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lorasvet [3.4K]
3 years ago
15

How do I find and interpret slope​

Mathematics
2 answers:
user100 [1]3 years ago
8 0
If there’s a graph, draw a triangle and do rise/run.
If there are two given points use formula: (y2-y1)/(x2-x1) to find slope
Alex_Xolod [135]3 years ago
4 0

Answer:

The slope is the rise over run. The change in y over the change in x. Pick two points on a line and find the change. It is usually represented by m in the slope intercept form.

m=\frac{y_2-y_1}{x_2-x_1}

Pick two points on a line and use the formula m to find the slope, which represents the rate of change.

Step-by-step explanation:

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The region bounded by y = e−x2, y = 0, x = 0, and x = b (b > 0) is revolved about the y-axis. (Round your answers to three de
kari74 [83]

Answer:

0.982 * \pi  = 3.085 cubic units

Step-by-step explanation:

To find the volume of the solid generated by a region that is bounded by lines where x = 0 , x (b) = 2 we apply the formula given in the attachment below  

the required region boundaries are

y = e^-x2 , y = 0 ,  x = 0,  x = b ( b >0)

attached below is a detailed solution of the problem

6 0
3 years ago
HELP 40 POINTS
Tom [10]
Answer: the function g(x) has the smallest minimum y-value.


Explanation:


1) The function f(x) = 3x² + 12x + 16 is a parabola.


The vertex of the parabola is the minimum or maximum on the parabola.


If the parabola open down then the vertex is a maximum, and if the parabola open upward the vertex is a minimum.


The sign of the coefficient of the quadratic term tells whether the parabola opens upward or downward.


When such coefficient is positive, the parabola opens upward (so it has a minimum); when the coefficient is negative the parabola opens downward (so it has a maximum).


Here the coefficient is positive (3), which tells that the vertex of the parabola is a miimum.


Then, finding the minimum value of the function is done by finding the vertex.

I will change the form of the function to the vertex form by completing squares:

Given: 3x² + 12x + 16

Group: (3x² + 12x) + 16
Common factor: 3 [x² + 4x ] + 16
Complete squares: 3[ ( x² + 4x + 4) - 4] + 16
Factor the trinomial: 3 [(x + 2)² - 4] + 16
Distributive property: 3 (x + 2)² - 12 + 16
Combine like terms: 3 (x + 2)² + 4

That is the vertex form: A(x - h)² + k, whch means that the vertex is (h,k) = (-2, 4).


Then the minimum value is 4 (when x = - 2).


2) The othe function is <span>g(x)= 2 *sin(x-pi)
</span>

The sine function goes from -1 to + 1, so the minimum value of sin(x - pi) is - 1.


When you multiply by 2, you just increased the amplitude of the function and obtain the new minimum value is 2 (-1) = - 2


Comparing the two minima, you have 4 vs - 2, and so the function g(x) has the smallest minimum y-value.

7 0
3 years ago
Given functions f(x)=3x^2, g(x)= x^2-4x+5, and h(x)=-2x^2+4x+1<br> Rank them from least to greatest
Sindrei [870]
Ok, ranked by axis of symmetry

basically x=something is the axis of symmetry
the way to find the axis of symmetry is to convert to vertex form and find h and that's the axis of symmetry

but there's an easier way

for f(x)=ax^2+bx+c
the axis of symmetry is x=-b/2a
nice hack my teacher taught me


so

f(x)=3x^2+0x+0
axis of symmetry is -0/(3*2), so x=0 is the axis of symmetry for f(x)

g(x)=1x^2-4x+5,
axis of symmetry is -(-4)/(2*1)=4/2=2, x=2 is axis of symmetry for g(x)


h(x)=-2x^2+4x+1
axis of symmetry is -4/(2*-2)=-4/-4=1, x=1 is the axis of symmetry for h(x)


0<1<2
axisies
f(x)<h(x)<g(x)

order based on their axises of symmetry is f(x), h(x), g(x)
8 0
3 years ago
Write an inequality to describe the possible values of x.
Papessa [141]

Answer:

d

Step-by-step explanation:

x<9+7, and x+7>9

solve

x<16

x>2

2<x<16

6 0
3 years ago
Please help 15 points
daser333 [38]

Answer:

  1. x- + 10 y- +4
  2. not proportional

Step-by-step explanation:

i think the 1st one is wrong but hope this helps!

3 0
3 years ago
Read 2 more answers
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