Which ordered pair is a solution to the system of equations?
y=4x
y= 3x + 2

Which Ordered Pair Is A Solution To The System Of Equations?y=4xy= 3x + 2

Answers

Answer 1
(2, 8) is the correct answer
Answer 2

The solution of the system of equations will be (2, 8).

What is substitution method?

To find the value of any one of the variables from one equation in terms of the other variable is called the substitution method.

Given that;

The system of equations are,

y = 4x

And, y = 3x + 2

Now,

Solve the linear equations as;

The system of equations are,

y = 4x      .... (i)

y = 3x + 2   .. (ii)

Substitute y = 4x in equation (ii) as;

y = 3x + 2

4x = 3x + 2

4x - 3x = 2

x = 2

And, y = 4x

y = 4 × 2

y = 8

Thus, The solution of the system of equations will be (2, 8).

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Related Questions

бу - 2y = 3y+2
i need help

Answers

Answer:

6y-2y=3y+2

4y=3y+2

4y-3y=2

1y=2

y=2

consider g(×)=5×-12. For what interval(s) is g(×) positive? negative?​

Answers

Answer:

negative

Step-by-step explanation:

Still can’t get this right please help

Answers

The answer is option 3

Answer:

D. y = (3/4)x + 10

Step-by-step explanation:

since it has to be in a formula of y = mx + b, it can't be a or b

y - 4 = 3/4 (x + 8)

y - 4 = (3/4)x + 6

y = (3/4)x + 10

y= 2x-1
3x-y=-1
Shouw ur work cuz im dumb and i need help plz

Answers

Answer:

ur not dumb but i think its b

Step-by-step explanation:

Plz help me out ASAP!!!!!!!

Answers

Answer:

Step-by-step explanation:

A: +2

B: +2

C: -25

D: x3

The measure of angle ABD IS 105° . The measure of angle ABC is 75°. What is the measure of CBD?

Answers

Answer:

30

Step-by-step explanation:

abc+cbd=105

abc=75

cbd=30

Answer:

105-75=30

Step-by-step explanation:

15% of what number is 24?

O A) 36

OB) 150

OC) 160

OD) 180​

Answers

Answer:

160

Step-by-step explanation:

We have, 15% × x = 24

or,

15

100

× x = 24

Multiplying both sides by 100 and dividing both sides by 15,

we have x = 24 ×

100

15

x = 160

If you are using a calculator, simply enter 24×100÷15, which will give you the answer.

Answer:

C) 160

Step-by-step explanation:

Let the number be x

15% of x = 15/100 * x

15/100 * x = 24

x = 24*100 / 15

x = 160

Which of the following ur mum

Answers

Answer:

lol thanks for the points

Step-by-step explanation:

Answer:

what does that mean

I've got free points...:D

Choose the ratio below that is equivalent to 4:3
A. 12:3
B. 8:3
C. 12:9
D. 3:4

Answers

The ratio equivalent to 4:3 is 12:9

Given:

Ratio = 4:3

To Find:

The ratio equivalent to 4:3

The given number which is in ratio is its simplest form.

Therefore in order to make it expanded form,First convert the given ratio into the fraction for its Multiplication.

Step 1: Convert to fraction

4:3 = 4/3

Step 2: Multiple the numerator and denominator of fraction by 3

4/3×3/3 = 12/9

Step 3: Convert the fraction into a ratio

12/9 = 12:9

Hence,the ratio equivalent to 4:3 is 12:9.

Option C. is correct

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Which equation has infinitely many solutions?
1. 12 + 4x = 6x + 10 – 2x
2. 5x + 14 – 4x = 23 + x – 9
3. X + 9 – 0.8x = 5.2x + 17 - 8
4. 4x – 2x = 20

Answers

the equation that has infinitely many solutions would be 3

If x=4 and 4x+9=y then (4(4)+9=y. This is an illustration of which property

Answers

Answer:

pretty sure commutative property lol

Step-by-step explanation:

Graph a line that contains the point (4,3) and has a slope of 1/2

Answers

Answer:

Equation is y = 1/2x + 1

Step-by-step explanation:

First off we know the slope, it is 1/2, so that is done already. Now we just need the y-intercept. In order to cross (4, 3), in needs to have a y-intercept of 1. So the equation is y = 1/2x + 1. I hope this helps, and I hope it's not wrong, but I don't think it is.

A one year gym membership costs $160. A registration fee of $28 is paid up front and the rest is paid monthly. Adding the variable. Let x =

Answers

Answer:

here's an example to help you out man Let n = how much each new member must pay each month.

$160 - $28 = $132

n = $132 ÷ 12 months in a year

n = $11

You can also look at it this way:

n = (160 - 28)/12

The area, a, of an ellipse can be determined using the formula a = πxy, where x and y are half the lengths of the largest and smallest diameters of the ellipse.

Which is an equivalent equation solved for y?

Answers

Answer:

y = a ÷ (πx)

Step-by-step explanation:

An equivalent equation solved for y is:

y = a/πx

What is an equation?

An equation is a pair of algebraic equations with the equal sign (=) in the middle and the same value.

The formula a = xy, where x and y are the halved lengths of the ellipse's biggest and smallest diameters, may be used to calculate the area, a, of an ellipse.

Starting from the formula a = πxy, we can rearrange it to solve for y:

a = πxy

Dividing both sides by πx, we get:

a/πx = y

y = a/πx

Therefore, an equivalent equation solved for y is:

y = a/πx.

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Exponential function f is represented by the table. x -2 -1 0 1 2 f(x) -46 -22 -10 -4 -1 Function g is represented by the equation. g(x)=-18(1/3)^x+2 Which statement correctly compares the two functions on the interval [-1, 2]? A. Only function f is increasing, but both functions are negative. B. Both functions are increasing, but function f increases at a faster average rate. C. Only function f is increasing, and only function f is negative. D. Both functions are increasing, but function g increases at a faster average rate.

Answers

Answer: I think it's D.

Step-by-step explanation:

I'm on the same thing and my best answer is Both functions are increasing, but function g increases at a faster average rate.

Both functions are increasing, but function g increases at a faster average rate.

x         f(x)

-2        -46

-1         -22

0         -10

1           -4

2          -1

What is an increasing function?

If the slope of a function is continuously increasing or constant in an interval, the function is known as an increasing function.

Let us assume [tex]f(x)=ab^x+c[/tex]

at x=0, f(0)=-10

So, [tex]-10=a+c[/tex]

Similarly, by satisfying the above table in the f(x)

[tex]f(x)=-\frac{33}{5} (\frac{1}{11} )^x-\frac{17}{5}[/tex]

[tex]f'(x) > 0[/tex]

So we can say that f(x) is an increasing function.

[tex]g(x)=-18(\frac{1}{3} )^x+2[/tex]

[tex]g'(x)=-18(\frac{1}{3} )^xln(\frac{1}{3} )[/tex]

[tex]ln\frac{1}{3} < 0[/tex]

So, [tex]g'(x) > 0[/tex]

So, g(x) is an increasing function.

For any x∈f(x) and  x∈g(x) [tex]g'(x) > f'(x)[/tex]

So, g increases at a faster average rate

Thus,  Both functions are increasing, but function g increases at a faster average rate.

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Solve for both and you'll get brainliest
List them as photo 1 and photo 2

Answers

Answer:

Photo 1: x=5 y=-2

Photo 2: x=11/5 y=4

Step-by-step explanation:

Photo 1-

2x + 3y = 4

              x = 2 − 3/2y

              y = 4/3 - 2/3x

2x + 3y = 4

              x = 2 - 3/2y

              y = 4/3 - 2/3x

Photo 2-

5x + 3y = 23

              x = 2 − 3/2y

              y = 4/3 − 2/3x

3y = 15x - 21

              x = y/5 + 7/5

              y = 5x − 7

             

Mary's car is 10 years old and has a problem. The repair man indicates that it will cost her $1200.00 to repair her car. She can purchase a different, more efficient car for $4,500.00. Her present car averages about $2,000.00 per year for gas while the new car would average about $1,500.00 per year. Find the number of years for when the total cost of repair would equal the total cost of replacement.

Answers

Answer:

6 years 6 months

Step-by-step explanation:

given data

let the number of year be x

le the total cost b y

for the older car

cost of repair $1200

cost of gas  $2,000.00  per year

the cost for using the old car is

y=1200+2000x-----------1

for the new car

cost of $4500

cost of gas  $1,500.00 per year

y=4500+1500x-----------2

equating 1 and 2 we have

1200+2000x=4500+1500x

solving for x

1200-4500=1500x-2000x

-3300=-500x

x=3300/500

x=6.6

The number of years is 6 years 6 months

Write an equation in slope-intercept form of the line with the given slope m and y-intercept b.
m= -2, b= 5
2,672
Enter the equation of the line in slope-intercept form.

Answers

Answer:

y = -2x + 52,672

Step-by-step explanation:

Slope intercept form is the same as y intercept form: y = mx + b.

The m is the slope and the b is the y intercept.

what is the value of x in the equation 1.5 x+9.1 -2.4=-2.4

Answers

Answer:

X = -9.1

Step-by-step explanation:

Add 9.1 and -2.4 together to get

x + 6.7 = -2.4

subtract 6.7 from both sides to get

x = -9.1

1002 - ______ =711 982 - _______= 405 2005 - ______= 970 610 x ____= 2240 ______ x 1000 = 250000 _______ x 4 = 8620 200 x _______ = 40000 ¿Qué NUMERO DIVIDIDO ENTRE 2 ES IGUAL A 8642? ¿Qué NUMERO DIVIDIDO ENTRE 3 ES IGUAL A 8643? ¿Qué NUMERO DIVIDIDO ENTRE 5 ES IGUAL A 9640? ¿Qué NUMERO DIVIDIDO ENTRE10 ES IGUAL A 6420? ¿Qué NUMERO DIVIDIDO ENTRE 20 ES IGUAL A 2000?

Answers

Answer:

1002 - 712984 =711 982 - 4763987= 405 2005 - ______= 970 610 x 0.00230782703 = 2240.

250 x 1000 = 250000

2155050 x 4 = 8620 200 x 0.00464026356 = 40000

Step-by-step explanation:

a) i) 1002 - ______ =711 982

= 1002- x = 711982

= 1002 - (-711982) = x

= 712984

ii) 711 982 - _______= 405 2005

711982 - x = 4052005

x = 711982 -(- 4052005)

x = 4763987

iii) 970 610 x ____= 2240

2240 ÷ 970610 = 0.00230782703

iv) ______ x 1000 = 250000

= 250000 ÷ 1000

= 250

v) _______ x 4 = 8620 200

8620200 ÷ 4 = 2155050

vi) 8620 200 x _______ = 40000

= 40000 ÷ 8620200

= 0.00464026356

b) ¿Qué NUMERO DIVIDIDO ENTRE 2 ES IGUAL A 8642?

x ÷ 2 = 8642

x = 8642 × 2

x = 17284

c) ¿Qué NUMERO DIVIDIDO ENTRE 3 ES IGUAL A 8643?

x ÷ 3 = 8643

x = 8643× 3

x = 25929

d) ¿Qué NUMERO DIVIDIDO ENTRE 5 ES IGUAL A 9640?

x ÷ 5 = 9640

= 9640 × 5

= 48200

e) ¿Qué NUMERO DIVIDIDO ENTRE10 ES IGUAL A 6420?

= x ÷ 5 = 6420

= x = 6420 × 5

= x = 32100

f) ¿Qué NUMERO DIVIDIDO ENTRE 20 ES IGUAL A 2000?

= x ÷ 20 = 2000

= x = 2000 × 20

x = 40000

Hey guys please help mee

Answers

Answer:

29 and 18

Step-by-step explanation:

If when they say terms they mean numbers then in the first sequence it would be 29 terms and the second sequence would be 18 terms.

Answer:

1) 32, 36, 40, 44, 48, 52, 56, 60, 64, 68, 72, 76, 80, 84, 88, 92, 96, 100, 104, 108, 112, 116, 120, 124, 128

2) 50, 55, 60, 65, 70, 75, 80, 85, 90, 95, 100, 105, 110, 115

Step-by-step explanation:

1) Take 20-16 which gives you 4. Keep adding 4 until you get 128.

2) Count by 5 until 115

If A= arcsin(-4/5) in Quadrant IV and B=arctan(5/12) in Quadrant III, what is the values of tan(arcsin(-4/5)+arctan(5/12))? ASAP please...

Answers

Answer:

-33/56

Step-by-step explanation:

suppose: A,B are the 2 angles of a triangle

we have: A = arcsin[tex]\frac{-4}{5}[/tex]

               B = arctan [tex]\frac{5}{12}[/tex]

=> sin A = [tex]\frac{-4}{5}[/tex] => cos A = [tex]\sqrt{1-\frac{(-4)^{2} }{5^{2} } } =\frac{3}{5}[/tex] (because A is in quadrant IV)

    tan B = [tex]\frac{5}{12}[/tex]

have:

[tex]1+ cot^{2}B=\frac{1}{sin^{2}B } => 1+\frac{1}{tan^{2} B}=\frac{1}{sin^{2}B } \\=> 1+\frac{1}{\frac{5^{2} }{12^{2} } } =\frac{1}{sin^{2}B }\\ => sin^{2}B=\frac{25}{169}[/tex]

because B is in quadrant III => [tex]sin B=-\sqrt{\frac{25}{169} }=\frac{-5}{13}=>cosB=-\sqrt{1-\frac{5^{2} }{13^{2} } }=\frac{-12}{13}[/tex]

tan(arcsin(-4/5)+arctan(5/12)) = tan( A + B)

but A,B are the 2 angles of a triangle => tan(A + B) = [tex]\frac{sin(A+B)}{cos(A+B)}[/tex]

have: sin(A+B) = sinA.cosB + cosA.sinB = [tex]\frac{-4}{5}.\frac{-12}{13} +\frac{3}{5}.\frac{-5}{13}=\frac{33}{65}[/tex]

cos(A + B) = cosA.cosB - sinA.sinB =[tex]\frac{3}{5}.\frac{-12}{13}-\frac{-4}{5}.\frac{-5}{13}=\frac{-56}{65}[/tex]

=> tan(A + B) = [tex]\frac{33}{65}:\frac{-56}{65}=\frac{-33}{56}[/tex]

Answer:

pie/6

Explaniation:

just took the test on k12

In Rebecca's kennel, 3/4 of the dogs are poodles. If 9/10 of the poodles are white, what fraction of the dogs in the kennel are white poodles?

Answers

Answer:

66/80 = 33/40

Step-by-step explanation:

I think this is right sorry if its not :)

66/80 30/40 that is that answer for that question ‍♀️

Plz I need all the help I can get!

Fill in the blanks to continue the patterns:

Answers

Answer:

look in step by step

Step-by-step explanation:

12, 15, 18, 21, 24, 27, 30, 33, etc.

you are increasing by 3

18, 24, 30, 36, 42, 48, 54, 60, 66, 72

you are increasing by 6

5, 9, 13, 17, 21, 25, 29, 33, 37

you are increasing by 4

32, 16, 8...    4, 2, 1

you are decreasing by half

Answer:

A, 12,15    B, 15,21    C, 5,17    D, 32,16

Step-by-step explanation:

for A the rule is count by 3s

for B the rule is add 3 but skip every 2nd number

for C the rule is add is add 4

for D the rule is divide 2

hope this helps :)

- by chance may I get brainliest

3 f(x)=(3x−5) 3 f, left parenthesis, x, right parenthesis, equals, left parenthesis, 3, x, minus, 5, right parenthesis, cubed h ( x ) = 2 x 3 + 8 h(x)=2 3 x ​ +8h, left parenthesis, x, right parenthesis, equals, 2, cube root of, x, end cube root, plus, 8 Write h ( f ( x ) ) h(f(x))h, left parenthesis, f, left parenthesis, x, right parenthesis, right parenthesis as an expression in terms of x xx. h ( f ( x ) ) = h(f(x))=h, left parenthesis, f, left parenthesis, x, right parenthesis, right parenthesis, equals

Answers

Answer:

[tex]h(f(x)) = 18x -22[/tex]

Step-by-step explanation:

Given

f (x) = [tex](3x-5)^3[/tex]

[tex]h(x) =2\sqrt[3]{3x} + 8[/tex]

We are to find the composite function [tex]h(f(x))[/tex]

[tex]h(f(x))[/tex][tex]= h ((3x-5)^3)[/tex]

To get [tex]h ((3x-5)^3)[/tex], we will substitute x as (3x-5)³ in h(x)as shown:

[tex]h(x) =2\sqrt[3]{3(3x-5)^3} + 8\\h(f(x)) =2(3(3x-5)+ 8\\h(f(x)) = 2(9x-15)+8\\h(f(x)) =18x-30+8\\h(f(x)) = 18x - 22[/tex]

Bailey has 45 minutes to exercise. It takes Bailey 3 minutes to jog around the track and 5 minutes to stretch. She jogs 6 laps around the track and stretches 2 times. Write and evaluate an algebraic expression to find the amount of time Bailey has left. Use j for the number of laps she jogs and s for the number of times she stretches.

Answers

Answer:

a) Time left = [45 - (3j + 5s)] minutes

b) 17 minutes

Step-by-step explanation:

a) Using j for the number of laps she jogs and s for the number of times she stretches. Since Bailey has a total of 45 minutes to complete his exercise, then;

Time left = [45 - (3j + 5s)] minutes

If she jogs 6 laps and stretches 2 times , then;

Time left = [45 - (3j + 5s)]

b) Where j = 6 and s = 2,

Time left = 45 - (3(6) + 5(2))

              = 45 - (18 + 10)

              = 45 - 28

              = 17

Amount of time Bailey has left is 17 minutes.

Ms. Kent wants her students to learn more about the size of the Statue of Liberty. She brings in a scale model of the statue to show the class.


Ms. Kent says that every 2 inches on the model represents 25 feet on the actual statue.

What is the height of the actual Statue of Liberty, in feet, from the tip of the torch to the bottom of the pedestal? Show your work.

Answers

Answer:

27 inces will be the answer

Step-by-step explanation:

What are these expressions like in words and numbers please answer if you know simple

Answers

1.) 4(x-7)
The difference = subtraction; put what comes after the multiplication( or whatever type of math) in parenthesis if you’re multiplying by another equation (ex. 5(2-5) )
2.) 4x-7
Less than= subtraction
3.) 4x+7
Sum=addition
4.) 7-4x
Minus= subtraction , times= multiplication

Hope this helps!

Math Help
Thanks
Brainlest will be awarded

Answers

Answer:

x=24

Step-by-step explanation:

you reduce the numbers making it 1/7 multiplied by 7x = 24, x will end up being 24

Pat's chickens lay between 18 and 25 eggs per week. Pat eats 2 eggs per day and feeds the remaining

eggs to his dogs.

Complete the inequality which best describes the number of eggs (E) Pat's dogs eat per week.

Answers

Answer:

E = 16 ≤ x ≤ 23

Step-by-step explanation:

Number of eggs laid per week = between 18 and 25

Let x = exact number of eggs laid

Using inequality :

18 ≤ x ≤ 25

Number of eggs Pat eats = 2

18 - 2 ≤ x ≤ 25 - 2

Eggs left after pat eats 2 of the eggs :

16 ≤ x ≤ 23

Hence,

Eggs eaten by pat's dogs :

E = 16 ≤ x ≤ 23

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