Divide. Round to the nearest tenth if necessary:
39.39 divided by 3

The given equation translated 4 units to the left is  x - 1.

It is required to write the given equation translated 4 units to the left.

Coordinate geometry is defined as the study of geometry using the coordinate points. Coordinate geometry is required to provide a link between algebra and geometry through the use of line and curve graphs.

Given that:

Replace x in f(x) with x + 4 to translate 4 units to the left.

Replace x in f(x) with x - 4 to translate 4 units to the right.

Since you want to go left,

f(x) → f(x + 4)

f(x)  = (x + 4) - 5

∴f(x)  = x - 1

Therefore, the given equation translated 4 units to the left is  x - 1.

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Except for pair (6, 2), all pairs  (4, 6), (10, 2), and (2, 24) have the greatest common factor of 2.

Given that,
Which pair of numbers have the greatest common factor of 2 from the options is to be determined.

The greatest common factor is defined as a group of the set of numbers that is the most considerable and greatest factor that all the numbers includes.

Here,

The greatest common factor of 4 and 6 is 2.
The greatest common factor of 10 and 2 is 2.
The greatest common factor of 6 and 12 is  6.
The greatest common factor of 2 and 24 is 2.

Thus, except pairs 6 and 12 all pairs  (4, 6), (10, 2), and (2, 24) has greatest common factor of 2.

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Answer:

this person is correct to see the answer CLICK HERE thank you

Step-by-step explanation:

0.7x-1.4 =-3.5

 add 1.4 to each side

0.7x = -2.1

 x = -2.1 / 0.7

x = -3

 Answer is B -3

[tex]-3[/tex] is the value of x in the equation [tex]0.7x -1.4 = -3.5[/tex]

What is equation?

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

According to question, we have to find the value of  x in the equation [tex]0.7x -1.4 = -3.5[/tex]

Now,[tex]0.7x -1.4 = -3.5[/tex]

⇒[tex]x=\frac{-2.1}{0.7} \\[/tex]

⇒[tex]x=-3[/tex]

So,-[tex]3[/tex] is the  value of x in the equation [tex]0.7x -1.4 = -3.5[/tex]

Hence, Option(B) is correct.

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Answer:

88  14/16

Step-by-step explanation:

I call these mixed numbers, a mixed number is written as a b/c and it means

[tex]a+\frac{b}{c}[/tex]

So, we can use the above to re arrange our expression to a more convenient presentation.

we have>

[tex]20+\frac{9}{16} + 24+\frac{5}{8} + 21+\frac{5}{16}+23+\frac{3}{8}\\  \\88+\frac{14}{16} +\frac{8}{8} \\\\89+\frac{14}{16}[/tex]

88  14/16, we tend to no simplify this expression anymore since, the number 14/16 usually means something in real life, like the diameter for a construction pipe

An absolute value equation with solutions -10 and -5 is |x + 7.5| = 2.5. This is determined by finding the midpoint between -10 and -5, and then expressing the equation to reflect that distance.

To write an absolute value equation that has the solutions x=-10 and x=-5, you must consider the midpoint between these two solutions. The midpoint or average is found by adding the values together and dividing by 2, which we can write as (x + 10 + x + 5)/2. Simplifying, we get (2x + 15)/2 = x + 7.5 as the midpoint. Now an absolute value equation that holds the given solutions will have its vertex (the point where the absolute value expression equals zero) at this midpoint and the same distance from both -10 and -5, which is 2.5 units. So, the equation looks like |x + 7.5| = 2.5.

Answer:

  No.

Step-by-step explanation:

Zero does not have a reciprocal. 1/0 is undefined.

The length of DP is:

                      DP=14 units

It is given that:

Point P is the midpoint of DE.

DP =3x + 2 and DE = 10x - 12.

We know that a midpoint divides the given line segment into two equal parts (i.e. it bisects a line segment)

Hence, we have:

DP+PE=DE

Also, DP=PE

This means that:

2DP=DE

2(3x+2)=10x-12

2×(3x)+2×2=10x-12

6x+4=10x-12

10x-6x=4+12

4x=16

x=16/4

x=4

Hence,

DP=3x+2=3×4+2

i.e.

DP=14

9514 1404 393

Answer:

  -7.2, -0.8

Step-by-step explanation:

Those numbers are ...

  -4 ± 3.2 = {-4 -3.2, -4 +3.2} = {-7.2, -0.8}

The numbers -7.2 and -0.8 are a distance of 3.2 from -4 on the number line.

Final Answer:

The revenue function is R(x) = 150x.
The profit function is P(x) = -0.1x² + 141x - 3200.
To make a profit, Gymnast Clothing should manufacture between approximately 23.07 and 1386.93 pairs of cleats. Because they cannot manufacture a fraction of a cleat, they should manufacture at least 24 pairs and no more than 1386 pairs.

Explanation:

Let's start by defining the revenue and profit functions for Gymnast Clothing.
**Revenue Function:**
The revenue function, R(x), is calculated by multiplying the number of cleats sold, x, by the selling price per pair of cleats. Since Gymnast Clothing sells cleats at $150 per pair, the revenue function is:
R(x) = 150x

**Cost Function:**
The cost function, C(x), is given as:
C(x) = 3200 + 9x + 0.1x²

**Profit Function:**
The profit function, P(x), represents the money made after subtracting costs from the revenue. It's defined as the difference between the revenue function and the cost function:
P(x) = R(x) - C(x)

Substitute R(x) with the revenue function and C(x) with the cost function to get:
P(x) = 150x - (3200 + 9x + 0.1x²)

Simplify the profit function by combining like terms:
P(x) = -0.1x² + 141x - 3200

This is the profit function, which tells us how the profit varies with the number of x pairs of cleats manufactured and sold.

**Determining the Number of Cleats to Manufacture for Profit:**
To figure out how many cleats Gymnast Clothing should manufacture to make a profit, we need to determine when the profit P(x) is greater than zero:
P(x) > 0

In other words, we want to find the values of x for which:
-0.1x² + 141x - 3200 > 0

Solving this inequality for x gives us the interval within which manufacturing the cleats will be profitable. Based on the solution to the inequality, the number of pairs of cleats that Gymnast Clothing should manufacture to make a profit is between approximately 23.07 and 1386.93 pairs.

Summary:
- The revenue function is R(x) = 150x.
- The profit function is P(x) = -0.1x² + 141x - 3200.
- To make a profit, Gymnast Clothing should manufacture between approximately 23.07 and 1386.93 pairs of cleats. Because they cannot manufacture a fraction of a cleat, they should manufacture at least 24 pairs and no more than 1386 pairs.

Revenue: [tex]\( R(x) = 150x \)[/tex]. Profit: [tex]\( P(x) = -0.1x^2 + 141x - 3200 \).[/tex] Solve [tex]\(-0.1x^2 + 141x - 3200 > 0\)[/tex] for profit.

To find the exact values for the revenue and profit functions, we'll use the given cost function and selling price.

1. Revenue Function [tex](\(R(x)\))[/tex]: The revenue is given by the product of the number of units sold [tex](\(x\))[/tex] and the selling price per unit[tex](\$150):[/tex] [tex]\[ R(x) = 150x \][/tex]

2. Profit Function [tex](\(P(x)\)):[/tex] The profit is the difference between revenue and cost: [tex]\[ P(x) = R(x) - C(x) \][/tex]

Given that the cost function is [tex]\(C(x) = 3200 + 9x + 0.1x^2\),[/tex] we substitute this into the profit function: [tex]\[ P(x) = 150x - (3200 + 9x + 0.1x^2) \][/tex]

Simplify the expression:

[tex]\[ P(x) = -0.1x^2 + 141x - 3200 \][/tex]

So, the exact functions are:

1. Revenue Function:  [tex]\[ R(x) = 150x \][/tex]

2. Profit Function: [tex]\[ P(x) = -0.1x^2 + 141x - 3200 \][/tex]

To find how many cleats Gymnast Clothing should manufacture to make a profit, we set the profit function greater than zero and solve for x: [tex]\[ -0.1x^2 + 141x - 3200 > 0 \][/tex]

Solving this inequality will provide the exact values of x for which the company makes a profit within the given range [tex]\(0 \leq x \leq 500\)[/tex]. This involves factoring, using the quadratic formula, or graphing to determine the valid range of x values for profit.

The perfect cubes from the given options are 64x^16, 8x^3, 81x^6, and 125x^9 as they can all be expressed as the cube of an integer or a product of an integer and variable raised to an exponent that is a multiple of three.

The question is asking us to identify which expressions are perfect cubes. A perfect cube is a number that can be expressed as the cube of an integer. The expression for a perfect cube with variables is x3n, where n is a non-negative integer. We apply this principle to the options given:

Therefore, the perfect cubes from the options given are 64x16, 8x3, 81x6, and 125x9.

112-88 = 24

 they save $24 per month

so 650/24 = 27.083

so it will pay for itself in 27.083 months, round up to 28 months

Answer: [tex]\dfrac{3}{8}[/tex]

Step-by-step explanation:

Let x denotes the total pocket money Josh has.

As per given , we have

Saved pocket money = [tex]\dfrac{1}{4}x[/tex]

Money Remains = [tex]x-\dfrac{x}{4}=\dfrac{3x}{4}[/tex]

Money he spent = [tex]\dfrac{1}{2}[/tex] of (Money Remains)

=  [tex]\dfrac{1}{2}\times\dfrac{3x}{4}[/tex]

[tex]=[/tex][tex]\dfrac{3x}{8}[/tex]

Hence, the fraction of money he spent = [tex]\dfrac{3}{8}[/tex]

In equation (a), x=30 is the solution. In equation (b), it has an infinite number of solutions. In equation (c), it has no solution.

(a) To solve the equation 6x+4x-6=24+9x, we need to simplify both sides of the equation and isolate the variable x. Start by combining like terms on both sides of the equation:

10x-6=24+9x

Next, move all the terms with x to one side of the equation by subtracting 9x from both sides:

10x-9x-6=24

Simplify further:

x-6=24

Now, isolate x by adding 6 to both sides:

x-6+6=24+6

x=30

Therefore, the equation has one solution, x=30.

(b) To solve the equation 25-4x=15-3x+10-x, we need to simplify both sides of the equation and isolate the variable x. Start by combining like terms on both sides of the equation:

25-4x=15-3x+10-x

Combine like terms:

25-4x=25-4x

Notice that both sides of the equation are identical. This means that the equation is an identity, and it has an infinite number of solutions.

(c) To solve the equation 4x+8=2x+7+2x-20, we need to simplify both sides of the equation and isolate the variable x. Start by combining like terms on both sides of the equation:

4x+8=2x+7+2x-20

Combine like terms:

4x+8=4x-13

Notice that both sides of the equation are not equal. This means that the equation is a contradiction, and it has no solution.

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