3 x 7 x 2 is the prime
factorization of what
number?

Answer:

5 (3x - 5) (x + 2 )

Answer: 5 (3x-5)(x+2)

Answer:

x = 0

Step-by-step explanation:

If p is a number other than zero, then

[tex] p^x=1[/tex]

only if x=0.

Answer:

No answer is applicable for this question

Step-by-step explanation:

Start off by moving the singular numbers to one side. This can be done by subtracting 5 from both sides. Then you are left with |x-1|=-3.

After reaching this point, you must know what whatever number, negative or not, within the lines will always come out to be positive. If those lines were not there, the answer would be -2. But if -2 was inserted at this point, you would find yourself with the answer of 3=-3. Hope this helps, comment a question below if you do not understand

The solution of the given equation is -2.

The given equation is |x-1|+5=2.

We need to solve the given equation.

To solve an equation containing an absolute value, isolate the absolute value on one side of the equation. Then set its contents equal to both the positive and negative value of the number on the other side of the equation and solve both equations.

Now, |x-1|=2-5

⇒|x-1|=-3

⇒x-1=-3

⇒x=-2

Therefore, the solution of the given equation is -2.

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Answer:665/1000

Step-by-step explanation:

Writing from 0.665 (decimal) to a fraction, the answer will be 665/1000, but you can simplify this fraction into 133/200 simplified.

Hope this helped!

Nate

Answer:

The inequality  is 9(t+5) < 6

Step-by-step explanation:

Let

t -----> the number

we know that

The phase "5 more than a number t" is equal to adds the number t and 5

(t+5)

The phase "the product of 9 and the quantity 5 more than a number t" is equal to multiply 9 by (t+5)

9(t+5)

less ----> represent the symbol "<"

therefore

The inequality that represent this problem is

9(t+5) < 6

Answer:

The y-value is 1 less than the square of the x-value,

Step-by-step explanation:

if we follow the letters and convert them into numbers we will get:

y-value=y

1 less than=-1

square of x value=x^2

so

we put the number in order according to the words:

y value=1 less than the square of x

so

y=x^2-1

hope this helps!

The y-value is 1 less than the square of the x-value. The correct option is D.

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

The given expression is Y = x²-1, then follow the letters and convert them into numbers we will get:

y-value=y

1 less than=-1

square of x value=x^2

Put the number in order according to the words:

Y = x²-1 ↔ y value is 1 less than the square of x

Therefore, the y-value is 1 less than the square of the x-value. The correct option is D.

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Answer:

See below.

Step-by-step explanation:

If the coordinates of E' were (a, b) the coordinates of  the pre-image E would be (b, a).

y = x  is the line so the coordinates will flip.

Answer:

It would be -2, 6

Step-by-step explanation:

Answer:

first = 21 - 5 = 16

second  = 21

Third = 21*2 = 42

Step-by-step explanation:

first + second + third = 79

Let the second number = x

third = 2*x

first = x - 5

So we get

x - 5 + x + 2x = 79

4x - 5 = 79                  Add 5

4x - 5 + 5 = 79 + 5     Combine

4x= 84                         Divide by 4

4x/4 = 84/4

x = 21

Final answer:

Using algebraic methods, the three numbers are determined to be 16, 21, and 42. The values are obtained by setting up an equation based on the given relationships and solving for the variable.

Explanation:

We are tasked with determining the values of three numbers where the sum is 79, the third number is twice the second, and the first number is 5 less than the second. Let's define the second number as x. Therefore, the third number would be 2x and the first number would be x - 5. Setting up the equation based on these relationships, we have:

(x - 5) + x + (2x) = 79

Combining like terms, we get:

4x - 5 = 79

Adding 5 to both sides to isolate the variable, we find:

4x = 84

Dividing by 4 gives us:

x = 21

Now we can find the first and third numbers:

First number: x - 5 = 21 - 5 = 16

Second number: x = 21

Third number: 2x = 2(21) = 42

The numbers are 16, 21, and 42.

Answer: 5/6

Step-by-step explanation: if you were to say the probability would be choosing 3 then it would be 1/6 because you have 1 chance of choosing 3 and 5 others of choosing anything else but 3 this applies for the same thing your asking just opposite sides

Answer:

slope = [tex]\frac{1}{2}[/tex]

Step-by-step explanation:

Calculate the slope m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (- 4, 0) and (x₂, y₂ ) = (0, 2) ← 2 points on the line

m = [tex]\frac{2-0}{0+4}[/tex] = [tex]\frac{2}{4}[/tex] = [tex]\frac{1}{2}[/tex]

Answer:

5/3 hours

Step-by-step explanation:

2/3 hour = 40 minutes

You can solve it by proportion:

40 minutes = 2/5 room

x minutes = 1 room

[tex]x=\frac{40}{\frac{2}{5} }[/tex]

100 minutes = 5/3 hours

Answer: 1 hour 40 minute

Step-by-step explanation:

If it take 2/3 of an hour to paint 2/5 of a room

1Hour = 60min

2/3 of 60min

2/3 × 60min

=120min / 3

= 40min

That is it take 40min to paint 2/5 of a room

So using proportion

2/5 room = 40min

1room = X min

We cross multiply

2/5 × X = 40min

2X / 5 = 40min

We cross multiply again

2X = 200min

Divide bothside by 2

x = 100 min

But 1hour =60min

Therefore 100min = 1 hour 40min.

Answer:  b) 2x² - 5x - 3

Step-by-step explanation:

Distribute each term in the first parenthesis into the second term and then add like terms.

  (2x + 1)(x - 3)

= 2x(x - 3)    +   1(x - 3)

= 2x² - 6x    +    x - 3

= 2x²        - 5x      - 3

The sum of 5/6 and -1 1/6, when understood as fractions, results in the simplified answer of -1/3.

To calculate the sum of 5/6 and (-1 1/6), we must first understand the concept of fractions and negative numbers.

5/6 is simply a fraction. The number -1 1/6, however, is a negative mixed number, which consists of an integer (-1) and a fraction (1/6).

We convert this negative mixed number to a simple fraction to make the calculation easier. -1 1/6 becomes -6/6 - 1/6 which equals -7/6.

Now we add the two fractions: 5/6 and -7/6. These two fractions have the same denominator, so we simply add the numerators: 5 + (-7) = -2.

Therefore, 5/6 + (-1 1/6) is equal to -2/6, which simplifies to -1/3.

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Final answer:

To simplify the expression [tex]5^2 \times 5^4[/tex] , add the exponents to get [tex]5^{(2+4)}[/tex], which simplifies to 5^6, resulting in a final value of 15,625.

Explanation:

The question involves simplifying an expression with exponential terms. When multiplying exponents with the same base, we add the exponents according to the product of powers property. The base in this question is 5, and we have two exponential expressions:[tex]5^2[/tex] and [tex]5^4.[/tex]To simplify 5^2 x 5^4, you add the exponents since the bases are the same. This gives you[tex]5^{(2+4)} = 5^6[/tex] .

To simplify [tex]5^2 \times 5^4[/tex], we add the exponents 2 and 4, which gives us [tex]5^{(2+4).[/tex] simplifies to [tex]5^6.[/tex] Calculating this, we get [tex]5 \times 5 \times 5 \times 5 \times 5 \times 5,[/tex]  which equals 15,625.

Answer:

where is the pic

Step-by-step explanation:

3x = 12

x = 12/3

x = 4

We have to 3x = 12

What we will do is clear the variable or unknown "x"

- What is multiplying "3 × x" we will divide:

x = 12/3

- We simplify...

x = 4

Answer:

It has the same domain as the function [tex]f(x)=-\sqrt{-x}[/tex]

Step-by-step explanation:

we have

[tex]f(x)=\sqrt{-x}[/tex]

we know that

The radicand cannot be a negative number

so

[tex]-x\geq 0[/tex]

Solve for x

Multiply by -1 both sides

[tex]x\leq 0[/tex]

The domain of the given function is the interval ----> (-∞,0]

All real numbers less than or equal to 0

The range of the given function is the interval ----> [0,∞)

All real numbers greater than or equal to zero

Verify each statement

Part 1) It has the same domain as the function [tex]f(x)=-\sqrt{-x}[/tex]

The statement is true

The domain of the function [tex]f(x)=-\sqrt{-x}[/tex] is

the interval ---> (-∞,0]

Part 2) It has the same range as the function [tex]f(x)=-\sqrt{-x}[/tex]

The statement is false

The range of the function [tex]f(x)=-\sqrt{-x}[/tex] is

the interval ---> (-∞,0]

Part 3) It has the same domain as the function [tex]f(x)=-\sqrt{x}[/tex]

The statement is false

The domain of the function [tex]f(x)=-\sqrt{x}[/tex] is

the interval ---> [0,∞)

Part 4) It has the same range as the function [tex]f(x)=-\sqrt{x}[/tex]

The statement is false

The range of the function [tex]f(x)=-\sqrt{x}[/tex] is

the interval ---> (-∞,0]

Answer:

C (12+1/2) hours

Step-by-step explanation:

The picture represents the number of hours she spend watching tv for 2 weeks.

One day she watched for 0 hours.

One day she watched for 1/4 hours.

One day she watched for 1/2 hours.

Three days she watched for 3/4 hours.

Three days she watched for 1 hours.

Four days she watched for (1+1/4) hours.

One day she watched for (1+1/2) hours.

-----------------------------------------------------------

So for those two weeks (those 14 days) she watched

0+1/4+1/2+3(3/4)+3(1)+4(1+1/4)+1(1+1/2)

1/4+1/2+9/4+3+[4+1]+[1+1/2]

(1/2+1/2)+(3+4+1+1)+(1/4+9/4)

(1)+(9)+(10/4)

(1+9)+(5/2)

(10)+(5/2)

(20/2)+(5/2)

25/2

(12+1/2)

Answer:

y=-99x

Step-by-step explanation:

it's imposible to answer y in terms of a number, but it is possible to do it in terms of x.

x-y=100x

x=100x+y

-99x=y

y=-99x

Answer:

x = - 1 ± i [tex]\sqrt{3}[/tex]

Step-by-step explanation:

Given

3x² = - 12 - 6x ( add 6x to both sides )

3x² + 6x = - 12 ( divide through by 3 )

x² + 2x = - 4

To complete the square

add ( half the coefficient of the x- term )² to both sides

x² + 2(1)x + 1 = - 4 + 1

(x + 1)² = - 3 ( take the square root of both sides )

x + 1 = ± [tex]\sqrt{-3}[/tex] = ± i [tex]\sqrt{3}[/tex] ( subtract 1 from both sides )

x = - 1 ± i [tex]\sqrt{3}[/tex]

Answer:

20

Step-by-step explanation:

Answer:

20

Step-by-step explanation:

Answer: 5 zeros

Step-by-step explanation: just multiply

Answer: 5 zeros

Step-by-step explanation:

50 * 6000 = 300,000

Answer:

a) Value T's and More

b) y = 8x

c) 8; cost per t-shirt

d) $25

e) Value T's and More for orders of fewer than 25 t-shirts.
    Print-o-Rama for larger orders of more than 25 t-shirts.

Step-by-step explanation:

We are given that Allison’s middle school team has designed t-shirts featuring their team name and color. Allison and her friend Nicole have volunteered to call local stores to get an estimate of the total cost of purchasing the t-shirts.

[tex]\dotfill[/tex]

A proportional relationship is a linear relationship between two variables where the ratio of one variable to the other is constant, and the graph of this relationship passes through the origin (0, 0).

Value T's and More represents a proportional relationship because the cost per t-shirt is constant at $8, and the graph modelling the data for this company passes through the origin (0, 0), meaning that when no t-shirts are purchased, the cost is $0.

Print-o-Rama does not represent a proportional relationship because although they charge a fixed amount per t-shirt, there is an additional set-up fee. This makes the cost function in the form y = mx + b (where b is the set-up fee), resulting in a graph that does not pass through the origin (0, 0).

[tex]\dotfill[/tex]

A proportional relationship can be expressed as y = kx, where k is the constant of proportionality.

Since the cost per t-shirt at Value T's and More is constant at $8, the constant of proportionally is k = 8, so the equation relating cost (y) and shirts (x) for Value T's and More is y = 8x.

[tex]\dotfill[/tex]

As discussed in part b, the constant of proportionality for ValueT's and More is 8. This represents the cost per t-shirt (in dollars).

[tex]\dotfill[/tex]

To find the set-up fee, let's use the given points (10, 95) and (50, 375) for Print-o-Rama and assume the cost model is y = mx + b, where m is the cost per shirt, and b is the set-up fee.

Substitute both points into y = mx + b to set up two equations:

[tex]95=10m + b\\\\375=50m+b[/tex]

Subtract the first equation from the second equation to eliminate b, then solve for m:

[tex]375-95=(50m+b)-(10m+b) \\\\280=40m\\\\m=7[/tex]

This means that the cost per t-shirt is $7.

Substitute m = 7 back into one of the equations and solve for b. Let's use 95 = 10m + b:

[tex]95 = 10(7) + b \\\\95=70+b\\\\b=95-70\\\\b=25[/tex]

Therefore, the set-up fee for Print-o-Rama is $25.

[tex]\dotfill[/tex]

To determine the most cost-effective supplier, we need to equate the cost equations of Value T's and More and Print-o-Rama to identify the exact number of t-shirts at which the costs for both companies are equal:

[tex]8x=7x+25\\\\8x-7x=25\\\\x=25[/tex]

Solving 8x = 7x + 25 for x gives us x = 25, meaning that for an order of 25 t-shirts, the total cost from both suppliers is the same. For orders of fewer than 25 t-shirts, Value T's and More is cheaper, but for orders of more than 25 t-shirts, Print-o-Rama is more cost-effective due to its lower per-shirt cost despite the set-up fee.

Therefore, after analysing the pricing models of both Value T’s and More and Print-o-Rama, it is recommended to use:

a. The graph shows a proportional relationship

b. The proportional equation is  y = 8k

c. The constant of proportionality is 8

d. Print-o-Rama's set up fee is 25

a. A linear graph that intercepts the origin has a proportional relationship.

b. The equation is written in the form y = kx, using point (10, 80)

80 = 10k

k = 8

The equation is written as y = 8k

c. The constant of proportionality is k which is equal to 8

d. The set up fee is the y-intercept (b). The equation is written in the form y = mx + b

m = (375 - 95) / (50 - 10)

m = 280 / 40

m = 7

Using point slope formula

y - 95 = 7 (x - 10)

y = 7x - 70 + 95

y = 7x + 25

The y-intercept, b is 25

Answer:

The best estimate for this correlation would be B) 0.9.

We can see that the number is constantly going up, which would throw out the D answer.

We can also see that for every time the x goes up 1, the y goes up a little less than one. We can see that in the ordered pairs that exist on the graph such as (3, 2), (8, 6) and (2.1, 1.9).

Since the y values are just lower than the x, the correlation would be just under one. Therefore, 0.9 is an accurate estimation.

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Step-by-step explanation:

Answer:

0.9

Step-by-step explanation:

The best way to estimate the value of correlation coefficient from scatter plot is draw a straight line such that the distance between the straight line and scatter point is minimum.

If the direction of straight line is towards top right then value of correlation coefficient is positive otherwise if direction of straight line is towards bottom right then value of correlation coefficient is negative.

And, if straight line is nearly horizontal then value of correlation coefficient is nearly 0.5 or -0.5.

Thus, we have only two possible values of correlation coefficient which is 1 or 0.9

Also, here we see that as the value of x is increasing the value of y is also increasing but it is comparatively less than the increase of x.(See the scatter points (3, 2), (8, 6) and (2.1, 1.9)). If both rate of change is constant then value of correlation coefficient is 1.

Hence, value of correlation coefficient is 0.9

Answer:

1. -6 3/5 + 2 = -4 3/5

2. -9 3/5 + 5 = -4 3/5

3. 33

Hope it helps

The answer to the addition problems are as follows;

For the first question;

An addition problem that has a sum of -4 3/5 may take different forms one of which is the answer supplied where; -5 3/5 is added to 1 and the result is; -4 3/5.

Fir the second question;

Fir the third question;

Therefore, x = 51 -18

x = 33

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Answer:

9x+36

Step-by-step explanation:

4(x+9)+5x

distribute the 4

4x+36+5x

combine like terms

9x+36

Answer:

12 and 12

Step-by-step explanation:

The ratio that does not illustrate a comparison from the items created in Suzanne's bakery is option D) 2:4 to signify cakes to pies.

The ratio can be defined as the number that can be used to represent one quantity as a percentage of another. Only when the two numbers in a ratio have the same unit can they be compared. Ratios are used to compare two objects.

Given, Suzanne was baking treats for her bakery's grand opening.

Since, She made 4 cakes with 8 cups of flour. She baked 2 pies and 3 dozen cookies.

Option A) 1:9 signifies a comparison of the number of cakes to the number of cookies.

Option B) 1:18 signifies a comparison of the number of pies to the number of cookies.

Option C) 2:1 signifies a comparison of the number of cakes to the number of pies.

However, option D) 2:4 does not illustrate a comparison between any of the items created in Suzanne's bakery.

This is because there are no given ratios for the number of cakes to the number of pies, or the number of cakes to the number of cakes plus pies.

Therefore, option D) is the correct answer.

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Answer:

The perimeter of the rectangle is 17.70 feet

Step-by-step explanation:

- The perimeter of a rectangle is → P = 2l + 2w → where l is its length

  and w is its width

- A rectangle has a length 15x and a width 2x³ + 4 - 2x²

- We need to find its perimeter when its length is 5 feet

∵ The length of the rectangle is 15x

∵ The length of the rectangle is 5 feet

- Equate the length's expressions

∴ 15x = 5

- Divide both sides by 15

∴ [tex]x=\frac{1}{3}[/tex]

- Now lets find the width of the rectangle

∵ The width of the rectangle = 2x³ + 4 - 2x²

∵ [tex]x=\frac{1}{3}[/tex]

- Substitute the value of x in the expression of the width

∴ [tex]w=2(\frac{1}{3})^{3}+4-2(\frac{1}{3})^{2}[/tex]

∴ [tex]w=2(\frac{1}{27})+4-2(\frac{1}{9})[/tex]

∴ [tex]w=\frac{2}{27}+4-\frac{2}{9})[/tex]

∴ [tex]w=\frac{104}{27}[/tex] feet

∵ l = 5 feet and [tex]w=\frac{104}{27}[/tex] feet

∵ P = 2l + 2w

∴ P = 2(5) + [tex]2(\frac{104}{27})[/tex]

∴ P = 10 + [tex]\frac{208}{27}[/tex]

∴ P = 17.70 feet

* The perimeter of the rectangle is 17.70 feet