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3 years ago

I am in need of help !!

Mathematics

2 answers:

mixas84 [53]3 years ago

5 0

Answer:

Y intercept is 0, slope is 15

Step-by-step explanation:

Hi! This is 2023elliottsg I just now found your question, the y intercept is 0 because the line meets the y axis at (0,0)

the slope is 30/2 which simplifies to 15 because from point (4,60) it rises 30 and runs 2 over to point (6,90)

S_A_V [24]3 years ago

3 0

Answer:

See below

Step-by-step explanation:

Hello! I see your teacher is a Harry Potter fan. Anyways,

1) The y-intercept is when you plug x as 0 or it's when the line crosses the y axis. The easiest way to find the y-intercept is to look at the graph and see where the graph starts off from the y axis.

We can see that the line starts off from (0,0) so the y-intercept is (0,0).

In this case, the y-intercept represents the initial income when you haven't start working yet.

2) The formula for slope is y2-y1/x2-x1. We can find any two points on the line to do this equation. Lets take (0,0) and (2,30).

Let's now plug in the y, 30 - 0

And then the x, 2 - 0

Together they are 30 - 0/ 2 - 0

Or 30/2 = 15.

The slope is 15

In this case, the slope represents the amount of income earned per hour/every hour.

You might be interested in

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

#learnwithBrainly

6 0

3 years ago

Light travels at 3.0×10^8 kilometers how far does light travel in five minutes

34kurt

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8 0

2 years ago

Evaluate 1/2m - 2/3n when m = 3 and n = 8.

Anika [276]

Answer:

1/2(3)-2/3(8)

3/2-9/3

2.3

7 0

3 years ago

Could someone please help me with this question??

weqwewe [10]

Answer: 26 cups will fit in a dispenser that is 30 cm high.

Step-by-step explanation:

First of all, we know that the first cup in the stack (the bottom cup) will be ten centimeters high, and we know that for every cup that is added on top of that, .8 centimeter will be added to the height. So, if we want to find how many cups will be in the dispenser we do this simple math:

30 - 10 = 20 Because the first cup is ten centimeters, we have to subtract that from the dispenser height.

20/.8=25 To find how many cups will be stacked on top of the first cup, we divide the remaining height by .8, the height of every other cup.

Now that we know that there will be 25 cups stacked on top of the first, we add the bottom cup to the rest of them.

25 + 1 = 26 Cups.

8 0

3 years ago

Triangle MNO is an equilateral triangle with sides measuring units. What is the height of the triangle? a) 12 units b) 24 units

Alecsey [184]

Answer:

The height of the equilateral triangle is 24 units

Step-by-step explanation:

In the question above, the unit of the side of the equilateral triangle is not given. If the complete question is:

Triangle MNO is an equilateral triangle with sides measuring 16 square root of 3 units, then the length of each side is 16√3 units.

To find the height of the triangle, we use Pythagoras theorem

MP^2 + PO^2 = MO^2

Let MP^2 be x

x^2 + {(16√3)/2}^2 = (16√3)^2

X^2 + (256*3)/4 = 256*3

4x^2 + 768 = 768* 4

4x^2 + 768 = 3072

4x^2 = 3072-768

4x^2 = 2304

X^2 = 2304/4

X^2 = 576

x= √576

x = 24 units

4 0

3 years ago

Read 2 more answers