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choli [55]
2 years ago
7

find the derivative with respect to x of f(x)=4x , and use it to find the equation of the tangent line to y=4x at x= 5

Mathematics
1 answer:
seropon [69]2 years ago
4 0

Answer:

F(x)=4X X=5

F(5)=4X

4(5)

20

Y=4(20)

Y=80

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when 6 is subtracted from the square of a number, the result is 5 times the number. Find the negative solution.
sveta [45]

When 6 is subtracted from the square of a number, the result is 5 times the number, then the negative solution is -1

<h3><u>Solution:</u></h3>

Given that when 6 is subtracted from the square of a number, the result is 5 times the number

To find: negative solution

Let "a" be the unknown number

Let us analyse the given sentence

square of a number = a^2

6 is subtracted from the square of a number = a^2 - 6

5 times the number = 5 \times a

<em><u>So we can frame a equation as:</u></em>

6 is subtracted from the square of a number = 5 times the number

a^2 - 6 = 5 \times a\\\\a^2 -6 -5a = 0\\\\a^2 -5a -6 = 0

<em><u>Let us solve the above quadratic equation</u></em>

For a quadratic equation ax^2 + bx + c = 0 where a \neq 0

x=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}

Here in this problem,

a^2-5 a-6=0 \text { we have } a=1 \text { and } b=-5 \text { and } c=-6

Substituting the values in above quadratic formula, we get

\begin{array}{l}{a=\frac{-(-5) \pm \sqrt{(-5)^{2}-4(1)(-6)}}{2 \times 1}} \\\\ {a=\frac{5 \pm \sqrt{25+16}}{2}=\frac{5 \pm \sqrt{49}}{2}} \\\\ {a=\frac{5 \pm 7}{2}}\end{array}

We have two solutions for "a"

\begin{array}{l}{a=\frac{5+7}{2} \text { and } a=\frac{5-7}{2}} \\\\ {a=\frac{12}{2} \text { and } a=\frac{-2}{2}}\end{array}

<h3>a = 6 or a = -1</h3>

We have asked negative solution. So a = -1

Thus the negative solution is -1

6 0
3 years ago
Can anybody give me the answer
Elan Coil [88]

Answer:

I cannot see

Step-by-step explanation:

I would help

6 0
3 years ago
A television regularly selling for $500 is marked down to $300.  
Igoryamba
He saves $200 (the amount of change over the original amount $500

200/500  = 2/5  and 2/5 = 40%  (divide 2 by 5 and get .4 which = 40%)

40% discount is the answer to your question
3 0
3 years ago
A student bought a juice drink for $2 and a sandwich the total was &amp;6.50 how much was the sandwich
mel-nik [20]

Answer:

Step-by-step explanation:

you have to minus 6.50 by 2 and you get the answer the anwser is 4.5

6 0
3 years ago
What must be a factor of the polynomial function f(x) graphed on the coordinate plane below?
Mamont248 [21]

Answer: D.

Step-by-step explanation:

X+6

8 0
3 years ago
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