For what values of b is the expression x2 + bx + 12 factorable?

Answer:

Q4) 256 roses

Q5) 40 hamburgers

Q6) 60 professors and 168 lecturers

Q7) 20 percussionist on the sideline

Step-by-step explanation:

Q4) First to set up a proportion you simply have to write a letter to represent the missing number. In this case we'll be using x. So it'll look something like these:

I) 160:5 = x:8 (using colon) or

II) 160/5 = x/8 (as two equal fractions)

You can use one of the two above.

I used the fractions here to solve the question.

After setting up the proportion, your going to cross multiply to get the value of x so its going to look like this:

160×8 = 5×x

1280 = 5x

5x = 1280

Now you have to divide on both sides to isolate x.

5x÷5 = 1280÷5

x = 256

Therefore your answer is 256 roses.

Q5) Use the same method in Q4.

Q6) This is where the proportion using colon comes in. It should look like this 5:14. 5 representing the professors and 14 the lecturers. Now it said that the total number of faculty members is 228.

First thing your going to do is add the proportion together. So basically 5+14=19.

After acquiring this your going to use the sum to divide the total number of faculty members which is 228. So 228÷19=12.

And finally you now have to multiply both sides of the proportion by 12. Therefore 5×12:14×12

60:168

To make sure the answer is right add the proportions of the working above which will give you the total number of faculty members. 60+168=228.

Your final answer: There are 60 professors and 168 lecturers.

Q7) Use the same method done in Q6.

I gave the answers to questions 5 and 7 because I wanted to give you the opportunity to try out the working outs yourself for a better understanding on your part and see if you can get the same answers as me. Anyway hope this helped.

Answer:

change 2.5min into hours then to find speed take distance over time getting 1/24 as the answer

Answer:

15

Step-by-step explanation:

140x(3/4)=105 went to sport club

105x(1/7)=15 went to sport club and art club

Answer:

If a debtor wasn't able to pay his/her debt off they would be forced to become an indentured servant and work there debt off.

For English Catholics, who were discriminated at the time. They settled in the colony of Maryland to escape persecution under the hands of Anglicans.

Answer:

60.28.

Step-by-step explanation:

We need the sine function because we are given the opposite side and  we need the hypotenuse.

sin 71 = 57 / x

Cross multiply

x * sin 71 = 57

x = 57 / sin 71

= 60.28.

Answer:

Answer:

77=c=8

Step-by-step explanation:

Collinear points are points that lie on the same line.

The postulate to prove that A and B are collinear is: (a) Through any two points, there is exactly one line.

From the question, we understand that:

For A and B to be collinear, then:

A line must pass through A and B, in such a way that points A and B lie on that line

Because only one line can pass through any two points, the appropriate postulate to use is: (a) Through any two points, there is exactly one line.

Read more about collinear points at:

https://brainly.com/question/1593959

Answer:

I do not understand she question do you mean the sum of their income is 2640

if so, then the answer is 440 to be x income

Step-by-step explanation:

x income = 20% or 1/5 of y income

y income = 5 of x income

we know that the sum of their income = 2640

which means that

x + y = 2640 =

1/5y + y = 2640

6y/5 = 2640

cross multiply to give us

6y = 5(2640)

6y = 13200

divide through by 6 to give us,

6y/6 = 13200/6

y = 2200

since we know that x income is 20% y income,

therefore, x income =

20/100 * 2200

= 440

therefore,

x income = 440

y income = 2200

Answer:

Step-by-step explanation:

The equations to reflect the given:

Substitute the value of x into first equation and solve for y:

Find x:

Answer:

-4.35

Step-by-step explanation:

3/8 X -4.5

3/8 (0.4) - 4.5

0.15 - 4.5

= -4.35

Answer:

-4.35

Step-by-step explanation:

You multiply three eights times .4 which gives you .15, then you subtract that from 4.5 which gives you 4.35

Answer:

3) = C (0.505)

4) = B (4.32 kilograms)

Step-by-step explanation:

0.505 is in-between 0.482 and 0.51

1.08 X 4 = 4.32

Answer:

3. C. 0.505 gram

4. B. 4.32 kilograms

Queremos obtener la pendiente de dos lineas dadas, y en base a eso, determinar si son paralelas o no.

Las pendientes son para ambas lineas igual a -3/4, como ambas lineas tienen la misma pendiente y diferente ordenada al origen, podemos concluir que son paralelas.

-----------------------------

Una línea en general se escribe como:

y = a*x + b

Donde a es la pendiente y b es la ordenada al origen.

En este problema se nos dan las líneas:

3*x + 4*y - 2 = 0

3*x + 4*y + 6 = 0

Comencemos por reescribir esas líneas en la forma más general, para hacer esto, debemos aislar y en ambas ecuaciones:

y = (-3/4)*x + 2/4

y = (-3/4) - (6/4)

Aqui podemos ver que ambas pendientes son iguales a -3/4

Al final de la respuesta puedes ver el gráfico de ambas líneas.

Como ambas líneas tienen la misma pendiente, pero distintas ordenadas al origen, podemos concluir que son paralelas.

Esto mismo se puede observar en el gráfico de abajo.

Sí quieres aprender más, puedes leer:

https://brainly.com/question/19928130

When dilating a curved figure, you have to make sure to use a lot of points to produce a decent image of the original figure. You also have to make sure that the points you choose are not all concentrated in just one part of the figure.

Answer:

a. 18

b. 45

Step-by-step explanation:

The question states that 2/5 of the class are girls which means 3/5 are boys:

[tex]\frac{3}{5} = 27[/tex]

Divide this value by 3 to get the value of [tex]\frac{1}{5}[/tex]:

27 ÷ 3 = 9

Multiply this by 5 to find [tex]\frac{5}{5}[/tex], the total pupils in the class:

9 x 5 = 45

As the number of girls is [tex]\frac{2}{5}[/tex] of the total pupils:

9 x 2 = 18

So there are 18 girls in the class which has a total pupil size of 45.

Hope this helps!

Step-by-step explanation:

according to question of ⅖ are girls than ⅗ are boys

so let the number of girls be x

so,

→ ⅗ of x = 27

→ x = 27 × 5/3 = 9×5 = 45

→ x = 45

a ) 45 - 27 = 18

than no. of girls is 18.

b) thier are 45 students in total.

hope this answer helps you dear...take care and may u have a great day ahead!

Answer:

watching game= 3 hours

practicing free throw= 2 hours

lifting weight=1 hour

Answer:

x = -66

Step-by-step explanation:

x-4 = -10 * 7

x - 4 = -70

x = -70 + 4

x = -66

Feel free to mark this as brainliest! :D

Answer:

96% del 100 %

Step-by-step explanation:

de nada papu

Step-by-step explanation:

293000

Answer:

normal form

Step-by-step explanation:

We want to find a proportional relationship between the number of pilots and aircraft, and use that to find the number of aircrafts for a given number of pilots.

We can expect to have 94 aircrafts if there are 250 pilots.

Let's see how to get that.

We start by defining what a proportional relationship is.

A proportional relationship between two variables x and y can be written as:

y = k*x

Where k is the constant of proportionality.

Here we do know that there are 40 pilots for every 15 aircrafts, then we can replace these values in the general proportional equation, where x will be the number of aircrafts and y the number of pilots.

40 = k*15

40/15 = k

Now we know the proportional relationship:

y = (40/15)*x

Now to find the number of aircrafts given that we have 250 pilots, we just need to replace the number of pilots by 250 and solve for x:

250 = (40/15)*x

250*(15/40) = x = 93.75

We can round this to the next whole number, 94.

So we can expect to have 94 aircrafts if there are 250 pilots.

If you want to learn more, you can read:

https://brainly.com/question/13114933

Answer:

a) (x - 1) (x + 4)

b) (x + 1) (x - 3)

c) (x - 2) (x + 4)