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1 year ago

4. Find the number of paths between c and d in the graph of length

Mathematics

1 answer:

Alika [10]1 year ago

6 0

The number paths between c and d of length 2.

<h3>What are the number paths?</h3>

A counting model is a number path. Rectangles symbolize numbers, and it is possible to count each rectangle. Like a ruler, a number line is a model of length. The length starting at zero is used to represent each integer.
A number path offers a more reassuring representation of numbers, which is crucial since we want representations that constantly assist pupils in gaining confidence and correctly resolving issues.
Start adding the first number in the number sentence and work your way to the right after that. Starting with the largest number in the number sentence, go to the left on the number line to subtract. Skip counting by the number you are multiplying by when you multiply.

Find the number of paths between c and d in the graph of length:

The number of paths between c and d is 0.

There is the number of paths between c and d of length 2.

To learn more about the number of paths, refer to:

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Part A The ordered pair that represents the intersection of the x-axis and y-axis is called the _ A endpoint B origin C x coordi

lianna [129]

Answer: Part A. B origin Part B. C(0,0)

Step-by-step explanation:

In a coordinate plane, there are two axes

1) x-axis which is the horizontal axis.

2) y-axis which is the vertical axis.

The intersection of both the axes is known as the origin whose coordiantes are (0,0), i.e. at this point value of x =0 and value of y =0.

Part A: The ordered pair that represents the intersection of the x-axis and y-axis is called the <u>origin</u>.

Part B: The coordinate. Part B the coordinates of the origin are <u>(0,0)</u>.

3 0

3 years ago

The exponential function f(x) = 3(5)x grows by a factor of 25 between x = 1 and x = 3. What factor does it grow by between x = 5

notsponge [240]

<h2> Question # 1</h2>

Answer:

25 is the factor which grows by between x = 5 and x = 7.

Step-by-step explanation:

Considering the exponential function

$f\left(x\right)\:=\:3\left(5\right)^x$

The growth factor between $x=1$ and $x=3$ is given by:

$\left[3\left(5\right)^3\right]\div \left[3\left(5\right)^1\right]$

$\mathrm{Calculate\:within\:parentheses}\:\left[3\left(5\right)^3\right]\::\quad 375$

$\mathrm{Calculate\:within\:parentheses}\:\left[3\left(5\right)^1\right]\::\quad 15$

So,

= $375\div \:15$

= $25$

Similarly, growth factor between $x=5$ and $x=7$ is given by:

$\left[3\left(5\right)^7\right]\div \left[3\left(5\right)^5\right]$

= $\frac{3\cdot \:5^7}{3\cdot \:5^5}$

$\mathrm{Divide\:the\:numbers:}\:\frac{3}{3}=1$

= $\frac{5^7}{5^5}$

$\mathrm{Apply\:exponent\:rule}:\quad \frac{x^a}{x^b}=x^{a-b}$

$\frac{5^7}{5^5}=5^{7-5}$

= $5^{7-5}$

= $5^2$

= $25$

Therefore, 25 is the factor which grows by between x = 5 and x = 7.

<h2> Question # 2</h2>

Answer:

The population be in 24 years will be 27000.

Also, the population growth modeled by an exponential function as $y=A\cdot \left(b\right)^t$ is an exponential function.

The graph for $y=A\cdot \left(b\right)^t$ is also shown in attached figure.

Step-by-step explanation:

If a city that currently has a population of 1000 triples in size every 8 years.
what will the population be in 24 years?
Is the population growth modeled by a linear function or an exponential function?

As the city that currently has a population of 1000 triples in size every 8 years.

So, for this case

$y=A\cdot \left(b\right)^t$

where

$A$ = Initial population amount

$b$ = growth rate

$t$ = time

Substituting the values in the function

$y=A\cdot \left(b\right)^t$

$y=1000\cdot \:\:3^{\frac{1}{8}t}$

So, the population be in 24 years

$y=1000\cdot \:\:3^{\frac{1}{8}24}$

$3^{\frac{1}{8}\cdot \:24}=3^3$

$\:y=3^3\cdot 1000$

$y=1000\cdot \:\:27$

$y=27000$

Therefore, the population be in 24 years will be 27000.

Also, the population growth modeled by an exponential function as $y=A\cdot \left(b\right)^t$ is an exponential function.

<h2 /><h2> Question # 3</h2>

Answer:

the graph of the function will translate horizontally 3/5 units right.

Step-by-step explanation:

We have to find the effect on the graph of the function $f(x)=2x$ when it is replaced by f(x- 3/5).

We already have an idea that rule for horizontal translation:

Given a function $f(x)$ , and a constant c > 0, the function $g(x) = f(x - a)$ represents a horizontal shift c units to the right from f(x). The function $h(x) = f(x + a)$ represents a horizontal shift c units to the left.

As 3/5 > 0, so the graph of the function will translate horizontally 3/5 units right.

Therefore, the graph of the function will translate horizontally 3/5 units right.

Keywords: exponential function, translation function, growth factor

Learn more about exponential function and growth factor form brainly.com/question/10147339

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3 years ago

How does x/2-12=-14 I don’t understand where the negative comes from

goblinko [34]

Solve x by simplifying both sides of the equation & then isolating the variable x=-4 & the negative comes in from the -12

4 0

3 years ago

Pls help me I kinda don’t get it.

suter [353]

A). Pi m

Explanation:

Arc length formula:

Arc length = (Ø/360°) * 2*Pi*r
Ø = given angle (degrees)
r = radius

Plug given numbers in:

(45°/360°)* 2* Pi * 4
This will give you the answer of Pi

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3 years ago

Students at a school were asked to nominate their favorite teachers for an award. These were the results: 57% voted for Ms. Jone

Vesnalui [34]

Can we get a picture of the graphs ?

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3 years ago

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