Identify each expression that represents the slope of a tangent to the curve y= -x^3+17x^2-x+3 at any point (x,y).

Answers

Answer 1

Answer:

This is seriously so long I'm not sure it will even fit on a single line. The formula for the derivative using the limiting process is $\lim_(h \to 0) (f(x+h)-f(x))/(h)$ . And of course this is a problem because if h approaches 0, we would have a 0 in the denominator of that fraction and that is definitely not allowed! Every x in the function will be replaced with (x+h) to give us this: $\lim_(h \to 0) (-(x+h)^3+17(x+h)^2-(x+h)+3)/(h)$ . When we expand that we will get this very long numerator (I'm purposely leaving out the limit as h approaches 0 part to save space): $(-(x^3+2x^2h+xh^2+x^2h+2xh^2+h^3)+17x^2+34xh+17h^2-x-h+3-(-x^3+17x^2-x+3))/(h)$ . Simplifying that leaves us with this: $(-x^3-2x^2h-xh^2-x^2h-2xh^2-h^3+17x^2+34xh+17h^2-x-h+3+x^3-17x^2+x-3)/(h)$ . We have a lot of terms that cancel each other out so when we do that we are left with $\lim_(h \to 0) (-3x^2h-3xh^2-h^3+34xh+17h^2-h)/(h)$ . That is one of your choices for answers, the third one down on the left to be specific. Now we can factor out an h: $\lim_(h \to 0) (h(-3x^2-3xh-h^2+34x+17h-1))/(h)$ . That h on the top outside the parenthesis cancels with the h on the bottom. Now, as h approaches 0 we have no problems! Yay! That means when we now replace h with 0, we have this: $-3x^2-0-0+34x+0-1$ , or simplified we have $-3x^2+34x-1$ which is also a choice for your answers, top one on the right. Those are your 2 answers for that dertivative. It's much simpler when you learn the rules!

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Can you do a number line with no solution set.

Answers

yes
all you do is draw a line and put numbers on it

Which value is needed in the expression below to create a perfect square trinomial?x2+8x+______

4
8
16
64

Answers

Answer:

Step-by-step explanation:

i know because i did the test

Answer:

16 for people with ads i really need brainliest

Step-by-step explanation:

The measure of W is 134°, the measure of Y is 46°, and the measure of Z is 134°.What is the measure of X?
a 40°
b 46°
c 134°
d 90°

Answers

The angles in any quadrilateral must add up to 360 degrees.
A trapezoid is a quadrilateral, because it has four sides.

$W+X+Y+Z=360 \n \n (134)+X+(46)+(134)=360 \n \n 314+X=360 \n \n X=46$

Angle X is (b) 46 degrees.

B. 46 because the measure of all of the angles in a quadrilateral is 360. If you add 134+46+134 it equals 314, and 360-314 is 46.

How would you solve the following geometry problem?:∆PQR, find the measure of ∡P.

In Triangle PQR where angle Q is a right angle. QR measures 33 point 8; PQ measures 57 point 6; measure of angle P is unknown.

Answers:
30.4°

35.9°

54.1°

59.6°

What I did:
equation: tan(x) = 33.8/57.6
tan(x)=0.56
But I know that isn't correct.

Answers

What you did is correct. However the one you get is the tangent value of x. you have to find out the tan inverse of that value to find out the actual degree.

tan(x) = 33.8 / 57.6
tan(x) = 0.587
x = tan^-1 (0.587)
x = 30.4 degrees

Tran is solving the quadratic equation 2x2 – 4x – 3 = 0 by completing the square. His first four steps are shown in the table.In which step did Tran first make an error?
Step 1
Step 2
Step 3
Step 4

Answers

The answer is Step 3.

If 5x+4y=23 and 4x+5y=22, then what is the value of (x + y)

Answers

Answer:

x=3 and y=2

Step-by-step explanation:

I plugged in a lot of numbers until it worked out.

5(3) + 4(2) = 15+8 which equals 23

then 4(3) + 5(2) = 12+10 which equals 22.

hope that helps!

x=3 and y=2

3+2=5

yay

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