All categories

3 years ago

Evaluate the given equation for the indicated function values. pls help

Mathematics

1 answer:

Xelga [282]3 years ago

8 0

Answer:

The answer in each numeral is:

f(4) = 28
f(10) = -19
f(-5) = -33
f(9) = -9

Step-by-step explanation:

To obtain the result in each case, you must replace the variable (n) by the value that appears in the second case, I'll explain it with the first exercise:

1. f(n) = 5n + 8
f(4) = ?

As you can see, in the second doesn't appear f(n), but f(4), that means you must replace the "n" in the equation by 4, if we do this, we obtain:

1. f(4) = 5*(4) + 8
f(4) = 20 + 8
f(4) = 28

The first answer is 28, now we'll continue with the next exercises:

2. f(n) = -2n + 1
f(10) = -2*(10) + 1
f(10) = -20 + 1
f(10) = -19

3. f(n) = 6n - 3
f(-5) = 6*(-5) - 3
f(-5) = -30 - 3
f(-5) = -33

4. f(n) = -n
f(9) = -9

In this form, you can prove the answers are: 28, -19, -33, and -9 respectively.

You might be interested in

Prove that the triangle EDF is isosceles. Give reasons for your answer.

Gekata [30.6K]

Answer:

$\triangle EDF$ is isosceles.

Step-by-step explanation:

Please have a look at the attached figure.

We are given the following things:

$\angle EDF = y$

$\text{External }\angle DFG = 90 +\dfrac{y}{2}$

Let us try to find out $\angle E$ and $\angle DFE$ . After that we will compare them.

Finding  $\angle DFE$ :

Side EG is a straight line so $\angle GFE = 180$

$\angle GFE$ is sum of internal $\angle DFE$ and external $\angle DFG$

$\angle GFE = 180 = \angle DFE + \angle DFG\\\Rightarrow 180 = \angle DFE + (90+\dfrac{y}{2})\\\Rightarrow \angle DFE = 180 - 90 - \dfrac{y}{2}\\\Rightarrow \angle DFE = 90 - \dfrac{y}{2} ....... (1)$

Finding  $\angle E$ :

Property of external angle: External angle in a triangle is equal to the sum of two opposite internal angles of a triangle.

i.e. external $\angle DFG$ = $\angle E + \angle EDF$

$\Rightarrow 90+\dfrac{y}{2} = \angle E + y\\\Rightarrow \angle E = 90+\dfrac{y}{2} -y\\\Rightarrow \angle E = 90-\dfrac{y}{2} ....... (2)$

Comparing equations (1) and (2):

It can be clearly seen that:

$\angle DFE = \angle E =90-\dfrac{y}{2}$

The two angles of $\triangle EDF$ are equal hence $\triangle EDF$ is isosceles.

8 0

3 years ago

The percentage 21 is of 28 is equal to the percentage 30 is of 40 True? or false?

katovenus [111]

Answer:

False

Step-by-step explanation:

75%

28 5.88

21 x 28

100

= 5.88

x 100% = 75%33.3333333333%

28 - 21

x 100% = 33.3333333333%

5 0

3 years ago

Help!!!!! with this please

stealth61 [152]

Answer:

y+mx+b

Step-by-step explanation:

4 0

3 years ago

Please answer Quickly

Mashcka [7]

The answer is 21

By comparing the 4 vertices you can determine the rectangle x-length and y-length. The coordinate for the vertice is:
1,+4i
-2, +4i
-2, -3i
1, -3i

From the coordinate, you can see there are 2 x coordinate(1 and -2) and 2 y coordinate(4i and -3i) that used.
The x-length would be: 1 - (-2)= 3
The y-length would be: 4i- (-3i)= 7i

Then the area of the rectangle would be:
area= x-length * y-length= 3*7=21

8 0

3 years ago

I really need help!!!

Ksenya-84 [330]

Answer(-2:23)

Step-by-step explanation:gose in a pattern.

8 0

3 years ago