Solve the system.
-2x + 1/2y
= 3/2
x - зу
= 2
Find the value of 'x'.

Answers

Answer 1

Answer:

x = -1

Step-by-step explanation:

i multiplied the first equation by 2 to eliminate the fractions and got:

-4x + y = 3

used substitution method:  y = 3 + 4x

x - 3(3 + 4x) = 2

x - 9 -12x = 2

-11x = 11

x = -1


Related Questions

HELP!!!
Which question is not a linear equation?
1. -4v +2w = 7
2. x/4 = y
3. x = -5
4. 2/x + 3/y = 6

Answers

4. 2/x + 3/y = 6 is not a linear equation!:)

Name the property that the statement illustrates.

Answers

Answer:

Transitive property of segment congruence

Step-by-step explanation:

The reflexive, symmetric, and transitive properties are the criterion for an equivalence relation. In terms of congruence,

The reflexive property states that [tex]\overline{XY} \cong \overline{XY}[/tex] (a segment is congruent to itself)The symmetric property states that if [tex]\overline{AB} \cong \overline{CD}[/tex], then [tex]\overline{CD} \cong \overline{AB}[/tex] (this is essentially commutativity)The transitive property states that if [tex]\overline{AB} \cong \overline{CD}[/tex] and [tex]\ovelrine{CD} \cong \overline{EF}[/tex], then [tex]\overline{AB} \cong \overline{EF}[/tex].

In terms of general equivalence relations,

The reflective property states that [tex]a = a[/tex].The symmetric property states that if [tex]a=b[/tex], then [tex]b=a[/tex].The transitive property states that if [tex]a=b[/tex] and [tex]b=c[/tex], then [tex]a=c[/tex].

That's the transitive property.

The fact that congruence is transitive means exactly what you have written: if A is congruent to B and B is congruent to C, then you can "bridge" from A to C.

Which is a counterexample of the following conjecture: "If two angles are supplementary, they have the same measure?"
A:30 degrees and 60 degrees
B:50 degrees and 130 degrees
C:90 degrees and 90 degrees
D:45 degrees and 45 degrees

Answers

Answer:i dont know but i think its D.

Step-by-step explanation:

Pls mark meh Brainlessed                  

My friend justen here hes tacken and hes cracked at fornight my guy AHHHH A BREAD DOG

A local movie theater has an offer that for every seven movies you pay to go see, they will give you free passes for two other movies. If you paid to see 42 movies last year, how many free passes did you receive?

Answers

Answer:

i just need  more points so sorry im not helping

Step-by-step explanation:

im just a blank bc it doesnt let me say it seventh grader

Answer: 12

Step-by-step explanation: 42/7 = 6 and u get 2 free passes so 6 x 2 = 12

Please help!
Melissa's penny bank is 3/10 full. After she adds 240 pennies, it is 4/5 full. How many pennies can Melissa's bank hold?

Answers

Answer: 480 pennies
Explanation: 4/5=8/10 8/10-3/10= 5/10
240 pennies filled half of the bank thus 480

The terminal side of Ø is in quadrant II and sin ø = 5/13 What is cos ø?

A. 5/12
B. -12/13
C. -5/12
D. 12/13

Answers

Step-by-step explanation:

In Quadrant II, cosine is negative.

We know that sin²x + cos²x = 1, so:

cosx = sqrt[1 - sin²x]

= sqrt[1 - (5/13)²]

= sqrt(144/169)

= -12/13 (since cosx is negative here)

The answer is -12/13. (B)

Option B is correct.

Quadrants and the "cast" Rule:In the first quadrant, the values for sin, cos, and tan are positive.In the second quadrant, the values for sin are positive only.In the third quadrant, the values for tan are positive only.In the fourth quadrant, the values for cos are positive only.

According to the given question

We have,  sin ∅ = 5/13

From the trigonometric identities we know that

[tex]sin^{2}[/tex]∅ + [tex]cos^{2}[/tex]∅ =1

substitute the value of sin∅ in the above identity

[tex](\frac{5}{13} )^{2} + cos^{2}[/tex]∅  =1

⇒ [tex]\frac{25}{69} +cos^{2}[/tex]∅  =1

⇒ [tex]cos^{2}[/tex]∅ = 1 - [tex]\frac{25}{169}[/tex]

⇒ [tex]cos^{2}[/tex]∅ = [tex]\frac{169-25}{69} =\frac{144}{169}[/tex]

⇒[tex]cos[/tex]∅ = [tex]\sqrt{\frac{144}{169} }[/tex]

⇒cos∅ = ±[tex]\frac{12}{13}[/tex]

Since, ∅ is in quadrant II, then cos<0

⇒ cos∅ = -[tex]\frac{12}{13}[/tex]

Hence, option B is correct.

Learn more about quadrant and cast rule here:

https://brainly.com/question/11099638

#SPJ2

I need help with this​

Answers

Step-by-step explanation:

income income earned working 5 hours is $50

She’ll earn $50 in 5 hours

The air pressure P is inversely proportional to the altitude h. write the related variation equation

Answers

Step-by-step explanation:

P * h = k, where k is a real constant.

2 – Efetue:

a) (+7) . (- 5) b) (-9) . (- 8) c)(-15) : (+5) d) (+125) : (+25)

preciso disso pra agora

Answers

A) [tex]7x(-5)[/tex]

A multiplicação de um numero positivo por um numero negativo resulta em um numero negativo: [tex](+) x (-)=(-)[/tex]

[tex](7x5)[/tex]

Multiplique os valores

[tex]-35[/tex]

resposta para  A: [tex]-35[/tex]

B)[tex](-9)x(-8)[/tex]

A multiplicação dois números negativos resulta em um numero positivo : [tex](-)x(-)=(+)[/tex]

[tex]9 x 8[/tex]

Multiplique os valores

[tex]72[/tex]

Resposta para B :[tex]72[/tex]

C)[tex](-15) : 5[/tex]

A divisão de um numero negativo por um positivo resulta em um numero negativo: [tex](-):(+)=(-)[/tex]

[tex]-(15:5)[/tex]

Divida os números

[tex]-3[/tex]

Resposta para C: [tex]-3[/tex]

D) [tex]125 : 25[/tex]

Divida os números

[tex]5[/tex]

Resposta para D: [tex]5[/tex]

POR FAVOR ME MARCA BRAINLIEST

Given g(x)=2x+3, solve for x when g(x)=3

Answers

Answer:

-3/2

Step-by-step explanation:

I’ll mark as BRANLIEST!!!

45 POINTS!!!

I need help with both questions plz help god loves you all.

Answers

Answer:

43

-161

Step-by-step explanation:

43

-161

you’re welcome:))

16an - 19an +8b +9an +12 b

Answers

Answer:

16an - 19an + 9an + 8b + 12b

6an + 20b

Answer:

6an+20b I believe

Step-by-step explanation:

the equation of the line through (3 -4) with slope 2/3 is:
WILL GIVE BRAINLIST

Answers

Answer:

[tex]y = \frac{2}{3}x - 6[/tex].

Step-by-step explanation:

(3 , -4)  ;  slope(m) = 2/3

y - y1 = m (x -x1)

[tex]y - [-4] = \frac{2}{3}(x - 3)\\\\y + 4 = \frac{2}{3}x - 3*\frac{2}{3}\\\\y +4 = \frac{2}{3}x-2\\\\ y = \frac{2}{3}x - 2 - 4\\\\ y = \frac{2}{3}x - 6[/tex]

Please help!!!!!!!!!

Answers

Answer:

D

Step-by-step explanation:

Using the cosine ratio in the right triangle

cos CBA = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{BC}{AB}[/tex] = [tex]\frac{3}{9}[/tex] , thus

∠ CBA = [tex]cos^{-1}[/tex] ([tex]\frac{3}{9}[/tex] ) ≈ 70.53° ( to 2 dec. places )

A chrome book cost 249.99 at target on Black Friday it is on sale for 15 % off what is the price of the computer on Black Friday

Answers

Answer:

The price is 212.49

Step-by-step explanation:

sorry if wrong.

write and equation of the line below ​

Answers

Answer:

y = 1/4x + 0 or just y = 1/4x

Step-by-step explanation:

First I need the slope so I look at the dots and see how much boxes it goes up and then to the side. So it’s up 2 to the side 8. The slope would be 2/8 but you can simply it by 2 and you get 1/4. And the y intercept is given its zero.

Look at the comments under this question! y = 10-3x and 2x+2y = 0

Answers

Answer:

Yes! You would sub 10-3x for y and solve.

Don't forget to use the distributive property! Your answer should be 5.

Pls help really fast I don't know this!!!!!

Answers

I think it's (3,4) but I am not confident so please be understanding

Answer:

(3, 1 )

Step-by-step explanation:

The centre of the circle is at the midpoint of the diameter.

Given endpoint (x₁, y₁ ) and (x₂, y₂ ) then the midpoint is

( [tex]\frac{x_{1}+x_{2} }{2}[/tex] , [tex]\frac{y_{1}+y_{2} }{2}[/tex] )

Here (x₁, y₁ ) = (9, 7) and (x₂, y₂ ) = (- 3, - 5 ) , then

midpoint = ( [tex]\frac{9-3}{2}[/tex], [tex]\frac{7-5}{2}[/tex] ) = ( [tex]\frac{6}{2}[/tex], [tex]\frac{2}{2}[/tex] ) = (3, 1 )

Thus centre of circle = (3, 1 )

Given the graphed function below, which of the following ordered pairs are
found on the inverse function?

Answers

Answer: Option B.

Step-by-step explanation:

A linear function can be written as:

y = a*x + b

where a is the slope and b is the y-intercept.

if the line passes through the points (ax, ay) and (bx, by) then the slope is:

a = (bx - ax)/(by - ay)

In this case, we can see that the line passes through the points:

(1, 3) and (2, 1)

Then the slope is:

a = (1 - 3)/(2 - 1) = -2

y = -2*x + b

In the graph we also can see that the line intersects the y-axis at y = 5, then b = 5.

The line is:

y = f(x) = -2*x + 5.

the inverse function is such that:

g( f(x)) = x

to find the inverse function of a linear equation, we just could isolate x.

y - 5 = -2x

-y/2 + 2.5 = x

Then we could write the inverse function as:

g(x)  = - x/2 + 2.5

Now we need to see which pairs belong to this line. I just will evaluate the function g(x) in different values of x, and see which points belong to the line.

g(9) = -9/2 + 2.5 = -4.5 + 2.5 = -2

(9, -2) belongs to the line.

g(7) = -7/2 + 2.5 = -3.5 + 2.5 = -1

Then (7, -1) belongs to this line.

g(5) = -5/2 + 2.5 = 0

Then the point (5, 0) belong to this line.

We can already see that all these points are in option B, then option B is the correct one.

Ants have 6 legs. Elena and Andre write equations showing the proportional relationship between the number of ants, , to the number of ant legs . Elena writes a= 6L and Andre writes l=1/6a . Do you agree with either of the equations? Explain your reasoning.

Answers

Answer: Elena would be the correct answer

Step-by-step explanation: since ants have 6 legs and have 1 body we know that there are 6 legs for every 1 ant. hope this helps

Translate the inequality and solve. Three times a number is less than or equal to six.​

Answers

Answer:

x ≤ 2

Step-by-step explanation:

We can write out the inequality as: 3(x) ≤ 6

You have to divide 3 from both sides, so x ≤ 6/3 which is x ≤ 2.

Mirah has breakfast at a reaturant. She leaves an 20% tip of $1.80

Answers

Answer:

.36

Step-by-step explanatio

The rectangle shown

Answers

The answer is C- 20

a^2 + b^2=c^2


Find the solution to the systems of equations using the elimination method.
2x + 3y = 11
5x + 3y = 14

Answers

Answer:

x=1

Step-by-step explanation:

-3x=-3

Help I give 20 points answer ASAP

Answers

Answer:

-1

Step-by-step explanation:

Can someone help me with this

Answers

Answer:

(-8;11] is the range of the graph

Dose y = 7.2x represent a proportional relationship, if so identify the constant of proportionality. If not, explain why not.

Answers

Answer:

Yes it does

The constant of proportionality is 7.2

Step-by-step explanation:

Here, we are to determine if the expression represents a proportionality relationship

From the question, we can see that this is so

If we placed x beneath y, we will have

y/x = 7.2

So therefore the ratio between the two is 7.2 and thus, the equation represents a proportional relationship

(1 pt
Find a formula for P = f(t), the size of the population that begins in year t=0 with 2140 members and decreases at a 3.8% annual rate. Assume
that time is measured in years

Answers

Answer:

The formula f(t) will be:

[tex]\:f\left(t\right)=2150\left(0.962\right)^t[/tex]              

Step-by-step explanation:

We know that exponential decline in Maths can be termed as a consistent reduction of an amount by percentage over a certain period of time.

It can be expressed using the formula

[tex]f\left(t\right)=\:a\:\left(1-b\right)^t[/tex]

here

f(t) represents the final amount

a represents the original amount

b represents the decay factor

t represents the amount that has passed

Now, map our problem using the same concept formula

as

2150 members are at the beginning, so

a = 2150  

as the size of the population has been experiencing an annual decline of 3.8%. so

b = 3.8%= 0.038

so substituting b = 0.038 and a = 2150  

[tex]P=f\left(t\right)=\:a\:\left(1-b\right)^t[/tex]

[tex]\:f\left(t\right)=2150\left(1-0.038\right)^t[/tex]

[tex]\:f\left(t\right)=2150\left(0.962\right)^t[/tex]

Therefore, the formula f(t) will be:

[tex]\:f\left(t\right)=2150\left(0.962\right)^t[/tex]              

At Stop and Shop this week, grapes the price of grapes is 2.5 pounds (lbs) for $6.70. 1 How many pounds of grapes can you buy for $9.00? Clearly show your math reasoning

Answers

I am thinking 3.5 pounds

Answer: he average retail price of grapes is $2.09 per pound, according to United States Department of Agriculture's Economic Research Service, with most bags weighing in around two pounds. That's where it's easy to get tricked: Grapes for $3.99 per pound don't sound so bad, but a 2.5-pound bag would set you back nearly $10.

Step-by-step explanation:

least to greatest, 45%, .46, 11/25

Answers

Answer:

46, 11/25, 45%

Step-by-step explanation:

Least to greatest is 46 11/25 and 45%
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