MATHEMATICS HIGH SCHOOL

Use the lim f(x)-f(a)/x-a to find the derivative. x->a

f(x)=-3x^2-5x+1 and point (1,-7)

Answers

Answer 1
Answer: Hello,

f(x)-f(a)= -3x²-5x+1-(-3a²-5a+1)=-3(x²-a²)-5(x-a)=-3(x-a)(x+a)-5(x-a)
=-(x-a)(3(x+a)+5)
=-(x-a)(3x+3a+5)

lim (f(x)-f(a))/(x-a)=- lim (3x+3a+5)=3a+3a+5=-6a-5
if a=1==>-6*1-5=-11

Otherwise
f'(x)=-6x-5
f'(1)=-6-5=-11



at point(1,-7)

Related Questions

#2 What is the equation of the horizontal asymptote for the following exponential graph?
A carton of paper is priced at $27.00 now. If the paper goes on sale for 25% off the current price, what will be the sale price of the carton?
How to write g(x)=2x+3/x+1 in the form of:g(x)=a/x+p +q
What is the answer to : 20 / 2(5+5)
A map has a scale of 1 cm to 2.3 km. The real-life distance between two towns is 69 km. What is the distance between the two towns on the map?

.
Pls help find the coordinate on the graph 25pts and brainliest

Answers

-7,-3

Step-by-step explanation:

it's simple...first we write the x-axis and then the y-axis....

hope it helpe buddy!!!

What is the lowest common denominator of 20 and 24

Answers

the lowest common denomenator is the smallest common factor of them so
20=1 times 2 times 2 times 5
24=1 times 2 times 2 times 2 times 3
the lowest common denomenator is 1


I think the question should have been. what is the greatest common factor (4) or what is the smallest common multiple (120)

How would you find the zeros of the function by rewriting the function in intercept form? Ex: y=x^2-12x+32

Answers

Answer:

The zeros are x=4, 8

Step-by-step explanation:

We have been given the function  y=x^2-12x+32.

Let us write this in intercept form by factoring the given function.

We can factor it by AC method.

We can write the middle term -12x = -8x-4x

y=x^2-12x+32\ny=x^2-8x-4x+32\n\text{Now we take GCF}\n\ny=x(x-8)-4(x-8)\n\ny=(x-8)(x-4)

Now, in order to find the zeros, we have

(x-8)(x-4)=0\n\nx=4,8

Therefore, the zeros are x=4, 8
The way i do it is factor x^2-12x+32 into (x-8)(x-4) then set each of those to zero which would look like 0=x-8 and 0=x-4. Then solve each equation and your answers would be x=8 and x=4

Which inequality is represented by this graph?

Answers

Answer: Choice B.  y \le -(1)/(3)x+1

=====================================================

Explanation:

We need to know the equation of the boundary line. This boundary goes through (0,1) and (3,0). Find the slope of the line through these points

m = (y2-y1)/(x2-x1)

m = (0-1)/(3-0)

m = -1/3, negative slope means the line goes downhill as we move from left to right.

The y intercept is b = 1 as this is where the boundary crosses through the y axis

y = mx+b turns into y = (-1/3)x+1 after replacing m and b with m = -1/3 and b = 1 respectively.

The equation of the boundary line is y = (-1/3)x+1

-------------

The shading is below the boundary, so we'll have a "less than" sign involved here. More specifically, we'll have a "less than or equal to" sign because the boundary is a solid line rather than a dashed one. A solid line tells us "points on the boundary are part of the solution set". The inclusion is because of the "or equal to" portion.

Change the equal sign to a less than or equal to sign to get the final answer of y \le -(1)/(3)x+1 which is choice B.

Which polynomial is factored completely? a) g^5 - g
b) 4g^3 + 18g^2 + 20g
c) 24g^2 - 6g^4
d) 2g^2 + 5g + 4

Answers

d) 2g² + 5g + 4 is the polynomial that is factored completely.
This is because the terms in the polynomial do not have any common factors.

a) g⁵ - g can be factored into g(g⁴ - 1)
b) 4g³ + 18g² + 20g can be factored into 2g(2g² + 9g + 10)
c) 24g² - 6g⁴ cab be factored into 6g²(4-g²)

Answer: D

Step-by-step explanation:

Which statement is true about the following system of equations?
3x-1/2y=1
x+2y=7

Answers

Many many true statements could be offered regarding those two equations.
Sadly, until you share the list of choices you're looking at, there's no way for
anyone to help you choose the best one.
\begin{cases} 3x- (1)/(2)y=1 \ \ / \cdot 4\n x+2y=7 \end{cases}\n\n\begin{cases} 12x- 2y=4 \n x+2y=7 \end{cases}\n+ -------\n13x = 11\ \ / :13\n\nx=(11)/(13)

x+2y=7 \n \n (11)/(13)+2y=7\n \n2y=7-(11)/(13) \n \n2y=(91)/(13)-(11)/(13)\n \n2y =(80)/(13)\ \ / \cdot ((1)/(2))\n \ny=(40)/(13) \n\n\begin{cases} x=(11)/(13)\n y= (40)/(13) \end{cases}

 
Other Questions
Which graph represents a proportional relationship? A.B.C.D.
Evaluate (1.18×103)⋅(9.1×10−6)
What is the area of a regular hexagon with an apothem 8.7 yards and a side 10 yards long
a number, half of that number, and one-third of that number are added. the result is 22. what is the number?