MATHEMATICS MIDDLE SCHOOL

Which system of equations is represented by the graph? A. y = x2 − 5x − 3
6x − y = −27

B.y = x2 − 5x + 3
6x − y = 27

C. y = x2 + 5x + 3
6x + y = −27

D. y = x2 + 5x − 3
6x + y = 27

Answers

Answer 1

Answer:

Answer:

The correct option is C.

Step-by-step explanation:

The vertex form of a parabola is

$y=a(x-h)^2+k$ .... (1)

Where, (h,k) is vertex.

From the given figure it is clear that the vertex of the parabola is at (-2.5, -3.25) and the y-intercept is (0,3).

Substitute h=-2.5, k=-3.25, x=0 and y=3 in equation (1) to find the value of a.

$3=a(0+2.5)^2-3.25$

$3+3.25=6.25a$

$6.25=6.25a$

Divide both sides by 6.25.

$1=a$

Substitute h=-2.5, k=-3.25 and a=1 in equation (1), to find the equation of parabola.

$y=1(x+2.5)^2-3.25$

$y=x^2+5x+6.25-3.25$

$y=x^2+5x+3$

The equation of parabola is $y=x^2+5x+3$ .

If a line passes through two points then the equation of line is

$y-y_1=(y_2-y_1)/(x_2-x_1)(x-x_1)$

The line passes through two points (-6,9) and (-5,3).

$y-9=(3-9)/(-5+6)(x+6)$

$y-9=(-6)/(1)(x+6)$

$y-9=-6(x+6)$

$y-9=-6x-36$

Add 9 on both the sides.

$y=-6x-36+9$

$y=-6x-27$

The equation of line is y=-6x-27.

Therefore the correct option is C.

Answer 2

Answer: C. y = x2 + 5x + 3
6x + y = −27

Explanation:

We need to graph the following function:

$y=5((1)/(2))^x+4$

So this is an exponential decay. Why do we know this? Because the function has the form:

$f(x)=ab^x+k$

So since $a>0 \ and \ b=1/2 \ less \ than \ 1$ then the function is a decay. The graph is shown below.

Learn more:

Exponential function: brainly.com/question/10374556

#LearnWithBrainly

. Tina walked 20 miles for a fundraiser. Liawalked m miles. Tina walked 4 times as
far as Lia. Which equation can be used to
find m, the number of miles Lia walked?

Am= 4 x 20
B20 = 4 x m
C20 = m = 4
Dm = 20 + 4

Answers

Answer:

The relation for the distance cover by Tina and Lia is 20 = 4 × m

Option B

Step-by-step explanation

Given as :

The distance cover by Tina = $D_1$ = 20 miles

The distance cover by Lia = $D_2$ = m miles

According to question

Tina walked 4 times as far as Lia

So, The distance cover by Tina = 4 × The distance cover by Lia

Or, $D_1$ = 4 × $D_2$

I.e 20 miles = 4 × m miles

or. 20 = 4 × m

So, relation is 20 = 4 × m

Hence, The relation for the distance cover by Tina and Lia is 20 = 4 × m

I.e option B Answer

What is the mean for this set of data? 37 12 22 43 57 58 58 A. 41 B. 43 C. 46 D. 58

Answers

Answer:

The answer is 41

Step-by-step explanation:

37+ 12 + 22 + 43 + 57 + 58 + 58 = 287

287/7 = 41

All you have to do is add them all together

A+b+c.......

Then divide by the amount of numbers there are

Here there is 7

Then divide it by this amount

So I did not cheat you because I didn’t give you answer

So your welcome for not feeling guilty cux you did nothing wrong

Kira jogs to a store 72n away in a time of 36s. What is Kira's average speed?Please show your work
Thank You

Answers

The average speed should be 2n/s

Given that,

Kira jogs to a store 72n away in a time of 36s.

Based on the above information, the calculation is as follows:

$= 72/ 36$

= 2n/s

Learn more:brainly.com/question/1289629?referrer=searchResults

Check this attachment

James and Lisa are looking for a good neighborhood to raise their children. They want neighbors who have kids and who also rollerblade. They survey a random sample of residents in a neighborhood. The results are shown in the table.Dave, Aimee, and Mitch live in the neighborhood. Dave is focusing on his career and does not have children. Aimee has never rollerbladed, and all we know about Mitch is that he is very tall. Which of the statements are correct?

I. Probability that Dave is a rollerblader = 50%
II. Probability that Aimee does not have kids = 75%
III. Probability that Mitch is a rollerblader = 80.65%

Answers

The required, none of the statements are correct, as of the given conditions.

What is probability?

Probability can be defined as the ratio of favorable outcomes to the total number of events.

Here,
We are given a survey of a random sample of residents in a neighborhood who have kids and who also rollerblade. Let's denote the events as follows:

R: the event that a resident rollerblades

K: the event that a resident has kids

Based on the information given in the problem, we know that:

Dave does not have kids, so P(K) = 0 for Dave. Therefore, the probability that Dave is a rollerblader is 0, not 50%. So statement I is incorrect.

Aimee has never rollerbladed, so P(R) = 0 for Aimee. We don't know anything about whether Aimee has kids or not, so we cannot determine the probability that she does not have kids. So statement II is incorrect.

We don't have any information about whether Mitch has kids or not, so we cannot determine the probability that Mitch is a rollerblader. Therefore, statement III is also incorrect.

Therefore, none of the statements are correct.

Learn more about probability here:

brainly.com/question/14290572

#SPJ7

Answer:

1. dave has a low chance of rollerblading if he is focusing on his career.

Step-by-step explanation:

Does a polygon usually have more sides or more angles?