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3 years ago

Can someone help me with this (Functions)

Mathematics

1 answer:

Kaylis [27]3 years ago

7 0

Answer:

See below, Jeff

Step-by-step explanation:

Substitute the values of -3, -1, 0, and 4 for x:

Find the answers for 2(x) + 8 to get f(x)

x 2(x) + 8 f(x)

-3 2(-3) + 8 2

-1 2(-1) + 8 6

0 2(0) + 8 8

4 2(4) + 8 16

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Shayla’s restaurant bill comes to $27. She is planning to tip the waiter 15% of the bill. How much money should Shayla leave for

SashulF [63]

Answer:

she should leave 4.05

Step-by-step explanation:

becuase 15% of 27 is 4.05

4 0

3 years ago

The figure below has a perimeter of 37 feet what is the length in feet of the unknown side

Blababa [14]

There should have more info because it doesn't make sense with 1 number. Hope this helped!

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3 years ago

An equilateral triangle is inscribed in a circle of radius 6r. Express the area A within the circle but outside the triangle as

Paul [167]

Answer:

$A(x)=\frac{100\pi x^2-75\sqrt{3}x^2}{12}$

Step-by-step explanation:

We have been given that an equilateral triangle is inscribed in a circle of radius 6r. We are asked to express the area A within the circle but outside the triangle as a function of the length 5x of the side of the triangle.

We know that the relation between radius (R) of circumscribing circle to the side (a) of inscribed equilateral triangle is $\frac{a}{\sqrt{3}}=R$ .

Upon substituting our given values, we will get:

$\frac{5x}{\sqrt{3}}=6r$

Let us solve for r.

$r=\frac{5x}{6\sqrt{3}}$

$\text{Area of circle}=\pi(6r)^2=\pi(6\cdot \frac{5x}{6\sqrt{3}})^2=\pi(\frac{5x}{\sqrt{3}})^2=\frac{25\pi x^2}{3}$

We know that area of an equilateral triangle is equal to $\frac{\sqrt{3}}{4}s^2$ , where s represents side length of triangle.

$\text{Area of equilateral triangle}=\frac{\sqrt{3}}{4}s^2=\frac{\sqrt{3}}{4}(5x)^2=\frac{25\sqrt{3}}{4}x^2$

The area within circle and outside the triangle would be difference of area of circle and triangle as:

$A(x)=\frac{25\pi x^2}{3}-\frac{25\sqrt{3}x^2}{4}$

We can make a common denominator as:

$A(x)=\frac{4\cdot 25\pi x^2}{12}-\frac{3\cdot 25\sqrt{3}x^2}{12}$

$A(x)=\frac{100\pi x^2-75\sqrt{3}x^2}{12}$

Therefore, our required expression would be $A(x)=\frac{100\pi x^2-75\sqrt{3}x^2}{12}$ .

7 0

3 years ago

Question Simplify the expression. 14 - (-8)= 6 -22 22

Effectus [21]

$14 - ( - 8) = 6 - 22 \\ 14 + 8 = 6 - 22 \\ 14 + 8 = - 16 \\ 22≠ - 16 \\ false$

<h2>☺︎︎Hence proved✔︎</h2>

4 0

3 years ago

A certain system has two components. There are 6 different models of the first component and 10 different models of the second.

Alisiya [41]

Answer: 1800

Step-by-step explanation:

Given : A certain system has two components.

Number of different models of the first component = 6

Number of different models of the second component = 10

A salesman must select 2 of the first component and 3 of the second to take on a sales call , so we use combinations ( ∵ order of selection not matters)

The number of different sets of components can the salesman take = $^{6}C_2\times^{10}C_3$

$\dfrac{6!}{2!(6-2)!}\times\dfrac{10!}{3!(10-3)!}\ \ [\because\ ^nC_r=\dfrac{n!}{r!(n-r)!}]$

$=1800$

Hence, the number of different sets of components can the salesman take = 1800

8 0

4 years ago