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2 years ago

14

How can you express 5 1/3 + (-7 2/3) as the sum of its integer and fractional parts

1 answer:

Yuliya22 [10]2 years ago

6 0

Answer:

-7/3

Step-by-step explanation:

-7 2/3=-23/3

5 1/3=16/3

-----------------

16/3+(-23/3)

16/3-23/3

-7/3

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Let f(x) = 1/x . Find the number b such that the average rate of change of f on the interval [2, b] is − 1/8

vekshin1

Answer:

b=4

Step-by-step explanation:

So, we have the function $f(x)=1/x$ . We need to find b such that the average rate of change or the slope is -1/8 between the intervel [2, b]. First, let's find f(2).

f(2) = 1/(2) = 1/2

So, we have the point (2, 1/2)

At point b, f(b) = 1/b.

Let's plug this into the slope formula:

$\frac{y_2-y_1}{x_2-x_1}=\frac{.5-\frac{1}{b} }{2-b} =-1/8$

Now, we just need to solve for b. First, let's multiply both the numerator and denominator by b (to get rid of the annoying fraction in the numerator).

$\frac{.5b-1}{2b-b^2} =\frac{-1}{8}$

Now, cross multiply.

$4b-8=b^2-2b$

$b^2-6b+8=0$

Solve for b. Factor using the numbers -4 and -2.

$=(b-4)(b-2)=0$

Thus, b=4 or b=2.

However, b=2 is not a possible solution since the interval [2,2] means nothing. Thus, b=4.

4 0

2 years ago

Od<br> 2<br> (<br> 2 7 1-3<br> 1 3 1-2<br> 6:1-6<br> b =<br> d =<br> IDONE

Lena [83]

Answer:

$a = \boxed{1},\: b=\boxed{0}\\\\c=\boxed{0},\: d=\boxed{1}$

Step-by-step explanation:

$\begin{bmatrix} 2 & 7\\\\1 & 3\end{bmatrix}\:\begin{bmatrix} -3 & 7\\\\1 & -2\end{bmatrix}=\begin{bmatrix} a & b\\\\c & d\end{bmatrix}$

Multiply both the matrices on left side, we find:

$\begin{bmatrix} 2(-3)+7(1) & 2(7)+7(-2)\\\\1(-3)+3(1) & 1(7)+3(-2)\end{bmatrix}=\begin{bmatrix} a & b\\\\c & d\end{bmatrix}$

$\rightarrow\begin{bmatrix} -6+7 & 14-14\\\\-3+3 & 7-6\end{bmatrix}=\begin{bmatrix} a & b\\\\c & d\end{bmatrix}$

$\rightarrow\begin{bmatrix} 1 & 0\\\\0 & 1\end{bmatrix}=\begin{bmatrix} a & b\\\\c & d\end{bmatrix}$

Comparing the corresponding elements of both the matrices on both sides, we find:

$a = \boxed{1},\: b=\boxed{0},\:c=\boxed{0},\: d=\boxed{1}$

7 0

2 years ago

Type the correct answer in the box. Use numerals instead of words.

vazorg [7]

Answer:

30%

Step-by-step explanation:

plato

4 0

3 years ago

From sam’s house it is 6 2/5 miles to the beach and 4 3/7 miles to the ball park how much closer is his house to the ball park t

butalik [34]

His house is two miles closer to the ball park than the beach.

3 0

3 years ago

Read 2 more answers

Which of the following is the graph of:<br>(x-3)^2+(y+1)^2=9?

Marianna [84]

<h3>Answer: Choice A</h3>

center = (3, -1)

radius = 3

==================================================

Explanation:

Rewrite the y+1 as y-(-1). Rewrite the 9 as 3^2

Then compare to the general form (x-h)^2+(y-k)^2 = r^2

You should find that h = 3, k = -1 and r = 3.

The center is (h, k) = (3,-1) and the radius is r = 3.

Choice A matches with that description.

8 0

2 years ago