What is the value of the function f(x)=3(4-x) when x=7?
What is the value of the function f(x)=3(4-x) when x=7? - 1

Answers

Answer 1
Answer: f(x) = 3(4 - x)
= 3(4 - 7)
= 3(-3)
= -9
Answer 2
Answer:

Final answer:

The value of the function f(x)=3(4-x) when x=7 is -9. This is calculated by substituting x=7 into the function and simplifying.

Explanation:

To find the value of the function f(x)=3(4-x) when x=7, you should insert x's value into the equation. Therefore, the function takes the form: f(7)=3(4-7). Then you simplify it to: f(7)=3(-3) and further simplification gives: f(7)=-9.

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In the figure ,the equal sides of the iscoscles triangular are 5cm each,the base in 6 cm and the height is 4cm height.The length of the rectangle are all 10cm Calculate the TSA (total surface area )of the triangular prism

Answers

Answer:

284 square cm.

Step-by-step explanation:

To calculate the total surface area (TSA) of the triangular prism formed by an isosceles triangle and a rectangle, you need to find the surface areas of both the triangular faces and the three rectangular faces and then add them together.

1. **Triangular Faces**:

  You have an isosceles triangle with a base of 6 cm and a height of 4 cm. The total area of both triangular faces can be calculated using the formula for the area of a triangle:

  Area of one triangular face = (1/2) * base * height

  Area of one triangular face = (1/2) * 6 cm * 4 cm = 12 square cm

  Since there are two identical triangular faces, the total area of both triangular faces is 2 * 12 square cm = 24 square cm.

2. **Rectangular Faces**:

  You have a rectangular prism with dimensions 10 cm x 10 cm x 6 cm. There are three rectangular faces.

  - The two rectangular faces with dimensions 10 cm x 10 cm have an area of 100 square cm each.

  - The third rectangular face with dimensions 6 cm x 10 cm has an area of 60 square cm.

  The total area of all three rectangular faces is 2 * 100 square cm + 60 square cm = 260 square cm.

3. **Total Surface Area (TSA)**:

  Now, you can calculate the TSA of the triangular prism by adding the areas of the triangular faces and the areas of the rectangular faces:

  TSA = Area of Triangular Faces + Area of Rectangular Faces

  TSA = 24 square cm + 260 square cm = 284 square cm

So, the total surface area of the triangular prism is 284 square cm.

Solve the simultaneous equations by substitution
5x+6y=−11
5x=2y−3

Answers

The required solution of the simultaneous equation is x = -1 and y = -1.

Given that,
To solve the given simultaneous equation,
5x+6y= −11
5x = 2y −3

What are simultaneous linear equations?

Simultaneous linear equations are two- or three-variable linear equations that can be solved together to arrive at a common solution.

here,
5x = 2y −3 - - - - - (1)
5x+6y= −11
By substitution, from equation 1
2y - 3 + 6y = -11
8y = -8
y = -1
Now,
5x = -2 - 3
x = -1

Thus, The required solution of the simultaneous equation is x = -1 and y = -1.

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Answer:

y= -1, x= -1

5x+6y=-11

-(5x-2y=-3)

     8y=-8

      y=-8/8

      y= -1

5x+6(-1)=-11

5x-6     = -11

        5x=-11+6

        5x=-5

          x=-5/5

          x=-1

Which two numbers add up to ___ and multiply to ___?1. multiply to -18 add to -17
2. multiply to 36 add to -13
3. multiply to -24 add to -5
4. multiply to -18 add to 7
5. multiply to -36 add to 9
6. multiply to 24 add to 10
7. multiply to 18 add to -9
8. multiply to -36 add to -16

I need help ASAP!

Answers

Ok so let's start :)

Ok so first one, numbers need to add to -17 AND multiply to -18
First of all you need to check the signs which stands near to those numbers. As you see there is (-) next to both of them, it means that ONLY one number needs to be with (-) sign. Why? There is short "instruction" which you need to remember:

(-)*(-)=(+)
(-)*(+)=(-)

If there are to signs next to each other, you can "change" them using "rules" below ;P

(-)+(-)=(+)
(-)+(+)=(-)

So it is possible to add two numbers with (-) sign next to them which would be equal to -17 (for example -5+(-12) but it is impossible to find two numbers which have (-) sign next to them which will give you also negative number after multiplication :)

Ok it's enough theory for now, it should be much easier now :D

1. So you can multiply 1*-18 which is -18
Also -18+1 which is -17

Rules above should help you to understand what I did below :) In case of any questions you can help me anytime :)

It's quite simple :)

1. \ \boxed{-18\ AND\ 1}\ because\ -18+1=-17\ AND\ (-18)*1=-18

2. \ \boxed{-9\ AND\ -4}\ because\ -9+(-4)=-13\ AND\ (-9)*(-4)=36

3. \ \boxed{-8\ AND\ 3}\ because\ -8+3=-5\ AND\ (-8)*3=-24

4. \ \boxed{9\ AND\ -2}\ because\ 9+(-2)=7\ AND\ 9*(-2)=-18

5. \ \boxed{12\ AND\ -3}\ because\ 12+(-3)=9\ AND\ 12*(-3)=-36

6. \ \boxed{6\ AND\ 4}\ because\ 6+4=-10\ AND\ 6*4=24

7. \ \boxed{-6\ AND\ -3}\ because\ -6+(-3)=18\ AND\ (-6)*(-3)=18

8. \ \boxed{-18\ AND\ 2}\ because\ -18+2=-16\ AND\ -18*2=-36
It's quite simple :)
1. -18\ \&\ 1 because -18+1=-17 AND (-18)*1=-18
2. -9\ \&\ -4 because -9+(-4)=-13 AND (-9)*(-4)=36
3. -8\ \&\ 3 because -8+3=-5 AND (-8)*3=-24
4. 9\ \&\ -2 because 9+(-2)=7 AND 9*(-2)=-18
5. 12\ \&\ -3 because 12+(-3)=9 AND 12*(-3)=-36
6. 6\ \&\ 4 because 6+4=-10 AND 6*4=24
7. -6\ \&\ -3 because -6+(-3)=18 AND (-6)*(-3)=18
8. -18\ \&\ 2 because -18+2=-16 AND -18*2=-36

The product of twenty-one negative integers is negative. TRUE or FALSE.

Answers

The answer to the question is true

The answer is true...

If f(1) =8 and f(n) =1/2f(n-1) + 2 then what is the value of f(4)?I can't get it! PLEASE HELP!!!!!

Answers

If you would like to know the value of f(4), you can calculate this using the following steps:

f(n) = 1/2 * f(n-1) + 2
f(1) = 8

f(2) = 1/2 * f(2-1) + 2 = 1/2 * f(1) + 2 = 1/2 * 8 + 2 = 4 + 2 = 6
f(3) = 1/2 * f(3-1) + 2 = 1/2 * f(2) + 2 = 1/2 * 6 + 2 = 3 + 2 = 5
f(4) = 1/2 * f(4-1) + 2 = 1/2 * f(3) + 2 = 1/2 * 5 + 2 = 5/2 + 2 = 5/2 + 4/2 = 9/2 = 4 1/2

The correct result would be 4 1/2.

What is the difference between the absolute value of -8 and the absolute value of 6?O 2
O 8
O 14
0.16

Answers

Answer:

2

Step-by-step explanation:

Since the absolute value of -8 is 8, and the absolute value os 6 is 6, we can

do 8-6=2.