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2 years ago

Which of the following represents h (x-2) + 3

Mathematics

1 answer:

fomenos2 years ago

8 0

Answer:

Step-by-step explanation:

For transformation functions;

(x-2), the 2 represents horizontal shift (left or right)

if it is a positive= shift left

if it is a negative= shift right

since it is -2, the vertex of the graph is shifted right by 2 units.

For the +3 on the outside of h(x-2), this addresses the vertical shift.

Since it is +3, this means that the graph's vertex is shifted up.

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What are the coefficients for the binomial expansion of (p+q)^6

seropon [69]

Answer:

1 6 15 20 15 6 1

Step-by-step explanation:

To figure this out, we need to look at Pascal's Triangle, which is a tricky little way to find the coefficients for any binomial expression like this! Check the attached photo.

Because this is to the sixth, we need the 6th row, which is 1 6 15 20 15 6 1. From this, we know that those numbers are the coefficients!

8 0

3 years ago

Read 2 more answers

Factor the following: 1. 5(a+3)²- (a+3 2. p²- 6 - q · (p²- 6)²

scoundrel [369]

Answer:

1. $(a + 3)(5a-14)$

2. $(p^2-6)[1-q(p^2-6)]$

Step-by-step explanation:

1. The first thing to do to factor the expression is to take the expression (a + 3) as a common factor with its lowest exponent.

Then the expression. $5(a + 3)^2- (a + 3)$ remains as:

$(a + 3)(5 (a + 3) -1)\\\\(a + 3)(5a +15 -1)\\\\(a + 3)(5a-14)$

2. The first thing to do to factor the expression is to take the expression $p^2 -6$ as its common factor with its lowest exponent.

Then the expression $p^2- 6 - q(p^2- 6)^2$ remains as:

$(p^2-6)[1-q (p^2-6)]$

8 0

3 years ago

Mrs. B. & Ms. H. each had a repair made on their cars. The initial cost of each repair is $500. Mrs. B. uses a $75 off the r

Elza [17]

Ms.H paid less in fact she paid $22.5 less

7 0

2 years ago

Read 2 more answers

Solve the following equation for x: 5x + 3y = 15.

zepelin [54]

Answer:

B) x = (-3/5)y + 3

Step-by-step explanation:

Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.

first, subtract 3y from btoh sides:

5x + 3y (-3y) = 15 (-3y)

5x = -3y + 15

Next, divide 5 from both sides:

(5x)/5 = (-3y +15)/5

x = (-3/5)y + 3

B) x = (-3/5)y + 3 is your answer.

8 0

3 years ago

Studio fee:$8 per hour Vase:$10

aleksandrvk [35]

Answer:

4.5 hours

Step-by-step explanation:

So, let's write a function p(x) which represents the total cost.

Let's let x represent the amount of hours.

The cost of a piece is a constant 10.

And there is a $8 fee per hour. In other words:

$p(x)=8x+10$

We spent a total of $46.

So, substitute in 46 for p(x) and solve for x:

$46=8x+10$

Subtract 10 from both sides:

$36=8x$

Divide both sides by 8:

$x=36/8$

Reduce:

$x=4.5$

So, we spent about 4.5 hours.

8 0

2 years ago