The function f(x) = −x2 − 9x + 10 shows the relationship between the vertical distance of a diver from a pool's surface f(x), in feet, and the horizontal distance x, in feet, of a diver from the diving board. What is a zero of f(x), and what does it represent?A: x = 1; the diver jumps in the pool at 1 foot per second
B: x = 10; the diver jumps in the pool at 10 feet per second
C: x = 1; the diver hits the water 1 foot away horizontally from the board
D: x = 10; the diver hits the water 10 feet away horizontally from the board

Answers

Answer 1

Answer: Answer
C: x = 1; the diver hits the water 1 foot away horizontally from the board

Explanation
The question requires you to solve for x.
f(x) = −x² − 9x + 10

When f(x)=0

−x² − 9x + 10 = 0
= x²+9x-10 = 0
The product in this expression is -10
The factors of this expression is 9
Factors are 10 and -1.

x²+9x-10 = x²-1x+10x-10 = 0
=x(x-1)+10(x-1) = 0
=(x+10)(x-1) = 0
This means that;
x+10=0 or x-1=0
x = -10 x = 1.
Since distance can not be negative, x =1.

Answer 2

Answer:

Answer:

x = 1; the diver hits the water 1 foot away horizontally from the board

Step-by-step explanation:

took the test :)

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As part of a community service project at your high school, you are organizing a fund-raiser at the neighborhood movie theater. Money raised will benefit a summer camp for children with special needs. The admission charge is $10.00 per person, $5.50 of which is used to pay the movie theater’s rental fee. The remainder is donated to the summer camp fund.There are two variables involved in this problem. Which variable can best be designated as the dependent variable? As the independent variable?
a.
Independent variable - number of persons attending (or number of tickets sold);
Dependent variable - the amount donated
b.
Independent variable - the amount donated;
Dependent variable - number of persons attending (or number of tickets sold)
c.
Independent variable - number of persons attending (or number of tickets sold);
Dependent variable - the amount of the admission per person
d.
Independent variable - number of persons attending (or number of tickets sold);
Dependent variable - the amount paid towards the movie theater’s rental fee.

Answers

Independent variable is number of persons attending (or number of tickets sold) and Dependentvariable is the amount donated

What is Statistics?

Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.

The number of persons attending (or number of tickets sold) is the independent variable because it is the variable that we can control or manipulate.

The amount donated, on the other hand, depends on the number of persons attending and is thus the dependent variable.

The more people that attend the fund-raiser, the higher the amount donated to the summer camp fund.

Independent variable - number of persons attending (or number of tickets sold);

Dependent variable - the amount donated

Hence, Independent variable is number of persons attending (or number of tickets sold) and Dependent variable is the amount donated

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The answer is
A.
Independent variable - number of persons attending (or number of tickets sold);
Dependent variable - the amount donated

Because, the number of persons attending is independent. No one knows how many people are attending. But the amount donated is depended upon the number of people attending.

Simplify the square root of 125

Answers

The value of the expression √125 will be 5√5.

We can first represent 125 as the product of its prime components in order to simplify the square root of that number. 5 x 5 x 5 is the prime factorization of 125. The quantity that, when multiplied by itself, equals 125 is known as the square root of 125. We may claim that the square root of 125 is 5√5, as 5 x 5 = 25, and 25 x 5 = 125.

Using the principle that the square root of a perfect square is the number itself, we may further reduce the square root of 125. Since 25 is a perfect square in this instance, its square root is just 5. Therefore, 5 √5 may also be used to represent the square root of 125.

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Hello,

as 125=5^3
√125=5√5

Three times a number (n) is 36 less than five times the number (n). What is the number?

Answers

i am doing it on edg 2020 now

Final answer:

The number in question is found using simple algebra to setup and solve the equation given in the problem. The solution is n = 18.

Explanation:

The question is about finding a number (n), such that three times the number (n) is 36 less than five times the number (n). This can be solved using simple algebra.

Firstly, we setup the algebraic equation according to the problem:
3n = 5n - 36

To solve the equation, you subtract 3n from both sides to bring all n on one side:
5n - 3n = 36
Which simplifies to:
2n = 36

Now you solve for n by dividing both sides by 2:
n = 36 / 2
The result is n = 18. So, the number in question is 18.

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Find the value of each variable.x=38, y=76

x=52, y=76

x=38, y=104

x=52, y=104

Answers

The value of each variable are; x=38 and y=104

What is linear pair?

Linear pair of angles are produced when two lines intersect each other at a point. The sum of angles of the linear pair is always 180 degrees.

We need to find the values of the variables x and y from the figure.

We know that if the two angles make a linear pair, then the sum of their measures is 180°.

The angles with measures y° and 76° makes a linear pair angles, so we have

y + 76 = 180

y = 180 - 76

y = 104

Also, angles with measures 2x° and y° makes a linear pair angles, so we have;

2x+y=180

2x = 180 -y

2x = 180 - 104

x = 38 degrees

Hence, the value of each variable are; x=38, y=104

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2x=76 since oposite angles are equal
2x=76
divide 2
x=38

on line, angles add to 180
2x+y=180
76+y=180
minus 76 both sides
y=104

y=104
x=38

3rd option

Which best describes this quadrilateral? A.
All sides are different lengths.

B.
All angles are right angles.

C.
Only one pair of sides is parallel.

D.
Opposite sides are parallel.

Answers

Hello,

All should be exact (without picture):
a quadrilateral is only a polygon with 4 sides.

The sum of three times a number and 8 is –22. What is the number?1.)–10
2. )10
3. ) –5
4.) 5
Can someone help please.

Answers

If you subtract 8 from -22 and then divide by 3 you get the answer, -10

Let's take this phrase by phrase.

sum of three times a number and 8 = 3x + 8
Whenever there is a term mentioned without a definite value, we can represent it with a variable. In this case, I represented the number with "x".
is -22 means =-22
What equals -22? The sum of three times a number and 8 equals -22.
3x + 8 = -22
Subtract both sides by 8
3x = -30
x = -10

Final Answer: 1) -10

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