What is the x value of the solution to the system of equations

4y=2x+8
Y=-x+2

Answers

Answer 1

Answer:

x=0;y=2

Step-by-step explanation:

4(-x+2)=2x+8 -4x+8=2x+8 -4x-2x=8-8 -6x=0 x=0 y=-x+2 y=0+2 y=2


Related Questions

If f(x) is discontinuous, determine the reason.

f of x equals the quantity x squared plus 4 for x less than or equal to 1 and equals x plus 4 for x greater than 1 (5 points)
A. f(x) is continuous for all real numbers
B. The limit as x approaches 1 does not exist
C. f(1) does not equal the limit as x approaches 1
D. f(1) is not defined

Answers

Answer:  Choice A

f(x) is continuous for all real numbers

=============================================================

Explanation:

The piecewise function given to us basically breaks down into these two cases:

If x = 1 or smaller, then f(x) = x^2+4If x > 1, then f(x) = x+4

So if we plug in x = 1, then we go for the top line and say

f(x) = x^2+4

f(1) = 1^2+4

f(1) = 5

Showing that f(1) is indeed defined. We rule out choice D because of this.

----------------

Let's see what happens when we plug x = 1 into the bottom equation

f(x) = x+4

f(1) = 1+4

f(1) = 5

Both pieces produce the same output. This tells us that as x approaches 1 from either the left or right sides, the y value approaches y = 5. Therefore, the limit at x = 1 exists. We rule out choice B because of this.

We rule out choice C as well because f(1) does equal the limiting value mentioned earlier.

----------------

The answer is choice A because no matter what x value we plug in, it's not only defined but also it's connected to the rest of the function curve as shown below.

Answer: A; f(x) is continuous for all real numbers

weight of three boys is 25 kg 28 kg and 31 kg respectively. Find the average weight of the boys.
a. 25kg

b. 27kg

c. 28kg

d. 26kg

please hurry!!​

Answers

Answer:

C)

Step-by-step explanation:

Find the total sum

25+28= 53

53+31=84

Fimd the average by dividing by 3

84/3= 28

Hence, the answer is c

Answer:

c. 28kg

Step-by-step explanation:

28+25+31 = 84

84/3 = 28kg

what number can be add to
[tex] {9x}^{2} + 24x[/tex]
to make it a perfect square
•∆•​

Answers

The required number will be 16

the expression will be like :

[tex]9 {x}^{2} + 24x + 16[/tex]

[tex](3x) {}^{2} + (2 \times 3x \times 4) + (4) {}^{2} [/tex]

[tex](3x + 4) {}^{2} [/tex]

hope it helps you cap !!

Anti - Venom

Adam tabulated the values for the average speeds on each day of his road trip as 60.5, 63.2, 54.7, 51.6, 72.3, 70.7, 67.2, and 65.4 mph. He wishes to construct a 98% confidence interval. What value of t* should Adam use to construct the confidence interval? Answer choices are rounded to the thousandths place

Answers

Answer:

The answer is "2.998".

Step-by-step explanation:

In the given question, the answer is "2.998" because the critical region value will be used to divide the value into two-part that is 0.01, in which each of the value that will have to see the values of the degree of freedom that is 7, in column 0.01, that is equal to 2.998.

Answer:

2.998

Step-by-step explanation:

Got it right on the test.

If the cos of an angle is .75, what is the csc?
A. 1/√(5)
B. 9/√(6)
C. 6/√(2)
D. 3/√(9)
E. 4/√(7)
F. 2/√(3)

Answers

Answer: Choice E. 4/sqrt(7)

This is the same as writing [tex]\frac{4}{\sqrt{7}}[/tex]

=================================================

Explanation:

0.75 = 3/4

Recall that cosine is the ratio of adjacent over hypotenuse.

That means if cos(theta) = 3/4, then the adjacent is 3 units and the hypotenuse is 4 units.

Through the pythagorean theorem, we would then find that

a^2+b^2 = c^2

a = sqrt(c^2 - b^2)

a = sqrt(4^2 - 3^2)

a = sqrt(7)

This is the opposite side of reference angle theta.

From here, we can say

csc(angle) = hypotenuse/opposite

csc(theta) = 4/sqrt(7)

which points to choice E as the final answer.

A writer was paid $4,000 for a 2,000-word article.
How much is that per word?

Answers

Answer:

$2 per word

Step-by-step explanation:


The composition D
0.
(x, y) is applied
0
3(x,°D
to ARST to create the image of AR'S'T", which is not
shown.

Answers

Answer:

S'' = ([tex]-\frac{3}{2} , \frac{9}{2}[/tex] )

Step-by-step explanation:

coordinate of x is (-2 , 6)

scale factor to transform the triangle is 3/2

so to find S' use this scale factor

formula :

(x , y) = (kx , ky)    (k means scale factor)

S(-2 , 6) = S'(3/2 *-2 , 3/2 * 6)

S'(-3 , 9)

now to find S'' again use the same formula

(x , y ) = (kx , ky)

this time take S' and to find S'' use 1/2 as scale factor

S'(-3 , 9) = S''(1/2 *-3 , 1/2 * 9)

S''(-3/2 , 9/2)

The transformation is S'' = (-3/2, 9/2). The correct option is A.

Scale factor refers to the ratio of corresponding lengths or measurements between two similar objects or figures. It represents how much one object has been scaled or enlarged/reduced compared to another object.

The scale factor is determined by dividing the length or measurement of a corresponding side or dimension of one object by the length or measurement of the corresponding side or dimension of the other object. It provides a quantitative relationship between the two objects.

The coordinate of x is (-2, 6). The scale factor to transform the triangle is 3/2 so to find S' use this scale factor.

formula :

(x , y) = (kx, ky)    (k means scale factor)

S(-2 , 6) = S'(3/2 x -2 , 3/2 x 6)

S'(-3 , 9)

Now to find S'' again use the same formula:

(x , y ) = (kx, ky)

this time take S' and to find S'' use 1/2 as the scale factor.

S'(-3 , 9) = S''(1/2 x -3 , 1/2 x 9)

S''(-3/2 , 9/2)

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which functions have a range of.. SELECT MORE THAN 1

Answers

Answer:

The 3rd and the 5th

Step-by-step explanation:

The graphs of the 3rd and the 5th functions are straight lines

The 1st and 2nd are parabolas

The 4th is an exponential

You must look at the graph: it shall include all the real values for the y coordinate

Please help me ASAP

Answers

Answer:

no

Step-by-step explanation:

no

help?- Plot and connect the points A (-4, 4), B (-1, 1), C (-6, 1), and find the length of BC.
A.
4 units
B.
2 units
C.
6 units
D.
5 units

Answers

the answer could be D 5 units
because the distance between B and C is 5 by looking at the x-axis

Answer:

BC= 5 units

Step-by-step explanation:

Which theorem proves that the triangles are congruent?
A. AAS
B. SSS
C. SAS
D. ASA

Answers

Answer:

D. ASA

Step-by-step explanation:

ASA (Angle-Side-Angle) is a proof of congruence when two triangles share two angles and the side between them.

Answer:

However, note further that the congruent sides are not included sides of the two relevant angles, in which case it won't be ASA but AAS.

Therefore, the two angles are congruent by the AAS Congruence Theorem and the correct answer is C.

Step-by-step explanation:

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100 %sure

Which expression is represented by the model?

Answers

Answer:

X+3

Step-by-step explanation:

I did the test

Name the marked angle in 2 different ways.

Answers

Answer:

angle GIH

angle HIG

this is the answer

if cos A= 9\13 find csc A

Answers

Answer:

13[tex]\sqrt{22}[/tex] / 44

Step-by-step explanation:

cos A = 9/13

here adjacent = 9 and hypotenuse = 13  opposite = ?

using pythagoras theorem to find opposite

a^2 + b^2 = c^2

9^2 + b^2 = 13^2

81 + b^2 = 169

b^2 = 169 - 81

b^2 = 88

b = [tex]\sqrt{88}[/tex]

b =  [tex]2\sqrt{22}[/tex]

therefore opposite =  [tex]2\sqrt{22}[/tex]

cosec A = hypotenuse/opposite

= 13/[tex]2\sqrt{22}[/tex]

rationalizing the denominator

=13/ [tex]2\sqrt{22}[/tex]  *  [tex]2\sqrt{22}[/tex] /  [tex]2\sqrt{22}[/tex]

=13 *[tex]2\sqrt{22}[/tex] /( [tex]2\sqrt{22}[/tex] )^2

=26 [tex]\sqrt{22}[/tex] / 4*22

=26 [tex]\sqrt{22}[/tex] / 88

=13[tex]\sqrt{22}[/tex] / 44

Answer:

[tex]cosec A = \frac{13}{\sqrt{88}}[/tex]

   OR

[tex]cosec A = \frac{13 \sqrt{22}}{44}[/tex]

Step-by-step explanation:

Formulas used:

[tex]cos^2 A = 1 - sin^2 A\\\\cosec A = \frac{1}{sin A}[/tex]

Given :

  [tex]cos A = \frac{9}{13}[/tex]

Find cosec A

   [tex]sin ^2 A = 1 - cos^2 A[/tex]

              [tex]= 1 - (\frac{9}{13})^2\\\\= 1 - \frac{81}{169}\\\\=\frac{169 - 81}{169}\\\\=\frac{88}{169}[/tex]

 [tex]sin A = \sqrt{\frac{88}{169}} = \frac{\sqrt{88}}{13}[/tex]

Therefore,

         [tex]cosec A = \frac{1}{sin A} = \frac{1}{ \frac{\sqrt{88}}{13}} = \frac{13}{ \sqrt{88}}[/tex]

OR In a simplified form :

[tex]cosec A = \frac{13}{\sqrt{88}} \times \frac{\sqrt{88}}{\sqrt{88}} = \frac {13 \times \sqrt{4 \times 22}}{88} = \frac{13 \times 2 \sqrt{22}} {88} = \frac{13 \sqrt{22}}{44}[/tex]        

2020 people formed a line. In one move, you are allowed to exchange the positions of two people, separated by one other person. Can you always sort the people form tallest to shortest using these moves?

Answers

Answer:

yes you CAN you can use the descending to ascending formular but on people in which they might be a mixup of tallest and shortest

No, it is not always possible to sort the people from tallest to shortest using these moves.

Suppose there are four people in the line with heights A, B, C, and D, where A is the tallest and D is the shortest.

The initial order is A-B-C-D.

In each move, we can only exchange the positions of two people separated by one other person.

However, no matter how many moves we make, we cannot change the relative order of A and D since they are separated by two other people.

Thus, it is not possible to sort the people from tallest to shortest using these moves.

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On a coordinate plane, a curved line begins at point (1, 2) and ends at (5, 4).
What is the range of the function on the graph?

all real numbers
all real numbers greater than or equal to 0
all real numbers greater than or equal to 1
all real numbers greater than or equal to 2

Answers

Step-by-step explanation:

there must be something missing here (I guess, the graph).

because just by looking at the 2 points, all 4 answer options could be wrong, or all 4 could be right.

just basing on the point coordinates I see the functional values (y) go from 2 to 4.

but we have no clue about what that curved function does in between these 2 points.

please provide the full information.

Question 7 of 27
Which of the following is an element in the sample space for first rolling a
number cube and then tossing a coin?

Answers

Answer:

TH is an element on the sample space for first rolling a die and then tossing a coin. A coin has both heads and tails.

The sample space for rolling a number cube and then tossing a coin is:

{(1, H), (1, T), (2, H), (2, T), (3, H), (3, T), (4, H), (4, T), (5, H), (5, T), (6, H), (6, T)}

The elements can be any of the elements in the sample space.

What is sample space?

It is the total number of possible outcomes from a given set.

We have,

The sample space for rolling a number cube and then tossing a coin consists of all possible outcomes from rolling the number cube and tossing the coin.

Each outcome is a pair consisting of a number from 1 to 6 (the possible outcome from rolling the number cube) and a head or tail (the possible outcome from tossing the coin).

Therefore, an element in the sample space can be represented as an ordered pair (n, h/t), where n is the number rolled on the number cube and h/t is the outcome of the coin toss (either head or tail).

So,

The sample space for rolling a number cube and then tossing a coin is:

{(1, H), (1, T), (2, H), (2, T), (3, H), (3, T), (4, H), (4, T), (5, H), (5, T), (6, H), (6, T)}

For example, (3, H), (6, T), (1, H), and (4, T) are all elements in the sample space.

Thus,

The sample space for rolling a number cube and then tossing a coin is:

{(1, H), (1, T), (2, H), (2, T), (3, H), (3, T), (4, H), (4, T), (5, H), (5, T), (6, H), (6, T)}

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3a+5b+2c=?
a+b=15
b+c=14
5b=3b,2b

Answers

Step-by-step explanation:

please check you typing 5b = 3b, 2b

?????

Answer:

73

Step-by-step explanation:

3a + 5b + 2c = ?

Given:

a + b = 15

b + c = 14

now express in terms of b

a = 15 - b    equation (i)

c = 14 - b     equation (ii)

3a + 5b + 2c

substitute the values

3(15 - b) + 5b + 2(14 - b)

45 - 3b + 5b + 28 - 2b

add or subtract like terms

73 + 5b - 5b

plus 5b and minus 5b gets cancel

73

The Happy Platter orders corn tortillas and flourtortillas. The ratio of the number of corn tortillas to the number of flour tortillas is 2 : 3. What is the ratio of the number of flour tortillas to the total number of tortillas? Write your ratio 2 ways.

Answers

Answer:

One was to write this ratio is lets say you where ordering 100 Happy Platters this mean you would get 200 corn and 300 flour.

another way is lets say you got a Happy Platter and split it in half with some one else you would get 1 corn and 1.5 flour

Help is appreciated:)

Answers

Answer:

252 in^3

Step-by-step explanation:

7*3*12 = 252

252*.04 = $10.08

Can i get some help with this!

Answers

I think you've got it, I don't know man.

(2-3 t)^2 QUICK PLEASEEEEEEEEEEEEEEEE

Answers

Answer:

The answer is = 4 - 12t + 9t^2

Step-by-step explanation:

(2-3t)^2

= 2^2 - 2*2*3t + (3t)^2

= 4 - 12t + 9t^2

Water is being drained at a constant rate from a tank.
It contains 1000 gallons of water.
After 10 minutes there are 940 gallons of water remaining in the tank.
How much water remained in the tank after 5 minutes?
20 minutes?
30 minutes?
27 minutes?
X minutes?
What is the rate of flow of the water from the tank?
Organize your work to help you answer the questions,

Answers

Answer:

Step-by-step explanation:

1000 gallons - 940 = 60 then divide by the time which gets us 60/10=6

Now we can use this answer to help find out the amount remaining in the tank.

5 minutes = 5x6=30; 1000-30= 970 gallons

20 minutes= 20x6=120; 1000-120= 880 gallons

30 minutes=30x6=180; 1000-180= 820 gallons

27 minutes=27x6=162; 1000-162= 838 gallons

X minutes = 1000-6x

Rate of flow is 6 gallons per minute.

Hope this helps!

Find the value of x in the triangle .Please show work

Answers

Answer:

x=4

Step-by-step explanation:

So basically first we see the angles of this triangle, and we learn that all the angles are congruent. Only a equilateral triangle can have all angles congruent, so this must be equilateral triangle. In equilateral triangles all the sides are congruent. So we just put 5x-12=3x-4. We then solve for x and get 4.

If xy= 180 and HCF (x,y) = 3, then find the LCM (x,y)
tell the answer of LCM (x,y)​

Answers

Answer:

Step-by-step explanation:

LCM×HCF= Product

LCM×3=180

LCM=180/3=60

Q.No.1: A subset of {2, b} is:

Answers

Answer:

{2}

or

{b}

a subset is a part of the whole set.

Answer:

hope it helps...

Can someone help I don’t understand the question

Answers

Answer:

36x

Step-by-step explanation:

OF= 6x (given radius of circle)

OB=OF+FB

= 6x +6x(given OF=FB)

= 12x

Angle D= angle B and angle O= 60°( given arc EF is 60°)

D + B + O= 180° ( sum of angles in a triangle)

x + x + 60= 180° ( let the value of remaining angles be x and D= B)

2x= 180 -60

x = 120/2

x= 60°

now, triangle DOB is a equilateral triangle because all angles are equal.

so, OB=DB=OD= 12x ( all sides are equal in equilateral triangle)

so,

perimeter of DOB= OB+DB+OD

= 12x+12x+12x

= 36x

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Given that f(x) = x^2 - 6x + 8 and g(x) = x – 2, find (f.g)(x) and express
the result in standard form.

Answers

Answer:

(F.g(x))=x^2-10x+24

Step-by-step explanation:

when when we have a composition function, like f of g of x, we put the second function g of x in place of every x in f of x,

so f(x)=x^2-6x+8

and we will put x-2 which is g(x) in the place of every x

so f(g(x))=(x-2)^2-6(x-2)+8

so we ca n simplify that into f(g(x))=x^2-4x+4-6x+12+8

which simplifies to f(g(x))=x^2-10x+24

he tables represent two linear functions in a system.

A 2 column table with 5 rows. The first column, x, has the entries, negative 6, negative 3, 0, 3. The second column, y, has the entries, negative 22, negative 10, 2, 14. A 2 column table with 5 rows. The first column, x, has the entries, negative 6, negative 3, 0, 3. The second column, y, has the entries, negative 30, negative 21, negative 12, negative 3.
What is the solution to this system?

(negative StartFraction 13 over 3 EndFraction, negative 25)
(negative StartFraction 14 over 3 EndFraction, negative 54)
(–13, –50)
(–14, –54)

Answers

Answer:

8-22 is the answer ok thanks


Anyone know the answer to this question ?

Answers

Answer:

4.35

Step-by-step explanation:

(1 * 0.35) + (2 * 0.2) + (5 * 0.1) + (8 * 0.2) + (10 * 0.15) = 4.35

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