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3 years ago

Solve for k. Describe the steps taken to find the solution. 8 + 10 - 6k = 6(4 - k)

Mathematics

2 answers:

BartSMP [9]3 years ago

5 0

Answer:

no solutions

Step-by-step explanation:

8 + 10 - 6k = 6(4 - k)

Distribute

8 + 10 - 6k = 24 -6k

Combine like terms

18 -6k = 24 -6k

Add 6k to each side

18 - 6k +6k = 24 - 6k+6k

18 = 24

This is never true so there are no solutions

Aliun [14]3 years ago

5 0

Hey there! I'm happy to help you out!

To solve for k, we have to isolate it on one side of the equation and put all the constants on the other side.

The first thing we need to do is get the k on the right side out of parentheses. To do this, we will use the distributive property!

8+10-6k=24-6k

Now, we will combine like terms.

18-6k=24-6k

We want to get all the ks on the left side and all the constants on the right. Let's add six k to both sides to cancel out the -6k on the right.

18=24

As you can see, our variables canceled out. This is because our equation was saying 18 minus six of something was equal to 24 minus six of something, which makes no sense because that doesn't work!

We are left with 18=24, which isn't even a true equation! Therefore, there is no solution to this equation.

I hope that this helps! Have a wonderful day!

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3 years ago

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What is the vertex of g(x) = –3x2 + 18x + 2?

blsea [12.9K]

Answer:

$(3,29)$

Step-by-step explanation:

There is a formula that can be used to find the x-value of the vertex of the parabola. This formula is $x=\frac{-b}{2a}$

We have the function $g(x)=-3x^2+18x+2$

From this function, we can find that

$a=-3\\b=18\\c=2$

We can plug in our know values into the formula to get

$x=\frac{-18}{2(-3)\\} \\x=\frac{-18}{-6} \\\\x=3$

Then we can plug in our x-value to find the y-value of the vertex

$g(3)=-3(3)^2+18(3)+2\\\\g(3)=-3(9)+54+2\\\\g(3)=-27+54+2\\\\g(3)=29$

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6 0

3 years ago

Factorise 2p^2 - p - 10<br> (2p squared)

velikii [3]

2p² - p - 10 = 0

2 = a

- 1 = b

- 10 = c

To factor, find two numbers that multiply to equal a·c and also that have a sum of b

2p² + 4p - 5p - 10 = 0

2p (p + 2) - 5 (p + 2) = 0

<h3>Answer: ( 2p - 5 ) ( p + 2 ) = 0</h3>

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2 years ago

Can you help me figure out if my this answer is correct...<br> 3(4x+ 5y +6)= 12×+15y+18

svetlana [45]

Answer: Yes, well done.

Step-by-step explanation:

$3(4x+5y+6)=12x+15y+18\\(3*4x)+(3*5y)+(3*6)=12x+15y+18\\12x+15y+18=12x+15y+18$

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3 years ago

Plz help the ones with question marks

3241004551 [841]

Answer:

1(5/16)=1.3125

7(5/16)=7.3125

26(5/16)=26.3125

Step-by-step explanation:

Given that 5/16=0.3125, the mixed fraction 1(5/16)=1+(5/16)=1+0.3125=1.3125

Also, 7(5/16)=7+(5/16)=7+0.3125=7.3125

Furthermore,

26(5/16)=26+(5/16)=26+0.3125=26.3125

In the same vein, given that 4/15=0.266

1(4/15)=1+(4/15)=1+0.266=1.266

17(4/15)=17+(4/15)=17+0.266=17.266

23(4/15)=23+(4/15)=23+0.266=23.266

7 0

3 years ago