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3 years ago

6

Luis wants to buy a skateboard that usually sells for $79.18. All merchandise is discounted by 12%. What is the total cost of th

e skateboard if Luis has to pay a state sales tax of 6.25%. Round your intermediate calculations and answer to the nearest cent.

1 answer:

stiv31 [10]3 years ago

3 0

Answer:

79.12

Step-by-step explanation:

u have to do different steps

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Write and graph an equation in two variables that shows the relationship between the time t and the distance d traveled Moves 2

tiny-mole [99]

Answer:

the distance equation is

$d=\frac{2}{3}\times t$

Step-by-step explanation:

Let's assume

time in hours as 't'

distance traveled as 'd' meters

We are given

Moves 2 meters every 3 hours

So, firstly we find speed

$speed=\frac{2}{3}$

$k=\frac{2}{3}$

we know that

distance = (speed)*(time)

now, we can plug values

$d=k\times t$

now, we can plug value

$d=\frac{2}{3}\times t$

So, the distance equation is

$d=\frac{2}{3}\times t$

Graph:

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3 years ago

let a function F:A➡️B be defined by f(x)=x+1÷2x-1 with A={-1,0,1,2,3,4} and B= {-1,0,4/5,5/7,1,2,3,}.Find the range of f. plzzzz

lidiya [134]

Answer:

Range: {-1, 0, 5/7, 4/5, 1, 2}

Step-by-step explanation:

We know that:

f(x) = (x + 1)/(2x - 1)

And:

f: A ⇒ B

where:

A={-1,0,1,2,3,4}

B= {-1,0,4/5,5/7,1,2,3,}

We want to find the range of f(x).

The range of f(x) will be the set of the outputs of f(x) (and because f goes from A to B, we will only take the outputs that belong to B).

Then we only need to evaluate all the values of A in f(x), and see if the output belongs to B.

we have:

f(x) = (x + 1)/(2x - 1)

f(-1) = (-1 + 1)/(2*-1 - 1) = 0 (this does belong to B)

f(0) = (0 + 1)/(2*0 - 1) = -1 (this does belong to B)

f(1) = (1 + 1)/(2*1 - 1) = 2 (this does belong to B)

f(2) = (2 + 1)/(2*2 - 1) = 1 (this does belong to B)

f(3) = (3 + 1)/(2*3 - 1) = 4/5 (this does belong to B)

f(4) = (4 + 1)/(2*4 - 1) = 5/7 (this does belong to B)

So the range of f(x) is the set with all these outputs, which is:

Range: {-1, 0, 5/7, 4/5, 1, 2}

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3 years ago

Are the polygons below similar? If they are, write a statement and give the scale factor.

olchik [2.2K]

Answer:

Yes they are similar. Triangle ABC is similar to Triangle FED. The scale factor from large to small is 3/4 or small to large is 4/3.

Step-by-step explanation:

To determine if two triangles are similar, their corresponding sides create equal ratios.

$\frac{AB}{FE} = \frac{BC}{ED}= \frac{CA}{FD} \\\\\frac{15}{20} =\frac{12}{16} =\frac{18}{24} \\\\ \frac{3}{4} =\frac{3}{4} =\frac{3}{4}$

This ratio is the scale factor depending on which is the pre-image. 3/4 or 4/3.

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3 years ago

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erastova [34]

Answer:

1,728

Step-by-step explanation:

7 0

2 years ago

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Keep getting this wrong

Minchanka [31]

Remember that the y-intercept is where the function has a value of $x = 0$ and the x-intercept is where the function has a value of $y = 0$ . Thus, to find the x-intercept and y-intercept, we can substitute these values into the equation and solve for the other variable.

<u>x-intercept</u>

Since the x-intecept has a y-value of 0, we can substitute this into the function and solve for $x$ .

$0 = -2x - 3$

Set up

$3 = -2x$

Add 3 to both sides

$x = - \dfrac{3}{2}$

Divide both sides by -2

The x-value of the x-intercept is $-\frac{3}{2}$ and the y-value is 0, meaning that the x-intercept has coordinates $\boxed{(-\frac{3}{2}, 0)}$ .

<u>y-intercept</u>

Since the y-intercept has a x-value of 0, we can substitute this into the equation and solve for $y$ :

$y = -2(0) - 3$

Set up

$y = -3$

Multiply and simplify

The y-value of the y-intercept is -3, meaning that the y-intercept of the function is $\boxed{(0, -3)}$ .

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3 years ago

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