Mathematics High School

Which statements are true about the ordered pair (−1, 5) and the system of equations?

Answers

Answer 1

Answer:

Option D is correct answer.

Step-by-step explanation:

We are given the system of equations:

[tex]x+y=4\\x-y=-6[/tex]

Solving the system of equations to find values of x and y

Let:

[tex]x+y=4--eq(1)\\x-y=-6--eq(2)[/tex]

Adding both equations to find value of x

[tex]x+y=4\\x-y=-6\\------\\2x=-2\\x=\frac{-2}{2}\\x=-1[/tex]

So, we get value of x: x=-1

Now, putting value of x: x=-1 into equation 1 to find value of y

[tex]x+y=4\\Putx=-1\\-1+y=4\\y=4+1\\y=5[/tex]

So, we get value of y: y=5

The ordered pair will be: (-1,5)

So, Option D: The ordered pair(-1,5) is a a solution to the system of equations because it makes both equations true is correct choice.

Checking:

Put x=-1 and y=5 in equation 1

[tex]x+y=4\\-1+5=4\\4=4\:True[/tex]

Put x=-1 and y=5 in equation 2

[tex]x-y=-6-1-5=-6\\-6=-6\:\:\:True[/tex]

So, both equations are true.

Therefore, Option D is correct answer.

Related Questions

which is the correct graph for the equation?

Answers

Answer:

From the given graph, we can easily determine that graph A contains the y-intercept b = 3.

Thus, option A is the correct option.

The graph of the equation is also attached below.

Step-by-step explanation:

The slope-intercept form of the line equation

[tex]y = mx+b[/tex]

where

m is the slopeb is the y-intercept

Given the function

2x+5y=15

converting the equation into the slope-intercept form

5y = -2x + 15

divide both sides by 5

y = -2/5x + 3

Thus,

The slope of the line is: m = -2/5

The y-intercept of the line: b = 3

In other words, the ordered pair (0, 3) represents the y-intercept.

From the given graph, we can easily determine that graph A contains the y-intercept b = 3.

Thus, option A is the correct option.

The graph of the equation is also attached below.

9.(06.04 MC)
Find x value for the point that splits segment CD in half if point C is located at (-2, 4) and point D is located at (3, 7). (5 points)
5.5
05
O 0.5
03

Answers

Answer:

took the test and its 0.5

Step-by-step explanation:

Answer:

The correct answer is C) 0.5

Step-by-step explanation:

I took the test and this was correct!!

what number when added to 1 1/3 gives 2

Answers

The answer is 2/3

Explanation

1/3+2/3= 3/3 which is 1
So that would change 1 1/3 to 1 3/3 which is the same as 2.

A store is having a 20%-off sale on its video games. What is the amount of the discount on a game that regularly costs $25?

Answers

Answer:$20

Step-by-step explanation:

$25x.20=5

$25-5=20

List two equivalent numbers to 0.50

Answers

1/2, 4/8. If in decimal form, you can also do 0.5 or 0.500

James is playing a dice game. He is rolling two 6-sided dice. To win, the two dice must sum to a
number greater than 7. What is the probability that he will win?

Answers

Answer:

9/20

Step-by-step explanation:

4+4=8, 4+5=9, 4+6=10, 5+5=10, 5+6=11, and 6+6=12 are the nine possible roll combinations that have a sum greater than 7 out of the possible 20 different combinations. This makes the probability of rolling a sum greater than 7 a nine in twenty chance.

Need help finding x.

Answers

Answer:

Step-by-step explanation:

SOH CAH TOA to help remember how the trig functions fit on the triangle

use SOH since we know the angle and the hypotenuse and want to find the opposite side

Sin(x)= Opp/ Hyp

Hyp* sin(38) = Opp

12* 0.6156614753 = Opp

7.3879377...

7.4 is the answer

which equation represents this graph?

Answers

Answer:

It would be the 1st answer, y= 3/2x + 2.

Step-by-step explanation:

The intersection on the Y axis determins the "+2". To find the slope, it is always x/y. It rises 3, and runs 2. Hope this helps

If the following data were transformed, and points with the coordinates (x.log()) were plotted, what points would be plotted? Round log() to threedecimal places

Answers

I think it’s A because I think it’s multiplying each number

Answer: It’s D

Step-by-step explanation:

Order the sides of each triangle from shortest to longest.

Answers

Answer:

Step-by-step explanation:

the line that's PR is longer than OR

DETERMINE THE MISSING SIDE

Answers

Answer:

21 in

Step-by-step explanation:

by the Pythagorean theorem we have

[tex]841=400+x^2\\\\x^2=441\\\\x=21[/tex]

notice that the 841 and the 400 don't go squared because they already squared!

is 19, and 40 a prime or composite number

Answers

Answer:

19 is a prime number. 40 is a composite number

Step-by-step explanation:

40 can be divided by number other than 1 and its self

19 can only be divided by 1 and itself

Answer:

19 is composition 40 is prime number

Consider the graph of the linear equation 2x - 5y = 10.

x-intercept=
y-intercept =
slope=

Answers

Answer:

x-intercept= (5,0)

y-intercept= (0,-2)

Slope= 2/5

Step-by-step explanation:

plz help me with this

Answers

Answer:

its green so you got it right

and if thats not the case you are correct

Step-by-step explanation:

hereeee lol& thanks again<3!

Answers

Answer:

-1/2 is the slope. This means that the graph moves down one unit, and right 2 units (over and over again)

-1 is the y-intercept. This is where the line hits the y-axis

start by plotting the y-intercept (0,-1)

then move down one unit, and right two units, and plot another point.

this is the line y=-1/2x-1

Step-by-step explanation:

hope it helps

............

HELP WITH MATH PLSSSSSSSSSSSSS

Answers

Answer:

Undefined

Step-by-step explanation:

Whenever there's a perfectly straight vertical line, its classifies as undefined

wut anime do u guys watch comment down below and you'll get brainliest as well 2x2 just in case it would deleted i will also put math equations 2x3x4x5

Answers

I feel like the answer to this complex equation would have to be naruto . It’s an older one that everyone knows but still such a good show

( 10 - 2n ) - ( 5n - 8)

Answers

Answer:

− 7n+18

Step-by-step explanation:

(10- 2n)- (5n- 8)

− 2n+10-5n+8

-7n+18

PLEASE HELP .!!! ILL GIVE BRAINLIEST.. *EXRTA POINTS* .. DONT SKIP :(( !
ILL GIVE 40 POINTS .

Answers

Answer:its 3/4th gallons

Step-by-step explanation:

Answer:

5 is the answer i believe

Step-by-step explanation:if you add the xs together you get 4 the 1/2 plus 1/2 half = 1 so add 4 plus 1 you get 5

Write an equation for the nth term of the following arithmetic sequence. 30, 26, 22, 18, . . . (WILL GIVE BRAINLEST)

Answers

It’s minus 4 so I’d say 30,26,22,18,14,10,4 than that’s it hope this helps :)

What is greater -3.2 or -3

Answers

Answer:

-3 is greater

Step-by-step explanation:

Have a good day :)

I think that it is greater

At Shop and Save Grocery Store, apples cost $3.59 a pound. If you buy 2.5 pounds, how much will it cost? Round your answer to the nearest cent.

Answers

Answer:

$8.98

Step-by-step explanation:

3.59+3.59+1.80

The answer would be $8.98. If each pound of apples costs $3.59 cents and you buy 2.5 pounds, your equation would be 2.5(3.59)=8.98.

Please hurry, I have to turn this in Today. I’ll be posting more questions on it.

Answers

Answer:

24 cm square

Step-by-step explanation:

Formula: ab/2. ( a* b = leg * leg)

6*8/2. (formula)

48/2 (simplify)

24 cm square ( answer)

Accuracy not garunteed

The mean and standard deviation of the sample data collected on continuous variable are -0.25 and 0.03, respectively. The following table shows the
relative frequencies of the data in the given intervals.
Interval
Relative Frequency
0.02
0.15
0.33
-0.34 < x < -0.31
-0.31 <<< -0.28
-0.28 << -0.25
-0.25 < 3 < -0.22
-0.22 <3 < -0.19
-0.19 <<< -0.16
0.36
0.11
0.03
Based on the table, do the data support the use of a normal model to approximate population characteristics?
A Yes, because the sum of the relative frequencies is 1.00.
B
Yes, because the distribution of relative frequencies is very close to the empirical rule for normal models.
с
No, because the values are negative and normal models are used for positive values.
D
No, because the distribution of relative frequencies is very far from the empirical rule for normal models.
E
No, because the sample size and the population parameters are not known.

Answers

Answer:

Step-by-step explanation:

I know because I know that how

The correct answer is D. No, because the distribution of relative frequencies is very far from the empirical rule for normal models.

What is Mean?

The sum of all values divided by the total number of values determines the mean (also known as the arithmetic mean, which differs from the geometric mean) of a dataset. The term "average" is frequently used to describe this measure of central tendency.

To determine if the data supports the use of a normal model to approximate population characteristics, we need to examine the relative frequencies and see if they exhibit a bell-shaped or normal distribution.

Looking at the table, we see that the relative frequencies are not symmetrical and do not follow the empirical rule for normal models.

The largest relative frequency is in the interval from -0.28 to -0.25, and the frequencies decrease as we move away from this interval. Additionally, there are negative values in the data, which is not a characteristic of normal models.

Therefore, the correct answer is D. No, because the distribution of relative frequencies is very far from the empirical rule for normal models.

Learn more about Mean here:

https://brainly.com/question/521501

#SPJ7

Lydia made 3 pounds of trail mix. One portion of trail mix is 19 pound. How many portions of trail mix did Lydia make?

Answers

Answer:

I have the same question but no one will help me

Step-by-step explanation:

One-third of Olivia age , increased by 12 , is equal to twice her age , decrease by 3. How old is Olivia

Answers

Answer:

she would be 9

Step-by-step explanation:

Answer:9

Step-by-step explanation:

Write 5√4 using rational exponents.

Answers

Answer:

5(4)^1/2 is the correct answer

Step-by-step explanation:

hope this helps

How to solve and the answer

Answers

Answer:

x = 10; y = 10

Step-by-step explanation:

[tex] \sin(theta) = \frac{opposite}{hypotenuse} [/tex]

[tex] \cos( {theta} ) = \frac{adjacent}{hypotenuse} [/tex]

[tex] \tan( {theta} ) = \frac{opposite}{adjacent} [/tex]

theta = 45°

opposite = x

hypotenuse = 10√2

adjacent = y

1) find x using sin formula

[tex] \sin(theta) = \frac{opposite}{hypotenuse} [/tex]

[tex] \sin(45) = \frac{x}{10 \sqrt{2} } [/tex]

[tex] \sin(45) \times 10 \sqrt{2} = x[/tex]

[tex]10 = x[/tex]

[tex]x = 10[/tex]

2) find y using cos formula

[tex] \cos( {theta} ) = \frac{adjacent}{hypotenuse} [/tex]

[tex] \cos(45) = \frac{y}{10 \sqrt{2} } [/tex]

[tex] \cos(45) \times 10 \sqrt{2} = y[/tex]

[tex]10 = y[/tex]

[tex]y = 10[/tex]

please choose the correct answer due at 11:59

Answers

The answer is b
Graph b is the only one that crosses (1,30) (2,60) and (3,90)

Answer:

Step-by-step explanation:

if you line up the months (x) with the money (y) evrything lines up correctly whe you look at the points on the graph

hope this helps <3

What is the base for the follwing problem log100=2

Answers

The base would be 50 I’m pretty sure!!!!

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