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Zepler [3.9K]
3 years ago
8

Please helpp ASAP 2 5 pts + brainliest for best/right answer

Mathematics
1 answer:
dimulka [17.4K]3 years ago
7 0

Answer:

The vertex is at (-3/2, 33/4)

x=-3/2

Step-by-step explanation:

y= -x^2 -3x+6

Factor out a negative from the first two terms

y = -(x^2 +3x)  +6

Complete the square

Take 3 /2  and square it  (3/2)^2  = 9/4

The - on the outside of the parentheses means we really are subtracting it so we need to add it on the outside

y = -(x^2 + 3x + 9/4) +9/4 +6

  = -(x+3/2)^2 + 9/4 +6

Get a common denominator of 4

  = -(x+3/2)^2 + 9/4 +6*4/4

y =- (x+3/2)^2 + 9/4 +24/4

y = -(x+3/2)^2 + 33/4

y = a(x-h)^2 +k  where (h,k) is the vertex

y = -(x - -3/2)^2 + 33/4

The vertex is at (-3/2, 33/4)

The axis of symmetry is at the x coordinate of the vertex

x=-3/2

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Graph the function f(x)= 5x^5 + 4x^4 - 4x^3 - 7x^2 +6 by making a table of values.
aleksandr82 [10.1K]

Answer:

You can see the graph in the attached file.

Step-by-step explanation:

You need to propouse values of x, and substitue into the equation to get the corresponding value of y. In other words you need to evaluate the function for each value of x. With those values you can build the table.

For  example choose the value x = 0, then you can calculate the value of y:

f(x) = 5x^{5}  +4x^{4}  - 4x^{3}  -7x^{2} +6

f(0) = 5(0)^{5}  +4(0)^{4}  - 4(0)^{3}  -7(0)^{2} +6

f(0) = 6

Then when x = 0, y = 6

The coordinates for the graph (x, y) = (0, 6)

For the table choose different values, include: zero, negative and positive numbers.

x y

x = f(x)=

-20 -15330794

-15 -3582444

-10 -456694

-5 -12794

-1 2

0 6

1 4

5 17456

10 535306

15 3984306

20 16605206

Review the attached excel file, there you will see the table and how to do the calculations in the cell.

Once you have the values in the chart, select the data. Then from the bar choose insert and then select the xy scatter.

Also you can see the graph in the file.

Download xlsx
6 0
3 years ago
How long (in years) would $900 have to be invested at 11.3%, compounded continuously, to earn $500 interest? (Round your answer
KatRina [158]

Answer:

6.13 years

Step-by-step explanation:

The computation of the number of years is shown below:

As we know that

Amount = Principal ×e^{rate,time period}

($900 +  $500)  = $700 × e^{11.3%, time period}

$1,400 = $700 × e^{11.3%, time period}

ln(2) = 0.113× time period

0.693147181 ÷ 11.3 = time period

= 6.13 years

8 0
2 years ago
Can you guys help me pls
kherson [118]

Answer:

The answer is 4/6

Step-by-step explanation:

2:3 and 4:6 share the same exact relationship but is expressed using different numbers, for example, 2:3 * 2 = 4:6 and 4:6 / 2 = 2:3

5 0
3 years ago
Read 2 more answers
How do you simplify 243 1/5
8_murik_8 [283]

Answer:

Step-by-step explanation:

To simplify to a improper fraction, you do 243 times 5, which is 1215, then add 1, which is 1216

6 0
3 years ago
I need to know how to find what the percent of 91 is 46
LekaFEV [45]
46 / 91 = 0.50594 .....
so round up as 51 %
5 0
3 years ago
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