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sesenic [268]
2 years ago
13

Which equation is the inverse of y=x2 + 16?

Mathematics
2 answers:
kari74 [83]2 years ago
6 0

Answer:

y-16=x^2

Step-by-step explanation:

VLD [36.1K]2 years ago
6 0

Answer:

f^{-1}(x)=\pm\sqrt{x-16}

Step-by-step explanation:

The given equation is y=x^2+16

Interchange the positions of x and y

x=y^2+16

Now, solve this equation for y. That would be the inverse of this function.

Subtract 16 to both sides of the equation

x-16=y^2

Take square root both sides

y=\pm\sqrt{x-16}

This is the inverse of the given function.

f^{-1}(x)=\pm\sqrt{x-16}

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Gary used landscape timbers to create a border around a garden shaped like a right triangle. The longest two timbers he used are
Cloud [144]

Answer:

9 feet

Step-by-step explanation:

Given:

The border of the garden is a right angled triangle.

Two lengths are given as 12 ft and 15 ft.

Let the length of the shortest timber be 'x' feet.

Now, in a right angled triangle, the longest length is called the hypotenuse.

As 15 feet is the largest length, it is the hypotenuse of the triangle. Now, applying Pythagoras theorem, we get:

(Leg1)^2+(Leg2)^2=(Hypotenuse)^2\\x^2+12^2=15^2\\x^2+144=225\\x^2=225-144\\x^2=81\\x=\pm \sqrt{81}=\pm 9

The negative value is neglected as length can never be negative.

Therefore, the length of the shortest timber is 9 feet.

8 0
2 years ago
The slope of a line is 2. The y-intercept of the line is -6. Which statements accurately describe how to graph the function
Law Incorporation [45]
It’s a. Start at the y intercept and rise over run to the next point.
8 0
2 years ago
Jaleel and Lisa are simplifying the expression 2 (x minus 2) + 2 as shown. Jaleel’s Method 2 (x minus 2) + 2 = 2 x minus 4 + 2 =
Art [367]

Answer:

(D)Jaleel's method is correct because 2(x-2)=2x-4.

Step-by-step explanation:

Jaleel and Lisa are simplifying the expression 2(x-2)+2 as shown.

J$aleel's Method: \left\{\begin{array}{ccc}2 (x -2) + 2 \\= 2 x - 4 + 2 \\= 2 x - 2\end{array}\right

L$isa's Method: \left\{\begin{array}{ccc}2 (x-2) + 2 \\= 2 x -2 + 2 \\= 2 x\end{array}\right

We can see that Jaleel's method is correct because:

2(x-2)=2x-4.

When you expand, you must multiply the term outside by all the terms inside the bracket.

The correct option is D.

6 0
2 years ago
Read 2 more answers
nadia was offered a job for selling ads cor a magazine. She must agree to one of the following paymen options. CHOICE A:$110 for
Fittoniya [83]

Let us say that:

x = is the number of ads that Nadia sold every week

P = payment or amount that she receives every week

 

So the equations we can formulate for choice A and B are:

choice A: P = 110 x

choice B: P = 150 + 85 x

 

The amount that she receives for A must be greater than she receives for choice B, so:

110 x > 150 + 85 x                       (inequality equation)

 

Calculate for x:

110 x – 85 x > 150

25 x > 150

x > 6

 

Therefore Nadia must sell more than 6 ads every week so that Choice A would be the better choice.

6 0
2 years ago
The probability that Alma makes a three-point shot in basketball is 20 % 20%20, percent. For practice, Alma will regularly shoot
Rainbow [258]

Complete Question: Check the file attached to this document to see the complete question

Answer:

P(X < 7) = 0.76

Step-by-step explanation:

Counting properly from the diagram attached to the question,

number of trials it took her to make less than 7 shots(i.e. 0 to 6 shots) = 38

The total number of trials she made = 50

Probability that it takes fewer than 7 shots to get her first successful shot, P(X < 7) = (number of trials it took to make less than 7 shots)/(Total number of trials)

P(X < 7) = 38/50

P(X < 7) = 0.76

8 0
2 years ago
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