Please help me with this

Assuming thay line WXZ is straight, what are the measure and classification of angle YXZ?

Talja [164]

It’s b.
because it’s would be 180-45

8 0

3 years ago

Use the four-step definition of the derivative to find f'(x) if f(x) = −4x^3 −1.

guapka [62]

$\stackrel{de finition \textit{ of a derivative as a limit}}{\lim\limits_{h\to 0}~\cfrac{f(x+h)-f(x)}{h}} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{[-4(x+h)^3-1]~~ - ~~[-4x^3-1]}{h} \\\\\\ \cfrac{[-4(x^3+3x^2h+3xh^2+h^3)-1]~~ ~~+4x^3+1}{h} \\\\\\ \cfrac{[-4x^3-12x^2h-12xh^2-4h^3-1]~~ ~~+4x^3+1}{h} \\\\\\ \cfrac{-4x^3-12x^2h-12xh^2-4h^3-1+4x^3+1}{h}\implies \cfrac{-12x^2h-12xh^2-4h^3}{h}$

$\cfrac{h(-12x^2-12xh-4h^2)}{h}\implies -12x^2-12xh-4h^2 \\\\\\ \lim\limits_{h\to 0}~-12x^2-12xh-4h^2\implies \lim\limits_{h\to 0}~-12x^2-12x(0)-4(0)^2 \\\\[-0.35em] ~\dotfill\\\\ ~\hfill \lim\limits_{h\to 0}~-12x^2~\hfill$

7 0

2 years ago

The pH of a substance added to a citrate buffer, y, depending on the ratio of citric acid to sodium citrate, x, can be modeled u

Charra [1.4K]

Answer:

Yes it's A. 0.79

Step-by-step explanation:

You plug in 6.5 into the y-value since it asks to find the ratio,x, if the pHis 6.5. Then you can solve using a calculator to get 0.79432, or 0.79

5 0

3 years ago

Read 2 more answers

Use long division to find the quotient below.

Tems11 [23]

Answer:

Step-by-step explanation:

2

x

2

+

5

x

+

3

=

(

x

+

1

)

(

2

x

+

3

)

Explanation:

2

x

2

+

5

x

+

3

=

2

x

2

+

2

x

+

3

x

+

3

=

2

x

(

x

+

1

)

+

3

(

x

+

1

)

=

(

x

+

1

)

(

2

x

+

3

)

[Ans]

7 0

4 years ago

Emily attends a Film Festival. The admission fee is $10. Each movie ticket cost $5 each. Emily wants to determine how many movie

Rashid [163]

Answer:

Emily can buy 6 movie tickets after paying the admission fee

Step-by-step explanation:

Let x be the number of movie tickets

If each movie ticket costs 5 dollars then the cost of x movies will be 5x

And the admission fee will be a constant.

She has $40 in total

So the equation can be written as

$10+5x = 40\\5x = 40-10\\5x = 30\\\frac{5x}{5} = \frac{30}{5}\\x = 6$

Hence,

Emily can buy 6 movie tickets after paying the admission fee

7 0

3 years ago