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lakkis [162]
3 years ago
14

What is the first step in the solution of (x + 3)2 = 5?​

Mathematics
2 answers:
ExtremeBDS [4]3 years ago
7 0

Answer:

Step-by-step explanation:

it should be  (x+3)2=5

xx2=2x+5=5

5-5=0

x=2

natta225 [31]3 years ago
4 0

Answer:

(x+3)2=5

2(x+3)=5

2x+2x3=5

2x+6=5

(2x+6)+(-6)=5+(-6)

2x+6-6=5-6

2x=-1

2x/2=-1/2

x=-1/2

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PLEASE HELP ILL MARK BRAINLIEST
viktelen [127]

Answer:

You would want to do the square root of 361 which is 19

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5 0
2 years ago
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Given the following table, find the rate of change between 1-4) and 10).
Gwar [14]

Answer:

  • 1/2

Step-by-step explanation:

<u>As per given table there are pairs:</u>

  • (-4, -2), (-2, -1), (0, 0), (2, 1), (4, 2)

<u>This is line passing through the origin and the equation is:</u>

  • f(x) = 1/2x

Rate of change is the slope 1/2, which is same over any interval

6 0
3 years ago
This table shows numbers of sweets in some tubes, but a coffee stain has deleted one of the figures.
svlad2 [7]
To get the answer, you need to think of it like a see-saw.
Both sides must equal the same relative to 33.5. For example, 32 is 1.5 away from 33.5 so you could say you have 1.5*4 (because theres 4 tubes with 32 sweets). If you were to do this for the whole table, it would look something like this:

(1.5*4)+(0.5*x)=(0.5*9)+(1.5*1)+(2.5*1)

This simplifies to:

6+0.5x=8.5
0.5x=2.5
x= \frac{2.5}{0.5}
x=5

This method can sometimes be inefficient depending on how many values but is probably the simplest way to solve this problem.

hope this helps :)

(sorry the other way is kinda hard to explain possibly ask your teacher tomorrow)
6 0
3 years ago
A container in the shape of a square-based prism has a volume of 2744 cm'. What dimensions give the
Vinvika [58]

Answer:

The dimensions that give the minimum surface area are:

Length = 14cm

width = 14cm

height = 14cm

And the minimum surface is:

S = 1,176 cm^2

Step-by-step explanation:

A regular rectangular prism has the measures: length L, width W and height H.

The volume of this prism is:

V = L*W*H

The surface of this prism is:

S = 2*(L*W + H*L + H*W)

If the base of the prism is a square, then we have L = W

Then the equations become:

V = L*L*H = L^2*H

S = 2*(L^2 + 2*H*L)

We know that the volume of the figure is 2744 cm^3

Then:

V = 2744 cm^3 = H*(L^2)

In this equation, we can isolate H.

H = (2744 cm^3)/(L^2)

Now we can replace this on the surface equation:

S = 2*(L^2 + 2*L* (2744 cm^3)/(L^2))

S = 2*L^2 + 4(2744 cm^3)/L

Now we want to minimize the surface area, then we need to find the zeros of the first derivative of S.

S' = 2*(2*L) - 4*(2744 cm^3)/L^2

This is equal to zero when:

0 = 2*(2*L) - 4*(2744 cm^3)/L^2

0 = 4*L*L^2 - 4*(2744 cm^3)

4*(2744 cm^3) = 4*L^3

2744 cm^3 = L^3

∛(2744 cm^3) = L = 14cm

Then the length of the base that minimizes the surface is L = 14.

Then we have:

H = (2744 cm^3)/(L^2) = (2744 cm^3)/(14cm)^2 = 14cm

Then the surface is:

S = 2*(L^2 + 2*L*H) = 2*( (14cm)^2 + 2*(14cm)*(14cm)) = 1,176 cm^2

8 0
2 years ago
What's the reciprocal of 0.5?
stellarik [79]

Answer:

2

Step-by-step explanation:

The reciprocal of a number n is \frac{1}{n}

Here n = 0.5, then reciprocal is

\frac{1}{0.5} = 2

8 0
2 years ago
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