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viva [34]
4 years ago
12

Marcus needs to rewrite f(x) = x2 + 6x + 4 in vertex form. His answer is f(x) = ()2 – 5.

Mathematics
2 answers:
klemol [59]4 years ago
7 0

Answer:

(x+3)^2-5

Step-by-step explanation:

Given is a quadratic equation as

x^2+6x+4

To complete the square we have to suitably add and subtract a term depending on the coefficient of x.

Here coefficient of x =6 and coefficient of x square =1

Hence we have to add (6/2)^2=9 to make it a perfect square

x^2+6x+4\\x^2+6x+9-5\\=(x+3)^2-5

Now we completed the square and made it in vertex form

Vertex is (-3,-5)

and

f(x) =(x+3)^2-5

kvv77 [185]4 years ago
5 0
Find the vertex. which is (-3,-5) the plug it into the equation y=a(x-h)^2+k 
the equation would be Y= (x+3)^2-5 :)
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A spinner is broken into section labeled 1 to 38. What is the probability that.On your next spin, that you will spin a 1?
VashaNatasha [74]

Answer:

1/38

Step-by-step explanation:

Given :

Probability = required outcome / Total possible outcomes

Total possible outcomes = total Numbe rod sections = 38

Required outcome = number of 1's on the entire section = 1

Hence, the probability of spinning a one equals :

P(spinning a 1) = 1 / 38

8 0
3 years ago
Factor<br> 80x5-70x2 60x?
LuckyWell [14K]

Answer:

200(−91x+2)

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Sarah can eat 45 blueberries in 2 minutes. If she eats blueberries for 45 minutes straight, how many did she eat?
BARSIC [14]

Answer:

1012

Step-by-step explanation:

She eats 1012 because:

If she eats 45 in 2 minutes then she eats 22.5 in 1 minute.

This is because 45 ÷ 2 = 22.5

Sarah eats blueberries for 45 minutes so we multiply 22.5 by 45

22.5 × 45 = 1012.5

She ate 1012 full berries.

3 0
3 years ago
Solve for the difference <br><br><br><br><br><br> `7.2-3.67`
storchak [24]
The correct answer is 3.53
7 0
2 years ago
g natasha is in a class of 30 students that selects 4 leaders. How many ways are there to select the 4 leaders so that natasha i
Papessa [141]

Answer:

<h2>3,654 different ways.</h2>

Step-by-step explanation:

If there are 30 students in a class with natasha in the class and natasha is to select four leaders in the class of which she is already part of the selection, this means there are 3 more leaders needed to be selected among the remaining 29 students (natasha being an exception).

Using the combination formula since we are selecting and combination has to do with selection, If r object are to selected from n pool of objects, this can be done in nCr number of ways.

nCr = n!/(n-r)!r!

Sinca natasha is to select 3 more leaders from the remaining 29students, this can be done in 29C3 number of ways.

29C3 = 29!/(29-3)!3!

29C3 = 29!/(26!)!3!

29C3 = 29*28*27*26!/26!3*2

29C3 = 29*28*27/6

29C3 = 3,654 different ways.

This means that there are 3,654 different ways to select the 4 leaders so that natasha is one of the leaders

5 0
3 years ago
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