N entry level technical writer's annual pay is $55,068 based on 52 weeks per year. Due to the economy, his company is having to cut back on the number of weeks that it employs its technical writers. If the firm cuts the work year to 51 weeks but keeps the same rate of pay, how much should the technical writer expect his annual pay to decrease? Round your answer to the nearest dollar.

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Answer:

  translate <-6, 0>, reflect over x

Step-by-step explanation:

Point D is at the top in the pre-image and at the bottom in the image, so a vertical reflection is indicated. Only the 1st and 3rd choices show a reflection over the x-axis.

The image is to the left of the pre-image by 6 units, so the translation is in the negative direction. Only the 3rd choice has that.

The factor x + 1 is a factor of the trinomial expression 5x^2 + 20x + 15

The expression is given as:

5x^2 + 20x + 15

Factor out 5 from the expression

5(x^2 + 4x + 3)

Expand

5(x^2 + x + 3x + 3)

Factorize the expression

5(x(x + 1) + 3(x + 1))

Factor out x + 1

5(x + 3)(x + 1)

The factors of the above expressions are 5, x + 3 and x + 1

Hence, x + 1 is a factor of the trinomial expression 5x^2 + 20x + 15

Read more about binomial expressions at:

https://brainly.com/question/13602562

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Answer:

Step-by-step explanation:

The function has a positive leading coefficient (1/3) and is of odd degree (3). These conditions mean the sign of the end behavior of the function will match the sign of x.

  x → ∞, m(x) → ∞

  x → -∞, m(x) → -∞

Answer:

Minimum = 55 F

Maximum = 71 F

Step-by-step explanation:

The temperature is changing by 8 degrees either up or down.

Because you don't know which way it is changing, you add and subtract to find the maximum and minimum, respectively.

63 + 8 = 71. Add for maximum.

63 - 8 = 55. Subtract for minimum.

63 min. 8 max. ?

answer

Answer:

En síntesis, se requiere utilizar cajas con capacidad para 28 memorias. Al no mezclarse los colores, requerimos utilizar 3 cajas para las memorias rojas, 7 cajas para las memorias azules y 9 cajas para las memorias verdes.

Step-by-step explanation:

La cantidad de cajas es igual a la cantidad de memorias dividida por la capacidad de una caja. Al indicarse que las memorias serán guardadas en cajas de igual capacidad, sin mezclar los colores y con el mayor número posible de artículos, podemos utilizar el concepto de máximo común divisor, cuyo procedimiento mostramos a continuación:

(i) Realizamos la descomposición factorial de cada número:

Memorias rojas:

[tex]84 = 2\times 2 \times 3\times 7[/tex]

Memorias azules:

[tex]196 = 2\times 2\times 7\times 7[/tex]

Memorias verdes:

[tex]252 = 2\times 2\times 3 \times 3 \times 7[/tex]

(ii) Hallamos los números primos en común que tiene cada colección de memorias:

[tex]S=\{2,2,7\}[/tex]

(iii) Calculamos el máximo común divisor al multiplicar los elementos del conjunto S:

[tex]M.C.D. = 2\times 2\times 7[/tex]

[tex]M.C.D. = 28[/tex]

Esto quiere decir que cada caja debe llevar 28 memorias del mismo color. Finalmente, calculamos la cantidad requerida de cajas para cada memoria.

Memorias rojas:

[tex]n_{R} = \frac{84}{28}[/tex]

[tex]n_{R}= 3[/tex]

Memorias azules:

[tex]n_{A} = \frac{196}{28}[/tex]

[tex]n_{A} = 7[/tex]

Memorias verdes:

[tex]n_{V} = \frac{252}{28}[/tex]

[tex]n_{V} = 9[/tex]

En síntesis, se requiere utilizar cajas con capacidad para 28 memorias. Al no mezclarse los colores, requerimos utilizar 3 cajas para las memorias rojas, 7 cajas para las memorias azules y 9 cajas para las memorias verdes.

the distance between 0 and −9

the absolute value of negative 9

the opposite of 9

the absolute value of 9

Answer:

c. -4a + 22b

Step-by-step explanation:

Answer:

c. -4a + 22b

Step-by-step explanation:

Answer:

y = 1/2x - 3

Step-by-step explanation:

Slope: Up 1 over 2

Y-Int: -3

y=mx+b

Answer:

A

Step-by-step explanation:

Answer:

14 i think

Step-by-step explanation:

Answer:

2/3 goes into 28/3 14 times.

Step-by-step explanation:

Multiply 2 by 14, and you will get 28. That shows you that 2/3 goes into 28/3 14 times.

Answer:

C.

Step-by-step explanation:

(-90) + (-20) + 100 = -10

Hope I Helped! :)

Answer:

The solution is C. -10

Step-by-step explanation:

Before entering the solution, remember the formula first!

Addition

• (-) + (-) = (-)

• (+) + (+) = (+)

Subtraction

• (+) - (+) = can (-) and (+)

• (+) - (-) = (+)

Multiplication

• (-) x (-) = (+)

• (+) x (-) = (-)

Division

• (-) : (-) = (+)

• (+) : (-) = (-)

Solution:

(-90) + (-20) + 100

= -90 - 20 + 100

= -110 + 100

= -10 (the minus number is greater than the positive, then the result is minus)

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Answer:

  B. $1.45 + $0.55x ≤ $35; x ≤ 61 miles

Step-by-step explanation:

The mileage charge for x miles will be $0.55x, so the total charge will be $1.45+$0.55x. This must be less than or equal to $35 for Ariel to be able to pay for her travel. The appropriate inequality is ...

  $1.45 +$0.55x ≤ $35 . . . . . matches choice B

__

Comment on selecting an answer

From a "reasonableness" point of view, any answer choice with "≥ $35" can be eliminated immediately. Further, any answer choice with $1.45x can be eliminated, since the mileage charge is not $1.45, it is $0.55. The leaves only the choice shown above.

Answer:

x=1

Step-by-step explanation:

-x+4=3x

4=4x

x=1

Answer:

Hello!!! Princess Sakura here ^^

Step-by-step explanation:

So first you have to plug in what you know...

[tex]3x+y>3\\3(\frac{3}{4})+(0)>3\\\frac{9}{4}+0>3\\\frac{9}{4} >3[/tex]

If it's hard to look at it that way you should make it look like this...

[tex]2\frac{1}{4} >3[/tex]

Now when you look at it you can tell that it's false, so [tex](\frac{3}{4},0 )[/tex] is not a solution f this inequality.

Answer: x = 9

We know that 26 and 17 are in a fact family.

Let's see the fact family.

26 - 17 = 9.

So, the answer is 9.

Hope this helps you!

Answer:

x = 9

Step-by-step explanation:

-x = 17 - 26                       Take the numbers to one side and leave the letters                                                       on the other side

-x = -9                                    Subtract the numbers

x = 9                       since the x and the 9 are negative they become positive

                              (two negatives equals a positive only when multiplying or

                               dividing and in this case you are dividing the -1x to both

                               sides)

Answer:

$8.75

Step-by-step explanation:

Divide $43.75 by 5 to get the cost of ONE movie ticket like so:

$43.75 / 5 movie tickets = $8.75 per ticket.

Therefore, ONE ticket costs $8.75.

Answer:

It is irattional because the number keeps changing

Step-by-step explanation:

Answer:

my guess is irrational

Step-by-step explanation:

A rational number is a number that can be express as the ratio of two integers. A number that cannot be expressed that way is irrational. For example, one third in decimal form is 0.33333333333333 (the threes go on forever).

Answer:

y= -7/9 x+70

Step-by-step explanation:

28x+36y=2520

36y=-28x+2520

y= -7/9 x+70

Answer:

(-3,13) (-2,10) (-1,7) (0,4) (1,1) (2,-2) (3,5) (4,8)  are your graph points.

Step-by-step explanation:

Okay so to find the points, you have to create a table graph with a set of x values.

in this case, your equation y=-3x+4 the x can be replace with a set of numbers and these will be your plots.

-3(-3)+4= 13

-3(-2)+4= 10

-3(-1)+4= 7

-3(0)+4= 4

-3(1)+4= 1

-3(2)+4= -2

-3(3)+4= -5

-3(4)+4= -8

Naturally with these points a shape will form ideally a straight line. Hopefully this helps and good luck!

Answer:

4 slices because 6-2=4

Step-by-step explanation:

pls make me brainliest

Answer:

RIP AND TEAR NEW HORIZON

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

204.79

Step-by-step explanation:

Answer:

671.25

Step-by-step explanation:

Answer:

32 degrees

Step-by-step explanation:

90 + 58 = 148

180 - 148 = 32

Answer:

137.5

Step-by-step explanation:

330/12=27.5 miles per gallon of gasoline so 5 times 27.5 you get 137.5 miles.

Answer:

Answer is D

Step-by-step explanation:

Answer:

y = 100° , x = 80°

Step-by-step explanation:

Two angles on a straight line equal 180°. Therefore, 80° + y = 180°. This means y = 100°.

80° and x are alternate exterior angles. Using that property, we know those angles are congruent. This means x is also 80°.