Ask question

Ask question

All categories

FromTheMoon [43]

3 years ago

12

Explain how patterns are used in mathematics

1 answer:

jeka943 years ago

8 0

Answer:

shapes

Step-by-step explanation:

The patterns are shapes

You might be interested in

Consider the equation 8x + 5 = 37. Write a real-life scenario that this equation could model.8x+5-5=37-5 8x=32 8x/8=32/8 x=4

laila [671]

Answer: See the full explanation.

Step-by-step explanation:

You can actually do this using various life scenario. Let me help you with this example.

Suppose that one person is called Mike and he needs to buy something, here is your scenario for Mike to get what he want:

Mike wants to buy a pair of shoes that worth 37$ for a soccer game next week. He only has 5$ in his wallet. In order to get the remaining money, he decides to work in a market for a day. If the market pay 8$ per hour, how many hours does Mike need to have enough money to buy the shoes?.

This is the real life scenario. The equation is as above, because you can call "x" the number of hours needed, so as you solve the equation, you'll realize that the number of hours needed is 4:

8x + 5 = 37

8x = 37 - 5

8x = 32

x = 32/8 = 4 hours needed.

3 0

3 years ago

At the start of the year, 15 chameleons were introduced into a zoo. The population of chameleons is expected to grow at a rate o

bearhunter [10]

Answer:

option-B

Step-by-step explanation:

We are given

At the start of the year, 15 chameleons were introduced into a zoo

so, $P_0=15$

The population of chameleons is expected to grow at a rate of 41.42% every year

so, r=0.4142

and x represents the number of years since the chameleons were introduced into the zoo

now, we can set equation to find total population

and we get

$P(x)=P_0(1+r)^x$

now, we can plug values

$P(x)=15(1+0.4142)^x$

$P(x)=15(1.4142)^x$

Average rate of change between 2 years and 4 years:

we can use formula

$A_1=\frac{P(4)-P(2)}{4-2}$

now, we can plug values

$A_1=\frac{15(1.4142)^{4}-15(1.4142)^{2}}{4-2}$

$A_1=14.99914$

Average rate of change between 4 years and 6 years:

we can use formula

$A_2=\frac{P(6)-P(4)}{6-4}$

now, we can plug values

$A_2=\frac{15(1.4142)^{6}-15(1.4142)^{4}}{6-4}$

$A_2=29.99770$

Average rate of change between 6 years and 8 years:

we can use formula

$A_3=\frac{P(8)-P(6)}{8-6}$

now, we can plug values

$A_3=\frac{15(1.4142)^{8}-15(1.4142)^{6}}{8-6}$

$A_3=59.99425$

now, we will check each options

option-A:

we can see that

$A_3-A_2=30$

$A_3-A_2=30$

So, this is FALSE

option-B:

$A_1=\frac{1}{2}A_2$

So, this is TRUE

option-C:

This is FALSE

option-D:

we got

$A_1=\frac{1}{2}A_2$

so, this is FALSE

5 0

2 years ago

Find the slope of the line that passes through the coordinates (3,-6) and (-9,2)

JulsSmile [24]

9514 1404 393

Answer:

-2/3

Step-by-step explanation:

The slope formula is useful for this.

m = (y2 -y1)/(x2 -x1)

m = (2 -(-6))/(-9 -3) = 8/-12

m = -2/3

The slope of the line is -2/3.

__

The graph shows the two points and a line with a slope of -2/3.

4 0

2 years ago

The vertex of the parabola below is at the point (2,4), and the point (3,6) is

lukranit [14]

Answer:

A. y= 2(x - 2)2 + 4

Step-by-step explanation:

vertex having an x value of 2 means the phrase in paren must be x - 2.

This eliminates B and D

vertex having a y value of 4 is of no help as the remaining two equations will result in 4 if the x term is 2

plugging in x = 3 makes y = 6 in equation A, but not in equation C where y = 10

3 0

2 years ago

Delia paid $79.44 for 4 picnic chairs.

Rudik [331]

The answer is B, $19.86 because 79.44/4=19.86

6 0

2 years ago

Read 2 more answers