write a division equation to represent the repeated subtraction for 32 take away 8 is 24​

x²-8x=768

x²-8x-768=0

(x-32)(x+24)=0

x=32 x=-24

you use 32 because it can be negative

plug in for x

(32)(32-8)(1)=768

32×24=768

this isn't the completing the square method though this is zero product law

a. Equation that represents the volume of the rectangular prism glass is:  (x)(x - 8)(1) = 768

b. The dimensions are, length = 32 cm, width = 24 cm.

Volume = (l)(w)(h)

Given the following dimensions of the glass case:

a. Plug in the values into the volume formula to find the equation

(x)(x - 8)(1) = 768

x² - 8x - 768 = 0

b. Factorize x² - 8x - 768 = 0 to find the x, and find the dimensions of the rectangular prism glass

x² - 8x - 768 = 0

(x + 24)(x - 32) = 0

x= −24 or x = 32

The length cannot be a negative number, so:

Length of the glass = x = 32 cm

Width = x - 8 = 32 - 8 = 24 cm

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do u have to use the exact same number for all the substitutions?

The question involves solving a system of two linear equations, 5x - y = -5 and 3x - 6y = 24. By rearranging the first equation to find y in terms of x, and then substituting this into the second equation, we find x = -8/9. Substituting this value into y = 5x + 5, we find y = 5/9.

The question involves a system of linear equations. You solve it using the substitution method. Here are the steps:

So, the solution to the system of equations is x = -8/9 and y = 5/9.

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12 mph = 12 miles / 1 hour

= 12 miles / 60 minutes

= 12/60 miles/minute

=1/5 miles / minute

=0.2 miles/ minute

so ans is option c

Answer:

A and C are your answers.

Step-by-step explanation:

A because there is 5,280 ft in a mile.  and if you multiply that by 12 you will get 63,360. It is also C because in 60 minutes you will travel 12 miles if you are going 0.2 miles a minute. Hope this Helps!

Answer:

The graph would move up 3.

Step-by-step explanation:

When a number is added after the absolute value brackets, the graph shifts up and down. Since it is a positive number, the shift is upwards.

Answer:

graph is shifted up by 3 units.

Step-by-step explanation:

Given : The translation applied to get the graph of g(x) from the graph of f(x) = |x| and g(x) = |x| + 3

To find : Graph of g(x).

Solution : We have given that

Parent function f(x) ans translated function g(x) =  |x| + 3.

By the transformation rule : f(x) →→ f(x) + k it mean graph of f(x) shifted by k units up.

Then, graph is shifted up by 3 units.

Therefore,  graph is shifted up by 3 units.

Answer:

All you have to do is look up the formulas for each one.

Step-by-step explanation:

Plug in the numbers to the correct formulas and you should get your answer.

See the attached figure for your solution

Answer: 8 times

Step-by-step explanation:

By definition, the sum of the exterior angles of a polygon is 360 degrees.

Therefore, each exterior angle of the polygon is:

[tex]\frac{360\°}{n}[/tex]

Where n is the number of sides of the polygon.

 The lengths of the sides of  a regular octagon are equal and the measures of the internal angles are equal too.

The sum of the exterior angles of a polygon is 360 degrees and it has 8 sides, therefore, the measure of each exterior angle is:

[tex]=\frac{360\°}{8}=45\°[/tex]

You know that the regular octagon rotates 360° about its center.

Therefore, keeping all the above on mind, you have that the number of times (which you can call x) the image of the octagon coincide with the preimage during the rotation is:

[tex]x=\frac{360\°}{45\°}=8\ times[/tex]

Answer:

option D

0 < t < 3

Step-by-step explanation:

Given in the question the equation

d = 144 - 16t²

where d is the distance

           t is the time

Since, it is a descent, d should be decreasing until it reaches zero

by plugging d = 0 in the equation

0 = 144 - 16t²

-144 = -16t²

144/16 = t²

t² = 9

take square root on both sides

√t² = √9

t = ±3

since time can't be negative so we will reject -3

t = 3

This means that at 3 seconds the roller coaster was at ground but before that it was in the air

so when t < 3 Greg's car was moving in the air.

Answer:

x = √(12² + 35²) = √(144 + 1,225) = √1,369

= 37

Answer:

4 is your answer

Step-by-step explanation:

Well every 15 minutes he walks 1 step. So divide an hour which is 60minutes by 15 minutes. Then the answer to that you multiply by 1. So the equation would be (60/15)x1= and you will find the answer.

mark brainliest please  :)

Answer:

4000 meters

Step-by-step explanation:

There are 60 minutes in an hour. Divide 60 by 14 and get 4. So she walks 4 km in an hour, but we want to know the answer in meters so we multiply 4 by 1000 to get 4000 meters.

Answer:

618 600 000 000

Step-by-step explanation:

To convert the scientific notation of a large number to a decimal number, move the decimal point as many places to the right as indicated by the exponent of 10.

Use zeros for placeholders as needed.

6.186 × 10¹¹     Move the decimal point eleven places to the right

6.186 × 10¹¹ = 618 600 000 000.

We had to insert eight zeros as placeholders.

6.186 × 10¹¹ = 618 600 000 000

Answer:

larger number=19

smaller number=7

Step-by-step explanation:

x=2y+5

x-y=12

(2y+5)-y=12

y+5=12

y=7

x=2(7)+5

x=14+5

x=19

Answer:

b=7,A=19

Step-by-step explanation:

A=2b+5

a-b=12

2) make both equations equal to 'a' by adding b on both sides so

a=2b+5,a=b+12

since both equations are equal to a, they are equal(is a=b then b=c property)

2b+5=b+12

this is a start, you can finish by combining the like terms and moving them to one side to get b=7 and a=19

HOPE THIS HELPS!!!

Division! Since litres is a larger unit then millimeters, the value will need to decrease to make up for the change in units. So division is needed.

To convert milliliters to liters, use division because you're converting from a smaller to a larger unit, with 1000 milliliters equaling one liter.

To convert milliliters to liters, you would use division. This is because the process involves going from a smaller unit of measurement to a larger one, and there are 1000 milliliters in one liter. Therefore, you move the decimal point three places to the left. For example, converting 60,000 milliliters to liters, you would calculate 60,000 milliliters / 1000, resulting in 60 liters.

In solving multi-step division problems with compound units or applying compound unit multiplication in word problems, it is essential to convert all values into the same units using multiplication and division. When dealing with compound unit conversions such as milliliters to liters, division helps find the total amount or cost for a given volume in liters after initially representing values in milliliters.

3+|n•-9|=4

|n•-9|=1

n•-9=1 Or n•-9= -1

n= -1/9 n=1/9

n=±1/9

Answer:

The value of x is ± (1/9).

Step-by-step explanation:

Consider the provided statement.

If 3 is added to the absolute value of the product of a number and −9,

Now convert this into mathematical form.

Let the number is x then the product of number and -9 is -9x.

For absolute value we use the mode. Thus the required expression is:

3 + |-9x|

Now it is given that the result is equal to 4. Thus,

3 + |-9x| = 4

Solve the above equation as shown:

|-9x| = 4-3

|-9x| = 1

Now remove the mode by introducing ± sign as shown:

-9x = ± 1

-9x = 1 or -9x = -1

x = -1/9 or x = 1/9

Hence, the value of x is ± (1/9).

U find the rate of change by using the equation:

Y^2-y^1

————-

X^2-x^1

You can use the formula to find the rate of change:

Rate of change = (y₂ - y₁) / (x₂ - x₁)

To find the rate of change using a graph, you need to determine the slope of the graphed line or curve at a specific point. The slope represents the rate at which the dependent variable changes with respect to the independent variable.

Here's a step-by-step process to find the rate of change using a graph:

a) Identify two points on the graph that you want to calculate the rate of change between.

These points should have known coordinates (x₁, y₁) and (x₂, y₂).

b) Calculate the difference in the dependent variable (y) between the two points: Δy = y₂ - y₁.

c) Calculate the difference in the independent variable (x) between the two points: Δx = x₂ - x₁.

d) Divide the difference in the dependent variable by the difference in the independent variable: Δy/Δx.

e) The result of this calculation represents the average rate of change between the two points. If you want to find the instantaneous rate of change at a specific point, you can make the interval between the two points infinitesimally small by moving the points closer together. In this case, the rate of change will be represented by the slope of the tangent line to the graph at that point.

By following these steps, you can determine the rate of change at a particular point on a graph.

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Answer:

it's easy if you're 3 below ground level then it would be -3 and now you just add 12

Step-by-step explanation:

-3+12=9

Answer: The was 6.

Step-by-step explanation: I got the question wrong.

Answer:

the length of y= 19 because in every letter you have been adding 2.

The correct answer is:

8 cm.

Answer:

Step-by-step explanation:

The equation of a circle:

[tex](x-h)^2+(y-k)^2=r^2[/tex]

(h, k) - center

r - radius

We have:

[tex]x^2-2x+y^2+4y=4\qquad\text{add}\ 1^2\ \text{and}\ 2^2\ \text{to both sides}\\\\x^2-2x+1^2+y^2-2(-2)(y)+2^2=2(1^2)(2^2)\qquad\text{use}\ (a\pm b)^2=a^2\pm2ab+b^2\\\\(x-1)^2+(y-(-2))^2=8\\\\h=1,\ k=-2\to(1,\ -2)[/tex]

[tex]\bf (\stackrel{x_1}{6}~,~\stackrel{y_1}{-8})~\hspace{10em} slope = 0 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-(-8)=0(x-6)\implies y+8=0\implies y=-8[/tex]

Answer: Hello there!

we want to find the equation that passes through the point (6, -8) (where this notation stands for (x,y)) with a slope of 0.

a linear equation has the form y = ax+ b

where a is the slope and b is the intercept.

if a = 0, our equation has the form y = b (has no dependence of x)

so we have a constant equation that passes through the point (6, -8) , this means x = 6 and y = -8, but we know that y is constant:

then y = -8 = b

so our equation is y(x) = -8

Answer:  The answer is A.  

Step-by-step explanation:  The two big things are a one, so it is 2.00, and then the last box is .02.  Add .02 to 2.00, and get 2.02.  That is less.  2 12/100 is basically 2.12, and the last one is either 23, or 230.  But it is over or equal and not under.  

graph c, because it is a curved line. The line has to be straight in order to be a function.

A function is a relationship between inputs where each input is related to exactly one output.

The graph in option D shows one-to-many which is not a function.

The graph in option D represents a non-functional relationship.

Option D is the correct answer

A function is a relationship between inputs where each input is related to exactly one output.

Example: f(x) = 2x is a function.

x = input

2x = output

We have,

A function can have two inputs and have the same output.

This property is called many-to-one function

For example f(x) = (-x)²,

x = 1, -1

f(1) = 1

f(-1) = 1

But a function can not have different outputs for the same inputs.

This property is called one-to-many function.

The given graph in the options are:

A - this graph represents a functional relationship.

B - this graph represents a functional relationship as many-to-one function.

C - this graph represents a functional relationship.

D - this graph represents a non-functional relationship because it is a one-to-many function

Thus,

The graph in option D shows one-to-many which is not a function.

The graph in option D represents a non-functional relationship.

Option D is the correct answer

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Distribute the 4x to the 3x+2 to get 12x^2+8x

Multiply 2x and 3x to get 6x^2

then combine like terms to get your final answer of 6x^2+8x

The expression in simplest form which represent the area of the shaded region is,

[tex]6x^2+8x[/tex]

Area of rectangle is the product of the length of the rectangle and the width of the rectangle. It can be given as,

[tex]A=a\times b[/tex]

Here, [tex]a[/tex]is the length rectangle and [tex]b[/tex] is the width of the rectangle.

Given information-

The length of the inner rectangle is 2x.

The width of the inner rectangle is 3x.

The length of the outer rectangle is 3x+2.

The width of the outer rectangle is 4x.

As the area of the rectangle is the product of the length of the rectangle and the width of the rectangle. Thus, the area of inner rectangle is,

[tex]A_i=2x\times3x\\A_i=6x^2[/tex]

The area of outer rectangle is,

[tex]A_o=4x\times(3x+2)\\A_o=12x^2+8x[/tex]

The area of the shaded region is the difference of area of outer rectangle and the area of inner rectangle. Thus the area of the shaded region is,

[tex]A=A_o-A_i[/tex]

Put the values as,

[tex]A=12x^2+8x-6x^2\\A=6x^2+8x[/tex]

Hence, The expression in simplest form which represent the area of the shaded region is,

[tex]6x^2+8x[/tex]

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Answer:

[tex]4.3\ km[/tex]

Step-by-step explanation:

we know that

Applying the law of cosines

[tex]c^{2}=a^{2}+b^{2}-2(a)(b)cos(C)[/tex]

we have

c-----> is the distance between Amanda and Angela

[tex]a=10\ km[/tex]

[tex]b=12\ km[/tex]

[tex]C=20\°[/tex]

substitute the values

[tex]c^{2}=10^{2}+12^{2}-2(10)(12)cos(20\°)[/tex]

[tex]c^{2}=18.4738[/tex]

[tex]c=4.3\ km[/tex]

Answer: Option C

Step-by-step explanation:

The solution from the number line is  (-∞,-3]∪[1,∞)

Given equation :

[tex]|x+b| ---2[/tex]

[tex](x+b) ----2[/tex] or

[tex]-(x+b)---2[/tex]

Putting b=1 and the inequality ≥ gives the required solution.

[tex]|x+1|\geq 2[/tex]

=> [tex](x+1)\geq 2[/tex] or [tex]-(x+1)\geq 2[/tex]

=> [tex]x\leq -3[/tex] or [tex]x\geq 1[/tex]

The inequality solved to give a solution of x ≥ 1 and x ≤ -3 is |x + 1| ≥ 2. b = 1, ≥

An inequality is an expression that shows the non equal comparison between two or more variables and numbers.

From the diagram, the solution to the inequality is x ≥ 1 and x ≤ -3

Hence:

|x + b| ≥ 2

x + b ≥ 2 or -(x + b) ≥ 2

x ≥ 2 - b or x ≤ -2 - b

2 - b = 1 and -2 - b = -3

b = 1

Hence |x + 1| ≥ 2

The inequality solved to give a solution of x ≥ 1 and x ≤ -3 is |x + 1| ≥ 2. b = 1, ≥

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Answer:

C

Step-by-step explanation:

To write the equation of a line use the point slope form of a line substituting m = -1/2 and the point (-2,-3).

[tex]y -y_1 = m(x-x_1)\\y --3=-\frac{1}{2}(x--2)\\y+3 = -\frac{1}{2}(x+2)[/tex]

Convert to standard form by applying the distributive property and rearranging the terms.

[tex]y + 3 = -\frac{1}{2}(x+2)\\y+3 = -\frac{1}{2}x -1\\2y + 6 = -x -2\\x+2y + 6 = -2\\x + 2y = -8[/tex]

The equation x +2y = -8 is the same equation as 4y + 2x = -16 just doubled----> 2x + 4y = -16

Answer:

B    (2,1)

Step-by-step explanation:

Answer: B. (2,1)

Step-by-step explanation:

The given system of equation :

[tex]y=2x-3...........................(1)\\\\y=-2x+5.............................(2)[/tex]

Adding equation (1) and (2), we get

[tex]2y=-3+5\\\\\Rightarrow\ 2y=2\\\\\Rightarrow\ y=1[/tex]

Substitute the value of y in the first equation , we get

[tex]1=2x-3\\\\\Rightarrow\ 2x=1+3\\\\\Rightarrow\ 2x=4\\\\\Rightarrow\ x=2[/tex]

Therefore, the solution to the given system of equations = (2,1)

Answer:

Step-by-step explanation:either C or

B

Answer:

25

Step-by-step explanation:

Divide 17 by 68%.

Hope that helps!

Step-by-step explanation:

Let's set up a proportion.

17/x=68/100.

Now if we solve for x it would equal to 25. They played 25 games.

Brainliest? :)

Final answer:

[tex]\[ 25 \times 3 = 75 \][/tex]

Explanation:

To express the multiplication of 25 and 3 as a numerical expression, we use the multiplication symbol "×" to indicate the operation. Therefore, the numerical expression for the product of 25 and 3 is [tex]\( 25 \times 3 \).[/tex]

To calculate this, we simply multiply 25 by 3:

[tex]\[ 25 \times 3 = 75 \][/tex]

So, the result of the numerical expression[tex]\( 25 \times 3 \)[/tex] is 75.