The point-slope form of the equation of the line that passes through (-4,-3) and (12, 1) is y-1=1/4(x-12). What is
the standard form of the equation for this line?
x - 4y = 8
O x - 4y=2
4% - y = 8
O 49 - y = 2

Answer:

9 hours and 30 mins

Step-by-step explanation:

Betsy works for about 9 hours 30 minutes daily.

What are mathematics operations?

A mathematical operation is a function that converts a set of zero or more input values (also called "b" or "arguments") into a defined output value. The number of operands determines the operation's arity. Most commonly studied operations are binary operations (i.e., operations of arity 2), such as addition and multiplication, and unary operations (i.e., operations of arity 1), such as additive and multiplicative inverses.

• Zero-arity operations, or nullary operations, are constants, and mixed products are arity three operations, or ternary operations.

Calculating time of Betsy total work for getting paid :

Betsy Working from 6:00 AM to 12:00 PM =  6 hour

Betsy takes an unpaid lunch break from 12:00 PM to 1:00pm = 1 hour

Betsy Working from  1:00 PM to 3:30 PM =  2.5 hour

Now adding-up all the time = 6 + 1 +  2.5 hour = 9.5 hours or 9 hours 30 minutes.

Therefore,  Betsy works for about 9 hours 30 minutes daily.

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c

Step-by-step explanation:

c because if you times 8 into a that equals 10, b =6-3

Sum of three angles in the triangle equals to 180.

70+30+x=180

100+x=180

x=180-100

x=80

Therefore, the answer is 80.

Answer:

f(2)=1

f(2) means that 2 is being plugged in for x so look for the y value when x is 2

in this case y is 1 when x is 2

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

Answer:

El que pesa distinto es aquel que causa un desnivel en la balanza.

Step-by-step explanation:

Sabemos que una balanza tiene dos lados en los cuales podemos poner peso, si la balanza está equilibrada, ambos lados están a la misma altura, de lo contrario, habrá un desnivel entre ambos lados.

Puesto que solo podemos emplear la balanza 3 veces, debemos crear tres grupos de cuatro personas, que dentro de cada una cada mitad, conformada por dos personas, es colocada en un lado de la balanza. Si la balanza está equilibrada, entonces todo ese grupo está integrado por personas del mismo peso, pero si esta desequilibrada, una persona de alguno de los dos subgrupos.

En ese caso, se procede a sacar a dos personas, una por cada lado de la balanza, si el desbalance desaparece, entonces alguna de las dos personas que salió tiene un peso distinto, pero si el desbalance persiste, entonces es causante del desbalance se encuentra en aún en la balanza.

En conclusión, el que pesa distinto es aquel que causa un desnivel en la balanza.

Answer:

x=10

Step-by-step explanation:

(10-4)(10-8) = 12

(6)(2) =12

12 = 12

The required real number that satisfies the given expression is x=10, x= 2.

Given that,
To determined the real numbers x that satisfy the equation (x - 4)(x - 8) = 12

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,

(x - 4)(x - 8) = 12

x²-12x+32=12
x²-12x+20=0
(x - 10)(x -2) = 0

Thus, the required real number that satisfies the given expression is x=10, x= 2.

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Answer:

Step-by-step explanation:

If heily has 3 candies the emily has 6 times more than that = 3 x 6 = 18

And Tom has 8 candies more than heily = 3 + 8 = 11

Total = 3 + 18 + 11 = 32

Answer:

ok

Step-by-step explanation:

Answer: X=-2 or x= 2

Let the marks of Devi be x and Ali be y.

So, the equations:

2y = x and y + 16 = x

So,

2y = y + 16. [ because we know equals are equal to equals]

=> 2y - y = 16

=> y = 16

Check

Ali's marks are half of Devi's marks.

Devi's marks are 16 more than alis.

So, Devi's marks will be 16×2 = 32 and 32 is 16 greater than 16 (16+16=32).

Answer:(-4,-6)

Step-by-step explanation:

Answer:

D. 4 is the non linear area of the graph.

Step-by-step explanation:

Non linear is when there is not a exact increase or decrease, also known as a equal change over time.

Answer: Answer is D

Step-by-step explanation:

A simple way to explain nonlinear is when the line is curvy.

Answer:

the answer is B

Answer:

its b

Step-by-step explanation:

Answer:

2400

Step-by-step explanation:

because 6 percent of 40000 is 2400 please mark brianliest

Use the graph at the right. Find the vertices of the image of QRTW for a dilation with center​ (0,0) and a sca… Get the answers you need, now! ... Find the vertices of the image of QRTW for a dilation with center​ (0,0) and a scale factor of 3. 2 ... Which expression has a value of -16 when p = 16 and q = 2?

sorry just looked it up

Answer:

18.6 months

Step-by-step explanation:

Given that :

Best fit line from scatterplot :

y=-12.05x +224.26

x = Number of month

y = charge on battery

Number of months a typical battery uses before being dead completely :

When battery is dead completely ; charge =0, y = 0

y = -12.05x + 224.26

0 = - 12.05x + 224.26

12.05x = 224.26

x = 224.26 / 12.05

x = 18.610788

Hence, 18.6 months before battery is completely dead.

Answer:

2 time s=two then minus the neighbors kids

Step-by-step explanation:

Answer: See explanation

Step-by-step explanation:

Number of red marbles = 42

Number of blue marbles = 36

Total number of marbles = 42 + 36 = 78

There are 21 odd numbers between 1 - 42.

There are 18 odd numbers between 1 - 36.

(a) Probability that the marble is red will be:

P(red)= 42 / 78 = 7 / 13

(b) Probability that the marble is odd-numbered will be:

= 39 / 78 = 1/2

(c) Probability that the marble is red or odd-numbered will be:

P(red or odd) = P(red) + p(odd) - P(odd and red)

= (42/78) + (39/78) - (21/78)

= 60/78

= 10/13

(d) Probability that the marble is blue or even-numbered.

= P(blue) + P(even) - P(blue and even)

= 36/78 + 39/78 - 18/78

= 57/78

= 19/26

Answer:

7   1/3

Step-by-step explanation:

Lets do this in steps ok? K!

Important!!!: Look what operation is first in order of operation no parentheses or exponents so division and multiplication is first!

Step 1-- 4 x 7=28

Step 2-- 62 divided by 3 = 20      2/3

Step 3-- 28- 20   2/3

Step 4-- 27   3/3 - 20    2/3= 7    1/3

Hope this helps ∞<3

Answer:

[tex]-11.3333333333[/tex] [tex]or[/tex] [tex]-\frac{34}{3}[/tex] [tex]or[/tex] [tex]7\ \frac{1}{3}[/tex]

Step-by-step explanation:

[tex]--------------------------------------------[/tex]

[tex]\frac{4\cdot7-62}{3}[/tex] = [tex]?[/tex]

[tex]4\cdot7[/tex] = [tex]28[/tex]

[tex]\frac{28-62}{3}[/tex] = [tex]?[/tex]

[tex]28-62[/tex] = [tex]-34[/tex]

[tex]\frac{-34}{3}[/tex] = [tex]?[/tex]

[tex]\frac{-34}{3}[/tex] = [tex]-11.3333333333[/tex] = [tex]7\ \frac{1}{3}[/tex]

[tex]--------------------------------------------[/tex]

Hope this helps! <3

[tex]--------------------------------------------[/tex]

Answer:

The average rate will be 2.40 dollars per kg.    

Hence, option D is correct.

Step-by-step explanation:

From the table, it is clear that the order size is located on the x-axis and the price is located on the y-axis.

The price of 100 kg cumin = $450

The price of 600 kg cumin = $1650

so

at x₁ = 100, f(x₁) = 450

at x₂ = 600,  f(x₂) = 1650

Using the formula to determine the average rate of change at which the total cost increases will be:

Average rate = [f(x₂) - f(x₁)] / [ x₂ - x₁]

                      = [1650 - 450] / [600-100]

                      = 1200 / 500

                      = 2.4

Therefore, the average rate will be 2.40 dollars per kg.    

Hence, option D is correct.

Answer:

your answer is that it decreases to 7%

Answer:

28% decrease

Step-by-step explanation:

(18−25)|25|×100

=−725×100

=−0.28×100

=−28%change

=28%decrease

Answer:

= 61000

Step-by-step explanation:

Move the decimal place 4 places to the right

61000

Answer:

61,000

Step-by-step explanation: Ive studied this in middle school

Answer:

joe mama

Step-by-step explanation:

Answer:

Son age be 10

And, the father age be 40

Step-by-step explanation:

The computation of the present ages is shown below:

Let us assume the son age be x

And, the father age be x + 30

Now after five hence, their ages are

Son age = x + 5

And, the father age be = x + 30 + 5

Also the father age is thrice of his son age

So the equation would be

3(x + 5) = x + 35

3x + 15 = x + 35

2x = 20

x = 10

The son age is 10

And, the father age is = 10 + 30 = 40

The correct ans is Five,

Let the son’s present age be x years.

Then the father’s present age is (x+30) years.

Father’s age after 5 years =(x+40) years

Son’s age after 5 years = (x+5) years

(x+40) = 3[x + 5]

x + 40 = 3x + 15

2x = 10

∴ x = 5

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Answer:

$234

Step-by-step explanation:

Answer:

b

Step-by-step explanation: