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telo118 [61]
3 years ago
9

Four points from a line are shown in the table below.

Mathematics
1 answer:
Dvinal [7]3 years ago
8 0

Answer:

Correct choice is D. y=-x+3.

Step-by-step explanation:

pick any two points from the table say (0,3) and (1,2)

Now we we can use both points to find the equation of line.

slope m=\frac{y_2-y_1}{x_2-x_1}=\frac{2-3}{1-0}=\frac{-1}{1}=-1

now plug slope m=-1 and any point say (0,3) into point slope formula

y-y_1=m\left(x-x_1\right)

y-3=-1\left(x-0\right)

y-3=-1\left(x\right)

y-3=-x

y=-x+3

Hence correct choice is D. y=-x+3.

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Assume that
JulsSmile [24]

Answer:

D - It is impossible to make a judgment with the given information.

Step-by-step explanation:

The fact that 1200 births were randomly selected and only 599 of such picks are girls does not give enough information on whether the birth is significantly high, low or neither. We must have other information to test for significance of the births proportion.

All we know is that;

Proportion of girls birth (p) = 599/1200 = 0.499. And by default, the proportion of male births (q) will be 1-p = 1-0.499 = 0.501.

If we examine the proportion closely, there seems to be no significant difference in the birth proportion.

Having said this, we cannot really imply that, the number of girls is significantly high. Or the number of girls is neither significantly low nor significantly high. Or the number of girls is significantly low.

The best subjective submission will be that, <em>there is no significant difference between girls birth and males birth.</em> The question of high or low (an alternative hypothesis) requires some further statistical test and this question does not provide further details.

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3 years ago
Solve for x, 4x – 5 = -17
Len [333]
X= -3
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3 years ago
A quadratic function f(x)=ax2 passes through (0,0) and (5,5). write an equation for this function
krek1111 [17]

Answer:

y = (1/5)x² or  y = x²/5

Step-by-step explanation:

We have the function f(x) = ax² and are given that the point (5,5) is on the parabola.  We need to find 'a'.   f(x) can be replaced with 'y', so we can rewrite the equation as...

y = ax²    

We know that when x = 5, y = 5, so we have

5 = a(5²)      now simplify...

5 = 25a

5/25 = a

1/5 = a, so our equation becomes

(1/5)x² or  x²/5  (the expressions are equal)

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