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4 years ago

In terms of factor sums define composite numbers

Mathematics

1 answer:

faltersainse [42]4 years ago

7 0

Composite numbers are numbers that have the same set of factors

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Roger completed a probability experiment with a coin. He flipped the coin 32 times, and it landed on tails eight times. He looke

pav-90 [236]

1 to 3

Since you know that he landed on tails 8 out of 32 times, he must have flipped heads for the flips he did not flip tails. So, subtract 32 minus 8, which equals 24, and your answer is 8 to 24. Simplify this like you would with a fraction; the greatest common factor is 8 so divide the "numerator" and the "denominator" by 8. Therefore your final answer is 1 to 3.

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3 years ago

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The zookeeper brings 15 pounds of food to the sheep pen. How can you determine how many animals there are?

jeka94

X-the number of animals.

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4 years ago

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What is the value you put into a formula or equation

Lady bird [3.3K]

Formula is a statement written with group of mathematical symbols that express a relationship.
Equation is type of mathematical formula with sign equal that separates the left side and the right side of the formula.
The value you put into a formula or equation is referred as a variable. The variable is an item ("thing") which can be measured quantitatively and represented by a number. Variables are called variables because they vary, i.e. they can have a variety of values. If a variable has only one value, it is called constant.

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3 years ago

The graph of a quadratic function passes through the points (-1,0), (-2,0), and (0,2). Write the quadratic function in general f

ddd [48]

Answer:

$f(x)=x^2+3x+2$

Step-by-step explanation:

step 1

we have the points

(-1,0), (-2,0), and (0,2)

Plot the points

using a graphing tool

see the attached figure

The graph of a quadratic function must be a vertical parabola open upward

The vertex is a minimum

The quadratic function in general form is equal to

$f(x)=ax^2+bx+c$

Substitute the value of x and the value of y of each given ordered pair in the general equation and solve for a,b and c

(0,2)

For x=0, y=2

substitute

$2=a(0)^2+b(0)+c$

$c=2$

(-1,0)

For x=-1, y=0

substitute

$0=a(-1)^2+b(-1)+2$

$0=a-b+2$ ----> $a=b-2$ ----> equation A

(-2,0)

For x=-2, y=0

substitute

$0=a(-2)^2+b(-2)+2$

$0=4a-2b+2$ ----> equation B

we have the system

$a=b-2$ ----> equation A

$0=4a-2b+2$ ----> equation B

substitute equation A in equation B

$0=4(b-2)-2b+2$

solve for b

$0=4b-8-2b+2$

$2b=6$

$b=3$

Find the value of a

$a=3-2=1$

therefore

The quadratic function in general form is equal to

$f(x)=x^2+3x+2$

see the attached figure N 2 to better understand the problem

7 0

3 years ago

Christiana works at Texas Road House and makes $50 each night in tips plus $7.50 per hour. Write a function rule in function not

WITCHER [35]

Answer:

$M(h) = 7.50h + 50$

Step-by-step explanation:

Let's first get our variables straight. M is how much money you make each night, and h is the amount of hours she works.

This means that M will be what our function is equal to, aka the y-axis. h will be the x-axis.

We know that you earn a rate of $50 per night through tax, and your hours worked doesn't influence this in any way. That means there will be a constant on this function, +50.

We also know that you earn 7.50$ per hour, which is directly influenced by how many hours you work, so we will have $7.50h$ .

Combining this all together, we get

$M(h) = 7.50h + 50$ .

Hope this helped!

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4 years ago