Which is the solution for the system of equations? Y = 2x-3
Y = -x
A. (1, -1)
B. No solution
C. (-1, 1)
D. (-1, -1)

Answers

Answer 1

Answer:

(1,-1)

Step-by-step explanation:

[tex] \large{ \begin{cases} y = 2x - 3 \\ y = - x \end{cases}}[/tex]

Since both are y-isolated equation. We can combine both.

[tex] \large{2x - 3 = - x}[/tex]

Since we want to solve for x-term, we need to isolate x-term.

So we move from -x which is the right side to x.

[tex] \large{2x - 3 + x = 0} \\ \large{3x - 3 = 0} \\ \large{3x = 3} \\ \large{x = 1}[/tex]

But we are not done yet. Solving system of equations, you must solve for y-term as well. (Because we have to answer in ordered pairs which are (x, y))

Substitute x = 1 in any given equations but I will substitute x = 1 in y = -x

[tex] \large{y = - x} \\ \large{y = - 1}[/tex]

Since we have got y-value. Therefore the answer is (1,-1)


Related Questions

Go step by step to reduce the radical sqrt 180

Answers

Answer:

6√5

Step-by-step explanation:

REMEMBER THE REMAINDER

Answer:

6[tex]\sqrt{5}[/tex]

Step-by-step explanation

1. Factor 180 into square numbers

180 = 9*4*5

2. [tex]\sqrt{180}[/tex] = [tex]\sqrt{9*4*5}[/tex]

3. Bring out the square numbers to the outside of the square root.

4. 3*2[tex]\sqrt{5}[/tex] = 6[tex]\sqrt{5}[/tex]

A recent study1 examines chocolate’s effects on blood vessel function in healthy people. In the randomized, double-blind, placebo-controlled study, 11 people received 46 grams (1.6 ounces) of dark chocolate (which is naturally flavonoid-rich) every day for two weeks, while a control group of 10 people received a placebo consisting of dark chocolate with low flavonoid content. Participants had their vascular health measured (by means of flow-mediated dilation) before and after the two-week study. The increase over the two-week period was measured, with larger numbers indicating greater vascular health. For the group getting the good dark chocolate, the mean increase was 1.3 with a standard deviation of 2.32, while the control group had a mean change of -0.96 with a standard deviation of 1.58.
Find a 90% confidence interval for the difference in means between the two groups MC-MN , where MC represents the mean increase in flow-mediated dilation for people eating dark chocolate every day and MN represents the mean increase in flow-mediated dilation for people eating a dark chocolate substitute each day. You may assume that neither sample shows significant departures from normality.
Round your answers to two decimal places.

Answers

Answer:

CI = (0.68, 3.84)

Step-by-step explanation:

We want to find the confidence interval for the difference in means between the two groups MC and MN.

where;

- MC represents the mean increase in flow-mediated dilation for people eating dark chocolate every day.

- MN represents the mean increase in flow-mediated dilation for people eating a dark chocolate substitute each day.

We are given;

Sample mean of C; x'c = 1.3

Sample mean of N; x'n = -0.96

Standard deviation of C; S_c = 2.32

Standard deviation of N; S_n = 1.58

Sample size of C; n_c = 11

Sample size of N; n_n = 10

Formula for the confidence interval for the difference in means is;

CI = (x'c - x'n) ± t√[(S_c²/n_c) + (S_n²/n_n)]

Where t is critical value at confidence level. From table attached, t at CL of 90% with DF = 10 - 1 = 9 is; t = 1.833

Thus;

CI = (1.3 - (-0.96)) ± 1.833√[(2.32²/11) + (1.58²/10)]

CI = [(1.3 + 0.96)) - 1.833√[(2.32²/11) + (1.58²/10)], [(1.3 + 0.96)) + 1.833√[(2.32²/11) + (1.58²/10)]

CI = (2.26 - 1.58), (2.26 + 1.58)

CI = (0.68, 3.84)

Plz help me well mark brainliest if correct!!.....

Answers

Answer:

D

Step-by-step explanation:

Do I need to explain?

Answer:

D(8)

Step-by-step explanation:

So remember, 2 opposite sides of a triangle are equivelent.

We know that one of these sides are 3.

So the other side must be 3 as well.

This is 2 of the 4 sides of a rectangle.

If each side is 3, and there are two sides, this means that they add up to 6.

Subtract this from your total permiter:

22-6

=

16

Now remember, there are 2 sides left.

To find the answer, divide the 16(permiter left) by the 2(sides left):

16/2

=

8

This is your answer!

Hope this helps! :)

What is the radius of a circle whose area is 36 cm2
A 18 cm
B. 6 cm
C. 72 cm
D. 36 cm
E. 24 cm

Answers

Answer:

your answer should be 6! :)

Will give brainliest please help


Calculate.
35C12
Note: C
n C₂ =
n!
r!(n-r)!

Answers

Answer:

35C12 = 834451800

Step-by-step explanation:

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

The solution of the given expression is 3.33  x  10⁹.

What is the combination?

The arrangement of the different things or numbers in a number of ways is called the combination.

The solution will be:-

[tex]^{35}{C_{12}=\dfrac{35!}{12!\ 23!}\\\\\\\\\\\\\\^\\35}{C_{12}=\dfrac{35\times 34\times 33\times32\times 31\times 30\times 29\times 28\times 27\times 26\times 25\times 24}{12\times 11\times 10\times 9\times 8\times 7\times 6\times 5\times 4\times 3\times 2\times }\\\\\\[/tex]

[tex]^{35}{C_{12}=3.33\times 10^9[/tex]

Therefore the solution to the given expression will be [tex]^{35}{C_{12}=3.33\times 10^9[/tex]

To know more about combinations follow

https://brainly.com/question/11732255

#SPJ2

A recipe requires 6 1/8 cups of milk Ran put in 3 7/8 cups and emptied a container. How much more milk does he need to put in?

Answers

Answer:

he would need 2 2/8 cups of milk

Step-by-step explanation:

you would just  need to subtract 3 7/8 from 6 1/8

6 1/8 - 3 7/8 = 2 2/8

14 095 X 70
pls help​

Answers

Step-by-step explanation:

14095×70986650 is yr ans.

stay safe healthy and happy.

Please help quickly as possible thank you! :) ​

Answers

Answer:

ertgyhj

Step-by-step explanation:

Answer:

B. 80 students

Step-by-step explanation:

[tex]\frac{56}{y} :\frac{70}{100}[/tex]

y · 70 = 56 · 100

70y = 5600

70y ÷ 70 = 5600 ÷ 70

y = 80

Help me out! I’ll give Brainly :) thank you!!

Answers

5^2-2(5)
25-10
F(5)=15

Answer:

f(5) = 15

Step-by-step explanation:

To evaluate f(5) substitute x = 5 into f(x) , that is

f(5) = 5² - 2(5) = 25 - 10 = 15

It is known that screws produced by a certain company will be defective with probability 0.01, independently of each other. The company sells the screws in packages of 10 and offers a money-back guarantee that at most 1 of 10 screws are defective. That is, the package would have to be replaced if greater or equal to 2 screws are defective. What proportion of packages sold must the company replace

Answers

Answer:

The company must replace 0.0042 = 0.42% of packages.

Step-by-step explanation:

For each screw, there are only two possible outcomes. Either it is defective, or it is not. The probability of an screw being defective is independent of any other screw. This means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

It is known that screws produced by a certain company will be defective with probability 0.01.

This means that [tex]p = 0.01[/tex]

The company sells the screws in packages of 10

This means that [tex]n = 10[/tex]

That is, the package would have to be replaced if greater or equal to 2 screws are defective. What proportion of packages sold must the company replace?

This is:

[tex]P(X \geq 2) = 1 - P(X < 2)[/tex]

In which:

[tex]P(X < 2) = P(X = 0) + P(X = 1)[/tex]

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 0) = C_{10,0}.(0.01)^{0}.(0.99)^{10} = 0.9044[/tex]

[tex]P(X = 1) = C_{10,1}.(0.01)^{1}.(0.99)^{9} = 0.0914[/tex]

[tex]P(X < 2) = P(X = 0) + P(X = 1) = 0.9044 + 0.0414 = 0.9958[/tex]

[tex]P(X \geq 2) = 1 - P(X < 2) = 1 - 0.9958 = 0.0042[/tex]

The company must replace 0.0042 = 0.42% of packages.

Ryan and Carl each get paid a basic pay of £60 per day.
One day, Ryan also gets a bonus of 25% of his basic pay.
Carl also gets £20 in tips from customers.
Work out the difference between the total amounts of money that Ryan and Carl each get.

Answers

Answer:

Difference between both pay = £5

Step-by-step explanation:

Given:

Basic pay of Ryan = £60 per day

Basic pay of carl = £60 per day

Ryan get bonus = 25% of basic pay

Carl get = £20 as tip

Find:

Difference between both pay

Computation:

Total of Ryan pay = 60 + 25%(60)

Total of Ryan pay = 60 + 15

Total of Ryan pay = £75

Total of Carl pay = 60 + 20

Total of Ryan pay = £80

Difference between both pay = 80 - 75

Difference between both pay = £5

Can someone answer this please l

Answers

Answer:

Step-by-step explanation:

(5a + 18) + (48 - a) + (8a - 30) = 180 (Angles on a straight line)

5a + 18 + 48 - a + 8a - 30 = 180

12a + 36 = 180

12a = 180 - 36

a = 144/12

a = 12

therefore, the first angle is, 78 degree, second angle is 36 degree and third angle is 66 degree.

Therefore, the size of the smallest angle is 36 degree

180=5a+18+48-a+8a-30
144=12a
a=12
The middle angle= 36 degree
Give me brilliant

Determine the volume of the composite figure!

Answers

Answer:

1017.88

Step-by-step explanation:

i used the formula of V=πr2h

3 a for the cone and then also 4

3πr3 for the sphere

plzmark branliest

i will give Brainiest if you are right

Answers

Answer:

D.

Step-by-step explanation:

The answer is 117

Answer: The answer is not listed

Step-by-step explanation:

Please answer the question correctly with factual information for brainliest.

Answers

Answer:

Second Option

Step-by-step explanation:

[tex]5^2 + 7^2 = PQ^2[/tex] (pythagorean theorem)

[tex]PQ^2 =74[/tex]

[tex]PQ = \sqrt{74}[/tex]

solve for x please answer this question ​

Answers

Answer:

<15

Step-by-step explanation:

What is the equation of a circle with center at (4, -2) and a radius of 7?

Answers

let h= 4, k=-2 and r= 7 then

(x-h)^2 + (y-k)^2 = r^2

(x-4)^2 + (y+2)^2 = 7^2

x^2 -8x +16 + y^2 +4y +4 = 49

x^2 +y^2 -8x +4y +16 +4-49 = 0

x^2 + y^2 -8x +4y -29 = 0 is the required eq

What is the value of x???

Answers

Answer:

x=63

Step-by-step explanation:

The degree measure of a line is 180 degrees.

180 degrees is made up of 117 and x

117+x=180

x=63

Can someone please help me ASAP

Answers

The angle looks like 86

Mia agrees to borrow a 3-year loan with 4% simple interest to buy a motorcycle.

Part A
If Mia will pay a total of $444 in interest, how much money did she initially borrow? Enter your answer in the box.

$

Part B
How much interest would Mia pay if the simple interest rate were 5%? Enter your answer in the box.

Answers

Answer:

part a: she borrowed 3,700

part b: she would pay 555 interest

Step-by-step explanation:

Help fast no links !! Scott wishes to make a line plot of the heights in inches for a
basketball team. The heights are listed below. Which line plot
represents the data correctly?
74 79 78 79 82
73 82 81 80 84
74 76 69 78 84

Answers

Answer:

c

Step-by-step explanation:

hope it helps[]~( ̄▽ ̄)~*

Answer:

c

Step-by-step explanation:

c because it’s most likely correct and I took the test

hope it helps


HELP HELP HELP HELP

What is the equation of the trend line in the scatter plot ?

Answers

suck goes



sss toes


asks me xncnc

A flower bed is in the shape of a triangle with one side twice the length of the shortest side and the third side is 30 feet more than the length of the shortest side. Find
the dimensions if the perimeter is 198 feet.
What is the length of the shortest side?
The length of the shortest side is

Answers

Answer:

The three sides are 36 f t ,  72 f t  and  59 f t .

Step-by-step explanation:

Let the length of the shortest side of the triangular flower bed be x feet.

Then the length of the second side is 2x and

the length of the third side is  x + 23

The given perimeter is  167 f t  hence:

x+2x+x+23=167

4x+23=167

4x=167-23

4 x = 144

x = 144 /4 = 36

2 x = 2 ⋅ 36 = 72

x +23 = 36 + 23 = 59

The length of the three sides of the triangular flower bed are 36 f t ,  72 f t  and  59 f t .

Consider this system of equations. y=2x x+2y=15

Answers

Answer:

x=3

y=6

Step-by-step explanation:

ez pz

Determine if the two triangles shown are similar. If so, write the similarity statement.
Question 16 options:

A)

ΔSUD ∼ ΔTUE

B)

Impossible to determine.

C)

The triangles are not similar.

D)

ΔSUD ∼ ΔEUT

Answers

Answer:

C) The triangles are not similar.

Step-by-step explanation:

These triangles are not similar. Similar triangles are triangles with the same angle measurements and proportionate side measures. However, these sides are not proportionate and therefore the triangles are not similar. You can tell the sides are not proportionate because on one triangle the two given sides (which are corresponding with the other two given sides) are congruent but the other triangle has no congruent sides. This also means that the smaller triangle is isosceles while the larger one is scalene, and different triangle types cannot be similar.

If the sales tax rate is 7.25% in a town in California, then how much would be the full price for a pair of shoes that cost $39

Answers

Answer:

Total cost= $41.83

Step-by-step explanation:

Giving the following information:

Purchase price= $39

Tax rate= 7.25% = 0.0725

To calculate the total cost of the pair of shoes, we need to use the following formula:

Total cost= purchase price * (1 + tax rate)

Total cost= 39 * 1.0725

Total cost= $41.83


HELP

What is the equation of the trend line in the scatter plot ?

Answers

Answer:

y= -2/3x+9

Step-by-step explanation:

just do y=mx+b


Plz help me well mark brainliest if correct!!....ñ

Answers

B. A and C, they both have area of 48.

Answer:

Option B.

Step-by-step explanation:

Have a great day!

you don’t have to give Brainliest ;)

I really dont understand this stuff and i need answers asap. thank u

Answers

Answer:

45°

Step-by-step explanation:

∠A = 90° because AC is diameter of the circle P.

Since ABC is right triangle and ∠A is 45°, the remaining angle is also 45°:

m∠C = 45°

Can someone help please with unit 12 homework 7??

Answers

Answer:

See answers below

Step-by-step explanation:

Using the sin rule

a/sinA = b/sinB = c/sinC

a) x/sin110 = 16/sin27

xsin27 = 16sin110

xsin27  = 15.035

x = 15.035/sin27

x = 33.1

2) Using the cosine rule;

x² = 30²+14²-2(30)(14)cos125

x²  = 900 + 169 - 840cos125

x²   = 1069 - 840(-0.5735)

x² = 1069 +481.80

x² = 1,550.80

x =39.4

3) 28² = 18²+12²-2(18)(12)cosx

784 =  324 + 144- 432cosx

784 - 468 = - 432cosx

316 = - 432cosx

Cos x = -316/432

x = - 42.99

x = 180 - 42.99

x = 137.0 degrees

4) Using the sine rule

20/sinx = 33/sin91

33sinx = 20sin91

sinx = 20sin91/33

sinx = 19.997/33

sinx = 0.6059

x = arcsin(0.6059)

x = 37.3degrees

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