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3 years ago

7

Plsss help will mark brainliest

2 answers:

Nataliya [291]3 years ago

8 0

The correct one is letter c

DiKsa [7]3 years ago

3 0

C, because 7 divided, or over nine, is 7/9
Hope this helps!

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Find the values of m and b that make the following function differentiable.

KengaRu [80]

$f(x)=\begin{cases}x^2&\text{for }x\le2\\mx+b&\text{for }x>2\end{cases}$

In order to be differentiable everywhere, $f$ must first be continuous everywhere, which means the limits from either side as $x\to2$ must be the same and equal to $f(2)$ . By definition, $f(2)=2^2=4$ , and

$\displaystyle\lim_{x\to2^-}f(x)=\lim_{x\to2}x^2=4$

$\displaystyle\lim_{x\to2^+}f(x)=\lim_{x\to2}(mx+b)=2m+b$

so we need to have $4m+b=4$ .

For $f$ to be differentiable at $x=2$ , the derivative needs to be continuous at $x=2$ , i.e.

$\displaystyle\lim_{x\to2^-}f'(x)=\lim_{x\to2^+}f'(x)$

We then need to have

$\displaystyle\lim_{x\to2}2x=\lim_{x\to2}m\implies\boxed{m=4}$

Then

$2m+b=4\implies\boxed{b=-4}$

7 0

3 years ago

What is the volume of a tank that can hold 18 754 Kg of methanol whose density is 0.788g/cm3

Alenkasestr [34]

Density = Mass / Volume
(0.788) = (18.754) / V
0.788V = 18.754
V = (18.754) / (0.788)
V = 23.799

6 0

4 years ago

- 7/9 • 5/7 <br> And subscribed to my YouTube alyha_diys

MAVERICK [17]

-5/9 and sure thing alyha_diys

3 0

3 years ago

Read 2 more answers

T is the midpoint of KL. K has coordinates (2,−6), and T has coordinates (−4,2). Identify the coordinates of L.

kotykmax [81]

Answer:

$L = (-10,10)$

Step-by-step explanation:

Given

$K = (2,-6)$

$T = (-4,2)$

Required

Determine the coordinates of L

Since T is the midpoint of K and L, we make use of:

$T_x = \frac{K_x + L_x}{2}$

and

$T_y = \frac{K_y + L_y}{2}$

Solving for $L_x$

$T_x = \frac{K_x + L_x}{2}$

$-4 = \frac{2 + L_x}{2}$

Multiply through by 2

$-8 = 2 + L_x$

$L_x = -8 - 2$

$L_x = -10$

Solving for $L_y$

$T_y = \frac{K_y + L_y}{2}$

$2 = \frac{-6+L_y}{2}$

Multiply through by 2

$4 = -6 + L_y$

$L_y = 4 + 6$

$L_y = 10$

Hence: The coordinates of L is:

$L = (-10,10)$

6 0

3 years ago

Consider this expression:

Tema [17]

8(4a+2b)
The equivalent is 32a+16b (B)

4 0

3 years ago