4 years ago

1,1,2,3,5,6,7,8,8,8,9,14

Mathematics

1 answer:

bekas [8.4K]4 years ago

3 0

2 because you know what you mean about the following problems

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Find the area of a right triangle that has one leg with a length of 8 centimeters and a hypotenuse length of 17 centimeters.

Savatey [412]

Since is a right triangle use the Pythagorean theorem to find the missing length in the triangle
17² =8² +x²
x²=17² -8²
x² =289-64=225
x=√225=15

Area of the triangle is 8·15/2=60 cm²

8 0

4 years ago

You have three items on your menu: pasta for $12, pizza for $15, and salad for $10. What is the average price of an item on your

dem82 [27]

Answer:

$13

Step-by-step explanation:

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3 years ago

What is the inverse of this function? (Function in photo)

valkas [14]

Given:

The function is

$f(x)=-\dfrac{1}{2}\sqrt{x+3},x\geq -3$

To find:

The inverse of the given function.

Solution:

We have,

$f(x)=-\dfrac{1}{2}\sqrt{x+3}$

Put f(x)=y.

$y=-\dfrac{1}{2}\sqrt{x+3}$

Interchange x and y.

$x=-\dfrac{1}{2}\sqrt{y+3}$

Isolate the variable y.

$-2x=\sqrt{y+3}$

$(-2x)^2=y+3$

$4x^2-3=y$

$y=4x^2-3$

Putting $y=f^{-1}(x)$ , we get

$f^{-1}(x)=4x^2-3$

For $x\geq -3$ ,

$x+3\geq 0$

$\sqrt{x+3}\geq 0$

$-\dfrac{1}{2}\sqrt{x+3}\leq 0$

$f(x)\leq 0$

It means for function $f(x)\leq 0$ and for inverse function $x\leq 0$ because the range of the function is the domain of inverse function.

Therefore, $f^{-1}(x)=4x^2-3$ for $x\leq 0$ .

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3 years ago

abdel purchased a candy bar for $1.47 and ice cream for $3.48. How much change did he receive if he paid a ten-dollar bill.

Leviafan [203]

1.47+3.48=4.95
10-4.95=5.05

4 0

3 years ago

Read 2 more answers

A random survey was taken of 400 people in a city in the United States. The survey found that the three most common eye colors a

Nostrana [21]

Answer:

B 14/25(56.00%)

Step-by-step explanation:

167+57=224, which means 224/400(56.00%) people would have brown or hazel eyes. 224/400 is also equivilant to 14/25

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3 years ago