Mathematics Middle School

Keiko determined that the coordinate points (–4, 0), (–3, –1), and (2, –6) are solutions to the following system. y = − x − 4 y = x 2 + x − 12 Which coordinates from the solution set are reasonable solutions to the system of equations?

Answers

Answer 1

Answer:

only (-4,0) is a reasonable solution.

Step-by-step explanation:

In order to see which ones are reasonable we need to apply the points to the system and check if they make both equations valid at the same time.

y = -x - 4

y = x² + x - 12

For (-4, 0):

0 = -(-4) - 4 -> 0 = 4 -4 -> 0 = 0 (valid)

0 = (-4)² - 4 - 12 -> 0 =  16 - 16 -> 0 = 0 (valid)

For (-3, -1):

-1 = -(-3) -4 -> -1 = 3 -4 -> -1 = -1 (valid)

-1 = (-3)² -1 - 12 -> -1 = 9 -13 -> -1 = -4 (invalid)

For (2, -6):

2 = -(-6) - 4 -> 2 = 6 -4 -> 2 = 2 (valid)

2 = (-6)² -6 -12 -> 2 = 36 -18 -> 2 = 18 (invalid)

Therefore only (-4,0) is a reasonable solution.

Related Questions

If 2580 people watched one show and 2920 people watched another show. How many people need to watch the third show for there to be a 3000 people average attendance per show?

Answers

Answer:

340

Step-by-step explanation:

2920 - 2580 = 340

There need to be 340 people to watch the third show.

to average 3000 for three shows, the total people would need to be 9000

9000-2580-2920=3500

I have 60% on my iPad and my brother has 90% on his how much more percentage I need as a fraction.

Answers

Answer:

1/3

Step-by-step explanation:

just convert it?

3/10

Step-by-step explanation:

60% is the same as 60/100

90% is the same as 90/100

90-60=30

30/100

30/100 is divided by 10 on each side to simplify it to 3/10

Just put 2 expressions and thats it

Just put 2 expressions and thats it

Answers

Answer: 20 minuse n

Step-by-step explanation:

Twenty minus n
the difference of 20 and n

Which point represents the opposite of 0 on the number line?
A) -5
B) -2
C) 0
D) 2
E) 7

Answers

Answer:

C) 0

Step-by-step explanation:

The opposite of 0 is 0.

The answer is zero simply because zero doesn’t have a value so that would make the absolute of zero, zero. Hope this helps!

Dylan and Tiffany each constructed a two-color spinner. Dylan spun his spinner 3 times and calculated that the
relative frequency of his spinner landing on blue (0.67) and on red (0.33). Tiffany spun her spinner 200 times
and calculated the relative probability of her spinner landing on blue (0.60) and on red (0.40).
How can Dylan's and Tiffany's calculations be used to evaluate the fairness of the two spinners?

Answers

Answer:

You can calculate the likeliness of the spinner landing on blue or red as the  more spins you have the more accurate the results would be. In this case after 200 spins Tiffany calculated that the spinner landing on blue has a 60% chance while landing on red has a 40% chance. Therefore this might not be fair as there is a 60% chance landing on blue.

Step-by-step explanation:

GIVING BRAINLIEST how many angles does a triangle have

Answers

Answer:

The sum of the measure of the angles always equals 180 degrees.

Step-by-step explanation: 3 angles

Answer:

3

step by step instructions:

A Trying go Hey 3 angle when IH birthday bounded by a pair of adjacent sides.

Keira said that if 6 tickets are sold, there should be 2 tickets left. Is Keira correct?

Answers

To determine whether Keira's statement is correct, we need to analyze the information provided.

According to Keira, if 6 tickets are sold, there should be 2 tickets left. However, we don't have any information about the initial number of tickets available.

If the total number of tickets initially was 8, and 6 tickets were sold, then there would indeed be 2 tickets left, supporting Keira's statement.

However, if the total number of tickets initially was less than 8, or if the statement doesn't specify the initial number of tickets, we cannot determine if Keira's statement is correct.

Therefore, without additional information, we cannot determine the accuracy of Keira's statement.
in order to know if Keira has two tickets left, we need to know the first number of tickets without that number there is no way to find the remainder

Match the simplified expression with the correct problem.

Match the simplified expression with the correct problem.

Answers

Answer: 3(x+2) +4=3x+10

x-2x+4=-x+4

1/3(12x-6) = 4x - 2

4x-3-6x+2 = -2x-1

-2(x+4) = -2x-8

Step-by-step explanation:

promise they are right

first one: 3x + 10
second one: -x + 4
third one: 4x - 2
fourth one: -2x - 1
fifth one: -2x - 8

Misha is think of a negative integer greater than -4. What number could she be thinking of?

Answers

Answer:

-5

Step-by-step explanation:

Please put details! I need it! Please and thank you!

Please put details! I need it! Please and thank you!

Answers

Answer:

.

Step-by-step explanation:

A,0.

B. To plot the three points well, you need to look at where the numbers are. Now, lets says its 1 -1 go to where it says -1 and find 1. For -1 1.25 go to the 1 and now split a line into 1/4 making it 1.25. Last but not least go to -2 and cut a line into 3/4.

Hope this helps<3.

Which equation would you use to find the distance between the two points?

A. |-6 - 5|
B. |6 - 5|
C. |6 - (-5)|
D. |-6 + 5|

Answers

The answer is C


Displacement is a vector quantity so it may be either positive or negative. As per convention, acceleration taken as positive when moves downward direction. But, in our case, acceleration towards downward taken as negative, so displacement should also be negative because negative sign only indicate its downward direction.
Answer:

it's C because |-6 - 5| can be simplified to |6+5| which is |11| therefore, the distance is 11 blocks.

whats the surface area?

whats the surface area?

Answers

Answer:

  1108 in²

Step-by-step explanation:

You want the total surface area of the pentagonal prism shown.

Base area

The area of each of the two pentagonal bases is the sum of the area of the yellow rectangle and the area of the triangle above it. That sum is ...

  A = LW +1/2bh

  A = 5(12) +1/2(12)(9) = 12(5 +9/2) = 114 . . . . square inches

Lateral area

The lateral area of the prism is the sum of the areas of the 5 rectangles. That sum will be the product of the perimeter of the pentagonal base and the distance between bases.

  LA = (12 +5 +11 +11 +5)(20) = (44)(20) = 880 . . . . square inches

Total area

The total surface area of the figure is the sum of the two base areas and the lateral area:

  SA = 2(114 in²) +880 in² = 1108 in²

The surface area of the composite figure is 1108 in².

<95141404393>

whats the surface area?

What is the measurement of the longest line segment in a right rectangular prism that is 11.2 centimeters​ long, 6.6 centimeters​ wide, and 6 centimeters​ tall?

Answers

Answer:

Step-by-step explanation:

3.1313109

Answer: the answer should equal 3.131

Step-by-step explanation: as this is the measurement of the longest line in right rectangular prism.

Please got brainliest

Work out the size of angle m.

Work out the size of angle m.

Answers

Answer:

78+25+61+55+64=283

360-283=77

180+77=257

The exterior angles of any polygon (a shape with 3 or more sides) is always equal to 360 degrees.

If you add up all the provided angles you get 283 degrees

The remaining angle to get to 360 is 77 since 360-283=77

Answer: m=77

Hope this helped!

What is the value of the expression below when c=5 and d=4 ?

6c^2 - 5d = 8

48
B
79
C
138
888

Answers

Answer:

138

Step-by-step explanation:

6(52)−(5)(4)+8

=(6)(25)−(5)(4)+8

=150−(5)(4)+8

=150−20+8

=130+8

=138

Got the same answer

Please help
will give brainliest (if I can)
If the intercepts of a line are (a, 0) and (0, b), what is the slope of the line?

Answers

Answer:

a−b=aa=1

Step-by-step explanation:

Since the graph of the linear function f has intercepts (a,0) and (0,b), the two points satisfy the function. Therefore, the slope becomes a−b=aa=1, which is positive.

Show a Graph of y =x+2???

Answers

Answer:

Here you go :)

Step-by-step explanation:

This is on Desmos

Show a Graph of y =x+2???

Hey y’all, anyone could help me with this one bit? (Can’t use decimals.)

Hey yall, anyone could help me with this one bit? (Cant use decimals.)

Answers

Answer:

7     14    21     35

3     6      9     15

not decimals for every 3 cat 7 dog

Step-by-step explanation:

so, you take 7+7 to get 14 then just repeat 14+7 = 21

                    3+3              6    

and for 35 just take 35 divided by 7 * 3 to get 15

i learned this last year

hope this helps

Okay so if Dylan makes 7 dog leashes for every 3 cat leashes the next batch he would make 14 dog leashes for every 6 cats, so basically it doubles

Dog Leashes: 7 | 14 | 21 | 35
Cat Leashes : 3 | 6 | 9 | 15

If xx and y vary directly and y is 21 when x is 7, find y when x is 5

Answers

Answer:

y = 15

Step-by-step explanation:

We need to solve for k

y = x

21 = 7k  Divide both sides by 7 to solve for k

3 = k

y = xk

y = 5(3)

y = 15

Answer: y = 15

Step-by-step explanation:  

Given the inequality -8 < 2, explain what happens when you multiply or divide both sides by 2 and what happens when you multiply or divide both sides by -2.
(open-ended question)

Answers

Answer:

The inequality doesn't change, it just scales with the numbers.

Step-by-step explanation:

(2)-8<2(2)

-16<4

-8/2<2/2

-4/1

What is the angle made by the hour hand and the minute of the clock at 8:57

Answers

Answer:

85 degrees

Step-by-step explanation:

The answer to that is 87,5 degrees

Select all that apply.
Which decimals in the list are repeating decimals?
*see pinned photo*
P.S., is multiple choice.



PLEASE HELP!!

Select all that apply. Which decimals in the list are repeating decimals? *see pinned photo* P.S., is

Answers

Answer:

1/3 , 4/15 , 5/6

Step-by-step explanation:

All you have to do is plug the fractions in your calculator and you see that 1/3, 4/15, and 5/6 are repeating, but the others stop after only a couple of decimal places.

Hope this helps!

Answer:

AYO IM ON MONARCH TOO

Step-by-step explanation:

1/3 4/15 5/6

Quick question will give the brainliest away. "Jack spent 15 hours practicing his saxophone last week. He spent 3 10 of that time doing warm-up routines. How many total hours did Jack spend on warm-up routines last week?" Please shpw your work and put the answer in fraction form. PLZ I AM BEGGING YOU>

Answers

Answer:

4.5 hours or 4 1/2 hours

Step-by-step explanation:

3/10 of 15 equals 4.5

Answer:

4.5 hours or 4 1/2 hours

Step-by-step explanation:

Brainliest?

Some students recorded how many minutes they spent on the phone in one day. They put the results in a Stem-and-Leaf Plot.



What is the mean number of minutes spent on the phone?

Some students recorded how many minutes they spent on the phone in one day. They put the results in a

Answers

Answer:   31

Explanation:

The data from the stem-and-leaf plot is:

10,

24,25,26,

30,30,32,33,

40,45,46

Add up those values

10+24+25+26+30+30+32+33+40+45+46 = 341

Then divide over n = 11 which is the sample size.

341/11 = 31 is the arithmetic mean.

Answer:

341/11 = 31 is the arithmetic mean.

Step-by-step explanation:

Find the solution(s) for x in the equation below. x^2 - 25 = 0

Answers

Answer:

x=5

x=−5

Step-by-step explanation:

x^2−25=0

Consider x^2 −25.

Rewrite x^2−25 as x^2−5 ^2

The difference of squares can be factored using the rule:

a^2−b^2 =(a−b)(a+b).

(x−5)(x+5)=0

To find equation solutions, solve x−5=0 and x+5=0.

x=5

x=−5

help me algebra are and circumference pls

help me algebra are and circumference pls

Answers

The question is basically asking you how much area of the yard the pool takes up, in essence the area the pool takes up.

So we are going to find the area of the pool.

Area of pool is = pi x r^
= 3.14 x 7^2
= 153.86 ft^2

Therefore the pool takes up 153.86 ft^2 of space.

Answer:

43.96

Step-by-step explanation:

You do 2*3.14*7

A project will take a total of 720 person-days to complete. If the project must be completed in 30 days, how many people must be employed? PLEASE HURRY

Answers

Answer:

192 hours per day / 8 hours per person per day = 24 people

Step-by-step explanation:

Assuming each person works for 8 hours a day, the total number of hours needed to complete the project is:

720 person-days x 8 hours = 5,760 hours

To complete the project in 30 days, the total number of hours needed per day is:

5,760 hours / 30 days = 192 hours per day

It’s 24!! EXPLAIN-720/30=24 because you have to divide the amount of people by days p/d= e

Select all shapes below that are nets of a pentagonal-based pyramid.

Select all shapes below that are nets of a pentagonal-based pyramid.

Answers

The answer to this one is D.

Answer:

A and B

Step-by-step explanation:

I took some paper and cut it to the shapes and folded them to see which ones are the answer and got those 2. :3

I need an answer. What is 485-352?

Answers

Answer:

133

Step-by-step explanation:

the answer to your problem is 133

Please Hurry. I need this answer quickly please.

Please Hurry. I need this answer quickly please.

Answers

Answer:63

Step-by-step explanation:

 multiply 72 by 7 then divide i by 8

(72×7)/8

=63

It's 63.

simplify the equation 7/8×72 multiple 7×9 solution is 63

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