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3 years ago

Which equation is equivalent to 3[x + 3(4x – 5)] = 15x – 24?

Mathematics

2 answers:

makkiz [27]3 years ago

5 0

Hello from MrBillDoesMath!

Answer:

x = 7/8

Discussion:

3[x + 3(4x – 5)] = 15x – 24 =>

3x + (3*3)(4x-5) = 15x - 24 =>

3x + 9*(4x) - (3*3)*5 = 15x - 24 =>

3x + 36x - 45 = 15x - 24 => (add 24 to each side)

3x + 36x - 45 + 45 = 15x - 24 + 45 =>

39x = 15x + 21 => (as 45-24 = 21)

39x-15x = 21 => (subtract 15x from both sides)

24x = 21 =>

x = 21/24 = -7/8

Regards,

MrB

P.S. I'll be on vacation from Friday, Dec 22 to Jan 2, 2019. Have a Great New Year!

Anastaziya [24]3 years ago

4 0

I hope this will help

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irina [24]

Answer:

$\boxed{=-4984}$

Step-by-step explanation:

Product- its going to be multiply by the fractions, and numbers.

Its going to be negative sign is the correct answer.

First, multiply by the numbers.

$89*56=4984$

Then you can change positive to negative.

$-4984$

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3 years ago

Solve 6x^2 - 42 = 0 for the exact values of x

GREYUIT [131]

Answer:

The values of x are

$x=-\sqrt{7} , x=\sqrt{7}$

Step-by-step explanation:

we have

$6x^{2}-42=0$

Solve for x

Adds 42 both sides

$6x^{2}-42+42=0+42$

$6x^{2}=42$

Divide by 6 both sides

$6x^{2}/6=42/6$

simplify

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square root both sides

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therefore

The values of x are

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3 years ago

545 divided by 7 with a remainder

vovangra [49]

Answer:

77 with a remainder of 8

Step-by-step explanation:

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3 years ago

The data below shows the duration of eruption (in seconds) of a geyser in a national park and the height (in feet) of the erupti

amid [387]

Answer:

ŷ = -0.08522X + 157.7779

The slope = - 0.1

Intercept = 157.8

Step-by-step explanation:

Given the data :

Duration __ Height

240 140

237 154

122 140

267 140

113 160

258 140

232 150

105 150

186 160

248 155

243 125

241 136

214 140

114 155

272 130

227 125

237 125

238 139

203 125

270 140

218 140

226 135

250 141

245 140

120 139

267 110

103 140

270 135

241 140

239 135

General regression equation :

y = mx + c

Where

y = predicted variable

x = predictor / explanatory variable

m = slope or gradient

c = Intercept

The regression equation obtained ;

ŷ = -0.08522X + 157.7779

To one decimal place :

ŷ = -0.1X + 157.8

The slope = - 0.1

Intercept = 157.8

8 0

3 years ago