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Answer:

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(x+2)(x-2) / (x-1)(x-5) this is the simplified form of the expression.

What is fraction?

A fraction is a mathematical term that represents a part of a whole or a ratio between two quantities. It is a way of expressing a number as a quotient of two integers, where the top number is called the numerator, and the bottom number is called the denominator.

x²-3x-10/x²-6x+5 • x-2/x-5

We can factor the numerator and denominator of the first fraction as follows: (x-5)(x+2) / (x-5)(x-1)

Notice that there's a common factor of x-5 in both the numerator and denominator. We can cancel them out, leaving: (x+2) / (x-1)

Now let's simplify the second fraction:

x-2 / x-5

We can't simplify this fraction any further, so we leave it as is.

Putting it all together, we get:

(x+2) / (x-1) * (x-2) / (x-5)

Multiplying the two fractions, we get:

(x+2)(x-2) / (x-1)(x-5)

This is the simplified form of the expression.

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Answer:

Step-by-step explanation:

The multiplicity of a root affects the shape of the graph of a polynomial. Specifically, If a root of a polynomial has odd multiplicity, the graph will cross the x-axis at the the root. If a root of a polynomial has even multiplicity, the graph will touch the x-axis at the root but will not cross the x-axis.

Answer:

3.75cm 44.16cm²

20cm 314cm²

42cm 1384.74cm²

Step-by-step explanation:

Area of a circle = πr²

Where : = π = pi = 3.14

R = radius

the diameter is the straight line that passes through the centre of a circle and touches the two edges of the circle.

A radius is half of the diameter

16. Radius = 7.5 / 2 = 3.75

Area = 3.14 x 3.75² = 44.16

17. Diameter = 10 x 2 = 20

Area = 10² x 3.14 = 314

18. Diameter = 21 x 2 = 42

Area = 21² x 3.14 = 1384.74

Answer:

The answer is the square root of 8, or 2root2.

Step-by-step explanation:

Use the distance formula.

d = sqrt((-3-(-5))^2 + (-3-(-1)))

d = sqrt(2^2 + 2^2)

d = sqrt(4 + 4)

d = sqrt8

d = sqrt4 * sqrt2

d = 2 * sqrt2

Answer:

Espanol la vecsu

Step-by-step explanation:

Answer:

x = 1

Step-by-step explanation:

The diagonals of a rectangle bisect each other , so

DE = EB , that is

7x - 1 = 2x + 4 ( subtract 2x from both sides )

5x - 1 = 4 ( add 1 to both sides )

5x = 5 ( divide both sides by 5 )

x = 1

Answer:

last step is (2x + 5)(2x + 1)

Step-by-step explanation:

4x^2 + 12x + 5

4x^2 + (10 + 2)x + 5

4x^2 + 10x + 2x + 5

2x(2x + 5) +1(2x + 5)

(2x + 5)(2x + 1)

Answer:

8[tex]v^{-3}[/tex]z - [tex]\frac{5}{3}[/tex] vz

Step-by-step explanation:

Answer:

espero ayudarte ..............❤❤

Answer:

b

Step-by-step explanation:

Answer:

x ≥ 12

Step-by-step explanation:

-3/4x +2 ≤ -7

Subtract 2 from each side

-3/4x +2-2 ≤ -7-2

-3/4x  ≤ -9

Multiply each side by -4/3, remembering to flip the inequality

-3/4x * -4/3 ≥ - 9 *(-4/3)

x ≥ 12

Answer:

x>=12

Step-by-step explanation:

-3/4x + 2<=-7

-3/4x <= -7 -2

-3/4x<=-9

cross multiply

-3x<=-36

dividing throughout by -3

x>=12

Answer:

A = 286 episodes

B = 284 episodes

Step-by-step explanation:

Let n = the [tex]\text{number of episodes}[/tex] of show B

    n + 2 = the [tex]\text{number of episodes}[/tex] of show A

Therefore, according to the question,

The sum of the number of the episodes of each show are consecutive even integers  = 570

Therefore,

n + n + 2 = 570

2n + 2 = 570

2n = 568

n = 284

Therefore, the number of episodes for B = 284

The number of episodes for A = n + 2 = 284 + 2

                                                              = 286

Answer:

The contrapositive of the statement is true.

Step-by-step explanation:

For a general statement:

p ⇒ q

The contrapositive statement is:

¬q ⇒ ¬p

where:

¬q is the negation of the proposition q.

Here we have the statement:

If two angles are not complements, then their measures do not add up to 180°

So we have:

p = two angles are not complements

q = their measures do not add up to 180°

Then the negations are:

¬p = two angles are complements

¬q = their measures do add up to 180°

The contrapositive statement is:

"if for two angles their measures do add up to 180°, then the two angles are complements"

This is true, if for two angles the sum of their measures is equal to 180°, then these angles are complementary.

Then: The contrapositive of the statement is true.

Answer:

y = -3x + 13

Step-by-step explanation:

First, find the slope:

[tex]m=\frac{y_1-y_2}{x_1-x_2}\\\\m=\frac{4-10}{3-1}\\\\m=\frac{-6}{2}\\\\m=-3[/tex]

Finally, find the equation:

[tex]y-y_1=m(x-x_1)\\\\y-4=-3(x-3)\\\\y-4=-3x+9\\\\y=-3x+13[/tex]

Answer:

No solution is possible from the informatin provided.

Step-by-step explanation:

You didn't include the table,

Answer:

y intercept is found from the pair that has a 0 for the x variable.

Step-by-step explanation:

if a choice was (0,2) this would be the point where the line intercepts the y axis.

x=0 is the position of the vertical line, and 2 is how high up the graph the line passes through the y-axis

Answer: B (0,0) r=4

Step-by-step explanation:

9514 1404 393

Answer:

  45

Step-by-step explanation:

Let x and y represent the tens and ones digits, respectively. The 5 times the sum of digits is 5(x+y). The value of the digit-reversed number is (10y+x), so the required relation is ...

  5(x +y) = (10y +x) -9

The other relationship between the digits is given as ...

  4y = 1/2(10x)

A graphing calculator shows the solution to these equations is (x, y) = (4, 5).

The two-digit number is 45.

__

Additional comment

You can solve these equations in any of a variety of ways. Using a graphing calculator to find integer solutions is fast and easy, so is one of my favorites. Here, the coefficients on one equation are not easy multiples of those in the other, so substitution and/or elimination can get messy. In this situation, I like to use the "cross-multiplication" method, which starts with the equations in general form:

From the coefficients of these equations, differences of cross products are formed:

Then the solutions are the solutions to 1/d1 = x/d2 = y/d3:

(x, y) = (4, 5)   ⇒   the number is 45.

__

This method is one of several variations of Cramer's Rule, the general solution of systems of linear equations using matrix methods.

Answer:ʜᴛᴛᴘꜱ://ᴡᴡᴡ.ʏᴏᴜᴛᴜʙᴇ.ᴄᴏᴍ/ᴡᴀᴛᴄʜ?ᴠ=ᴅQᴡ4ᴡ9ᴡɢxᴄQ

Step-by-step explanation:

Heres the answer but its on a another page.

Im joking

here's the answer

the first one is 878 i think that what your looking for at the top

Answer:

B. y= ¼

Step-by-step explanation:

3 + ^4√4y = 4

^4√4y =4-3

^4√4y = 1

^4√4y =^4√1

so, 4y = 1

y = ¼

Answer:

Since acceleration is the derivative of velocity, velocity is the antiderivative of acceleration. If you know the acceleration for all time, and if you know the starting velocity, you can figure out the velocity for all time.

Step-by-step explanation:

Answer:

Since acceleration is the derivative of velocity, velocity is the antiderivative of acceleration. If you know the acceleration for all time, and if you know the starting velocity, you can figure out the velocity for all time.

Answer:

Correct answers= 18

Incorrect answers=30-18= 12 answers

Step-by-step explanation:

total questions=30

correct answers= x

incorrect answers= 30-x

given: 5 marks for each correct answer

therefore, marks for correct answers = 5*x = 5x

Given: 1 mark deducted for every incorrect answer

therefore, marks deducted = 1(30-x) = 30-x

Total marks scored= 78

★  The Difference of Marks scored for Correct Answers and Marks deducted for Incorrect Answers should be equal to 78

5x- (30-x) =78

5x-30+x=78

5x+x=78+30

6x= 108

x=108/6 = 18

Correct answers= 18

Incorrect answers=30-18= 12 answers

[tex]\huge\textsf{Hey there!}[/tex]

[tex]\large\textsf{Guide}\downarrow[/tex]

[tex]\large\textsf{Penny: 1 cent} \\\large\textsf{Nickel: 5 cents}\\\large\textsf{Dime: 10 cents}\\\large\textsf{Quarter: 25 cents}\\\large\textsf{Half dollar: 50 cents}\\\large\textsf{1 bill = 1 dollar}[/tex]

[tex]\large\textsf{6 dimes:}\downarrow[/tex]

[tex]\large\textsf{= 10 + 10 + 10 + 10 + 10 + 10}[/tex]

[tex]\large\textsf{= 20 + 20 + 20}[/tex]

[tex]\large\textsf{= 40 + 20}[/tex]

[tex]\large\textsf{= \bf 60}[/tex]

[tex]\large\textsf{6 dimes = \bf 60 cents}[/tex]

[tex]\large\textsf{8 nickels}[/tex]

[tex]\large\textsf{= 5 + 5 + 5 + 5 + 5 + 5 + 5 + 5}[/tex]

[tex]\large\textsf{= 10 + 10 + 10 + 10}[/tex]

[tex]\mathsf{= 20 + 20}[/tex]

[tex]\large\textsf{= \bf 40}[/tex]

[tex]\large\textsf{8 nickels = \bf 40 cents}[/tex]

[tex]\large\textsf{3 one dollar bills}[/tex]

[tex]\large\textsf{= 1 + 1 + 1}[/tex]

[tex]\large\textsf{= 2 + 1 }[/tex]

[tex]\large\textsf{= \bf 3}[/tex]

[tex]\large\textsf{3 one dollar bills = \bf 3 dollars}[/tex]

[tex]\large\textsf{NOW LETS SOLVE FOR YOUR EQUATION}[/tex]

[tex]\large\textsf{3.00 + 0.60 + 0.40}[/tex]

[tex]\large\textsf{= 3.60 + 0.40 }[/tex]

[tex]\large\textsf{= \bf \$4}[/tex]

[tex]\boxed{\boxed{\large\textsf{Therefore, your answer is: \huge \bf \$4}}}\huge\checkmark[/tex]

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

~[tex]\frak{Amphitrite1040:)}[/tex]

Answer:

153.3852

Step-by-step explanation:

After the decimal, you count the places. 3 is in the ones place, 8 in the tenths, 5 in the hundreths, and 1 in the thousandths. The thousandths place is what we are rounding, so we look at the next number, 9, which tells us to round the 1 up to 2

Answer:

153.385

Step-by-step explanation:

153.38519

153.38519

The digit to the right of the thousandth (the the one, which is bolded) is less than or equal to 4, which means we round down.

153.38519 ≈ 153.385

Hope this helps.

Step-by-step explanation:

[tex] \frac{135}{100} \times \frac{280}{1} = 378[/tex]

Answer:

After three months the value of the food bill will be $ 224.64.

Step-by-step explanation:

Given that during the worst periods of hyperinflation in a certain country, the price of the food increased at a rate of 20% per month, for state whether this increase was linear or exponential, and determine, if your food bill was $ 130 in one month during this period, what was it three months later, the following calculations must be performed:

A hyperinflation raises prices exponentially (the percentage is calculated based on the increase of the previous month). Thus, to calculate the price of the food bill, the following calculation must be performed:

130 x 1.20 ^ 3 = X

130 x 1.728 = X

224.64 = X

Therefore, after three months the value of the food bill will be $ 224.64.

Kyle filled 6 10-oz cup(s), 11 14-oz cup(s), and 4 ​20-oz cup(s).

Let's define the variables:

x = number of 10-oz cups of coffee sold.

y = number of 14-oz cups of coffee sold.

z = number of 20-oz cups of coffee sold.

We know that:

Kyle served 21 cups of coffee, then:

x + y + z = 21

He used 294 ounces of coffee, then:

x*10 oz + y*14 oz + z*20 oz = 294 oz

He collected a total of $24.35, then:

x*($0.95) + y*($1.15) + z*($1.50) = $24.35

Then we have a system of 3 equations:

x + y + z = 21

x*10 oz + y*14 oz + z*20 oz = 294 oz

x*($0.95) + y*($1.15) + z*($1.50) = $24.35

To solve this, the first thing we need to do is isolate one of the variables in one of the equations, let's isolate x in the first one.

x = 21 - y - z

Now we can replace this in the other two equations to get:

(21 - y - z)*10 oz + y*14 oz + z*20 oz = 294 oz

(21 - y - z)*($0.95) + y*($1.15) + z*($1.50) = $24.35

Now we can simplify these two equations:

y*4 oz + z*10 oz = 294 oz - 210oz = 84 oz

y*($0.20) + z*($0.55) = $24.35 - $19.94 = $4.40

Now we need to do the same thing, we need to isolate one of the variables in one of the equations, we can isolate z in the first one:

z*10 oz = 84oz - y*4 oz

z = (84oz - y*4 oz)/10oz

z = 8.4 - y*0.4

Now we can replace this in the other equation:

y*($0.20) + ( 8.4 - y*0.4)*($0.55)  = $4.40

Now we can solve this for y.

y*($0.20) + $4.62 - y*$0.22 = $4.40

y*$0.02 = $4.40 - $4.62 = $0.22

y = $0.22/$0.02 = 11

Now that we know the value of y, we can use:

z = 8.4 - y*0.4

z = 8.4 - 11*0.4 = 4

Now that we know the value of z and y we can use:

x = 21 - y - z

x = 21 - 11 - 4 = 6

Then we found:

x = 6

y = 11

z = 4

this means that:

Kyle filled 6 10-oz cup(s), 11 14-oz cup(s), and 4 ​20-oz cup(s).

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Answer:

[tex] { \tt{d = (r + c)t}}[/tex]

Divide ( r+c ) on both sides:

[tex]{ \tt{t = { \frac{d}{(r + c)} }}}[/tex]

Answer:

d / ( r + c) = t

Step-by-step explanation:

d = ( r + c ) t

Divide each side by ( r + c)

d / (r + c ) = ( r + c ) t / ( r + c)

d / ( r + c) = t

Answer:

Below.

Step-by-step explanation:

If the sum of any 2 sides are less than or equal to the third side then there's no triangle

1. N0 because 4 + 5 < 10

2. YES

3. NO because 2 + 3 = 5.

Answer:

Step-by-step explanation:

1 . 4,5,10 : this measurement does not form a triangle because the sum of two  sides is not greater than the third side (longest side)

4 + 5 > 10

9 > 10   (this is not satisfied)

2. 12,26,20 :this measurement forms  a triangle beacuse the sum of two sides is greater than the third side

12 + 26 > 20

38 > 20

3 .

2,3,4 : this measurement does not form a triangle because the sum of two sides is not greater than the third side.

2 + 3 > 5

5 > 5  (this is not satisfied)

Answer:c

Step-by-step explanation:

The equivalent expression is 1 + In 2 - In x.

Given:

[tex]$\ln \left(\frac{2 e}{x}\right)$[/tex]

Apply log rule:

[tex]$$\log _{C}\left(\frac{a}{b}\right)=\log _{c}(a)-\log _{c}(b)$[/tex]

[tex]$&\ln \left(\frac{2 e}{x}\right)=\ln (2 e)-\ln (x) \\[/tex]

= ln (2e) - ln (x)

Apply log rule:

[tex]$\log _{c}(a b)=\log _{c}(a)+\log _{c}(b)$[/tex]

ln (2e) = ln (2) + ln (e)

= ln (2) + ln (e) - ln (x)

Apply log rule:

[tex]$\log _{a}(a)=1$[/tex]

= ln (2)+1-ln (x)

Therefore, the correct answer is option C. 1 + In 2 - In x.

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