All categories

2 years ago

Find the slope for each of the order pair. (-2,-1) and (8,-3)

Mathematics

1 answer:

kondaur [170]2 years ago

4 0

Answer:

-0.2

Step-by-step explanation:

Slope (m) =ΔY/ΔX= 8-(-2)/-3-(-1)

= -1/5

= -0.2

You might be interested in

(X^4)-(45x^2)+324 what are the zeroes? And how many turning points?

dmitriy555 [2]

Zeroes:

We must solve

$x^4-45x^2+324=0$

To do so, we define the auxiliary variable $t=x^2$ . The equation becomes

$t^2-45t+324=0$

The quadratic formula yields the solutions

$t=9,\quad t=36$

Substituting back $t=x^2$ gives

$x^2=9 \iff x=\pm 3,\quad x^2=36 \iff x=\pm 6$

So, the zeroes are -6, -3, 3, 6.

Turning points:

Turning points are points where a function stops being increasing to become decreasing, or vice versa. Since functions are increasing when their first derivative is positive and decreasing when it's negative, turning points are points where the first derivative is zero.

We have

$f(x)=x^4-45x^2+324 \implies f'(x)=4x^3-90x$

If we set the derivative to be zero, we have

$4x^3-90x=0 \iff x(4x^2-90)=0$

So, the derivative is zero if x=0 or

$4x^2=90 \iff 2x^2=45 \iff x^2=\dfrac{45}{2}\iff x=\pm\sqrt{\dfrac{45}{2}}$

6 0

3 years ago

Work out the circumference of this circle take pi (3.142) and give your answer to one decimal place the diameter is 9m

bulgar [2K]

Answer:

28.3

Step-by-step explanation:

9x3.142=28.27800 and if you round that it is 28.3

4 0

3 years ago

To do his homework for a drafting class, Axel needs a round table with an area of at least 45ft. What is the area of his parent’

Natasha2012 [34]

Answer:

About 38.48ft

Step-by-step explanation:

A= $\pi$ $r^{2}$

A= $3.5^{2}$ $\pi$

A≈38.48

8 0

3 years ago

What is f(g(x)) for x > 5?

mel-nik [20]

Answer:

$\large\boxed{B.\ 4x^2-41x+105}$

Step-by-step explanation:

$f(x)=4x-\sqrt{x}\\\\g(x)=(x-5)^2\\\\f(g(x))\to\text{put}\ x=(x-5)^2\ \text{to}\ f(x):\\\\f(g(x))=f\bigg((x-5)^2\bigg)=4(x-5)^2-\sqrt{(x-5)^2}\\\\\text{use}\\(a-b)^2=a^2-2ab+b^2\\\sqrt{x^2}=|x|\\\\f(g(x)=4(x^2-2(x)(5)+5^2)-|x-5|\\\\x>5,\ \text{therefore}\ x-5>0\to|x-5|=x-5\\\\f(g(x))=4(x^2-10x+25)-(x-5)\\\\\text{use the distributive property:}\ a(b+c)=ab+ac\\\\f(g(x))=(4)(x^2)+(4)(-10x)+(4)(25)-x-(-5)\\\\f(g(x))=4x^2-40x+100-x+5\\\\\text{combine like terms}\\\\f(g(x))=4x^2+(-40x-x)+(100+5)\\\\f(g(x))=4x^2-41x+105$

6 0

3 years ago

Read 2 more answers

Graph the line that represents this equation<br> Y=-5x+2

defon

Answer:

i cant answer this in brainly because of lack of display but if you plug in y=5x+2 into mathaway it will show you on a graph

Step-by-step explanation:

5 0

3 years ago