find the value of "a" and "b" for which the limit exists both as x approaches 1 and as x approaches 2:

Answer:

[tex]y = \frac{2}{7} x[/tex]

Step-by-step explanation:

The slope is

[tex]slope = \frac{rise}{run} = \frac{2}{7} [/tex]

The y-intercept is 0

The equation of line between the points is y = ( 2/7 )x

The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept

And y - y₁ = m ( x - x₁ )

y = y-coordinate of second point

y₁ = y-coordinate of point one

m = slope

x = x-coordinate of second point

x₁ = x-coordinate of point one

The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Given data ,

Let the equation of line be represented as A

Now , the value of A is

Let the first point be P ( 7 , 2 )

Let the second point be Q ( 0 , 0 )

Now , the slope of the line is m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Substituting the values in the equation , we get

Slope m = ( 2/7 )

Now , the equation of line is y - y₁ = m ( x - x₁ )

y - 0 = ( 2/7 ) ( x - 0 )

y = ( 2/7 )x

Hence , the equation of line is y = ( 2/7 )x

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Answer:

trinomial = 5x

GCF = 2x(x + 5) + 5(x + 5)

Step-by-step explanation:

2x^2 + 15x + 25

using middle term break method

2x^2 + (10 + 5)x + 25

2x^2 + 10x + 5x + 25

therefore trinomial = 2x^2 + 10x + 5x + 25

GCF(Greatest Common Factor) = 2x^2 + 10x + 5x + 25

=2x(x + 5) + 5(x + 5)

take (x + 5 ) as common

(x + 5)(2x + 5)

(x + 5)(5 + 2x)since the sign of 5 and 2x is same i.e plus sign u can change their place.

Step-by-step explanation:

Hope it helps If u have any confusion regarding this kindly inform me , i will try my best to answer

[tex]\tt\displaystyle\ \star a^2-b^2=(a-b)(a+b)\star\\\\ a^2-2(a+b)-b^2=a^2-b^2-2(a+b)=\\\\\underline{(a+b)}(a-b)-2\underline{(a+b)}=\boxed{(a+b)(a-b-2)}[/tex]

Answer:

Augusto vivió durante 75 años cumplidos, muriendo casi un mes antes de cumplir 76 años.

Step-by-step explanation:

Dado que Augusto nació en Roma el 23 de septiembre del año 63 a. C y fue el primer emperador romano que gobernó entre el año 27 a. C y 14 d. C considerándose como el emperador con el reinado más prolongado de la historia, y después de su muerte el 19 de agosto del año 14 d. C el senado romano lo inmortalizó glorificando su legado, por esta razón, varios de los emperadores que lo siguieron adoptaron sus nombres, para determinar cuántos años cumplidos vivió Augusto se debe realizar el siguiente cálculo:

Nacimiento: 23/09/63 AC

Primer año: 23/09/62 AC

Tercer año: 23/09/60 AC

Sesenta y dos años: 23/09/01 AC

Sesenta y tres años: 23/09/01 DC

Setenta y tres años: 23/09/11 DC

Setenta y cinco años: 23/09/13 DC

Así, Augusto vivió durante 75 años cumplidos, muriendo casi un mes antes de cumplir 76 años.

Answer:

Below.

Step-by-step explanation:

(1/3)X = 849

x = 849*3 = 2547

The total pay per month of an operator is equal to $2547.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that an operator in the plant receives a monthly salary. His rent, which is $849, takes up exactly 1/3.

The total monthly salary will be calculated as,

(1/3)X = 849

X = 849 x 3

X= 2547

Therefore, the total pay per month of an operator is equal to $2547.

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Answer:

4x² - 24x + 20 = 0

Step-by-step explanation:

a(1)² + b(1) + 20 = 0

a(5)² + b(5) + 20 = 0

a + b = - 20 ⇒ b = - a - 20 ...... (1)

25a + 5b = - 20 .......... (2)

(1) -----> (2)

25a + 5( - a - 20) = - 20

20a - 100 = - 20 ⇒ a = 4

4 + b = - 20 ⇒ b = - 24

4x² - 24x + 20 = 0

Answer:

1

Step-by-step explanation:

The difference of 12 and 9 is 12 - 9 = 3

Then 3 ÷ 3 = 1

Answer:

x = -3

Step-by-step explanation:

Here, this is a vertical line

What this mean here is that the x-value remains constant irrespective of the y value

For all the y values, we have a single x-value

so what this mean is to simply locate the x-axis. value and equate it to x

We have this as;

x = -3

Answer:

£288

Step-by-step explanation:

Kathy bought a TV for the cost of 360 pounds, including VAT (taxes).

Since the taxes are 20% of the TV's value, we can calculate 20% of 360.

20% of 360 = 72

360 - 72 = 288

Therefore, the cost of the TV before taxes was £288.

Answer:

d

Step-by-step explanation:

Answer:

$2.25

Step-by-step explanation:

>givens:

2 pretzels + 1 lemonade = $5.75

2 lemonades = 1 pretzel + $0.25

>find from the first equation how much is 1 lemonade

2 pretzels + 1 lemonade = $5.75, subtract 2 pretzels from both sides

1 lemonade = 5.75 -2 pretzels

>substitute in the second equation 2 lemonades with 2(5.75-2 pretzels)

2 lemonades = 1 pretzel + $0.25

2(5.75-2 pretzels) =  1 pretzel + $0.25, distribute 2 in parentheses

11.5 -4 pretzels = 1 pretzel +0.25, isolate like terms

11.5-0.25 = 1+4 pretzels, combine like terms

11.25 = 5 pretzels, divide both sides by 5

1 pretzel = $2.25

*you can use the letter "p" for pretzel and "l" for lemonade to make the equations more concise

Answer:

12 liters per min

Step-by-step explanation:

Math

27/4 = x

9/16      1

27/4=(9/16)x

Divide both sides by 9/16

12=x

Answer:

[tex]\displaystyle y=\frac{1}{2}x+5[/tex]

Step-by-step explanation:

We want to find the slope in slope-intercept form of a line that is parallel to:

[tex]\displaystyle y=\frac{1}{2}x-2[/tex]

And passes through the point (-8, 1).

Recall that parallel lines have equivalent slopes.

Since the slope of our given line is 1/2, the slope of our new line must also be 1/2.

We are also given that it passes through the point (-8, 1). Since we are given a slope and a point, we can use the point-slope form:

[tex]y-y_1=m(x-x_1)[/tex]

Substitute 1/2 for m and (-8, 1) for (x₁, y₁). Hence:

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

Since we want the equation in slope-intercept form, we can isolate y. Distribute:

[tex]\displaystyle y-1=\frac{1}{2}x+4[/tex]

Therefore, our equation is:

[tex]\displaystyle y=\frac{1}{2}x+5[/tex]

Answer:

1. The third quartile

2. The quartile

3. Four

4. 25

5. The second quartile, Q₂

6. 20th percentile

7. Decile

8. Percentile

9. D₈

10. The third quartile, Q₃

Step-by-step explanation:

1. The other term(s) for Q₃ is third quartile (or upper quartile). It is the mid point between the distribution's largest number and the median

2. The measure of position divided into four equal parts is the quartile

3. The quartile is the division of the data at three points (Q₁, Q₂, and Q₃) into four equal parts equal parts

4. Q₁, which is the first quartile is equivalent to the 25th percentile

5. The other term for the median is the second quartile, Q₂

6. D₂ which is the second decile (a decile divides the data into 10 equal parts) is equivalent to 20th percentile

7. The decile, D, divides a given data into 10 equal parts

8. The percentile divides a given data into 100 equal parts

9. The decile equivalent to P80, which is the 80th percentile, is D₈

10. The quartile equivalent to P75, which is the 75th percentile or the three quarter mark point of the data is equivalent to the the third quartile, Q₃

Hi there!  

»»————-　★　————-««

I believe your answer is:  

[tex]x=6[/tex]

»»————-　★　————-««  

Here’s why:  

⸻⸻⸻⸻

[tex]\boxed{\text{Solving for 'x'...}}\\\\3x + 15 = 33\\--------------\\\rightarrow 3x + 15 - 15 = 33 - 15\\\\\rightarrow 3x = 18\\\\\rightarrow \frac{3x=18}{3}\\\\\rightarrow \boxed{x = 6}[/tex]

⸻⸻⸻⸻

»»————-　★　————-««  

Hope this helps you. I apologize if it’s incorrect.  

Answer:

x=6

Step-by-step explanation:

3x+15=33

or as, 3x=33-15

or as, 3x=18

x=18/3=6

so we got 6 is the answer

Answer:

x ≈ 15.66

Step-by-step explanation:

Using the sine ratio in the right triangle

sin50° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{12}{x}[/tex] ( multiply both sides by x )

x × sin50° = 12 ( divide both sides by sin50° )

x = [tex]\frac{12}{sin50}[/tex] ≈ 15.66 ( to the nearest hundredth )

9514 1404 393

Answer:

  16. k^5/j^3

  18. 81y^20

Step-by-step explanation:

The applicable rules of exponents are ...

  (a^b)(a^c) = a^(b+c)

  (a^b)/(a^c) = a^(b-c) . . . . where b may be 0

  (a^b)^c = a^(bc)

  (ab)^c = (a^c)(b^c)

___

We can simplify the given expressions as follows.

  [tex]\dfrac{k^6j^2}{kj^5}=k^{6-1}j^{2-5}=k^5j^{-3}=\boxed{\dfrac{k^5}{j^3}}[/tex]

__

  [tex](x^{-2})^2(3xy^5)^4=(x^{-2\cdot2})(3^4x^4y^{5\cdot4})=81x^{-4+4}y^{20}=\boxed{81y^{20}}[/tex]

Answer:

It might be $17 for how much he has left.

Step-by-step explanation:

$20+$5-$10+5-$3=$17

Answer:

8x-16y

Step-by-step explanation:

8*x-8*2y

8x-16y

Answer.

8x - 16y

Explained in the picture atteached:

Answer:

26

Step-by-step explanation:

We have the average rate of change on the interval [a,b] as

f(b)-f(a)/(b-a)

b = 1 and a = -4

f(b) = f(1) = -2(1)^3 -5 = -2-5 = -7

f(a) = f(-4) = -2(-4)^3 -5 = 128 -5 = 123

so we have;

(123 + 7)/(1+4) = 130/5 = 26

Respuesta:

423

Explicación paso a paso:

En la finca hay que vacunar 525 terneros, si se vacunaron 102, ¿cuántos quedan por vacunar?

Dado :

Número de terneros que deben ser vacunados = 525

Número de terneros que han sido vacunados = 102

Número de terneros que quedan por vacunar = (Número de terneros que deben ser vacunados - Número de terneros que han sido vacunados)

Número de terneros que quedan por vacunar = (525 - 102) = 423

Answer:

Step-by-step explanation:

5²+8²=25+64=89

12²=144

5²+8²≠12²

so it is not aright angled triangle.

Answer:

Not a right triangle

Step-by-step explanation:

A triangle is right if the sides of the triangle satisfies the Pythagoras theorem.

That is square of the largest sides = sum of the sqaures of the sides .

That is ,

            [tex]12^2 = 5^2 + 8^2 \\\\144 = 25 + 64 \\\\144 \neq 89[/tex]

It did not satisfy the Pythagoras theorem.

Hence the given triangle is not a right triangle.

Answer:

[tex] \frac{1}{12} \times 240 = 20 \: times[/tex]

hi here is the answer, please give brainly I've been helping you

Answer:

Step-by-step explanation:

20 times

Answer:

a=0

Step-by-step explanation:

Factor:

a^7 (35-11)

Set it equal to zero and solve:

a^7=0

a=0

Answer:

m=18/3

Step-by-step explanation:

m=-7-11/-6-(-1)

Answer:

hii

Step-by-step explanation:

sry but it is an incomplete question

don't mind write the class and chapter name and subject name.

okk Gudni8

An antiderivative of a function is also known as integral of function. We are being ask to integrate the following function.

[tex]\int f(x)dx=\int 10x+3dx[/tex]

This function is relatively easy to integrate because its just a sum of terms with various exponents.

[tex]\int 10x+3dx=5x^2+3x+C[/tex]

To check, you can perform derivative on the function you got from antideriving. If it equals to the original function, then antiderivation procedure was done correctly.

[tex]\frac{d}{dx}5x^2+3x+C=10x+3=f(x)[/tex].

Et voilà.

Hope this helps.

Answer:

there would be many diffrent answers

Step-by-step explanation:

provide the full question, i can deduct that there are many ice cream flavors.