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3 years ago

Why 6:4 and 18:8 are not equivalent ratios

Mathematics

2 answers:

Triss [41]3 years ago

6 0

Answer:

False, 6:4 and 18:8 are equal ratios.

Step-by-step explanation:

Given data:

6:4 ≠ 18:8

Explanation.

1. 6:4 = 6/4 = 3/2

2. 18:8= 18/8 = 9/4 = 3/2

Hence proved:

6:4 = 18:8

AlexFokin [52]3 years ago

4 0

Step-by-step explanation:

To see whether ratios are equivalent you would try to simplify them by multiplying the number and denominator by the same number in way that they don’t become decimals.

6:4 can be divided by 2 to make its simplest form of 3:2. However 18:8 can also be divided creating its simplest from of 9:4. Since 9:4 and 3:2 aren’t the same they aren’t equivalent ratios.

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What is the solution set of -x^2-6<0 ?

natita [175]

Answer:

All real numbers

Step-by-step explanation:

Let's solve your inequality step-by-step.

−x2−6<0

Let's find the critical points of the inequality.

−x2−6=0

−x2−6+6=0+6(Add 6 to both sides)

−x2=6

−x2

−1

(Divide both sides by -1)

x2=−6

x=±√−6(Take square root)

3 0

3 years ago

The diagram represents an enlargement of a rectangle by a scale factor of 4.

Tpy6a [65]

Answer:

D. 16 inches by 8 inches

Step-by-step explanation:

We have been given an image of two rectangles and we are asked to find the dimensions of the enlarged rectangle.

Since we have been given that the original rectangle is enlarged b a scale factor of 4, so to find the dimensions of enlarged rectangle we will multiply the dimensions of original rectangle by 4.

$\text{Length of enlarged rectangle}=4\times 4\text{ inch}$

$\text{Length of enlarged rectangle}=16\text{ inch}$

$\text{Width of enlarged rectangle}=4\times 2\text{ inch}$

$\text{Width of enlarged rectangle}=8\text{ inch}$

Therefore, the dimensions of enlarged rectangle are 16 inches by 8 inches and option D is the correct choice.

6 0

3 years ago

Read 2 more answers

15x+18y = -4 in slope intercept form

Alex Ar [27]

Answer:

y= -5/6x-2/9

the / is a fraction

Step-by-step explanation:

3 0

3 years ago

How do you solve this

PilotLPTM [1.2K]

Since 3=30/10, (30+1)/10=31/10. 31s/10=(30+1)/5 ( we get 30 because 5*6=30) = 31/5. Multiplying both sides by 10, we get 31s=62 (since 5 is a factor of 10, we can do 10/5 =2 and multiply 2 by 31). Dividing both sides by 31, we get s =2

7 0

3 years ago

5. Using complete sentences, explain how to find the average rate of change for f(x) from x = 4 to x = 7. my equation is F(x) =

Alik [6]

The average rate of change of function describes the average rate at which y-value ( or f(x)) is changing with respect to changing x-value.
The average rate of change= $\frac{ y_{1}- y_{2} }{ x_{1} - x_{2} }$ In this exaple is x1=4 and x2=7 and we will find y1 and y2:
y1=3(4-3)²+4=3*1+4=7
y2=3(7-3)²+4=3*16+4=48+4=52
Finally: $\frac{52-7}{7-4}= \frac{45}{3} =15$
Answer: The average rate of change for f(x) from x=4 to x=7 is 15.

3 0

3 years ago