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3 years ago

What is the interval of increase and decrease of f(x)= (x-4)^2 -1

Mathematics

1 answer:

nevsk [136]3 years ago

3 0

Answer:

(−∞,4)

Step-by-step explanation:

Explanation:

To determine the interval that f(x) is increasing.

increasing when f'(x)>0f'(x)=−2(x−4)← using chain rule

solve −2(x−4)>0

⇒−2x+8>0

⇒x<4

interval is (−∞,4)

graph{-(x-4)^2-3 [-8.89, 8.89, -4.445, 4.44]}

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Salsk061 [2.6K]

Answer:

69cm ^2

Step-by-step explanation:

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3 years ago

Lola rolls two fair number cubes. What is the probability that the two numbers Lola rolls include at least one 4 and have a prod

Oxana [17]

Lola rolls two fair number cubes what is the probability that the two numbers Lola rolls include at least one 4 and have product of at least 16? Probably half of a chance

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3 years ago

What is the factored form of the expression? d^2 = 36d + 324

Veseljchak [2.6K]

Answer:

$(x-43.45)(x+7.45)=0$

Step-by-step explanation:

We have the quadratic equation $d^{2}=36d+324$ i.e. $d^{2}-36d-324=0$

As, the roots of the quadratic equation $ax^{2}+bx+c=0$ are given by $x=\frac{-b\pm \sqrt{b^{2}-4ac}}{2a}$ .

So, from the given equation, we have,

a = 1, b = -36 , c = -324.

Substituting the values in $x=\frac{-b\pm \sqrt{b^{2}-4ac}}{2a}$ , we get,

$x=\frac{36\pm \sqrt{(-36)^{2}-4\times 1\times (-324)}}{2\times 1}$

i.e. $x=\frac{36\pm \sqrt{1296+1296}}{2}$

i.e. $x=\frac{36\pm \sqrt{2592}}{2}$

i.e. $x=\frac{36\pm 50.9}{2}$

i.e. $x=\frac{36+50.9}{2}$ and $x=\frac{36-50.9}{2}$

i.e. $x=\frac{86.9}{2}$ and $x=\frac{-14.9}{2}$

i.e. x = 43.45 and x = -7.45

Thus, the roots of the equation are 43.45 and -7.45.

Hence, the factored form of the given expression will be $(x-43.45)(x+7.45)=0$

3 0

3 years ago

Can you show how you did it? 8.31 - 3.43 =

d1i1m1o1n [39]

Answer:

4.68

Step-by-step explanation:

Remember to line up the decimal point. Subtract as ordinarily.

8.31

-3.43

--------

4.68

4.68 is your answer

7 0

3 years ago

What is the range of this relation (3,2) (-3,0) (-4,0) (-2,4)

Sveta_85 [38]

Answer:

-4 to 3

Step-by-step explanation:

look at the first number in each set then find the smallest and the biggest that is how you find range

4 0

3 years ago