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Ronch [10]
3 years ago
15

What is the output, or y-value, when you input x = -3 into the function: x² − 3x + 1

Mathematics
1 answer:
Citrus2011 [14]3 years ago
5 0

Answer:

y = 19

Step by step explanation:

y = x ^{2}  - 3x + 1 \\  y = ( - 3) ^{2} - 3( - 3) + 1 \\ y = 19 \\ so \: the \: y - value \: is \: 19

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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
The sum of two numbers is 52 . The larger number is 6 more than the smaller number. What are the numbers?
tester [92]

Answer:

the answer is 2

Step-by-step explanation:

52÷2=26

26÷2=13

3 0
3 years ago
Write the slope-intercept form of the equation of the line that passes through the point (-4,0 ), and is parallel to y=-(5/4x)+4
amid [387]

Answer:

Step-by-step explanation:

hello :

note :

Use the point-slope formula.

y - y_1 = m(x - x_1)   when : x_1= -4      y_1= 0  

     m= +5/4 (parallel means same slope)

an equation in the point-slope form is : y +0= -5/4(x+4)

4 0
2 years ago
In Exercises 10 and 11, points B and D are points of tangency. Find the value(s) of x.<br>​
Lemur [1.5K]

In both cases,

AB^2=AD^2

(as a consequence of the interesecting secant-tangent theorem)

So we have

10.

(4x+7)^2=(6x-3)^2

16x^2+56x+49=36x^2-36x+9

20x^2-92x-40=0

5x^2-23x-10=0

(5x+2)(x-5)=0\implies\boxed{x=5}

(omit the negative solution because that would make at least one of AB or AD have negative length)

11.

(4x^2-18x-10)^2=(x^2+x+4)^2

16x^4-144x^3+244x^2+360x+100=x^4+2x^3+9x^2+8x+16

15x^4-146x^3+235x^2+352x+84=0

(x-7)(3x+2)(5x^2-17x-6)=0\implies\boxed{x=-\dfrac23\text{ or }x=7}

(again, omit the solutions that would give a negative length for either AB or AD)

7 0
3 years ago
Which relation is NOT a function? Explain your answer.
maw [93]
#2 or B is not a function because it has 3 as X twice
8 0
2 years ago
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