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Step2247 [10]
3 years ago
10

A quadratic equation can be written in vertex form or in standard form. Sometimes one form is more beneficial than the other. Id

entify which form would be more helpful if you needed to do each task listed below and explain why
Mathematics
1 answer:
Ilia_Sergeevich [38]3 years ago
6 0
Below are suppose the be the questions:

a. factor the equation 
<span>b. graph the parabola </span>
<span>c. identify the vertex minimum or maximum of the parabola </span>
<span>d. solve the equation using the quadratic formula
</span>
below are the answers:

Vertex form is most helpful for all of these tasks. 
<span>Let </span>
<span>.. f(x) = a(x -h) +k ... the function written in vertex form. </span>

<span>a) Factor: </span>
<span>.. (x -h +√(-k/a)) * (x -h -√(-k/a)) </span>

<span>b) Graph: </span>
<span>.. It is a graph of y=x^2 with the vertex translated to (h, k) and vertically stretched by a factor of "a". </span>

<span>c) Vertex and Extreme: </span>
<span>.. The vertex is (h, k). It is a maximum if "a" is negative; a minimum otherwise. </span>

<span>d) Solutions: </span>
<span>.. The quadratic formula is based on the notion of completing the square. In vertex form, the square is already completed, so the roots are </span>
<span>.. x = h ± √(-k/a)</span>
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hram777 [196]
C. False; the expression are never the same
4 0
3 years ago
Please help. thanks.
Free_Kalibri [48]
Hello!

You have to find the area of the prism and the pyramid

rectangular prism is lwh

Put in the values you know

15 * 5 * 7 = 525

For a prism you use

\frac{lwh}{3}

Put in the values you know

\frac{15 * 5 *13 }{3}

Multiply

975/3

Divide

325

Add the values you know

325 + 525 = 850

The answer is D)850cm^{3}

Hope this helps!
5 0
3 years ago
Stacie is choosing between two careers. Working for company A, Stacie will make $45,000 the first year and will receive an addit
fomenos

The expression in company B represents that is is in arithmetic progression where first term is 42000 and common difference is 1800 . So we have to use the formula of sum of n terms which is

S=\frac{n}{2}(2a +(n-1)d)

Where a is the first term, n is the nth term, d is the common difference

On substituting there values,we will get

S =\frac{30}{2}(2*42000+(30-1)1800)

= 15(84000+52200) = 15*136200 =2043000

And for company A, it is

S= \frac{30}{2}(2*45000+(30-1)1500 ) = 15(90000+43500)=2002500

Difference between them =2043000-2002500= 40500

So the correct option is the second option .

6 0
3 years ago
Add [ -6 -2 2] + [-3 2 1]
Troyanec [42]
-6 (negative six) is the answer
8 0
3 years ago
Read 2 more answers
A bouquet of flowers contains a total of 24 red and white roses. The number of red roses is 4 less than three times the number o
geniusboy [140]

Answer:

White roses - 7

Red roses - 17

Step-by-step explanation:

Set up proportional equations

White roses = x

Red roses = 3x - 4

Set equal to 24

x + 3x - 4 = 24

4x - 4 = 24

4x = 28

x = 7

x is white roses, so there are 7

Plug x value into red rose equation

3(7)-4

21-4 = 17 red roses

Check

17+7 = 24

5 0
3 years ago
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