What is the value f(4) if f(x)=-4(x+3)-14

Answers

Answer 1

Answer:

f(4)=-42

Step-by-step explanation:

f(x)=-4(x+3)-14

(sub 4 for x in the equation f(x) to find f(4))

f(4)=-4×(4+3)-14

(simplify inside the bracket)

=-4×7-14

(multiply 7 and -4)

=-28-14

(simplify)

=-42


Related Questions

Hi-Tech, Inc., is a computer training company serving metropolitan Toronto, Canada. The firm contracts a group of part-time instructors to teach a variety of courses concurrently at its downtown location. While demand is so high that any class offered will be filled immediately, Hi-Tech is looking at only two courses at this time: Introduction to Computers (ITC) and Creation of Web Pages (CWP). Each ITC class requires 7.5 hours of preparation/instruction time and contributes a profit of $720, whereas each CWP class calls for only 3 hours and contributes $300. Available time for these two courses is limited to 56 hours a day. There is a restriction on the maximum number of trainees that can be efficiently handled. More specifically, at most 100 students can be accommodated on a daily basis without putting a strain on the facility and support staff. Additionally, each course has a class size limit - 6 for ITC and 12 for CWP. Hi-Tech would like to maximize the daily total profit from both courses so that it could offer certain other courses on a "goodwill" basis. Formulate an AILP for management to decide how many classes should be scheduled for each subject daily
What is the objective function?

Answers

Answer:

The  AILP for management to decide  how many classes should be scheduled for each subject daily is

The objective function is mathematically represented as

       [tex]M  =  P_c  *  a  + P_w  *  b[/tex]

=>    [tex]M  = 720  a  + 300  b[/tex]

Now the first constraints to this functions is

     [tex]t_c  *  x  + t_w * y  \le t_a[/tex]

=>  [tex] 7.5  x  + 3 y  \le 56[/tex]

Another constraints to this function is

     [tex]k  x  +  u  y  \le  N[/tex]

=>    [tex]6  x  +  2  y  \le  100[/tex]

Here x and  y are the number of classes    

Step-by-step explanation:

From the question we are told that

   The time required for each ITC class is  [tex]t_c  = 7.5 \ hours[/tex]

   The profit of each ITC class is  [tex]P_c  =  \$ 720[/tex]

   The time require for  CWP  class is  [tex]t_w  =  3 \  hours[/tex]

    The profit for   CWP  class is  [tex]P_w  =  \$ 300[/tex]

   The total time available  is [tex]t_a  =  56 \  hours / day[/tex]

   the maximum number of trainee that can be accommodated in a daily basis is   [tex]N  =  100[/tex]

   The class size limit for  ITC  is  [tex]k  =6[/tex]

    The class size limit for CWP is  [tex]u  =12[/tex]

Generally the aim of Hi-Tech is to maximize profit

So the objective function will be a function that maximizes profit

Generally the objective function is mathematically represented as

       [tex]M  =  P_c  *  a  + P_w  *  b[/tex]

=>    [tex]M  = 720  a  + 300  b[/tex]

Now the constraints to this functions are

     [tex]t_c  *  x  + t_w * y  \le t_a[/tex]

=>  [tex] 7.5  x  + 3 y  \le 56[/tex]

Another constraints to this function is

     [tex]k  x  +  u  y  \le  N[/tex]

=>    [tex]6  x  +  2  y  \le  100[/tex]

Here x and  y are the number of classes

     

   

A food scientist determine the new type of orange is 15.38 mg of vitamin c/oz how much vitamin C is in orange that weighs 6 3/5 oz in your answer as a decimal to the nearest 10th in the box

Answers

Answer:

(Sorry this is a late response) This fraction 6 3/5 would equal 6.6 so 6 3/5=6.6 Then you will do 6.6 times 15.38=101.508 or 101.5

Step-by-step explanation:

You would divide 3 and 5 or 5 and 3 because 3 and 5 equals the fraction 3/5. The dividend is 3 and the 5 is the divisor. The quotient of this is 0.6. So the next step would be to add the 6 from 6 3/5 so this is the whole number so add it in front of 0.6 so it would turn into 6.6. The last step is to multiply the weight of the orange by the mg of vitamin C/oz that is 15.38 so multiply 6.6 by 15.38 this would equal 101.508 so you would just round this to a better answer and that would make it 101.5. I hope this helps :0

find the measure of angle b ​

Answers

It’s 90-37 degrees so the answer would be 53 degrees

Which is not a a equivalent Ratio?
a) 6:15
b) 2 :5
c) 12 : 25
d) 40:100​

Answers

Answer:

A

Step-by-step explanation:

( 3+√3 ) (2+√2) simplify​

Answers

(3+ √3) (2+ √2)

=> 3(2+ √2) + √3 (2+ √2)

=> 6+3√2+2√3+ √6 [Answer]

which value of x is the solution of the equation 2/3x + 1/2 = 5/6?

Answers

Answer:

2

Step-by-step explanation:

2/3(2) + 1/2 = 5/6

If it's 2/3 * X then x is equal to 1/2.

What is the answer for 7/10=z/8 please explain steps

Answers

Answer:

5.6

Step-by-step explanation:

Step 1:

7/10 = z/8       Equation

Step 2:

10z = 56      Multiply

Step 3:

z = 56 ÷ 10     Divide

Answer:

z = 5.6

Hope This Helps :)

How do you do this question?

Answers

Answer:

a) -7/9

b) 16 / (n² + 15n + 56)

c) 1

Step-by-step explanation:

When n = 1, there is only one term in the series, so a₁ = s₁.

a₁ = (1 − 8) / (1 + 8)

a₁ = -7/9

The sum of the first n terms is equal to the sum of the first n−1 terms plus the nth term.

sₙ = sₙ₋₁ + aₙ

(n − 8) / (n + 8) = (n − 1 − 8) / (n − 1 + 8) + aₙ

(n − 8) / (n + 8) = (n − 9) / (n + 7) + aₙ

aₙ = (n − 8) / (n + 8) − (n − 9) / (n + 7)

If you wish, you can simplify by finding the common denominator.

aₙ = [(n − 8) (n + 7) − (n − 9) (n + 8)] / [(n + 8) (n + 7)]

aₙ = [n² − n − 56 − (n² − n − 72)] / (n² + 15n + 56)

aₙ = 16 / (n² + 15n + 56)

The infinite sum is:

∑₁°° aₙ = lim(n→∞) sₙ

∑₁°° aₙ = lim(n→∞) (n − 8) / (n + 8)

∑₁°° aₙ = 1

angle 4 and angle 5 are ??? angles will mark brainiest ​

Answers

Answer:

alternate interior

Step-by-step explanation:

alternate interior angles are congruent if and only lines are parallel.

If the sum of three consecutive numbers is 1998, what is the first one?

Answers

Answer: 665

Step-by-step explanation: X + X + 1 + X + 2 = 1998

3X + 3 = 1998

3X + 3 - 3 = 1998 - 3

3X = 1995

3X/3 = 1995/3

X = 665

What is the radius of a circular swimming pool with a diameter of 2 feet?

Answers

Answer:

1 foot

Step-by-step explanation:

Answer:

it is 1 foot can i have brainly lol

Step-by-step explanation:

Find -5/6 / 1/2. Write in simplest form

Answers

-5/12
you have to multiply -5/6 and 1/2

need help............​

Answers

Answer:

Answer=A

Step-by-step explanation:

(when dividing two powers we subtract the upper power by the bottom one)

[tex]\frac{7^{10} }{7^{3} }[/tex]

=[tex]7^{10-3}[/tex]

[tex]7^{7}[/tex]

If you vertically shift the quadratic parent function, F(x) = x^2, up seven units, what is the equation of the new function? A. G(x) = x^2 - 7. B. G(x) = (x + 7)^2. C. G(x) = 7x^2. D. G(x) = x^2 + 7

Answers

Answer:

D

Step-by-step explanation:

G(x) = x^2 + 7

juss took the test yw

Please help me out thanks

Answers

21212121313233456899876221

11. Mark builds 3 Lego towers. Each tower is made of 5 square layers
which have a width and length of 5 Lego pieces. Suddenly, Mark's little
brother breaks one and runs off with 45 pieces. Use the expression to show
how many pieces Mark is left with.

Answers

Answer:                        

Step-by-step explanation:

Please Help! I will give brainlist whoever answer first!
The household incomes for 10 different households are shown. What is the mean absolute deviation for the group (round to the nearest tenth)?
A) 6.4
B) 12.7
C) 15.2
D) 52.2

Answers

Answer:

d

Step-by-step explanation:

add all together equals 522

522/10 = 52.2

The mean absolute deviation of the data set of 15.2

What is mean absolute deviation?

Mean absolute deviation (MAD) of a data set is the average distance between each data value and the mean.

Mean absolute deviation is a way to describe variation in a data set. Mean absolute deviation helps us get a sense of how "spread out" the values in a data set are.

Given is a data set, we need to find the mean absolute deviation for the group,

So,

The mean = 38+45+76+93+50+54+29+44+62+31 / 10

= 522/10 = 52.2

Now finding the absolute deviation =

|52.2-38| = 14.2

|52.2-45| = 7.2

|52.2-76| = 23.8

|52.2-93| = 40.8

|52.2-50| = 2.2

|52.2-54| = 1.8

|52.2-29| = 23.2

|52.2-44| = 8.2

|52.2-62| = 9.8

|52.2-31| = 21.2

The mean absolute deviation = 14.2 + 7.2 + 23.8 + 40.8 + 2.2 + 1.8 + 23.2 + 8.2 + 9.8 + 21.2 / 10

= 152.4 / 10

= 15.24

≈ 15.2

Hence, the mean absolute deviation of the data set of 15.2

Learn more about mean absolute deviation, click;

https://brainly.com/question/10528201

#SPJ2

What is the slope intercept form for this?
Slope= 2/3 Y intercept= -1

Answers

Answer:

y = 2/3x-1

Step-by-step explanation:

If you have a box of candy that is 8 inches long, 5 inches wide, and 2

inches tall, how much space do you have for candy?

Answers

80 sq cubed you multiply all three numbers to find the valume.

An adult dinner cost 8 a family of 2 adults and children pay 24 for the their dinners

Answers

Answer:

The total cost will be 2 adult ($16), and 4 children ($8)

Martha drove 281.4 miles in 4.2 hours. How fast was she driving?

Answers

Answer:

I think your answer would be 67 mph

Step-by-step explanation:

281.4 / 4.2 = 67

Formula for speed:

d / t = s

The Empire State building is 1250 feet tall maria wants to make a model that has a scale of 1/4 foot equals 50 feet how tall with her model B

Answers

Answer:

6 1/4

Step-by-step explanation:

Jenny has a rectangular poster. The poster is 1.6 meters long and 1.2 meters wide. What is the area of the poster in square centimeters? Do not round your answer.

Answers

Answer:

1.92 m^2

Step-by-step explanation:

1.6 m x 1.2 m

1.92 m^2

Is this correct, you don’t have to look at my work just check to see if it’s correct please and thank you

Answers

Answer:

[tex] y = 4x + 32 [/tex].

Step-by-step explanation:

Here's a solution to the problem.

Given:

Point = (-5, 12)

Slope (m) = 4

Required:

Equation of the line

SOLUTION:

Recall, the equation for slope-intercept form is [tex] y = mx + b [/tex].

We are given slope (m) as 4. We need to find the value of b to derive an equation of the line.

Simply substitute x = -5, y = 12 and m = 4 into [tex] y = mx + b [/tex], and solve for b.

[tex] 12 = 4(-5) + b [/tex]

[tex] 12 = -20 + b [/tex]

Add 20 to both sides

[tex] 12 + 20 = b [/tex]

[tex] 32 = b [/tex]

[tex] b = 32 [/tex]

Next, substitute m = 4 and b = 32 into [tex] y = mx + b [/tex].

[tex] y = 4x + 32 [/tex].

The line of the equation that has a slope of 4, and passes through (-5, 12) is [tex] y = 4x + 32 [/tex].

Obviously, your calculations are wrong. The above is the right way to solve the problem given.

g(x) = -4x – 5
f(x) = -4x - 1
Find g(-6) + f(-6)

Answers

Answer:

19+23

Step-by-step explanation:

Two angles are complementary. One angle is twice as large as the other angle. What is the measure of each angle?​

Answers

Angles that are complementary end up equally 90 degrees. That means 30 degrees is one and 60 is the other because 30*2 = 60
60+30=90

I WILL MARK BRIANLIEST PLEASE HELP!!!

Answers

Answer:

50 degrees

Step-by-step explanation:

Angle ABE is the opposite of the angle given on two converging lines, making it the same degree :)

Factor completely
3x^2 + 7x - 6


Zzz

Answers

Answer:

(3x−2)(x+3)

Step-by-step explanation:

these are ur answers

3x^2+7x-6
3x^2+7(x)-6
3x^2+(-2+9)x-6
3x^2-2x+9x-6
(3x^2-2x)+(9x-6)
x(3x-2)+3(3x-2)
(3x-2)(x+3)

Brainliest please??

A lab technician must screen 175 slides under the microscope each week. If she works 7 hours a day, 5 days a week, how many slides,on average, must she screen in one hour

Answers

Answer:

The lab technician must screen 5 slides per hour

Step-by-step explanation:

If the lab technician works 5 days a week, and 7 hours per day, then she works 5*7 = 35 hours a week.

Given she must screen 175 slides each week, we can calculate on average, the number of slides per hour needed to complete the work.

The average is calculated as:

[tex]\displaystyle average=\frac{\text{total slides}}{\text{total hours}}[/tex]

[tex]\displaystyle average=\frac{175}{35}=5\ slides/hour[/tex]

The lab technician must screen 5 slides per hour

2/5 - 4 (5.4) solve​

Answers

Answer: -106/5= −21.2

Step-by-step explanation:     Adding fractions which have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

2 - (108)/5 = -106/5

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