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svet-max [94.6K]
3 years ago
8

Find the value of f(3) for the function. f(x) = -6(x+2)

Mathematics
2 answers:
gizmo_the_mogwai [7]3 years ago
6 0

Answer:

f(3) = -30

Step-by-step explanation:

Function

f(x) = -6(x + 2)

f(3)

Find the value

______________

The original function is -6(x + 2), but the function is saying what if f(3), which means that all x's in the function will be replaced with 3. Do as followed :

f(3) = -6(3 + 2)

Distribute :

f(3) = -18 - 12

-18 - 12

-30

Therefore, f(3) = -30

ludmilkaskok [199]3 years ago
4 0

Answer:

f(3)=-30

Step-by-step explanation:

f(3)=-6(x+2)

f(3)=-6(3+2)

f(3)=-6(5)

f(3)=-30

if x is 3, f(3) is -30

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A cone has A height of 10.3 inches in the diameter of 6 inches what is the volume of the cone
ahrayia [7]

Answer:

V=97.08

Step-by-step explanation:

The formula for the volume of a cone is V= 1/3 pi (r)^2 (h)

To find the radius divide the diameter by 2. 6/2=3

Plugin: V=1/3 pi(3)^2(10.3)=97.08

3 0
3 years ago
Sharon is decreasing the size of a diagram of a leaf that is 30 centimeters long by 10 centimeters wide. If the reduced diagram
ivanzaharov [21]
10 : 30
4: x [x is the length]
10/4=2.5
30/2.5=x=12
length of the diagram is 12cm

5 0
3 years ago
Mrs. Jackson put a total of $10,000 into two accounts one account earns 6% simple annual interest the other account earns 6.5% s
kozerog [31]

Answer:

The money invested in account at 6 % rate is $ 9230.77

The money invested in account at 6.5 % rate is $ 769.23

Step-by-step explanation:

Given as :

The total amount saves in two account = $ 10,000

The two rate of interest are 6 % and 6.5 % at simple interest

The interest earn at 6 % rate = $ 632

The interest earn at 6.5 % ate = $ 50

Now, Let The amount deposit at 6 % rate = $ x

And The amount deposit at 6.5 % rate = $ 10,000 - $ x

<u>From Simple Interest method</u>

Simple Interest = \dfrac{\textrm principal \times \textrm Rate\times \textrm time}{100}

or, At 6.5 % rate

$ 50 =  \dfrac{\textrm (10,000 - x ) \times \textrm 6.5\times \textrm 1}{100}

or, 10000 - x =  \frac{5000}{6.5}

Or, 10000 - x = 769.23

∴  x = 10000 - 769.23

I.e x = $ 9230.77

So , At 6.5 % the amount deposit = 10,000 - 9230.77 = $ 769.23

So, At 6 % The amount deposit  = $ 9230.77

Hence The money invested in account at 6 % rate is $ 9230.77

And  The money invested in account at 6.5 % rate is $ 769.23 Answer

7 0
3 years ago
Find the 7th term of the sequence 1,5/4,25/16
lutik1710 [3]

9514 1404 393

Answer:

  15625/4096

Step-by-step explanation:

The sequence is geometric with first term 1 and common ratio 5/4. The general term is ...

  an = a1·r^(n-1)

  an = 1·(5/4)^(n-1)

Then the 7th term is ...

  a7 = (5/4)^(7-1) = 15625/4096

7 0
3 years ago
Which equation of the least squares regression line most closely matches the data set?
Rudiy27

Answer: y = 3.5 x+ 43.8

Step-by-step explanation:

Here x represents the number of years after 1990

Thus, we get the table that is used to find the equation will be,

x             0                  2                4               6                8

y             45                51               57            61               75

Let the equation that shows the above data,

y = b + a x ---------(1)

\text{Where, }a=\frac{\sum y \sum x^2-\sum x \sum xy}{n(\sum x^2)-(\sum x)^2}

\text{And, }b = \frac{\sum xy - \sum x\sum y}{n\sum x^2 - (\sum x)^2}

By the above table,

\sum x = 20

\sum xy = 1296

\sum x^2 = 120

\sum y = 289

By substituting these values in the above value of a and b,

We get b = 43.8 and a = 3.5

Substitute this value in equation (1)

we get, the equation that shows the given data is,

y = 3.5 x + 43.8

⇒ Option (3) is correct.

4 0
3 years ago
Read 2 more answers
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