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Lyrx [107]
3 years ago
7

Solve for x. Please show your work. 2x + 6 = 3x - 2

Mathematics
1 answer:
Valentin [98]3 years ago
6 0

Answer:

x=8

Step-by-step explanation:

2x + 6 = 3x - 2

then subtract the 6 from both sides of the equation

2x = 3x - 8

then subtract the 3x from both sides of the equation

- 1x =  - 8

then divide each side by -1

x = 8

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The axis of symmetry for the function f(x) = –2x2 + 4x + 1 is the line x = 1. Where is the vertex of the function located?
egoroff_w [7]

Answer:

(1, 3)

Step-by-step explanation:

You are given the h coordinate of the vertex as 1, but in order to find the k coordinate, you have to complete the square on the parabola.  The first few steps are as follows.  Set the parabola equal to 0 so you can solve for the vertex.  Separate the x terms from the constant by moving the constant to the other side of the equals sign.  The coefficient HAS to be a +1 (ours is a -2 so we have to factor it out).  Let's start there.  The first 2 steps result in this polynomial:

-2x^2+4x=-1.  Now we factor out the -2:

-2(x^2-2x)=-1.  Now we complete the square.  This process is to take half the linear term, square it, and add it to both sides.  Our linear term is 2x.  Half of 2 is 1, and 1 squared is 1.  We add 1 into the set of parenthesis.  But we actually added into the parenthesis is +1(-2).  The -2 out front is a multiplier and we cannot ignore it.  Adding in to both sides looks like this:

-2(x^2-2x+1)=-1-2.  Simplifying gives us this:

-2(x^2-2x+1)=-3

On the left we have created a perfect square binomial which reflects the h coordinate of the vertex.  Stating this binomial and moving the -3 over by addition and setting the polynomial equal to y:

-2(x-1)^2+3=y

From this form,

y=-a(x-h)^2+k

you can determine the coordinates of the vertex to be (1, 3)

5 0
3 years ago
Read 2 more answers
Complete the equation <br> 9/4= ? ÷ by 4
Stells [14]

Answer:

9

Step-by-step explanation:

9/4 can be said as "9 divided by 4", so the ? is 9.

8 0
3 years ago
If A and B are independent events with P( A) = 0.60 and P( A| B) = 0.60, then P( B) is: a. 0.60 b. cannot be determined with the
Simora [160]

Answer:

<h2>B. cannot be determined</h2>

Step-by-step explanation:

For two events A and B to be independent, it means they can occur at the same time i.e the occurrence of one does not affect the other occurring. It is represented as P(A∩B) = P(A)P(B)

Given P( A) = 0.60 and P( A| B) = 0.60, to find P(B), we will use the formula for the conditional probability P( A| B) = P(A∩B) /P(B)

P( A| B) = P(A)P(B) /P(B)

P( A| B) = P(A)

Since  P( A| B) = 0.60, therefore P(A) is also equal to 0.60 and P(B) cannot be determined since they cancelled out already

7 0
3 years ago
According to the dot plot, how many more groups had 4 or 5 people than 1 or 7?
DiKsa [7]
Ion know bro go ask for help
8 0
2 years ago
Read 2 more answers
How to do this question plz answer me step by step plzz plz ​
aliya0001 [1]

Answer:

adult cost £7, child cost £2

Step-by-step explanation:

let a represent an adult and c a child , then

2a + 3c = 20 → (1)

a + 4c = 15 → (2)

Multiplying (2) by - 2 and adding to (1) will eliminate a

- 2a - 8c = - 30 → (3)

Add (1) and (3) term by term to eliminate a, that is

- 5c = - 10 ( divide both sides by - 5 )

c = 2

Substitute c = 2 into either of the 2 equations and evaluate for a

Substituting into (2)

a + 4(2) = 15

a + 8 = 15 ( subtract 8 from both sides )

a = 7

The cost of an adult ticket is £7 and a child ticket is £2

5 0
3 years ago
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