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Sunny_sXe [5.5K]
2 years ago
15

Y = 6x2+36x+59 What is the vertex form

Mathematics
2 answers:
Sergeu [11.5K]2 years ago
7 0

Answer:

x=3

Step-by-step explanation:

       

babunello [35]2 years ago
6 0

Answer:

Step-by-step explanation:

Axis of Symmetry y=-6x^2+36x-12. y=−6x2+36x−12 y = - 6 x 2 + 36 x - 12 Rewrite the equation in vertex form.

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Suppose that the functions r and a are defined for all real numbers x as follows. r(x)=2x-1 S(x)=5x write the expressions for (r
NeTakaya

\boxed{(r-s)(x)=-3x-1} \\ \\ \boxed{(r\cdot s)(x)=10x^2-5x} \\ \\ \boxed{(r+s)(-2)=-15}

<h2>Explanation:</h2>

In this exercise, we have the following functions:

r(x)=2x-1 \\ \\ s(x)=5x

And they are defined for all real numbers x. So we have to write the following expressions:

First expression:

(r-s)(x)

That is, we subtract s(x) from r(x):

(r-s)(x)=2x-1-5x \\ \\ Combine \ like \ terms: \\ \\ (r-s)(x)=(2x-5x)-1 \\ \\ \boxed{(r-s)(x)=-3x-1}

Second expression:

(r\cdot s)(x)

That is, we get the product of s(x) and r(x):

(r\cdot s)(x)=(2x-1)(5x) \\ \\ By \ distributive \ property: \\ \\ (r\cdot s)(x)=(2x)(5x)-(1)(5x) \\ \\ \boxed{(r\cdot s)(x)=10x^2-5x}

Third expression:

Here we need to evaluate:

(r+s)(-2)

First of all, we find the sum of functions r(x) and s(x):

(r+s)(x)=2x-1+5x \\ \\ Combine \ like \ terms: \\ \\ (r+s)(x)=(2x+5x)-1 \\ \\ (r+s)(x)=7x-1

Finally, substituting x = -2:

(r+s)(-2)=7(-2)-1 \\ \\ (r+s)(-2)=-14-1 \\ \\ \boxed{(r+s)(-2)=-15}

<h2>Learn more: </h2>

Parabola: brainly.com/question/12178203

#LearnWithBrainly

5 0
3 years ago
(6x^2+40x+29)/(x+6)  what is the Quotient and Remainder
Lunna [17]
Are you sure  about the arrow up or down..
8 0
3 years ago
What is the answer to this problem
irina1246 [14]

The answer to 4x - 5y = 24 is (6, 0).

7 0
3 years ago
Please help! Correct answer only!
finlep [7]

Answer:

<em>" Expected Payoff " ⇒ $ 0.830</em>

Step-by-step explanation:

Consider the probability of entering 1 ticket out of the 1000 entered;

Total Tickets Entered - 1000 Tickets,\\Prize Won - 830 Dollars,\\Number of Tickets One Can Enter - 1 Ticket,\\\\Probability of Winning - 1 / 1000,\\Proportionality - 1 / 1000 = x / 830, If x = " Expected Payoff ",\\\\1 / 1000 = x / 830 - Cross Multiplication ,\\1000 * x = 830,\\x = 830 / 1000 = 0.830\\\\Conclusion ; x = 0.83

<em>Solution ; " Expected Payoff " ⇒ $ 0.830 ( might or might not include 0 at end )</em>

4 0
3 years ago
What is the gradient of the blue line?
anzhelika [568]

Answer:

.25 or 1/4

Step-by-step explanation:

to find gradient/ slope,

choose any two points on line and divide the difference in y- values over difference in x- values

i.e. (0, 1), (10, 3.5)

2.5/10=.25 or 1/4

4 0
3 years ago
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