Evaluate AB for A = 5, B =-2, C = 4 and D = -6. 5/12 -5/12 -3/2 3/2

What is the vertex form of y=-2x2+4x + 3?

sukhopar [10]

Answer:

$y=-2(x-1)^2+5$

Step-by-step explanation:

we have

$y=-2x^2+4x+3$

This is the equation of a vertical parabola open downward

The vertex represent a maximum

Convert the quadratic equation into vertex form

step 1

Factor -2

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

step 2

Complete the square

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

$y=-2(x^2-2x+1)+5$

step 3

Rewrite as perfect squares

$y=-2(x-1)^2+5$ ----> equation in vertex form

The vertex is the point (1,5)

3 0

3 years ago

Cell phone plan A costs 79 per month and comes with a free 500 phone. Cell phone plan B costs 50 per month but does not come wit

meriva

Answer: it will take 25 months

Step-by-step explanation:

Let x represent the number of months that it will take for the cost of both plans to be the same.

Cell phone Plan A costs $70 per month and comes with a free $500 phone. This means that the total cost of x months with plan A would be

70 × x = $70x

Cell phone plan B costs 50 per month but does not come with a phone. If you buy the 500 phone and choose plan B, then the total cost of x months with plan B would be

500 + 50 × x = 500 + 50x

To determine the number of months until your cost is the same as Plan A's, we would equate both costs. It becomes

70x = 500 + 50x

70x - 50x = 500

20x = 500

x = 500/20 =25

8 0

3 years ago

Reggy is a reading a 340 page book. It takes him 7 days to read the first 119 pages. At this rate, how much longer will it take

julsineya [31]

Answer:

13

Step-by-step explanation:

If he reads 119 pgs in 7 days that mean 119/7 = 17 he reads 17 pgs per day

next 340-119 = 221 then 221/17= 13

5 0

3 years ago

Find the rate of change

vesna_86 [32]

Answer:

11

Step-by-step explanation:

The rate of change is the ratio of the change in Y to the change in X.

When Y changes from -40 to 4, that is an increase of 44 (4--40=4+40=44), so the change in Y is +44. The corresponding change in X is from -3 to 1, so the change in X is +4 (1--3=1+3=4). The ratio of the change in Y to the change in X is 44/4=11.

Try doing the same computation going from the second row to the third row and you will get the same ratio of 11.

5 0

3 years ago

Read 2 more answers

A local nursery sells a large number of ornamental trees every year. The owners have determined the cost per tree C for buying a

Karo-lina-s [1.5K]

The minimum cost is achieved when 150 trees are produced giving a minimum cost of $27.5

Polynomial is an expression that involves the operations of addition, subtraction, multiplication of variables.

Let C represent the cost for buying and caring for n trees. Given that:

C = 0.001n² - 0.3n + 50.

The minimum cost is at dC/dn = 0, hence:

dC/dn = 0.002n - 0.3

0.002n - 0.3 = 0

0.002n = 0.3

n = 150

C(150) = 0.001(150)² - 0.3(150) + 50 = 27.5

The minimum cost is achieved when 150 trees are produced giving a minimum cost of $27.5

Find out more at: brainly.com/question/25836610

8 0

3 years ago