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zvonat [6]
3 years ago
11

What is the range of the relation y = 3x2 + 4x if the domain is the set (-1,0, 1)?

Mathematics
1 answer:
kicyunya [14]3 years ago
7 0

Answer:

{ - 1, 0, 7 }

Step-by-step explanation:

Substitute the values of x from the domain into the relation to obtain the corresponding values of y , that is the range

x = - 1 : y = 3(- 1)² + 4(- 1) = 3(1) - 4 = 3 - 4 = - 1

x = 0 ; y = 3(0)² + 4(0) = 0 + 0 = 0

x = 1 : y = 3(1)² + 4(1) = 3 + 4 = 7

range is { - 1, 0, 7 }

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Латна монтаж на работа
Bezzdna [24]

Answer:

$183.75

Step-by-step explanation:

divide by 12 (hours)

147/12=12.25

multiply by 15 (hours)

12.25*15=183.75

Hope this helps! :)

4 0
3 years ago
Temperature transducers of a certain type are shipped in batches of 50. A sample of 60 batches was selected, and the number of t
Contact [7]

Answer:

The number of six non conforming transducers at most =54/60=0.9

The number of fewer than six non conforming transducers =51/60=0.85

The number of at least six non conforming transducers at most =30/60=0.5

d) The center of the histogram is around 2 or 3 and it shows that there is some positive skewness in the data

Step-by-step explanation:

Relative Frequency Frequency       x

6/60=0.1                            6                   0

0.2                                    12                    1

0.2                                   12                     2

0.25                            15                      3

0.1                                    6                       4

0.05                               3                 5

0.05                               3                 6

0.0167                              1                          7

<u>0.033                               2                  8</u>

<u>∑                                    60                   </u>

The number of six non conforming transducers at most

= 6+12+12+15+6+3= 54

The number of six non conforming transducers at most =54/60=0.9

The number of fewer than five non conforming transducers

= 6+12+12+15+6 = 51

The number of fewer than six non conforming transducers =51/60=0.85

 

The number of at least six non conforming transducers

2+1+3+3+6+15= 30

The number of at least six non conforming transducers at most =30/60=0.5

We plot the histogram by placing the percentages (or relative frequency *100) on the y –axis and the X on the x-axis.

The center of the histogram is given by the mean of the distribution which in this case is = ∑fx/∑f= 161/60= 2.683

So option d is the best answer

d) The center of the histogram is around 2 or 3 and it shows that there is some positive skewness in the data

Because at the center (between 2 and 3) the curve is increasing

6 0
3 years ago
Which expression is equivalent to sqrt128x^5y^6/2x^7y^5 ? Assume x 0 and y &gt; 0.
kolbaska11 [484]

<u>Answer:</u>

\frac{8\sqrt{y} }{x}

<u>Step-by-step explanation:</u>

We are given the following expression and we are to simplify it:

\sqrt {\frac {128x^5y^6} {2x^7y^5} }

To make it easier to solve, we can also write this expression as:

\sqrt {\frac{128}{2} * \frac {x^5} {x^7} * \frac {y^6} {y^5}}

Now we will cancel out the like terms to get:

\sqrt {64*\frac{1} {x^2}*y }

Taking the square root of the terms to get:

8*\frac {1}{x} .\sqrt{y}

\frac{8\sqrt{y} }{x}

4 0
3 years ago
Read 2 more answers
A new car is purchased for 17600 dollars. The value of the car depreciates at 11.75%
kramer

Answer:

The value of the car will be

4450.15

Step-by-step explanation:

we know that

11.75%=11.75/100=0.1175

so Let

x-----> the value of the car after 11 years

X=17600(1-0.1175)11=4450.15

Step-by-step explanation:

4 0
3 years ago
What is the equation of a line that passes through the point (0, 5) and has a slope of 1/3
Mariana [72]
Y - y1 = m (x - x1)

y1 being the y coordinate
x1 being the x coordinate
m being the gradient (or slope)

y - 5 = 1/3 (x - 0)
y - 5 = 1/3x
y = 1/3x + 5
6 0
3 years ago
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