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3 years ago

A marching band has 169 members that will March in a square formation. How many band members should be in each row

1 answer:

7 0

Answer: 13
Explanation: To make a square you would need an equal amount of people in a square shape. 13 is the best number as it is the root of 169.

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if the graph of a quadratic function intersects with the x axis two times, how many solutions are there to the equation when set

konstantin123 [22]

Hello there!

This is a conceptual question about quadratic functions.

Remember that a solution of ANY function is where it intersects the x-axis, so if the quadratic function intersects the x-axis TWO times, this means that there are TWO real solutions.

Here's a list of things to remember that will help you out for quadratic functions...
•if a quadratic function intersects the x-axis twice, it has two real solutions.
•if a quadratic function intersects the x-axis once, it has one real solution and one imaginary solution.
•if a quadratic function intersects the x-axis zero times, it has zero deal solutions and two imaginary solutions.

Please NOTE: If you want to know how many solutions a polynomial function has, look at it's highest exponent. If it is 2, then it has 2 solutions whether they be real or imaginary. If it is 3, then it has 3 solutions.

Also, if one of the factors are the same for a polynomial function, the way it hits the x-axis changes! This is just some extra information to help you in the long run!

I hope this helps!
Best wishes :)

8 0

4 years ago

4,12,36,108,324

GREYUIT [131]

The sequence defines a function $f(x)=4.(3)^{x-1}$

Domain : $\{1,2,3,4,5\}$

Range : $\{4,12,36,108,324\}$

Explanation:

A sequence defines a function if it is the set of natural numbers.

Thus, the function is given by

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

The sequence can be determined by substituting the values for x.

For $x=1$ ,

$f(1)=4(3)^{0}=4$

For $x=2$ ,

$f(2)=4(3)^{1}=4(3)=12$

For $x=3$ ,

$f(3)=4(3)^{2}=4(9)=36$

For $x=4$ ,

$f(4)=4(3)^{3}=4(27)=108$

For $x=5$ ,

$f(5)=4(3)^{4}=4(81)=324$

Thus, from these the domain and range of a function can be determined.

The domain of a function is the set of independent values, which are generally the x-coordinates.

Domain of a function is $\{1,2,3,4,5\}$

The range of a function is the set of dependent values obtained by substituting the values for x.

Range of a function is $\{4,12,36,108,324\}$

7 0

3 years ago

Martin uses 5/8 of a gallon of paint to cover 4/5 of a wall. What is the unit rate at which Martin paints in walls per gallon?

Reika [66]

You can easily solve this by setting up a proportion with walls on the top and paint on the bottom. First we can find the decimal equivalent of each of those fractions to make things easier. 5/8 = .625 and 4/5 = .8. $\frac{w}{p} : \frac{.8}{.625}= \frac{x}{1}$ . What this is asking is "if 4/5 (.8) of a wall is covered by 5/8 (.625) of a gallon of paint, how many walls (x) will 1 gallon of paint cover?" If we cross multiply we have .625x = .8 and x = 1.28 which is the same as 1 7/25 walls/1 gallon, choice C.

7 0

4 years ago

Read 2 more answers

5. The points (4, 1) and (x,-6) lie on the same line. If the slope of the line is 1, what is the value of

Rzqust [24]

$\frac{1 + 6}{x - 4} = 1$