point is (0, -3).

Applying the concept for both the x and y-coordinates, we have that:

\frac{x + 2}{2} = 0

x + 2 = 0

x = -2

\frac{-5 + y}{2} = -3

-5 + y = -6

y = -1

The coordinates of B are (-2, -1).

To learn more about the mid-point concept, you can take a look at brainly.com/question/10956693

5 0
2 years ago
Find the slope of the line that contains the points named.
8090 [49]

Answer:

M= 0

Step-by-step explanation:

the ys are the same

6 0
3 years ago
Find the volume of the largest rectangular box in the first octant with three faces in the coordinate planes and one vertex in t
nataly862011 [7]

Let (<em>x</em>, <em>y</em>, <em>z</em>) be a point on the plane in the first octant. The box formed by this point has volume <em>xyz</em>, and you want to maximize this subject to the equation of the plane.

Use the method of Lagrange multipliers: the Lagrangian is

<em>L</em>(<em>x</em>, <em>y</em>, <em>z</em>) = <em>xyz</em> - <em>λ</em> (<em>x</em> + 2<em>y</em> + 3<em>z</em> - 6)

Find its critical points:

∂<em>L</em>/∂<em>x</em> = <em>yz</em> - <em>λ</em> = 0

∂<em>L</em>/∂<em>y</em> = <em>xz</em> - 2<em>λ</em> = 0

∂<em>L</em>/∂<em>z</em> = <em>xy</em> - 3<em>λ</em> = 0

∂<em>L</em>/∂<em>λ</em> = -(<em>x</em> + 2<em>y</em> + 3<em>z</em> - 6) = 0

Solving the first three equations for <em>λ</em> gives

<em>λ</em> = <em>yz</em> = <em>xz</em>/2 = <em>xy</em>/3

Solve these equations for <em>y</em> and <em>z</em> :

• <em>yz</em> = <em>xz</em>/2   =>   <em>y</em> = <em>x</em>/2   =>   2<em>y</em> = <em>x</em>

• <em>yz</em> = <em>xy</em>/3   =>   <em>z</em> = <em>x</em>/3   =>   3<em>z</em> = <em>x</em>

Substitute these solutions into the last equation and solve for <em>x</em>, then again for <em>y</em> and <em>z</em> :

<em>x</em> + 2<em>y</em> + 3<em>z</em> - 6 = 3<em>x</em> - 6 = 0   =>   3<em>x</em> = 6   =>   <em>x</em> = 2, <em>y</em> = 1, <em>z</em> = 2/3

At this critical point, the maximum volume is

<em>xyz</em> = 2*1*2/3 = 4/3

4 0
3 years ago
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