determine which ordered pair is a solution to the system of equations. A. (-2,-1) B. (-1,-2) C. (2,7)

Determine Which Ordered Pair Is A Solution To The System Of Equations. A. (-2,-1) B. (-1,-2) C. (2,7)

Answers

Answer 1

Answer:

  C.  (2, 7)

Step-by-step explanation:

It is fairly easy to try the offered points in the equations to see which works.

  A. (x, y) = (-2, -1); -4(-2) +2(-1) = 8 -2 = 6; 9(-2) -3(-1) = -18+3 = -15 ≠ -3

__

  B. (x, y) = (-1, -2); -4(-1) +2(-2) = 4 -4 = 0 ≠ 6

__

  C. (x, y) = (2, 7); -4(2) +2(7) = -8 +14 = 6; 9(2) -3(7) = 18 -21 = -3

(2, 7) is a solution to the system of equations.

_____

If you want to solve the equations, it can work to put each in standard form by dividing out the common factor.

  2x -y = -3

  3x -y = -1

Subtracting the first from the second gives ...

  (3x -y) -(2x -y) = (-1) -(-3)

  x = 2 . . . . . matches choice C


Related Questions

Mathematics 13 don’t understand

Answers

Answer:

  1/6^3

Step-by-step explanation:

The applicable rules of exponents are ...

  a^-b = 1/a^b

  (a^b)(a^c) = a^(b+c)

__

Your expression can be simplified as follows:

  [tex]\dfrac{6^{-5}}{6^{-2}}=\dfrac{1}{(6^{-2})(6^5)}=\dfrac{1}{6^{-2+5}}=\boxed{\dfrac{1}{6^3}}[/tex]

_____

Additional comment

If you think of an exponent as signifying repeated multiplication, the rules of exponents may be easier to remember. The exponent tells you how many times the base is a factor in the product.

Consider multiplication:

  [tex](x\cdot x\cdot x)\cdot(x\cdot x)=x^3\cdot x^2=x^{3+2}=x^5\\\\(x\cdot x\cdot x)\cdot(x\cdot x\cdot x)=(x^3)^2=x^{3\cdot2}=x^6[/tex]

Consider division:

  [tex]\dfrac{x\cdot x\cdot x}{x\cdot x}=x\quad\Longleftrightarrow\quad\dfrac{x^3}{x^2}=x^{3-2}=x^1\\\\\dfrac{x\cdot x}{x\cdot x\cdot x}=\dfrac{1}{x}\quad\Longleftrightarrow\quad\dfrac{x^2}{x^3}=x^{2-3}=x^{-1}[/tex]

This may help you see that a positive exponent in the denominator is equivalent to a negative exponent in the numerator (and vice versa).

what is a2? ai + 1=ai +1 a0=0 ?

Answers

If a₀ = 0, and [tex]a_{i + 1} = a_i + 1[/tex], then

a₁ = a₀ + 1 = 0 + 1   ⇒   a₁ = 1

and

a₂ = a₁ + 1 = 1 + 1   ⇒   a₂ = 2

i hope it helped you :P

it was easyy!!!

(THE ULTIMATE QUESTION)solve one step equation (will also give Brainliest)


1. 3x = -18

2.x/4 = 16

3.-9x = 45


4.x + 8 = -10

5.-3x = -9

6.x/-2 = -3

Answers

Answer:

1 = --6

2 x=64

3 x= --5

4 x= --18

5 x=3

6 x=6

Step-by-step explanation:

GIMME BRANlIEST PLZZZ

With two of the angles fixed on ADEF, what do you notice about the shape of ADEF when compared with ABC?​

Answers

Answer:

Step-by-step explanation:

u notice that the letters are different from each other

Solve the system of linear equations by substitution: (SHOW UR WORK)
y=-x
y=3x-4

Answers

Answer:

1

Step-by-step explanation:

What you can do is do [tex]3x-4=-x[/tex]

-4=-4x

x=1

CHECK:

[tex]3-4=-1[/tex]

[tex]-1=-1[/tex]

The circumference of a circle, C, is directly proportional to the length of its radius, r. Write down a formula,using k, connecting the circumference of the circle and the length of its radius.

Answers

The proportional relationship connecting the circumference of the circle and the length of its radius is:

[tex]C = kr[/tex]

What is a proportional relationship?A proportional relationship is a function in which the output variable is given by the input variable multiplied by a constant of proportionality, that is:

[tex]y = kx[/tex]

In which k is the constant of proportionality.

In this problem:

The output is the circumference of the circle.The input is the radius of the circle.

Hence, the formula is:

[tex]C = kr[/tex]

You can learn more about proportional relationships at https://brainly.com/question/25815502

120% of what number is
54?

Answers

Answer:

45

Step-by-step explanation:

What is the domain of the following function?

Answers

Answer:

third option (-3,3,5,9)

Step-by-step explanation:

domain is the starting point of the set (x coordinate )

Find the surface area of a box of length 6 cm, width 5 cm, and height 4 cm.

Answers

Answer:

It would i feel like its 132

Step-by-step explanation:

Suppose that $2000 is loaned at a rate of 12%, compounded semiannually. Assuming that no payments are made, find the amount owed after 3 years
Do not round any intermediate computations, and round your answer to the nearest cent.

Answers

The total amount owed after three years is $2,837.04.

The formula that can be used to determine the total amount owed after 3 years is:

FV = A(1 + r/m)^nm

FV = Future value of debt A = amount borrowed  R = interest rate = 12/2 = 6% m = number of compounding = 2  N = number of years = 3

$2000 x (1.06)^6 = $2,837.04

To learn more about future value, please check: https://brainly.com/question/18760477

PLEASE HELP I BEG IMMA FAILLLLLLLLL

An isosceles triangle has two sides that measure 5.6 in. and a side that measures 4.2 in. If the triangle is enlarged such that the two sides measure 20 in, what is the length of the third side?

Answers

Answer:

15

Step-by-step explanation:

If the bigger triangle has the two congruent sides measuring 20, then the ratio of the bigger to the smaller is 20/5.6 This means that the ratio between the third side of the bigger to the third side of the smaller is 20/5.6

Setting a ratio:

20/5.6=x/4.2

Cross multiplying: 84=5.6x

x = 84/5.6  -->12/0.8 --> 15

x = 15

I WILL GIVE BRAINLYEST IF YOU GIVE CORRECT ANSWER Solve for x:


A.
B.
C.
D.

Answers

Answer:

C

Step-by-step explanation:

The answer is C thank you

what times what will give 540

Answers

2x270=540 there for this is right !

Answer:

There are many:

10*54

5*108

2*270

4*135

And more

Step-by-step explanation:

2, 5, 2, 3, 3, 3

These are the multiplies of 540 you can just multiply and they always get you the same solution: 540

Hope this helps!

how i can answer questions

Answers

Answer:yes

Step-by-step explanation:press answerr

I need help with this

Answers

Answer:

Slope: Greater for Function A

Y-intercept: Same for both

Step-by-step explanation:

Slope: The easier way would be to just graph where we get a slope of -6 for Function A and a slope of -4 for Function B. Making Function A to have a greater slope

Y-intercept: Easy, we know x=0 in the y-intercept. They both have (0,3) where x=0 meaning both their intercepts are equal

Hope this helps :)

Answer:

The slope is greater for function A and the y-intercepts are the same.

Step-by-step explanation:

The slope for function A :

= (3-0) / (0 - (0.5)

= 3 / -0.5

= -6.

The y-intercept occurs when x = 0 so:

So the y-intercept is at (0,3)

The slope for function B :

= (3-7) / (0 - (-1)

= -4.

The y-intercept occurs when x = 0 so:

So the y-intercept is at (0,3)

4. Harry is going to send some flowers to his wife. Summerfield Florist charges $1 per rose, plus
$39 for the vase. Grayson’s Flowers, in contrast, charges $3 per rose and $15 for the vase. If
Harry orders the bouquet with a certain number of roses, the cost will be the same with either
flower shop. How many roses would there be? What would the total cost be?

Answers

The number of roses purchased will be; 12 roses

The total cost of the bouquet is; $51

Let number of roses be x

For Summerfield florists;

At $1 per rose and $39 for the vase, cost is;

C = x + 39

For grayson's flowers;

At $3 per rose and $15 for the vase,total cost is;

C = 3x + 15

We are told when he orders a certain number of roses, the cost will be the same with each flower shop.

Thus;

x + 39 = 3x + 15

3x - x = 39 - 15

2x = 24

x = 24/2

x = 12

Total cost is;

C = 12 + 39

C = $51

Read more about cost functions at; https://brainly.com/question/19300938

when we simplify (ab + 3c)^2 we get

Answers

Answer:

a^2b^2+6abx+9c^2

Step-by-step explanation:

(a + b)2 = a2 + 2ab + b2

(ab+3c)^2=(ab)^2+2ab*3c+(3c)^2

Hey there!

(ab + 3c)^2

= (ab + 3c)(ab + 3c)

DISTRIBUTE

= ab(ab) + ab(3c) + 3c(ab) + 3c(3c)

= a^2 b^2 + 3abc + 3abc + 9c^2

COMBINE the LIKE TERMS

= a^2 b^2 + 6abc + 9c^2

Therefore, your answer is:

a^2 b^2 + 6abc + 9c^2

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

How was
Figure A transformed
to become Figure A"?
A"
}
1.[
?
]
2.[
1
Dilate
Reflect

Answers

Answer:

reflect

Step-by-step explanation:

dilate means bigger or smaller than the original.

Eli is now one quarter of his father’s age. In 5 years’ time his age will be one third of
his father’s age. How old is Eli now?

Answers

Answer:

10

Step-by-step explanation:

This is because 10×4=40

10+5=15

40+5=45

45/15=3

Answer:

Step-by-step explanation:

Let E and F represent Eli and his Father's current ages.

We are told that E = (1/4)F.  ["Eli is now one quarter of his father’s age"]

But in 5 years, that will be:

(E+5) = (1/3)(F+5)       ["In 5 years’ time his age will be one third of

his father’s age"]

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

We have two equations and two unknowns.  Find a way to eliminate one of the two variables and then solve for the remaining variable.

E = (1/4)F

(E+5) = (1/3)(F+5)

It seems to me the easiest would be to use the first equation's definition of E [=(1/4)F] in the second equation:

(E+5) = (1/3)(F+5)

((1/4)F+5) = (1/3)(F+5)

(1/4)F - (1/3)F = (1/3)*5 - 5

F - (4/3)F = (4/3)*5 - 20

-(1/3)F = (20/3) - (60/3)

-(1/3)F = (-40/3)

F = (120/3)

F = 40 years

E = 10 years  (based on E = (1/4)F)

====

In five years:  F is 45 and E is 15, which would make Eli  1/3 of his father's age in 5 years.

What is the coefficient in this expression? (34mn)


34

3

n

4

Answers

34
have a good day :]

The coefficient in this expression is 34.

The first option is the correct answer.

What are variables and coefficients?

The variable can have any value. That is, you can change the value of the variable. The value of the coefficient does not change, but changes in the value of the variable can change the value of the term containing the variable and the coefficient.

In formulas, coefficients are constants that are multiplied by variables. Consider the following equation: 3 x 2 + 5x-3 = 0. ax3 + x 2 = z. The values ​​3 and 5 in the first equation are the coefficients of the variable x.

Learn more about coefficient of expression here https://brainly.com/question/525935

#SPJ2

pls answer quickly

which customary unit would be most appropriate to weigh an Apple

A) metric tons

B) tons

C) ounces

D) kilograms​

Answers

Answer:

Ounces

Step-by-step explanation:

Metric tons and tons is too much while kg is too little.

Answer:

its ounces

Step-by-step explanation:

Please help me due in 2 mins!!! Use the picture below to help you answer the question!!!

Answers

Answer: 2952 is what they both equal

Step-by-step explanation: 2*(6)4

Karen's mother gets a restaurant bill for $25 she has a coupon for 15% off after the discount is applied she adds 20% as a tip what is the total after the discount and tax

Answers

$25.50

step by step explanation: 15% means u can multiply it by .85

so .85x25
= $21.25

the next step is to find the tip

to do this you do

$21.25+ (21.25x .2)

final: $25.50

hope this helps

Answer:

$25.50

Step-by-step explanation:

with a 15% off coupon she is paying 85% of the $25 bill, which is:

.85 x 25 = 21.25

if she adds a 20% tip on 21.25 then we can do the following:

1.2 x 21.25 to get the total after the discount and with tax:

$25.50



Solve 7 ax + 8 ax = 9 ax + 6 for x. Assume a + 0.

Answers

Your answer would be B (1/a)

SOMEONE HELP ON QUESTION #13 pleasseeee

Answers

Answer:

You would have to do 51 - 16 to find out the total amount of money Vicky spent on scented soaps. 51 - 16 = $35. You then divide by the number of items. In this case, it is 10 scented soaps. 35/10=3.5. She spent $3.50 on each soap.

Step-by-step explanation:

Hope this helps!

Brainliest please!

[tex]\sf -9(8-2h)[/tex]

Answers

Answer:

[tex] - 9(8 - 2h) \\ by \: distributive \: property \\ = - 9 \times 8 - ( - 9) \times ( - 2h) \\ = - 72 - 18h[/tex]

Answer:

[tex]-72+18h[/tex]

Step-by-step explanation:

[tex]-9(8-2h)[/tex]

[tex]\mathrm{Multiply}-9\:\mathrm{to\:the\:values\:in\:the\:parenthesis}[/tex]

[tex]-9(8-2h)[/tex]

[tex]-9\cdot8=-72[/tex]

[tex]-9\cdot-2=18[/tex]

[tex]=-72+18h[/tex]

Greg has only nickels and dimes in his money box. He knows that he has more than $10 in the box. Let x represent the number of nickels in the box and y represent the number of dimes in the box. Which of the following statements best describes the steps to graph the solution to the inequality in x and y? (5 points)

a
Draw a dashed line to represent the graph of 5x + 10y = 1000, and shade the portion below the line for positive values of x and y.

b
Draw a dashed line to represent the graph of 5x + 10y = 1000, and shade the portion above the line for positive values of x and y.

c
Draw a dashed line to represent the graph of 10x + 5y = 1000, and shade the portion above the line for positive values of x and y.

d
Draw a dashed line to represent the graph of 10x + 5y = 1000, and shade the portion below the line for positive values of x and y.

Answers

Answer: Draw a dashed line to represent the graph of , and shade the portion above the line for positive values of x and y

Step-by-step explanation: Let

x------> the number of nickels in the box

y------->the number of dimes in the box

we know that

so

Multiply by  both sides

-----> inequality that represent the situation

The solution of the inequality is the shaded area above the dashed line for positive values of x and y

The equation of the dashed line is

therefore

the answer is

Draw a dashed line to represent the graph of , and shade the portion above the line for positive values of x and y

Someone help pls and explain it if you can pls

Answers

the answer is: y = 3x + 1

P/s: i can't see the picture clearly but the answer is not A or C

ok done. Thank to me :>

14. Write an equation for the line parallel to the given line that contains C.
C(3,8); y = - 4x + 1

Answers

Answer:

The answer should be y= -4x + 20.

Which variable expression represents the following word phrases?
6 more than four times a number

A: 4n-6
B: 6-4n
C: 6+4n
D: 6>4n

Answers

Answer:

6+4n

Step-by-step explanation:

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