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Romashka [77]
3 years ago
8

For f(x) = 2x+3 which represents f(x) when x= 6? A.16 B.20 C.28 D.96

Mathematics
1 answer:
yawa3891 [41]3 years ago
7 0

Answer:

15

Step-by-step explanation:

when x=6 plug it in to the equation and you would get 2(6)+3 which is 12+3 which is 15

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Here is a system of equations. (y=x-6 y=-x-2 Graph the system. Then write its solution. Note that you can also answer "No soluti
sladkih [1.3K]

Answer:

Example system with no solution

We're asked to find the number of solutions to this system of equations:

\begin{aligned} y &= -3x+9\\\\ y &= -3x-7 \end{aligned}  

y

y

​  

 

=−3x+9

=−3x−7

​  

 

Without graphing these equations, we can observe that they both have a slope of -3−3minus, 3. This means that the lines must be parallel. And since the yyy-intercepts are different, we know the lines are not on top of each other.

There is no solution to this system of equations.

Example system with infinite solutions

We're asked to find the number of solutions to this system of equations:

\begin{aligned} -6x+4y &= 2\\\\ 3x-2y &= -1 \end{aligned}  

−6x+4y

3x−2y

​  

 

=2

=−1

​  

 

Interestingly, if we multiply the second equation by -2−2minus, 2, we get the first equation:

\begin{aligned} 3x-2y &= -1\\\\ \blueD{-2}(3x-2y)&=\blueD{-2}(-1)\\\\ -6x+4y &= 2 \end{aligned}  

3x−2y

−2(3x−2y)

−6x+4y

​  

 

=−1

=−2(−1)

=2

​  

 

In other words, the equations are equivalent and share the same graph. Any solution that works for one equation will also work for the other equation, so there are infinite solutions to the system.

Step-by-step explanation:

7 0
3 years ago
Determine the surface area of the rectangle prism below
lesya [120]

Answer: the answer is C. 52 square meters

3 0
3 years ago
If we add 9 tens 5 hundreds and 3 ones then the result is?
ioda

Answer:

9 tens = 90

5 hundreds = 500

3 ones = 3

on adding them we get, 500 + 90 + 3 = 593

6 0
1 year ago
Read 2 more answers
The following data give the prices of seven textbooks randomly selected from a university bookstore.
swat32

Answer:

a) Mean = $121

Sum of deviations = $0

b) Standard deviation = 41.19

Variance = 1696.67

Range = $120

Step-by-step explanation:

We are given the following data:

$91 , $176 , $108 , $115 , $56 , $157 , $144

a) Mean and sum of deviations

Mean = \displaystyle\frac{\text{Sum of all observations}}{\text{Total number of observation}}

Mean =\displaystyle\frac{847}{7} = 121

Sum of deviations =

-30 + 55 - 13 - 6 - 65 + 36 + 23 = 0

The sum of deviations is zero dollars.

b) range, variance, and standard deviation

\text{Standard Deviation} = \sqrt{\displaystyle\frac{\sum (x_i -\bar{x})^2}{n-1}}  

where x_i are data points, \bar{x} is the mean and n is the number of observations.

Sum of square of differences =

900 + 3025 + 169 + 36 + 4225 + 1296 + 529 = 10180

\sigma = \sqrt{\dfrac{10180}{6}} = 41.19\\\\\sigma^2 = 1696.67

Sorted data: 56, 91, 108, 115, 144, 157, 176

Range = Maximum - Minimum

Range = 176 - 56 = 120

5 0
3 years ago
What is the value of n In the following<br>100 : 500 = n : 5​
mrs_skeptik [129]

Step-by-step explanation:

ratio means over so,

<u>1</u><u>0</u><u>0</u><u> </u>= <u>n</u>

500 5

<u>5</u><u>0</u><u>0</u>n = 500

500

n=1

6 0
3 years ago
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