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3 years ago

How do you solve this absolute value equation ? |x + 7| = 3x - 5

Mathematics

2 answers:

Katarina [22]3 years ago

6 0

Answer:

x=6

Step-by-step explanation:

x+7=3x-5

add 5 to both sides

x+12=3x

subtract x from both sides

12=2x

divide by 2 on both sides

6=x

RUDIKE [14]3 years ago

5 0

Hope this helps :) X=6

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Tell me questions 5 and 6

fgiga [73]

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4 years ago

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Setler79 [48]

Answer:

215.16

Step-by-step explanation:

1/3(48.9)(13.2)=215.16

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3 years ago

A restaurant averages ales of $120,000 when serving 20,000 guests. The restaurant's variable costs when 20,000 is $90,000. The c

Katarina [22]

Answer: Restaurant's monthly breakeven point in sales is $31333.

Step-by-step explanation:

Since we have given that

Number of guests = 20,000

Average sales = $120,000

Contribution margin per guest = $1.50

Let the number of sales be 'x'.

Cost per sales would be

$\dfrac{120000}{20000}\\\\=\$6$

Margin contributed by 2000 guests would be

$1.50\times 20000\\\\=\$3000$

So, Revenue function would be

$6x+3000$

Fixed monthly cost = $ 50,000

Variable cost for 20000 guests = $90000

So, Variable cost per sale would be

$\dfrac{90000}{20000}\\\\=\$4.5$

So, Cost function would be

$4.5x+50000$

Breakeven point would be

Cost function = Revenue function

$6x+3000=4.5x+50000\\\\6x-4.5x=50000-3000\\\\1.5x=47000\\\\x=\dfrac{47000}{1.5}\\\\x=\$31333.33\\\\x=\$31333$

Hence, Restaurant's monthly breakeven point in sales is $31333.

3 0

4 years ago

Find a polynomial equation that has zeros at x = -4, x = 0, and a double root at x = 7.

Ksju [112]

Answer:

Step-by-step explanation:

Given a polynomial f(x) with roots say x = a and x = b, then the factors are

(x - a) and (x - b) and f(x) is the product of the roots, that is

f(x) = (x - a)(x - b)

Here the roots are x = - 4, x = 0 and double root at x = 7

Thus factors are (x - (- 4)), (x - 0), that is (x + 4) and x

Given a double root at x = 7 the factor is (x - 7)², thus polynomial is

y = x(x + 4)(x - 7)² → D

7 0

3 years ago

What is the perimeter of 2m 10cm by 45 cm

qwelly [4]

I believe it is 510 cm because a meter equals 100 cm so 210 cm times 2 equals 410 cm then multiply 45 times 2 and get 90 cm then add 410 plus 90 and get 510 cm.

6 0

3 years ago