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2 years ago

Juan buys a crystal sculpture priced at $753.00. If the sales tax is 4%, what will be the

Mathematics

1 answer:

shepuryov [24]2 years ago

3 0

Answer: $783.12

Step-by-step explanation:

First find 4% of 753

753 * 4 / 100 = 30.12

30.12 is the sales tax

753 + 30.12 = 783.12

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A triangle with side lengths 13, 30, and 42 is a right triangle. True or False?

kaheart [24]

Answer:

False

Step-by-step explanation:

$42^2-30^2-13^2=695$

695 ≠ 0

4 0

4 years ago

Which relation is a function?( click all that apply)

weeeeeb [17]

A, B, D are functions.
(First, second, and fourth response)
You can see which is function since for everyone input only has one value. You can also use the vertical line test.

7 0

3 years ago

Please help with this I am completely stuck on it

vaieri [72.5K]

Answer:

$f(x)=\sqrt[3]{x-4} , g(x)=6x^{2}\textrm{ or }f(x)=\sqrt[3]{x},g(x)=6x^{2} -4$

Step-by-step explanation:

Given:

The function, $H(x)=\sqrt[3]{6x^{2}-4}$

Solution 1:

Let $f(x)=\sqrt[3]{x}$

If $f(g(x))=H(x)=\sqrt[3]{6x^{2}-4}$ , then,

$\sqrt[3]{g(x)} =\sqrt[3]{6x^{2}-4}\\g(x)=6x^{2}-4$

Solution 2:

Let $f(x)=\sqrt[3]{x-4}$ . Then,

$f(g(x))=H(x)=\sqrt[3]{6x^{2}-4}\\\sqrt[3]{g(x)-4}=\sqrt[3]{6x^{2}-4} \\g(x)-4=6x^{2}-4\\g(x)=6x^{2}$

Similarly, there can be many solutions.

7 0

3 years ago

Use the function f(x) to answer the questions.

frutty [35]

Part A

$-16x^2 + 60x+16=0\\\\4x^2 - 15x-4=0\\\\(4x+1)(x-4)=0\\\\x=-\frac{1}{4}, 4$

Part B

The vertex of the graph will be a maximum because the leading coefficient is negative.

The x coordinate of the vertex is $-\frac{60}{2(-16)}=\frac{15}{8}$ .

When x=15/8, $f\left(\frac{15}{8} \right)=\frac{289}{4}$ .

So, the vertex has coordinates $\left(\frac{15}{8}, \frac{289}{4} \right)$

Part C

Plot the two x-intercepts and the vertex and then draw a curve in the shape of a parabola passing through them.

The graph is in the attached image.

3 0

2 years ago

Read 2 more answers

What is the diameter of the circle whose center is at (6,0) and passes through the point (2,-3)

Aleksandr [31]

Answer: 10 units

Step-by-step explanation:

Use the distance formula(√(x1-x2)^2+(y2-y1)^2)

$\sqrt{(6-2)^2+(0-(-3))^2} \\\\\sqrt{4^2+3^2}\\\\\sqrt{16+9}\\ \\\sqrt{25}\\ \\5$

Thus, the radius of the circle is 5. Because the diameter is 2r, the diameter = 2(5) = 10

Hope it helps <3

5 0

3 years ago

Read 2 more answers