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Olenka [21]
3 years ago
8

Determine whether the given point (2, -2) lies on the line 3x – y = 4.

Mathematics
1 answer:
AVprozaik [17]3 years ago
8 0

Answer:

Step-by-step explanation:

3(2) + 2 = 4

6 + 2 = 4

8 is not equal to 4

Therefore (2,-2) does not equal

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7x - 20 = 2x - 3(3x + 2)
kirill [66]

Answer:

7x-20=2x-3(3x+2)

We move all terms to the left:

7x-20-(2x-3(3x+2))=0

We calculate terms in parentheses: -(2x-3(3x+2)), so:

2x-3(3x+2)

We multiply parentheses

2x-9x-6

We add all the numbers together, and all the variables

-7x-6

Back to the equation:

-(-7x-6)

We get rid of parentheses

7x+7x+6-20=0

We add all the numbers together, and all the variables

14x-14=0

We move all terms containing x to the left, all other terms to the right

14x=14

x=14/14

x=1

   

   

Step-by-step explanation:

4 0
3 years ago
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Solve the inequality:<br>x+8 &gt; 14<br>O x26<br>O x2 22<br>Oxs 22<br>Ο κε 6​
almond37 [142]

Answer:

Option D, x > 6

Step-by-step explanation:

<u>Step 1:  Subtract 8 from both sides </u>

<u />x + 8 > 14

x + 8 - 8 > 14 - 8

x > 6

Answer:  Option D, x > 6

6 0
3 years ago
Describe how you would find how much grass seed is needed to cover a triangular plot of land
Papessa [141]

Answer: it the area of it

Step-by-step explanation:

3 0
3 years ago
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ln(y+1)-lny=1+3lnx . Express y in terms of x, in a form not involving logarithms. (4 marks, Maths CIE A level)
Delicious77 [7]
remember
ln(x)=log_e(x)
and
log_x(a)-log_x(b)= log_x( \frac{a}{b} )
and
log_a(b)=c means a^c=b
and
blog(a)=log(a^b)



so

ln(y+1)-ln(y)=1+3ln(x)
ln( \frac{y+1}{y} )=1+ln(x^3)

minus ln(x^3) from both sides

ln( \frac{y+1}{y}-ln(x^3) )=1
ln( \frac{y+1}{yx^3})=1
log_e( \frac{y+1}{yx^3})=1

translate

e^1=\frac{y+1}{yx^3}
e=\frac{y+1}{yx^3}

times both sides by yx^3

eyx^3=y+1

minus y from both sides

eyx^3-y=1
y(ex^3-1)=1

divide both sides by (ex³-1)

y= \frac{1}{ex^3-1}
6 0
3 years ago
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Twenty-five employees decide to chip in to buy a small refrigerator for the office. If the cost of the refrigerator is $275, how
Lynna [10]
275 / 25 = 11    25 goes into 275 11 times
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3 years ago
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