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4 years ago

If 5(3x-7)=25, then what is 6x-8?

Mathematics

1 answer:

BlackZzzverrR [31]4 years ago

8 0

Answer:

6x - 8 = 16

Step-by-step explanation:

Solve the equation for x

5(3x - 7) = 25 ( divide both sides by 5 )

3x - 7 = 5 ( add 7 to both sides )

3x = 12 ( divide both sides by 3 )

x = 4

Thus

6x - 8 = 6(4) - 8 = 24 - 8 = 16

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Verify that -tan2x = (2tanx) / (sec^2x - 2)

sashaice [31]

Answer:

Below.

Step-by-step explanation:

- tan 2x = -2tanx / (1 - tan^2x)

Using the identity tan^2x = sec^2x - 1 and substituting for tan^2x:

- tan 2x = -2 tanx / (1 - (sec^2x - 1))

= 2 tanx / ( - 1(sec^2x + 2))

= 2 tan x / (sec^2 x - 2)

8 0

3 years ago

Gregory draws a scale drawing of his room. The scale that he uses is 1cm: 4ft. On this drawing, the room is 3cm long. Which equa

stepladder [879]

The equation can be used to find the actual length of Gregory's room is:

$\frac{1\ cm}{4\ feet } = \frac{3\ cm }{x\ feet }$

Solution:

Given that,

The scale that he uses is:

1 cm : 4 feet

On this drawing, the room is 3 cm long

Let "x" be the actual length of room

Therefore,

1 cm : 4 feet

3 cm : "x" feet

This forms a proportion. Therefore,

$\frac{1\ cm}{4\ feet } = \frac{3\ cm }{x\ feet }$

Therefore, Option C is correct

Given that,

Rob chose A as the correct answer. Which is,

$\frac{1}{4} = \frac{x}{3}$

But option A is wrong

So, Rob made a mistake in measuring the equivalent ratio, it should be $\frac{1\ cm}{4\ feet } = \frac{3\ cm }{x\ feet }$

3 0

3 years ago

4x -5y=17 solve for y

Mariana [72]

Answer:

Move all terms that don't have "y " in it to the right side and solve.

y =− 17 /5 + 4 x /5

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

Calculate the area of the shaded area below

MariettaO [177]

Area of whole - White area = Shaded part

Area of rectangle = l*w
12*15= 180 ( whole)

8*10 = 80 ( white)

Shaded area = 180 - 80 = 100

8 0

3 years ago

Read 2 more answers

1. (section 2.1) Bungee jumping: Jimmy jumped off the Tallahatchie Bridge, 100 ft above

Tems11 [23]

Answer:

18.4 ft per second.

Step-by-step explanation:

Bungee jumped off the Tallahatchie Bridge, which is 100 ft above the water surface.

And after 5 seconds he was at 8 ft above the water surface.

Therefore, in total 5 seconds, he descends by total ( 100 - 8 ) = 92 ft altitude.

Hence, the average rate of change of his altitude is given by

$\frac{\textrm{Total altitude change}}{\textrm{Total time taken}} = \frac{92}{5} =18.4$ feet per seconds. (Answer)

7 0

3 years ago