Factor this polynomial completely x^2-64

Answer:

Step-by-step explanation:

[tex]\text{The slope}[/tex]

[tex]m=\dfrac{rise}{run}[/tex]

[tex]rise=-4\\\\run=-1[/tex]

[tex]m=\dfrac{-4}{-1}=4[/tex]

The required slope of the graph exists 4.

The graph exists in a straight line.

The line passes through the points (0, -3) and [tex]$\left(\frac{3}{4}, 0\right)$[/tex].

We know the slope of a straight line passing through the points (a, b) and (c, d) is given by

[tex]$m=\frac{d-b}{c-a} .$$[/tex]

Therefore, the slope of the given line is

[tex]$m=\frac{0-(-3)}{\frac{3}{4}-0}$$[/tex]

[tex]$&\Rightarrow m=\frac{3}{\frac{3}{4}} \\[/tex]

[tex]$&\Rightarrow m=3 \times \frac{4}{3}\end{aligned}$$[/tex]

[tex]$\Rightarrow m=4 \text {. }$$[/tex]

The required slope of the graph exists 4.

Therefore, the correct answer is option D. 4

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Step-by-step explanation:

Let the total amount of salary be X, then

3/10X + 2/3X + amount left= his salary(X)

(9X + 20X)/ 30 + 2100 = X

29X/30 - X = -2100

(29X - 30X)/30 = -2100

by cross multiplying

-X = -2100×39

-X = -81900

divide both side by -1

X = 81900.

therefore his salary = 81900

Answer:

Muli's salary = 62,000

Step-by-step explanation:

Let Muli's salary  be x.

Money spent on food = 3/10 of x = 3x/10

Money spent on rent = 2/3 of x = 2x/3

Money left with him = 2100

(3x/10) + (2x/3) + 2100 = x

x - (3x/10) - (2x/3) = 2100             ( LCM = 30)

30x/30 - 9x/30 - 20x/30 = 2100

(30x - 9x - 20x ) / 30 = 2100

x/30 = 2100

x = 2100 * 30 = 62,000

Answer:

x=18y+5

Step-by-step explanation:

Answer:

x = 5 + 18y

Step-by-step explanation:

Equation: [tex]\frac{4(x - 5)}{8}[/tex] = 9y

Multiply and distribute: 4x - 20 = 72y

Add: 4x = 20 + 72y

Divide: x = 5 + 18y

Answer:

the correct answer is C

Step-by-step explanation:

Number of favorite outcomes=5

Total Number of outcomes=9

5/9 = 0.56

The probability that the next Tucker family vacation lasts less than 333 days is about 0.560.560, point, 56.

Answer:

( A )

Step-by-step explanation:

To solve this problem you must apply the procedure shown below:

1. You have the following equation given above:

2. The negative four will pass as a positive four to the right member.

3. Te sum of 7 and 4 will be divided by , as following:

Answer:

Step-by-step explanation:

The given equation is :

Cx-4=7.

To solve for x we isolate the x term .

Adding 4 both sides:

Cx=7+4

Cx=11

To x term C is multiplied ,performing  the opposite operation that is dividing both sides by C we have :

x=[tex]\frac{11}{C}[/tex]

Solving for  b  by simplifying both sides of the equation, then isolating the variable.

b  =  −y  +  6x

----

Choosing three values for  x  and substitute in to find the corresponding  y  values.

(0,−3)  ,  (1,0)  ,  (2,3)

____

I hope this helps, as always. I wish you the best of luck and have a nice day, friend..

Answer:

Step-by-step explanation:

y = 6x -b

and -3x +y =-3

on simplifying equation 2 ,we have y = 3x -3

System of equation has infinite number of solution if one equation can be obtained by multiplying by suitable non zero number

if we multiply equation by 2 we get y =6x -6

Since coefficient of x and y is same therefore comparing the value of x b with constant in another equation which is 6 .

therefore b =6

Answer:

y=ln(x/(1-x))

Step-by-step explanation:

y=e^x/(1+e^x)

Cross multiply

y(1+e^x)=e^x

Distribute

y+ye^x=e^x

Put anything with x on with side and everything without x on opposing side:

y=e^x-ye^x

Factor right hand side

y=(1-y)e^x

Divide both sides by (1-y)

y/(1-y)=e^x

Use natural log.

ln(y/(1-y))=x

The inverse is

y=ln(x/(1-x))

Answer:

$6.88

Step-by-step explanation:

We are trying to compare two options: Buying a magazine for 12 months or for just 1 year.

To solve this, we can multiply the monthly rate by 12 because there are 12 months in a year.

5.99 x 12 = 71.88

The other option is to just pay $65 dollars for a whole year (12 months).

Comparing the two options, we see paying for the whole year is cheaper than paying for each month individually. Because of this, we can subtract $65, the cheaper option, from $71.88 to get $6.88

Chris will save $6.88 by paying for the whole year instead of purchasing for each month.

Answer:

120

Step-by-step explanation:

Evaluate the expression by substituting the given values into it

4(6 + 24) = 4 × 30 = 120

Answer:

17 is the missing the number

Step-by-step explanation:

Pattern: +1, +3, +5, +7, etc.

[tex]\bf \begin{array}{ccll} grams&people\\ \cline{1-2} 480&4\\ x&14 \end{array}\implies \cfrac{480}{x}=\cfrac{4}{14}\implies \cfrac{480}{x}=\cfrac{2}{7}\implies 3360=2x \\\\\\ \cfrac{3360}{2}=x\implies 1680=x[/tex]

Answer:

The corresponding point is (5,8)

Step-by-step explanation:

In this problem we know that

The rule of the transformation is equal to

(x,f(x)) ------> (x,f(x)+4)

so

for the point (5,4)

x=5, f(x)=4

substitute

(5,4) ------> (5,4+4)

(5,4) ------> (5,8)

therefore

The corresponding point is (5,8)

Answer:

[tex]\frac{83}{186}[/tex]

Step-by-step explanation:

In probability, "OR" means "+" and "AND" means "*".

The total amount of people is:

32 + 54 + 78 + 112 + 96 = 372

Number of diabetic patients are 54

Number of eye patients are 112

Since we want "OR", we will add the two probabilities:

P(diabetic or eye problem) = 54/372 + 112/372 = 83/186

Answer:

2.507* 10^-4

Step-by-step explanation:

0.0002507

We need to have one number to the left of the decimal

We move the decimal 4 places to the right

Since we moved the decimal to the right, the exponent on the power of 10 is negative

2.507* 10^-4

Answer:

y=-2

Step-by-step explanation:

y+3y+5y=−18

Combine like terms

9y = -18

Divide each side by 9

9y/9 = -18/9

y = -2

The equation y + 3y + 5y = -18 simplifies to 9y = -18; solving for y, we find y = -2.

The equation presented is y + 3y + 5y = −18. To find the value of y, we first need to simplify the left-hand side of the equation by adding the similar terms together. In this equation, all terms on the left-hand side are multiples of y. Thus, y + 3y + 5y simplifies to 9y.

Our equation then becomes 9y = -18. To solve for y, we divide both sides of the equation by 9, yielding y = -2.

So, the value of y in this equation is -2.

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The most appropriate description ascribed to the meaning of definition from the options given is ; A precise statement of the qualities of an idea, object or process.

Therefore, since the definition ascribed to a process or phenomenon as to be original and precise, then the most appropriate statement is the option C.

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1: n+5

2: n-5

3: x+8

4: x-8

5: 8-x

6: 5-n

7: x+(5+7)

8: x+(8+2)

9: x+(8-2)

10: x+x

Answer:

5 sports

Step-by-step explanation:

To find the number of sports, take the total number of kids and divide by the number of teams

625/125 = 5

There are 5 sports

[tex]\text{Hey there!}[/tex]

[tex]\text{In order for you to find the number of sports were there, we have to divide!}[/tex]

[tex]\bullet\ \text{625 kids play sports}[/tex]

[tex]\bullet\ \text{125 kids on each team}[/tex]

[tex]\text{625 will be our numerator (or front number)}[/tex]

[tex]\text{125 will be our denominator (or back number)}[/tex]

[tex]\dfrac{625}{125}=625\div125=5[/tex]

[tex]\boxed{\boxed{\bf{Your\ answer:5}}}\checkmark[/tex]

[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{LoveYourselfFirst:)}[/tex]

Answer:

Option D 37.5 miles

Step-by-step explanation:

we know that

The scale on a map is [tex]\frac{1}{5}\frac{in}{mi}[/tex]

so

using proportion

Find the actual distance for a length on a map of 7.5 in

Let

x ----> the actual distance

[tex]\frac{1}{5}\frac{in}{mi}=\frac{7.5}{x}\frac{in}{mi}\\ \\ x=7.5*5\\ \\x=37.5\ mi[/tex]

[tex]|\Omega|=2^2=4[/tex]

1.

[tex]|A|=2\\P(A)=\dfrac{2}{4}=\dfrac{1}{2}[/tex]

2.

[tex]|A|=3\\P(A)=\dfrac{3}{4}[/tex]

3.

[tex]|A|=3\\P(A)=\dfrac{3}{4}[/tex]

Answer:

x(x + 1) ≤ 0

-1 ≤ x ≤ 0

{x | x ≥ -1 and x ≤ 0}

Follow steps:

Solving the Inequality x(x+1)≤0

To solve x(x+1)≤0, we need to find values of x where the product is negative or zero. X can be split into the regions x < 0 and x > 0. As x approaches zero from either direction, x(x+1) approaches zero as well. The function is zero at the roots of the equation x(x+1) = 0, which are x = 0 and x = -1. These two roots divide the real line into three intervals: (-∞, -1), (-1, 0), and (0, ∞). Analyzing each interval:

For x in (-∞, -1), x < -1 and x+1 < 0, so the product x(x+1) is positive.

For x in (-1, 0), x is negative and x+1 is positive, so the product x(x+1) is negative.

For x in (0, ∞), both x and x+1 are positive, and thus, the product x(x+1) is positive.

The inequality is only satisfied in the interval where the product is negative or zero. Therefore, the solution is [{-1}, 0], which can be written in interval notation as (-1, 0]. This is a single continuous interval that includes the root x = 0 and excludes the root x = -1.

Finally, using interval notation, we express the solution to the inequality x(x+1)≤0 as (-1, 0].

Answer:

The difference is 8 F

Step-by-step explanation:

The difference means subtract

56-48 = 8

The difference is 8 F

Answer:

[2, 1]

Step-by-step explanation:

By the Elimination method, you are left with 8x = 16 because -8 and 8 are what are called Additive Inverses, meaning they result in 0⃣; x = 2, plug 2⃣ back into both equations, and you will see that y = 1, making the solution above.

Answer:

Infinitely many

8

Step-by-step explanation:

First, you subtract by 4s both sides of equation.

4s+8-4s=3+5+4s-4s

Then, simplify.

8=3+5

Same thing like order of operations.

Parenthesis

Exponent

Multiply

Divide

Add

Subtract

Add the numbers from left to right.

3+5=8

8=8 is true

8 is the correct answer.

Infinitely many is the correct answer.

The given equation has no solution.

As the given equation is:

[tex]4s+8=3+5+4s\\[/tex]

So, if we simplify we get;

[tex]8=3+5+4s-4s[/tex] (subtracting 4s from both sides of the equation)

Now, on adding we get;

[tex]8=8[/tex]

So, LHS=RHS.

Therefore, there is no variable for which we can find the solution.

Hence option(b) none is the correct answer

An equation is a mathematical expression that contains an equals symbol. Equations often contain algebra. Algebra is used in maths when you do not know the exact number in a calculation. Many professionals use equations every day, including air traffic controllers, architects, computer programmers and carpenters.

An equation is a mathematical statement that is made up of two expressions connected by an equal sign. For example, 3x – 5 = 16 is an equation. Solving this equation, we get the value of the variable x as x = 7.

Equation is defined as the state of being equal and is often shown as a math expression with equal values on either side, or refers to a problem where many things need to be taken into account. An example of an equation is 2+2 = 3+1.

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Answer:

The answer for this question is B (10) I have shown a step by step explaination for you to understand how I got this answer

Step-by-step explanation:

4x-2=x+28

-x -x

3x-2=28

+2 +2

3x=30

3x/3 = 30/3

x=10

The value of x for which DEFG must be a parallelogram is Option(B) 10 .

A parallelogram is a simple quadrilateral with two pairs of parallel sides. The opposite or facing sides of a parallelogram are of equal length and the opposite angles of a parallelogram are of equal measure.

As we know that for a parallelogram, the opposite adjacent sides are always parallel and equal in length.

Therefore, for DEFG to be a parallelogram, the sides DH and FH must be equal in length.

We have,  DH = FH

⇒ 4x - 2 = x + 28

⇒ 3x = 30

∴  x = 10

Thus, the value of x for which DEFG must be a parallelogram is Option(B) 10 .

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Answer:

False.

Because Only one circle can be circumscribed about a given triangle.

Final answer:

The statement that many triangular shapes can be circumscribed about a given circle is true, as an infinite number of triangles can be formed by connecting any three distinct points on the circumference of the circle.

Explanation:

The statement "Many triangular shapes can be circumscribed about a given circle" is true. By definition, a circumscribed triangle is one that surrounds a circle, touching the circle exactly at its perimeter at three points.

Given a circle, you can indeed construct infinite triangles that circumscribe the circle, as for any set of three points on the circumference of the circle, a unique triangle can be formed.

In mathematical terms, three points determine one of these curves; that is, through any three points not in a straight line on a circle's circumference, we can draw a unique triangle which will circumscribe the circle.

Since there are an infinite number of points on a circle's circumference, we can choose an infinite number of triplets of points, each producing a different circumscribed triangle.

Answer:

√'xy/y

Step-by-step explanation:

1. [x*y^(1/2)] / [y * x^(1/2)]  

= [x^(1/2) * y^(1/2)] / y  

= (xy)^(1/2) / y  

You'll get your answer as :  √'xy/y

Answer:

you just need memorize some of the side lengths of right triangle, or you can use this formula to calculate: a^2 + b^2 = c^2

For example, you need memoreize this group of side lengths of right triangle: 3 , 4 , 5

and in your options, there is a group is same as 3, 4 , 5 but it's 8 times bigger.

The answer is:

D. 24, 32, 40

Answer:

D.

Step-by-step explanation:

In a right triangle, the sum of the squares of the two shorter sides will equal the square of the longest side.

The law to observe here is the Pythagorean theorem where;

[tex]a^2+b^2=c^2\\[/tex]

where a and b are the two shorter sides where as c is the longest side/hypothenuse

In this question the last option is correct.How?

Lets take a=24 and b=32, what is c?

You apply;

[tex]a^2+b^2=c^2\\\\24^2+32^2=c^2\\\\\\576+1024=1600\\\\c^2=1600\\\\c=\sqrt{1600} =40[/tex]

Hence option D is correct where ;

[tex]24^2+32^2=40^2[/tex]