what are the solutions of the following system?

[tex]\left \{ {{x -2y = -6} \atop {-2x + 4y = -3}} \right.[/tex]

Answers

Answer 1

Step-by-step explanation:

x-2y=-6 ...(1)

-2x+4y=-3 ...(2)

Multiply equation (1) by 2

So,

2x-4y=-12 ...(3)

Now add equation (2) and (3).

-2x+4y + 2x-4y = -3+(-12)

0=-15

It means that there is no solution of the given equations.


Related Questions

PLS

SOLVE !!!!

I WILL MARK THE BRAINLIEST

Answers

Answer:

A is two; B is nine; C is one

Good Luck!

a) C has to be either one or zero (but I'm assuming the solution you're wanting is when C=1). This is because A+B + Whatever is carried can only be a number 0-19, meaning only a 1 can be carried to the third column.

b) if C is 1, then in the ones place, B+A must = 11

c) if the carried 1 + a + b = 10 + a, then a can be substituted and we find that b = 9; and a =2

please help on either of these questions, im lost. :((

Answers

Answer:

2. I think is 5

Step-by-step explanation:

Answer : The answer to the second question is -5. Option A.

I'm confused about what the first question means.

Write a function rule for the area of a rectangle whose length is 5in. more than its width. what is the area of the rectangle when its width is 8in.?

Answers

Answer:

40in^2

Step-by-step explanation:

Solve each equation:
5x=1

Answers

Answer:

5x=1

Step-by-step explanation:

51

Helps me solve this problem please

Answers

Answer:

0

Step-by-step explanation:

Since it is a flat, horizontal line, it has a slope of 0.

If the line was straight up and down, it would be undefined.

Which are the solutions of x2 = -5x + 8?

Answers

Answer:

x=

2

−5−

57

=−6.275

x=

2

−5+

57

=1.275

Step-by-step explanation:

-|-2-3(6)| evaluation

Answers

Answer:

-20

Step-by-step explanation:

The answer is -20 because you have to subtract some numbers and then multiply some

-6x + 5xy - 9y - 3x + 7 =....need help again!!sorry​

Answers

Answer:

=5xy−9x−9y+7

Step-by-step explanation:

Let's simplify step-by-step.

−6x+5xy−9y−3x+7

=−6x+5xy+−9y+−3x+7

Combine Like Terms:

=−6x+5xy+−9y+−3x+7

=(5xy)+(−6x+−3x)+(−9y)+(7)

=5xy+−9x+−9y+7

Answer:

=5xy−9x−9y+7

The image point of A after a translation right 2 units and down 1 unit is the point B (10,−1). Determine the coordinates of the pre-image point A.

Answers

Answer:

pre image point A (8,0)

Step-by-step explanation:

I guess thats the answer

A = (x, y)

After a translation right 2 units and down 1 unit is the point B (10, -1)

A = (x + 2, y - 1)

B = (10, -1)

A = B

x + 2, y - 1 = 10, -1

x, y = 10 - 2, -1 + 1

x, y = 8, 0

(x, y) = (8, 0)

The coordinates of pre-image point A is (8, 0)

Helpp pls I tired to solve it out but I can’t get it

Answers

I think it’s b and a I think

Need help please help.

What are the answers for this and please explain thank you.

Answers

slope is 3/4
the equations is y=3/4x+5
don’t know the vertical intercept
no
no

On January 1, 2010, Joline deposits $1000 in a bank account that does not earn interest. For the next 12 months she deposits $25 each month. Then she withdraws $25 each month for the next 12 months. On January 1, 2010, Sofia deposits $1100 in an account that earns 0.25% interest each month.

a. Write two models: one for the amount in Joline's account and one for the amount in Sophia's account. State what the variables in your models represent.

b. In what months and years do the accounts have approximately the same amount, and what are the amounts?​

Answers

Answer:

$1000 + $25m and $1300 - 25m ;

1100 + 2.75m

2010 (4th month)

2011 ( 7th month)

Step-by-step explanation:

Joline's account :

Initial deposit = $1000

Monthly deposit = $25

Monthly withdrawal = $25

Number of months = 12

Let m = number of month at any point in time

Initial deposit + total deposit

Amount in Joline's account ; first 12 months

$1000 + $25m - - - (1)

Next 12 months :

$1000 + $25 *12 - 25m

1300 - 25m

Sofia's account :

Deposit amount = $1100

Interest per month = 0.25% = 0.0025

1100 + (1100 * 0.0025 * m)

1100 + 2.75m - - (2)

To find the month:

Equate equation 1 and 2, then find m

$1000 + $25m = 1100 + (1100*0.0025*m)

1000 + 25m = 1100 + 2.75m

25m - 2.75m = 1100 - 1000

22.25m = 100

m = 100 / 22.25

m = 4.494

In year 2010, they have approximately the same amount in the fourth month

1300 - 25m = 1100 + 2.75m

1300 - 1100 = 2.75m + 25m

200 = 27.75m

m = 200 / 27.75

m = 7.207

In 2011 ; they have approximately the se amount in the 7th month

Max's town voted on a new speed limit. Of the votes received, 576 were in favor of the new speed limit and 64 were opposed. What percentage of the votes were in favor of the new speed limit?​

Answers

9 I think that the Answer so if not delet this Answer

3.
How many solutions would this system of equations have?
y = 2x + 1
y =2(x+3)
a) One
b) No solutions
c) Two solution
d) Infinitely Many solutions.

Answers

Answer:

b) No solutions

Step-by-step explanation:

y=2x+1

y= 2(x+3)

Substitute the y in y=2x+1 with 2(x+3)

2(x+3)=2x+1

Then distribute the 2.

2x+6=2x+1

Subtract 2x from both sides to isolate the variable.

6=1

this statement is false, meaning the system of equations has no solutions.

8b + 5 + 4 = -23
Need ASAP

Answers

Answer: b= -4

Step-by-step explanation:

b= -4. Because - 23-9
8b = -32 so then 32 divided by 8 = -4 so the yeaaaaaaaaasaaaaaaa

Need help ASAP!! Write an informal proof to show triangles ABC and DEF are similar.

Answers

Answer:

Δ ABC and Δ DEF are similar because their corresponding sides are proportional

Step-by-step explanation:

Two triangles are similar if their corresponding sides are proportional which means the corresponding sides have equal ratios

In the two triangles ABC and DEF

∵ AB = 4 units

∵ DE = 2 units

∴ [tex]\frac{AB}{DE}=\frac{4}{2}=2[/tex]

∵ BC = 6 units

∵ EF = 3 units

∴ [tex]\frac{BC}{EF}=\frac{6}{3}=2[/tex]

∵ CA = 2 units

∵ FD = 1 units

∴ [tex]\frac{CA}{FD}=\frac{2}{1}=2[/tex]

∴ [tex]\frac{AB}{DE}=\frac{BC}{EF}=\frac{CA}{FD}=2[/tex]

∵ All the ratios of the corresponding sides are equal

∴ The corresponding sides of the two triangles are proportional

Δ ABC is similar to Δ DEF

1.Find the area of a trapezium with parallel sides of
length 15 cm & 7 cm. The perpendicular distance
between the parallel sides is 6.8 cm.

Answers

Answer:

The area of the trapezium is [tex]74.8\ cm^2[/tex]

Step-by-step explanation:

Area of a trapezium:

[tex]\displaystyle A=\frac{b1+b2}{2}h[/tex]

This formula is valid if b1 and b2 are parallel and h is perpendicular to both.

Since the trapezium given in the problem satisfies those conditions, we use the formula with:

b1=15 cm

b2=7 cm

h=6.8 cm

[tex]\displaystyle A=\frac{15+7}{2}\cdot 6.8[/tex]

[tex]A=74.8\ cm^2[/tex]

The area of the trapezium is [tex]74.8\ cm^2[/tex]

If two gallons of gas cost $5.40, how many gallons can be purchased for $13.50?

Answers

Answer:

5 gallons because 13.5 divided by 5.4 is 2. 5 so times 2 so 5

Answer:

5 gallons.

Step-by-step explanation:

two gallons=$5.40

? gallons=$13.50

you cross multiply

2 × $13.50÷$5.40

27÷5.40=5 gallons

What is the value of tan(60°)? One-half StartRoot 3 EndRoot StartFraction StartRoot 3 EndRoot Over 2 EndFraction StartFraction 1 Over StartRoot 3 EndRoot EndFraction

Answers

Answer:

[tex]\sqrt3[/tex]

Step-by-step explanation:

To find:

The value of [tex]tan60^\circ[/tex] = ?

Solution:

Kindly consider the equilateral [tex]\triangle ABC[/tex] as attached in the answer area.

Let the side of triangle = [tex]a[/tex] units

Let us draw the perpendicular from vertex A to side BC.

It will divide the side BC in two equal parts.

i.e. BD = DC = [tex]\frac{a}{2}[/tex]

Using Pythagorean Theorem in [tex]\triangle ABD[/tex]:

[tex]\text{Hypotenuse}^{2} = \text{Base}^{2} + \text{Perpendicular}^{2}[/tex]

Side AD = [tex]\frac{\sqrt3}{2}a[/tex]

Using Trigonometric ratio:

[tex]tan\theta = \dfrac{Perpendicular}{Base}[/tex]

[tex]tanB = \dfrac{AD}{BD}[/tex]

Putting the values of AD and BD:

[tex]tan60^\circ=\dfrac{\frac{\sqrt3}{2}a}{\frac{1}{2}a}\\\Rightarrow tan60^\circ = \bold{\sqrt3}[/tex]

What number should be placed in the box to help complete the division calculation? Long division setup showing an incomplete calculation. 16 is in the divisor, 3426 is in the dividend, and 2 hundreds and 1 tens is written in the quotient. 3200 is subtracted from 3426 to give 226. An unknown value represented by a box is being subtracted from 226.

Answers

Answer:

The unknown value is being subtracted from 226 is 160

Step-by-step explanation:

Long division setup showing an incomplete calculation

16 is in the divisor 3426 is in the dividend 2 hundreds and 1 tens is written in the quotient 3200 is subtracted from 3426 to give 226 An unknown value represented by a box is being subtracted from 226

so,

The dividend = 3426

 The divisor = 16

2 hundreds means 200 and 1 tens means 10

∵ The quotient = 200 + 10 + x

∵ Dividend = divisor × quotient

∴ (16 × 200) + (16 × 10) + (16 × x) +remainder  = 3426  

∵ 16 × 200 = 3200

Subtract 3200 from the dividend  

∴ 3426 - 3200 = 226

∵ 16 × 10 = 160

∴ 226- 160 = 66

⇒160is the unknown value

∵ 16 × x = 16x  

∵ 66 - 16x = 0

∴ 66 = 16x

- Divide both sides by 16

∴ x = 4  and remainder = 2

∴ 3426 ÷ 16 = 200 + 10 + 4

∴ 3426 ÷ 16 = 214  

∴ From the steps above the missing number subtracted from

  226 is 160

The unknown value is being subtracted from 226 is 160

y=2x+10 in standard form

Answers

Answer:

2x-y=-10

Step-by-step explanation:

I'm assuming by standard form you mean

Ax+By=C

Ax⇒2x

By⇒-y

C=-10

2x-y=-10

passes through the points (−4, 2) and (12, 6)?

Answers

I'll assume you need to find the equation of the line that passes through those points.

Answer:

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

Step-by-step explanation:

Equation of a Line:

The equation of a line passing through points (x1,y1) and (x2,y2) can be found as follows:

[tex]\displaystyle y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]

The given points are (-4,2) and (12,6), thus:

[tex]\displaystyle y-2=\frac{6-2}{12+4}(x+4)[/tex]

Operating:

[tex]\displaystyle y-2=\frac{4}{16}(x+4)[/tex]

Simplifying, the equation in point-slope form is:

[tex]\mathbf{\displaystyle y-2=\frac{1}{4}(x+4)}[/tex]

Patrick paid $12 for
25 pounds of candy.
How much did each
pound of candy cost?

Answers

$12/25 pounds

12/25= $0.48

$0.48/pound is your answer

Answer:

48 cents each pound

Step-by-step explanation:

Divide $12 by 25 pounds.

12÷25=0.48

Divide £42 in the ratio 1:5

Answers

Answer:

This Ratio Division Calculator allows you to divide an amount by a specific ratio (with multiple ratio values, for example 2:5:9:11:18, click on the "Example" buttons for ratio division examples), if you are new to ratio division or want to understand the formulas used in ratio division you should use our Divide Ratio Calculator as this ratio division calculator assumes you already understand the basics of ratio division, you may also find our Equivalent Ratio Calculator useful. A ratio is a numerical comparison of 2 or more quantities and indicate the relative size of each quantity. Ratios are used in a number of daily activities and business markets, the Ratio Division Calculator can be used to divide a specific ratio, you can also access additional Ratio Calculators for application in math, engineering and other every day scenarios.

Step-by-step explanation:

d =   c × b a  ,

d =   3 × 8 4  = 6

If we divide £42 in the ratio of 1:5 so it comes 7 and 35.

Given that,

The number is £42.The given ratio is 1:5.We need to divide the above number in the given ratio.

Based on the above information, the calculation is as follows:

[tex]= 42 \times 1 \div (1 + 5)[/tex]

= 7

And

[tex]= 42 \times 5 \div (1 + 5)[/tex]

= 35

Therefore we can conclude that If we divide £42 in the ratio of 1:5 so it comes 7 and 35.

Learn more: brainly.com/question/13549064

question in pic. please help!

Answers

Answer: 1, 3, and 4 can form triangles. The rest can not.

Step-by-step explanation:

on triangles 1, 3, and 4, the 2 smaller sides added together are greater than the longer side.

HELP PLS
What is the domain of the function y= Vx+6 -7?
x²-7
X-6
x26
x7

Answers

domain = -6 (the second one)

The domain of the function is [ - 6 , ∞ ]

What is range & domain?

The domain of a function is the set of values that we are allowed to plug into our function. This set is the x values in a function such as f(x). The range of a function is the set of values that the function assumes. This set is the values that the function shoots out after we plug an x value in.

here, we have,

A radical function is the one provided.

It should be noted that a radical function can only be specified for values that will result in the radicand being larger than or equal to zero.

As a result, either the radicand of the provided function must be larger than or equal to zero, or:

Thus we can write it as

x + 6 ≥ 0

subtract 6 from both LHS and RHS

x + 6 - 6 ≥ 0 - 6

x ≥ - 6

Therefore the domain of the function is [ - 6 , ∞ ]

To know more about domain and function you may visit the link which is mentioned below:

brainly.com/question/13113489

#SPJ7

The average price of a movie ticket in the United States from 1980 to 2000 can be modeled by the expression 2.75 + 0.10x, where x is the number of years since 1980.Which parts of the expression correspond to the cost of movie tickets in 1980 and the increase in price per year? Choose the correct value for each part below. Part A: The cost of movie tickets in 1980 is represented by

Answers

Answer:

[tex]2.75,\ 0.1x[/tex]  

[tex]2.75[/tex]

Step-by-step explanation:

In the expression [tex]2.75+0.1x[/tex] the number [tex]2.75[/tex] represents the cost of a movie ticket in 1980 and [tex]x[/tex] represents the years after 1980. So increase per year is represented by [tex]0.1x[/tex].

If the cost of the ticket in 1982 is needed that means 2 years have passed after 1980, [tex]x[/tex] will be [tex]2[/tex].

In 1980, zero years have passed so, [tex]x=0[/tex]

Therefore the cost of movie tickets is represented by [tex]2.75+0.1\times 0=2.75[/tex]

Find the equation of the line that passes through points a and b.
Please help, will award brainliest.

Answers

Find slope (y2-y1)/(x2-x1)
(-1-7)/(-3-1) = -8/-4 = 2
Y = 2x + b
Plot in point
7 = 2(1) + b, b = 5
Equation: y = 2x + 5

hi i have dis questioonnnnn plz help ;-;

Answers

Answer:

Step-by-step explanation:

10+W=25

Answer:

The First Part would be B and for the W= would be 15 since

25 = 10 + 15, it would also be B because of the order of the numbers.

You could also rewrite it as 10 + 15 = 25.

Step-by-step explanation:

PLEASE HELP!!
Graph the function:
g(x)=(x-1)(x+2)(x-2)

Answers

Answer:

See the picture below. I just used Desmos.

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