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Serga [27]
3 years ago
7

30 POINTS HELPPP 2. How many equivalent fractions can you write for a given fraction? Explain.

Mathematics
1 answer:
marusya05 [52]3 years ago
5 0
Infinite, multiply it by any number divided by itself.
Ex. 1/2*2/2= 2/4
1/2*4/4=4/8 etc.
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Graph f(x) = log5 (x-3).
Natali5045456 [20]

Step-by-step explanation:

We want to graph:

f(x) =\log_{5}(x - 3)

We first graph the parent function

g(x) =\log_{5}(x)

This parent function has x-intercept at (1,0) and it is asymptotic to the y-axis.

We then shift the graph of the parent function 3 units right, to obtain the graph of

f(x) =\log_{5}(x - 3)

The new x-intercept will be (4,0) and vertical asymptote will now be x=3.

See attachment.

6 0
3 years ago
A spotlight on the ground shines on a wall 12 m away. If a man 2 m tall walks along the x-axis from the spotlight toward the bui
tester [92]

Answer:

(dy/dt) = - 0.45 m/s (the minus sign indicates that the height of the shadow decreases as the man moves towards the wall).

Step-by-step explanation:

An image of the problem is presented in the attached file to this solution. The image shows the exact moment when the 2m tall man is 4m away from the wall.

First of, when the man is 4m away from the wall, he is 8m away from the spotlight, that is, x = 8m

Using the concept of similar triangles, we can obtain the value of y at this point.

(x/2) = [(x+4)/y]

x = 8

(8/2) = (12/y)

y = 3m when x = 8m

From the image,

But generally, for x and y at any point,

(x/2) = (12/y)

xy = 24

Differentiating with respect to t

(d/dt)(xy) = (d/dt)12

y (dx/dt) + x (dy/dt) = 0

x (dy/dt) = - y (dx/dt)

At x = 8m, y = 3m, (dx/dt) = 1.2 m/s

8 (dy/dt) = - 3 (1.2)

(dy/dt) = - 3.6/8 = - 0.45 m/s

The minus sign indicates that the height of the shadow decreases as the man moves towards the wall.

7 0
3 years ago
when asked to factor the x^2 - 100, a student gives the answer (x -10) (x-10). what is wrong with this answer?
aalyn [17]

x^2-100\\\\=x^2-10^2\\\\=(x+10)(x-10)\\\\\text{The difference of two  squares formula is}~ a^2 -b^2 =(a+b)(a-b),\\\\\text{So, the student did not apply it properly}

3 0
1 year ago
What is <br> 2x+y=0 5x+3y=-11
miv72 [106K]

2x+y=0\qquad\text{subtract 2x from both sides}\\\\y=-2x\\\\\text{Put it to the second equation}\ 5x+3y=-11:\\\\5x+3(-2x)=-11\\\\5x-6x=-11\\\\-x=-11\qquad\text{change the signs}\\\\\boxed{x=11}\\\\\text{Put the value of x to the first equation:}\\\\y=-2(11)\\\\\boxed{y=-22}\\\\Answer:\ \boxed{x=11\ and\ y=-22}

4 0
3 years ago
Find an invertible matrix P and a matrix C of the form such that the matrix A has the form A. The eigenvalues of A are and with
Drupady [299]

Answer:

Hello your question is incomplete attached below is the correct question

and the solution

answer: A

Step-by-step explanation:

attached below is a detailed solution of the given problem

There exists P and C such that ( ∵ λ1 ≠ λ21 so A is diagonalizable )

5 0
3 years ago
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