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2 years ago

Consider the graphs shown below. Look at each trend line.

Mathematics

1 answer:

Rina8888 [55]2 years ago

5 0

Answer:

GraphB

Step-by-step explanation:

To obtain the best line of fit, we need the line which minimizes the sum of the squared distances, Therefore, from visual inspection, we can conclude that the best line of fit will be one in which the distance between each individual distance and the line of best fit is minimized, for the first graph, only the upper points are close to the regression line leaving the lower values further away, however, the secubd graph gives a more uniform distance between all the data values and the regression line. Hence, it does a better job at capturing the trend in the data.

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What is the vertex of the graph of y + 2x + 3 = –(x + 2)2 + 1? (–3, –33) (–3, 3) (3, –24) (3, 21)

Arte-miy333 [17]

ANSWER

(-3,3)

EXPLANATION

The given function is

$y + 2x + 3 = - (x + 2) ^{2} + 1$

Expand

$y + 2x + 3 = - x ^{2} - 4x - 4 + 1$

Rewrite in the form:

$y =a {x}^{2} + bx + c$

This implies that,

$y = - x ^{2} - 4x - 2 x - 4 + 1 - 3$

$y = - {x}^{2} - 6x - 6$

Complete the square to get,

$y = - ( {x}^{2} + 6x) - 6$

$y = - ( {x}^{2} + 6x + {(3)}^{2} ) - - {(3)}^{2} - 6$

$y = - {(x + 3)}^{2} +9 - 6$

$y = - {(x + 3)}^{2} +3$

The function is now in the form:

$y = a {(x - h)}^{2} +k$

where (h,k) =(-3,3) is the vertex

8 0

3 years ago

Read 2 more answers

Peter owned a juice shop. He sold a cup of lemon juice for $1.25 and a cup of apple juice for $2.50. If Peter sold a total of 15

meriva

Answer:

You have to add them then divide by the number of cups

Step-by-step explanation:

6 0

2 years ago

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yulyashka [42]

Answer:

Step-by-step explanation:

3 0

3 years ago

There are two types of ice cream cones - strawberry and peach. You and 24 of your closest friends are going to buy ice cream con

Zolol [24]

Answer:

10 people bought both strawberry and peach cones

Step-by-step explanation:

Given that there are two types of ice cream cones - strawberry and peach. You and 24 of your closest friends are going to buy ice cream cones.

Assuming that each one had atleast one ice cream we get

$n(AUB) =24+1 =25$

A - no of people bought straw berry

B - no of people bought peach cones

n(A) = 15 and n(B) =20

Hence we have

$n(AUB)=n(A)+n(B)-n(AB)\\25= 15+20-n(AB)\\n(AB) = 10$

10 people bought both strawberry and peach cones

6 0

2 years ago

Ugh I need so much help please

Anna007 [38]

Answer:

Step-by-step explanation:

Remember the SAS rule is that you know the measure of 2 sides and their angle in between. (Note that SSA side side angle DOESN'T work.) For the first question we know that sides JH and LM are congruent, and sides GJ and MK are as well. Secondly, we know that angles M and J are congruent. The question is; does this problem follow the SAS (side angle side) rule? Yes, their are two proven congruent sides on the two triangles, and the angle between them is proven congruent as well.

Second one is congruent because it follows the SSS rule (side side side) ie: all sides are congruent, so therefore the triangles are congruent.

Think about the third one. Is it congruent or not. (To be congruent it has to follow SSS, or SAS) Comment below so I can correct you.

3 0

3 years ago