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2 years ago

What is the initial value of the function represented by this table?

Mathematics

2 answers:

max2010maxim [7]2 years ago

5 0

Answer: 3

Step-by-step explanation: initial value would be (when it’s at zero) and when the x value is at zero the y value is at three

Julli [10]2 years ago

4 0

Answer:

Step-by-step explanation:

Initial value represents the value of the function when the input (which here is x) is zero. Looking at the table, we see that if x = 0, y = f(0) = 3.

The initial value of this function is 3.

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Answer:

Step-by-step explanation:

- x + 3 = - 1 ⇒ x = 4

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Answer:

Step-by-step explanation:

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2 years ago

Researchers measured the percent body fat and the preferred amount of salt (percent weight/volume) for several children. Here ar

Anon25 [30]

Answer: b) τ = 0.3

Step-by-step explanation:

Given the data :

Amount of salt (x)____% body fat(y)

0.2 _______________20

0.3 _______________30

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The correlation Coefficient as obtained from the online pearson correlation Coefficient calculator is 0.3281 = 0.3 (to one decimal place) which implies that a weak positive correlation or relationship exists between the preferred amount of salt taken to the percentage body weight of an individual. This is because the value is positive and closer to 0 than 1. The closer the weaker the degree of correlation. With positive values implying a positive relationship (that is an increase in variable A leads to a corresponding increase in B and vice-versa).

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2 years ago

Write an equation of the perpendicular bisector of the segment with end points M(1,5) and N(7,-1)

vitfil [10]

The perpendicular bisector of the segment passes through the midpoint of this segment. Thus, we will initially find the midpoint P:

$P=\dfrac{(1,5)+(7,-1)}{2}=\dfrac{(8,4)}{2}=(4,2)$

Now, we will calculate the slope of the segment support line (r). After this, we will use the fact that the perpendicular bisector (p) is perpendicular to r:

$m_r=\dfrac{\Delta y}{\Delta x}=\dfrac{5-(-1)}{1-7}=\dfrac{6}{-6}\iff m_r=-1$

$p\perp r\Longrightarrow m_p\cdot m_r=-1\Longrightarrow m_p\cdot(-1)=-1\iff m_p=1$

We can calculate the equation of p by using its slope and its point P:

$y-y_P=m_p(x-x_P)\\\\
y-2=1\cdot(x-4)\\\\
y-2=x-4\\\\
\boxed{p:~~y=x-2}$

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2 years ago

Which value must be added to the expression x2 + x to make it a perfect-square trinomial? One-fourth One-half 1 4

SVEN [57.7K]

Answer:

$\frac{1}{4}$