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3 years ago

complete the square to determine the minimum or maximum value of the function defined by the expression -x^2-4x+15

1 answer:

8 0

$- {x}^{2} - 4x + 15 \\ = - {x}^{2} - 4x - 4 + 15 + 4 \\ = - ( {x}^{2} + 4x + 4) + 19 \\ = \underbrace{- {(x + 2)}^{2}}_{ \leqslant 0} + 19 \\ \Rightarrow - {(x + 2)}^{2} + 19 \leqslant 19 \\ \Rightarrow Maximum \: value \: is \: 19 \: as \: x=-2$

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HeLp with math pls!!!!

natulia [17]

Hi,

Work:

Equation;

$( {2}^{4} )^{2} = {2}^{n}$

Write an expression in the exponential form with a base of 2.

${2}^{8} = {2}^{n}$

Since bases are the same, set the exponents equal.

$8 = n$

Switch the sides (RESULT)

$n = 8$

Hope this helps.
r3t40

4 0

3 years ago

Help please i really need help with this problem it’s so hard please please help

N76 [4]

Answer:

<6 = 68

Step-by-step explanation:

<5 + <6 + 90 = 180 since the 3 angles form a straight line

22 + <6 + 90 =180

Combine like terms

112+ <6 = 180

Subtract 112 from each side

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<6 =68

8 0

4 years ago

Read 2 more answers

Solve the following equations:<br> a)<br> 4b = 20

Sidana [21]

B=5
You need to get b by itself on the left side. 4b is multiplying 4 to b. You need to the opposite when you want the variable by itself. You would divide 4 to each side. 4 cancels out on the b so it turns into b. Then 4 divided by 20 is 5. B=5

6 0

3 years ago

Read 2 more answers

WILL GIVE 100 POINTS

padilas [110]

(a) The explicit rule to model the sequence formed by the number of seats in each row is $a_{n}=15+3n$

(b) The 35th row has 120 seats

Step-by-step explanation:

The rule of the nth term of an arithmetic sequence is

$a_{n}=a+(n-1)d$ , where

a is the the first term
d is the common difference between each two consecutive terms

∵ There are 18 seats in the 1st row

∵ There are 21 seats in the 2nd row

∵ 21 - 18 = 3

∵ The number of seats is increased by 3 with each additional row

- The number of seats in each row represents an arithmetic

sequence because there is a common difference between

each two consecutive rows

∴ The number of seats in each row formed an arithmetic sequence

∵ The number of seats in the first row = 18 seats

∴ a = 18

∵ The number of seats in a row continues to increase by 3 with each

additional row

∴ d = 3

- Substitute the values of a and d in the rule of nth term

∴ $a_{n}=18+(n-1)3$

- Simplify the right hand side

∴ $a_{n}=18+3n-3$

- Add like terms

∴ $a_{n}=15+3n$

(a) The explicit rule to model the sequence formed by the number of seats in each row is $a_{n}=15+3n$

∵ There are 120 seat in a row

- Substitute $a_{n}$ by 120 in the rule above

∴ 120 = 15 + 3n

- Subtract 15 from both sides

∴ 105 = 3n

- Divide both sides by 3

∴ n = 35

∴ The number of the row is 35

(b) The 35th row has 120 seats

Learn more:

You can learn more about the sequences in brainly.com/question/7221312

#LearnwithBrainly

6 0

3 years ago

PLS HELP ITS TIMED

8_murik_8 [283]

A. Ten seconds is your answer

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3 years ago