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4 years ago

Are the ratios 3:9 and 21:27 equivalent? Why or why not?

Mathematics

2 answers:

Nastasia [14]4 years ago

7 0

Answer:

Not equivalent

Step-by-step explanation:

Given:

3:9 and 21:27

We see that

21:27= 7:9

Comparing:

3:9 < 7:9

They have same denominator but different numerator, hence they are different

cluponka [151]4 years ago

6 0

Answer: No

Step-by-step explanation:

No there are not since 3 times 7 = 21 and 9 times 3 = 27. The numbers that are used to multiply for the answers, 7 and 9, are not the same so therefore both ratios are not equivalent.

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Which of these intervals has an average rate of change that is less than 1/4

RideAnS [48]

Answer:

Interval [b,c] and interval [c,d]

Step-by-step explanation:

a(-5,0)

b(-1,2)

c(4,3)

d(11,4)

The average rate of change is the the total rise over the total run.

The Rise means the vertical increase and the Run means horizontal incease.

For interval [a,b]

rate of change is $\dfrac{2-0}{-1-(-5)}=\dfrac{2}{4}=\dfrac{1}{2}$

For [b,c]

$\frac{3-2}{4-(-1)}=\frac{1}{5}$

For [c,d]

$\dfrac{4-3}{11-4}=\dfrac{1}{7}$

8 0

3 years ago

F(x) = x°-9x

laila [671]

F(x)=x^3-9x
and
g(x)=x^2-2x-3

so you just need to divide f(x) by g(x)

Therefore:

f(x)/g(x) = (x^3-9x) / (x^2-2x-3)

and of course you need to factor these two function to see if some factor would cancel another

x^3-9x = x(x^2-9)=x(x-3)(x+3)
and
x^2-2x-3 = (x-3)(x+1)

8 0

3 years ago

You and a friend went to the movies. You decide to get some snacks. You got 2 boxes of candy that cost $3.49 for each box. You a

Dima020 [189]

Answer:

You and your friend spent $17.30 together

Step-by-step explanation:

3.49 x 2 = 6.98

6.98 + 4.82 = 11.8

11.8 + 5.50 = 17.3

3 0

3 years ago

What is one tenth of 24

BlackZzzverrR [31]

So,

One tenth of 24 is the same as this:
$\frac{1}{10} * \frac{24}{1}$

Multiply
$\frac{24}{10}\ or\ \frac{12}{5}\ or\ 2 \frac{2}{5}\ or\ 2.4$

6 0

3 years ago

the graph shown below expresses a redical function that can be written in the form f(x)= a(x+k)^1/n + c. what does the graph tel

Oliga [24]

The value of n given the form of the function is (b) positive odd number

<h3>How to interpret the graph?</h3>

The form of the graph is given as:

f(x) = a(x + k)^1/n + c

For the given graph, we have the following features:

a > 0 --- a is positive

k > 0 --- k is positive

c < 0 --- c is negative

If n is an even number, the function would be undefined because the even root of a number is undefined

However, the function is defined if n is an odd number,

Hence, the value of n given the form of the function is a positive odd number