A. Factor the polynomial expression –16(x2 – 3x – 4).

Answer:

[tex]\text{c. }r>0[/tex]

Step-by-step explanation:

Define a positive number by all real numbers greater than, but not including, zero.

The inequality that represents this is [tex]\boxed{\text{c. }r>0}[/tex]

*Note: The sign [tex]\geq[/tex] represents including the value following it. However, we do not want to include zero in our set, hence [tex]r>0[/tex]

Answer:

r > 0

Step-by-step explanation:

a. r≤ 0            the equation is represented as r value is equal to zero or less than zero. So r can be zero or negative since its saying less than zero.

b. r≥ 0            the equation is represented as r value is greater than but equal to zero. So r can be zero and nonpositive.

c. r> 0            the equation is represented as r value greater than 0 which makes the answer positive.

d. r≤ ∞           the equation is represented as r value is equal to all positive integers but all negative integers.

e. r< ∞           the equation is represented as r value is all negative numbers since the inequality sign is less than

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Answer:

[tex]f(g(5)) = 0[/tex]

Step-by-step explanation:

Given

[tex]f(x) = x+ 2[/tex]

[tex]g(x) = x^2 - 27[/tex]

Required

[tex]f(g(5))[/tex]

First, calculate [tex]f(g(x))[/tex]

We have:

[tex]f(x) = x+ 2[/tex]

Substitute [tex]g(x)[/tex] for x

[tex]f(g(x)) = g(x) + 2[/tex]

Substitute [tex]g(x) = x^2 - 27[/tex]

[tex]f(g(x)) = x^2 -27+ 2[/tex]

[tex]f(g(x)) = x^2 -25[/tex]

Substitute 5 for x

[tex]f(g(5)) = 5^2 -25[/tex]

[tex]f(g(5)) = 25 -25[/tex]

[tex]f(g(5)) = 0[/tex]

Answer:

1/2 is a half for example u can do 4/8 and it is equal to a half does not matter how big like 50/100 is also correct. Hope this helps :)

Answer:

the k is 7

Step-by-step explanation:

12×2=24

12×3=36

12×4=48

12×5=60

12×6=72

12×7=84

Answer:

k = 7

Step-by-step explanation:

The product of 12 and k is 84 [tex]\rightarrow 12k=84[/tex].

[tex]12k = 84 \\ k = \dfrac{84}{12} \\ \boxed{k = 7}[/tex]

Answer:

18 red balls, 3 blue balls, 6 yellow balls.

Step-by-step explanation:

a ratio helps us understand the relationship between two or more values (in this case three values). More specifically it tells us how much of one item is present, for every amount another item is also present.

In this example, the ratio of red:blue:yellow is given to be: 6:1:2, which means, for every 6 red balls, there is one blue ball and two yellow balls.

In some cases, a ratio can be simplified, similar to a fraction, by dividing each number by some common factor, but in this case, the ratio cannot be simplified any further.

Instead of directly trying to find how many red, yellow, or blue balls there are first, we can instead try solving for how many group of sixes are there in the total number of red balls. It helps to think of it this way, since for every group of six red balls there are, there is one blue ball and two yellow balls, which means we can just multiply this number by one and two to find the number of blue and yellow balls in their respective orders. For simplicity, let's assign this to the unknown "G".

Using this logic, we can set up the following equation:

[tex]6G+1G+2G=27[/tex]

For every group of six red balls... there is 6 red balls, 1 blue ball, and 2 yellow balls, adding all these together should give us the total number of balls, which was given to be 27 balls. Now we can just combine the stuff on the left into one term, by adding the coefficients.

[tex]9G=27[/tex]

Now divide by 9

[tex]G=3[/tex]

Now that we know the number of group of six red balls there are, we can multiply six, one, and two to find the red, blue, and yellow balls.

[tex]\text{red balls} = 3 * 6 = 18\\\\\text{blue balls} = 3 * 1 = 3\\\\\text{yellow balls} = 3 * 2 = 6[/tex]

and you can all this together, to double check, which gives us 27.

Answer:

18,3,6

Step-by-step explanation:

Given ,

To Find : The number of red,blue and yellow balls present in the bag

Let us take the variable as 'x' to represent the number of balls in the bag

When we Put the values in a equation,

6x+x+2x = 27

9x = 27

x = [tex]\frac{27}{9}[/tex]

x = 3

Hence the number of,

Red Balls = 6x = 6 x 3 = 18

Blue Balls = x = 3

Yellow Balls = 2x = 2 x 3 = 6

Let the amount Tom does = x

Then Larissa’s time would be 3x( 3 times the amount of Tom)

And Neal would also be 3x

The total of the 3 is 84 hours so as an equation you have:

X + 3x + 3x = 84

Combine like terms

7x = 84

Divide both sides by 7

X = 84/7

X = 12 hours

Tom = x, so Tom exercised for 12 hours.

Answer: 2/3πx³

Step-by-step explanation:

Let the radius of the cone be represented by x.

Since the height of the cone is twice the radius of its base, the height will be: = 2x

Volume of a cone = 1/3πr²h

where,

r = x

h = 2x

Volume of a cone = 1/3πr²h

= 1/3 × π × x² × 2x

= 1/3 × π × x² × 2x

= 1/3 × π × 2x³

= 2/3πx³

Therefore, the correct answer is 2/3πx³.

Eric picks 17/40 baskets of strawberries more than Kiki.

Subtraction in mathematics means that is taking something away from a group or number of objects. When you subtract, what is left in the group becomes less.

Given that;

Eric picks 5/8 basket of strawberries.

And, Kiki picks 1/5 basket of strawberries.

Hence, After subtraction we get;

Number of baskets of strawberries more than Kiki = 5/8 - 1/5

                                                                              = (25 - 8) / 40

                                                                              = 17/40

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Comparing the maple tree and the pine tree growth information, the tree that grows faster is the pine tree.

A mathematical function called an exponential function is employed frequently in everyday life. It is mostly used to compute investments, model populations, determine exponential decay or exponential growth, and so on.

Exponential function is a type of function of the form: f(x) = a(b)^x. It is made up of  3 main parts

a = the starting or initial value

b = the base function

x = the exponents

Considering the given problem,  b for maple is given as 1.5 and we calculate for pine using the data in the table. the equation is derived as follows

f(x) = a(b)ˣ

12 = a(b)¹

24 = a(b)²

dividing 24 = a(b)² by 12 = a(b)¹

b = 2

hence for pine tree the b is 2 which is greater than 1.5

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By finding a common factor, we can rewrite the expression as:

54 + 72 = 18*(3 + 4)

The distributive property says that we can write:

C*(A + B) = C*A + C*B

In this case, we want to rewrite the expression:

54 + 72

So the first thing we need to find is a common factor between these two numbers.

We can rewrite these as:

54 = 2*3*3*3

72 = 2*2*2*3*3

The maximum common factor between these two nmbers is:

2*3*3 = 18

Then we can rewrite:

54 = 18*3

72 = 18*4

Then we can rewrite the expression as:

54 + 72 = 18*3 + 18*4 = 18*(3 + 4)

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The domain of the function whose graph shown in diagram is x ≤ 1.

The range of values that we are permitted to enter into our function is known as the domain of a function. The x values for a function like f make up this set (x). A function's range is the collection of values it can take as input.

Consider the function y = f(x), which has the independent variable x and the dependent variable y. A value for x is said to be in the domain of a function f if it successfully allows the production of a single value y using another value for x.

The domain of the function whose graph shown in diagram is x ≤ 1 as the value of x is less than 1.

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Answer:

Monday??????

SteP-by-step explanation:

The number of years until the book value of the boat is $ 48, 000, can be found to be 2 years

To find the number of years till the book value of the boat is $ 48, 000, you first need to find the depreciation rate per year by the formula :

= ( Purchase price of boat - Resale value ) / Useful life

= ( 51, 000 - 42, 000 ) / 6

= 9, 000 / 6 years

= $ 1, 500 per year

In the first year, the value of the boat would depreciate to:

= 51, 000 - 1, 500

= $ 49, 500

In the second year, the value would depreciate to:

= 49, 500 - 1, 500

= $ 48, 000

It therefore takes 2 years for the book value to be $ 48, 000.

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The first equation in the second system is a multiple of  second equation

is the first equation and the second equation  in the second system is a multiple of both equation in the first system

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Answer:

A. 4

Step-by-step explanation:

4 is a positive number which is larger to 3 and bigger than negative numbers.

Answer:

Step-by-step explanation:

i\        

i  \

i   \

i    /

i  /

Exponential Expressions into Expanded Form into Answer:

[tex]9^{3}[/tex] = 9⋅9⋅9 = 729

[tex]7^{4}[/tex] = 7⋅7⋅7⋅7 = 2401

I hope this helps, have a good day!

Answer:

= 9⋅9⋅9 = 729

= 7⋅7⋅7⋅7 = 2401

Step-by-step explanation:

Answer:

1/3

Step-by-step explanation:

2 divided by 6 is 1/3 and 1/3 times 6 is 2

Answer:

i

Step-by-step explanation:

what a question answer to the questions

Answer:

-3

Step-by-step explanation:

because if the l had an equation of 2-3x always the gradient goes with an x

Answer:

Step-by-step explanation: total number of counters = 10

number of red counters= 3

number of blue counters= 2

number of green counters = 5

p(of getting a red counter) =3/10

p(of not getting a red counter) = 1-3/10= 10-3/10=7/10

Answer:

thirty-three percent

Answer:

y = 1/2 x + 3.

Answer:

Step-by-step explanation:

hi!

area:

both 7 by 4 sides: (7*4)2=56

both 3 by 7 sides: (3*7)2=42

both 3 by 4 sides: (3*4)2=24

add em up=56+42+24=122

i hope this answered your question. let me know if i missed something and ill fix it!

Answer: (3b - 7)kg

Step-by-step explanation:

Jona's weight = b kg

Since Jona's mother's weight is seven kg less than three time than jona's weight. This will be:

= (3 × b) - 7

= 3b - 7

Therefore, the mother is (3b - 7)kg

Answer:

#1: This system intersects in A:  ✔ zero  place(s).

#2: Which statement is true?  C: There are no solutions.

Step-by-step explanation:

I just did the assignment on EDGE2020 and it's 200% correct!  

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This System of Quadratic equation is intersects at zero place.

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The quadratic equation is,

- x² + x + 6 = 2x + 8

Now,

The quadratic equation is;

- x² + x + 6 = 2x + 8

x² + 2x - x + 8 - 6 = 0

x² + x + 2 = 0

So, The solution of the quadratic equation is solve as;

x = - 1 ± √1² - 4 × 1 × 2 / 2 × 1

x = -1 ± √1 - 8 / 2

x = - 1 ± √-7 / 2

x = - 1 ± √7i / 2

Clearly, It has no real solution do, it cannot cut at any point.

Therefore,

This System of Quadratic equation is intersects at zero place.

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Step-by-step explanation:

3 x 6 = 6 + 6 + 6

4 x 6 = 6 + 6 + 6 + 6

Answer:

18/24

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

The entire expression should be subtracted from 30. To subtract the quantity, distribute the negative sign, which changes the signs on the terms. So, the –2 changes to positive and gets added to 30 instead of subtracted from it.

Step-by-step explanation:

Answer:

The entire expression should be subtracted from 30. To subtract the quantity, distribute the negative sign, which changes the signs on the terms. So, the –2 changes to positive and gets added to 30 instead of subtracted from it.

Step-by-step explanation:

SAMPLE

Answer: 10

Step-by-step explanation:

I’m positive