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3 years ago

Write y=-3x^2+12x-21 in vertex form

2 answers:

6 0

The vertex form of any function is : f(x) = a(x-h)^2 + k
Hence the correct option would be: A): "-3(x-2)^2-9"

riadik2000 [5.3K]3 years ago

5 0

Complete the square:
y = 3x^2 - 12x + 4 
y = 3(x^2 - 4x) + 4 
y = 3(x^2 - 4x + 4 - 4) + 4 
y = 3(x^2 - 4x + 4) - 12 + 4 
y = 3(x - 2)^2 - 8

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Complete the equivalent equation for – 7x - 60 = x2 + 10x.

Murljashka [212]

Answer:

Equivalent equation: $x^{2} +17x +60=0$

Solution: x = {-12, -5}

Step-by-step explanation:

$-7x-60=x^{2} +10x\\x^{2} +10x+7x +60=0\\x^{2} +17x +60=0\\x^{2} +12x+5x +60=0\\x(x+12)+5(x+12)=0\\(x+12)(x+5)=0\\x+12=0\: or \: x+5=0\\x=-12\: or \: x=-5\\x=-12,\:-5\\$

5 0

3 years ago

What is the definition of square root?

Mariana [72]

A square root is a number that produces a specific number when multiplied by itself. Basically it's the same number multiplied by itself.
hope this helps:)

6 0

4 years ago

Read 2 more answers

A Web music store offers two versions of a popular song. The size of the standard Version is 2.7 megabytes (MB). The size of the

Shkiper50 [21]

Let x be number of downloads of standard version and y be number of downloads of high quality versions.

The hight quality downloads are twice as the standar downloads. So,

$y=2x$

The downloaded data for x standard version is 2.7x and for y high quality version is 4.2y. The total downloaded data is 3219. So,

$2.7x+4.2y=3219$

Substitute 2x for y in the equation and solve the obtained equation for x.

$\begin{gathered} 2.7x+4.2\cdot2x=3219 \\ 2.7x+8.4x=3219 \\ x=\frac{3219}{11.1} \\ =290 \end{gathered}$

So value of x is 290. Thus downloads of the standard version were 290.

Answer: 290

6 0

1 year ago

Two number cubes are rolled.

aliina [53]

Answer:

1/18

Step-by-step explanation:

Assuming the die are regular 1,2,3,4,5,6

P(2) = number of 2's/ total numbers on die

= 1/6

Roll again

Assuming the die are regular 1,2,3,4,5,6

P (numbers greater than 4) = {5,6}/total numbers on die

=2/6 = 1/3

P (2, then number greater than 4) = 1/6 * 1/3 = 1/18

8 0

3 years ago

Read 2 more answers

Keiko, Dale, and Jose have a total of $107 in their wallets. Jose has 3 times what Dale has. Keiko has $8 less than Dale. How mu

olga2289 [7]

Answer:

Amount in Dale's wallet :$23

Amount in Keiko's wallet :$15

Amount in Jose's wallet: $69

Step-by-step explanation:

Let the money in Dale's wallet be $X

Given Jose has 3 times money than what Dale has.

if Dale has $X then Jose has $3X.

Also Keiko has $8 less than Dale

if Dale has $X then Keiko has $X - $8

Also Keiko, Dale, and Jose have a total of $107 in their wallets.

Writing this in form of mathematical expression with their value of money in terms of X we have given below equation.

$X + $3X + $X - $8 = $107

=> $5X - $8 = $107

=> $5X = $107 + $8 = $115

=> X = $115/5 = $23.

Amount in Dale's wallet = $X = $23

Amount in Keiko's wallet = $X - $8 = $23 - $8 =$15

Amount in Jose's wallet = $3X = $3*23 = $69

6 0

3 years ago