Functions p and q are defined by these equations: p(x) = 5x + 30 q(x) = 11x − 24 What is (q − p)(6)? A. -42 B. 42 C. 18 D. -18

Answer:

[tex]a_{n}[/tex] = - 8n + 10

Step-by-step explanation:

there is a common difference between consecutive terms , that is

- 6 - 2 = - 14 - (- 6) = - 22 - (- 14) = - 8

this indicates the sequence is arithmetic with nth term

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

here a₁ = 2 and d = - 8 , then

[tex]a_{n}[/tex] = 2 - 8(n - 1) = 2 - 8n + 8 = - 8n + 10

Answer:

Area: 19.63  Circumference: 5.71

Step-by-step explanation:

Using formulas and all :)

Area formula: pi (r^2)

Circumference: 2(pi)r

pi (2.5^2)= 19.63

2(pi)2.5= 5.71

hope that helps :D

Answer: yes

Step-by-step explanation:

They run side by side together

As a rule, parallel lines will always have the same slope.

However, they need to also have different y-intercepts.

Since these two lines have the same steepness or slope

and they have different y-intercepts, we say they are parallel.

A six-sided number cube is rolled twice the expression 1/6 x 1/6 can be used to find P(5, then3). The correct option is D.

Probability is a measure of how likely an event is to occur. Many events are impossible to predict with absolute certainty.

The probability of rolling a 5 and then a 3 is independent, so we can find the probability by multiplying the probability of rolling a 5 on the first roll by the probability of rolling a 3 on the second roll.

The probability of rolling a 5 on the first roll is 1/6, and the probability of rolling a 3 on the second roll is also 1/6.

Therefore, the expression that can be used to find P(5, then 3) is: B. 1/6 * 1/6

For more details regarding probability, visit:

https://brainly.com/question/30034780

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Your question seems incomplete, the probable complete question is:

A six-sided number cube is rolled twice, which expression can be used to find P(5, then 3).

A. 1/5*1/3

B. 1/6*1/5

C. 5/6*3/6

D. 1/6*1/6

Answer:

100 bags

Step-by-step explanation:

Simply add 30 + 15 + 5 and we get 50

Next divide 50 by the amount of lbs we want 50/0.5 = 100

Answer:

2 rational solutions

Step-by-step explanation:

the degree of the polynomial (the highest exponent of the variable) defines how many solutions there are.

that means for how many values of x the result y is 0 (how many x-axis interceptions there are or should be).

so, a quadratic equation has 2 such solutions.

there are a few different cases how these solutions present themselves :

"normal case" : all the solutions are real (not only rational) numbers, and the curve has that many different x- acid interceptions.

a turn of the curve leads to only "touching" the x-axis : this is just a special case that the curve is "too high" or "too low" and the regular 2 intersects merge into 1. there are formally still 2 solutions, but they are identical.

there can be "S-curves" especially for higher degrees (3 and up) with the center smoothing in with the x-axis : this is similar but can merge even more than 2 solutions into 1.

the curve is really "too high" or "too low" and never even touches the x-axis : then the solutions are irrational.

the general solution for a quadratic equation is

x = (-b ± sqrt(b² - 4ac))/(2a)

the discriminate is (b² - 4ac).

if this is a positive perfect square, then the square root is a perfect integer. in fact, 2 perfect integers (+ and -).

and so we get two solutions with integer/integer and they are therefore 2 rational solutions.

Answer:

-4.775

Step-by-step explanation:

Answer: ( D) 998 is the greatest three digit positive integer

Step-by-step explanation: Your welcome.

Answer:

-6

Step-by-step explanation:

- 9 - 3 + 7 - 1 = - 6

I'm still confused on the answer choices but the expression simplified is equal to -6.

Answer:

-9-3+7-1

Step-by-step explanation:

According to order of operations we do this whole thing from left to right!

Solving we get;  -9 -3 = -12> -12+7= -5> -5-1 = -6

Lol I got the same answer (ಡ艸ಡ)

Answer:

he will have enough money for thirteen people

Step-by-step explanation:

because $15*13 people =$195 . he will have extra $5 dollars to go home

Answer:

Its 70 hope that helped

Step-by-step explanation: I did this before

Answer:

A) Se requiere una tabla con una longitud de 2.213 varas para fabricar la mesa.

B) El lote de José tiene una extensión de 536.481 varas cuadradas.  

Step-by-step explanation:

A) La vara es una unidad de longitud equivalente a 0.836 metros. También sabemos que un cuadrado es una figura geométrica con cuatro lados de igual longitud y cuatro ángulos rectos, de modo que la longitud y ancho de la mesa es igual. Entonces, el largo de la tabla, esto es, la superficie superior de la mesa, tiene una medida de 1.85 metros.

A continuación, realizamos la regla de tres para determinar su equivalente en varas:

[tex]x = 1.85\,m\times\frac{1\,vara}{0.836\,m}[/tex]

[tex]x = 2.213\,varas[/tex]

Se requiere una tabla con una longitud de 2.213 varas para fabricar la mesa.

B) La vara es una unidad de longitud equivalente a 0.836 metros. Una vara cuadrada es una unidad de área y es igual a:

[tex]r = (0.836\,m)\cdot (0.836\,m)[/tex]

[tex]r = 0.699\,m^{2}[/tex]

De manera semejante, tenemos que el área del lote de Jose es un rectángulo y que se calcula como sigue en metros cuadrados:

[tex]A = l\cdot w[/tex] (Eq. 1)

Donde:

[tex]A[/tex] - Área del lote de José, medido en metros cuadrados.

[tex]l[/tex] - Largo del lote de José, medido en metros cuadrados.

[tex]w[/tex] - Ancho del lote de José, medido en metros cuadrados.

Si [tex]l = 25\,m[/tex] y [tex]w = 15\,m[/tex], entonces el área del lote es:

[tex]A = (25\,m)\cdot (15\,m)[/tex]

[tex]A = 375\,m^{2}[/tex]

Por último, hallamos el área en varas cuadradas mediante la siguiente regla de tres:

[tex]x = 375\,m^{2}\times \frac{1\,vara}{0.699\,m^{2}}[/tex]

[tex]x = 536.481\,varas^{2}[/tex]

El lote de José tiene una extensión de 536.481 varas cuadradas.  

Answer:

please mark me the brainlist

Answer:

Step-by-step explanation:

Let's find the LCM of 5 and 6. 5x6 is 30. So 1/5 times 6 to both numerator and denominator is 6/30. 1/6 is slightly different. 30 is 5 times 6. So 1/6 times 5 to both denominator and numerator is 5/30. Since 6/30 and 5/30 does not have a halfway point, let's multiply both by 2. It is 10/60 and 12/60. Midway point is 12+10/2 which is 11/60.

Answer:11/15

1/5+1/6=11/30

11/30 /2=11/15

11/15

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

Answer:

y - 2 = 2(x + 5)

Step-by-step explanation:

Point slope:

    y - y₁ = m(x - x₁)

Given P(-5, 2) and slope m = 2:

  y - 2 = 2(x - (-5))

  y - 2 = 2(x + 5)

Answer:

28

Step-by-step explanation:

probability of getting blue ball is 4/9

total cases = 72

i.e number of blue ball 32

number of red vall is 40

so extra 28 is added

Answer:

Calculating from a Regular Hexagon with a Given Apothem. Write down the formula for finding the area of a hexagon with a given apothem. The formula is simply Area = 1/2 x perimeter x apothem.

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

V=pi radius squared so you need to find what height  is right?

so take 3.14x6 squared=113.04 and then divide 1131 by 113.04 and you will get your answer of 10

Answer:

Each one of them spent $38

Each one of them played 6 games.

Step-by-step explanation:

The number of games be represented by g

Colette went to play miniature golf on Monday, when it cost $14 to rent the club and ball, plus $4 per game.

$14 + $4 × g

= 14 + 4g

Maddie went Thursday, paying $6 per game, plus rental fees of $2.

$2 + $6 × g

= 2 + 6g

The equation is :

14 + 4g = 2 + 6g

We solve for g

Collect like terms

14 - 2 = 6g - 4g

12 = 2g

g = 12/2

g = 6

How many games did each one play?

Each one of them played 6 games.

How much did each one spend?

For Colette

The amount she spent :

14 + 4g

=$14 + 4 × 6

= $14 + 24

= $38

For Maddie

2 + 6g

=$ 2 + 6(6)

=$ 2 + 36

= $38

Answer:

Direct

Step-by-step explanation:

16/4 = 4

100/25 = 4

4 = 4

Answer:

8 km

Step-by-step explanation: giving that

distance=10km

time=75 minutes =75/60 hours

                                15/12=5/4 hours

speed=disance=10km

             time     = 5/4hours

     =40/5km/hours

    =8km/hours

Answer: the answer is 50

Step-by-step explanation: the sum of angles in a quadrilateral is 360 degrees so add 74 And 146 and the angle is a right angle so it is 90 . So add these numbers and subtract from 360 . It will give 50 . Can you give brainliest

Answer:

have a nice day

Step-by-step explanation:

1=red

2=green

3=yellow and blue

4=none

5=no

6=red and green

Answer:

(2,1.5)

Step-by-step explanation:

I think, by looking at the information given on this question, your just looking to see where the lines intersect (which is at 2, 1.5)