Solve the system of equations by the substitution method.
y = 5x + 6
y=9x+7.

Answers

Answer 1

Answer:

(-1/4, 19/4)

Step-by-step explanation:

5x+6=9x+7

-4x=1

x= -1/4

y=5(-1/4) +6

y=19/4


Related Questions

Lines a and b are perpendicular. The slope of the line is given. What is the slope of line b?
3/4

Answers

Answer:

-4/3

Step-by-step explanation:

If the slope of line a is 3/4, then the slope of line b will be -4/3.

(Question 1) Which mathematical property is shown by the statement?

If 43 = y, then y = 43.


A) transitive property


B) symmetric property


C) reflexive property


D) associative property of addition


(Question 2) Which mathematical property is shown by the statement?

(4y⋅9)⋅7=4y⋅(9⋅7)

associative property of addition


associative property of multiplication


commutative property of addition


commutative property of multiplication


(Question 3) Which statement is true for the set of natural numbers?


The set is closed under addition and closed under subtraction.


The set is not closed under addition and closed under subtraction.


The set is closed under addition and not closed under subtraction.


The set is not closed under addition and not closed under subtraction.

Answers

Answer:

1. symmetric property

2. associative property of multiplication

3. The set is closed under addition and not closed under subtraction

Step-by-step explanation:

After comparing the Legend and the Supreme,Victor saw an advertisement for a third vehicle,the Lunar.The manager said that the Lunar can travel about 289 miles on a tank of gas.If the gas tank can hold 17 gallons of gas,is the Lunar Victor's best option

Answers

Given :

Lunar can travel about 289 miles on a tank of gas.If the gas tank can hold 17 gallons of gas.

To Find :

Is the Lunar Victor's best option.

Solution :

Number of miles Lunar travel per gallon is :

[tex]N = \dfrac{289\ miles}{17 \ gallon}\\\\N=17 \ miles/gallon[/tex]

We know, miles travelled per gallon is given by 18 miles/gallon.

Therefore, The Legend is still the best option.

The bottom one please (image attached)

Answers

Answer:

The solution is: b=50

Step-by-step explanation:

7b+29=379

7b=350

b=50

If it's wrong I'm sorry I'm just going around answering questions for fun!

Hope this helped even the slightest! Gl!

Please mark brainliest!

what is the factor of 6a2 – 19a + 10 ???

Answers

Answer:

(2a - 5) • (3a - 2)

step by step explanation:

Step-1 : Multiply the coefficient of the first term by the constant 6 • 10 = 60

Step-2 : Find two factors of 60 whose sum equals the coefficient of the middle term, which is -19 .

-60 + -1 = -61

-30 + -2 = -32

-20 + -3 = -23

-15 + -4 = -19 That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -15 and -4

6a2 - 15a - 4a - 10

Step-4 : Add up the first 2 terms, pulling out like factors :

3a • (2a-5)

Add up the last 2 terms, pulling out common factors :

2 • (2a-5)

Step-5 : Add up the four terms of step 4 :

(3a-2) • (2a-5)

Which is the desired factorization

Final result :

(2a - 5) • (3a - 2)

Answer:

(2a-5) (3a-2) is your correct answer.

thank you ☺️☺️

What is the y-intercept of the equation y=3/4x-1

Answers

Answer:

y-intercept for this equation is -1.

The y inception is -1

Which number is equivalent to (1/3)-4

Answers

Answer:

-3.6 repeated.

Step-by-step explanation:

( 1 / 3 ) - 4 = -3.6666666666666 (6 repeated)

The equivalent number is -3.6667

What is expression?

An expression in math is a sentence with a minimum of two numbers/variables and at least one math operation in it.  A number is 6 more than half the other number, and the other number is x. This statement is written as x/2 + 6 in a mathematical expression. Mathematical expressions are used to solve complicated puzzles.

Expression Definition in Math

An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division. The terms involved in an expression in math are:

Constant: A constant is a fixed numerical value.Variable: A variable is a symbol that doesn't have a fixed value.Term: A term can be a single constant, a single variable, or a combination of a variable and a constant combined with multiplication or division.Coefficient: A coefficient is a number that is multiplied by a variable in an expression.

Given:

(1/3)-4

Take LCM

1/3 - 4*3/1*3

=1/3 - 12-3

=-11/3

=-3.6666

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How many solutions does 1=1 have

Answers

Answer:

infinite

Step-by-step explanation:

because this 1=1 is true, there are infinite solutions

Answer:

Since both sides are equal,there are infinitely many solutions.

Step-by-step explanation:

find the gradient of the line segment between the points (0,3) and (1,8)

Answers

The gradient of the line segment between the points (0,3) and (1,8) is : 5

What is gradient?

Gradient is the ratio of the increase or decrease in the y-coordinates to the increase ore decrease in the x-coordinates of points that form a line segment.

Analysis:

x1 = 0, x2 = 1, y1 = 3, y2 = 8,

Gradient(M) = [tex]\frac{y2 - y1}{x2 - x1}[/tex]

                        = [tex]\frac{8 - 3}{1 - 0}[/tex] = 5/1 = 5

In conclusion, the gradient of the given points (0,3) and (1,8) is : 5

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Answer:

Step-by-step explanation:

difference in x = 1

difference in y= 5

5 divided by 1 = 5

gradient= 5

Please answer as soon as possible. Please make sure to explain your answer.
Thank you.

What is the slope of the line shown?

Answers

Answer:

The slope is y=-x

Step-by-step explanation:

Rise over run. Pick 2 points, then count the distance that is rose(can be neg) then the distance that it went horizontally. Put into a fraction form.

Rakim charges $2 per hour for tutoring plus a $7 fee.
Joan charges a $3 fee plus $4 per hour.
When will their tutoring fees be the same (aka equal)
How many hours of tutoring will occur before the fees are the same?
How much has each person been paid in tutoring fees?

Answers

Answer:

after 2 hours, they will have the same fee.

they will have been payed 11$

Step-by-step explanation:

if you say  h = hours of tutoring,

Rakim charges 7 + 2h

Joan charges 3 + 4h

since you want them to be the same, you can write the following equation:

7 + 2h = 3 + 4h

subtract 2h from each side

7 = 3 + 2h

subtract 3 from each side

4 = 2h

divide both sides by 2.

h = 2

after 2 hours, they will have the same fee.

they will have been payed 11$

"they will have been payed" ah yes the grammar.

Round 56,650,243 to the nearest ten million

Answers

Answer:

57,000,000

Step-by-step explanation:

57,000,000

Answer: 57,000,000

Explanation:

Last years phone model had a
battery that lasted 15 hours. This year
the battery only last for 7.5 hours.
What was the percent the battery life
decreased?

Answers

It decreased by 1/2 which is a half

Answer:

probably It decreased by 1/2 which is a half

Step-by-step explanation:

Help I will name u a brainlist

Answers

It’s the first one because of you put both angles side to side it makes a 180° degree angle

The first one is the the correct answer because the angles have a sum of 180 degrees.

Hope that helps you!!

find the missing number 87(M)
= 28.71

Answers

The missing number for M is 0.33

the equations above define w and z in terms of a. What is 2wz in terms of a?
w=a+2
z=a

Answers

Answer:  2a^2 + 4a

Work Shown:

2wz = 2*(w)*(z)

2wz = 2*(a+2)*(z) .... replace w with a+2

2wz = 2*(a+2)*(a) ... replace z with a

2wz = 2a(a+2)

2wz = 2a(a) + 2a(2) .... distribute

2wz = 2a^2 + 4a

The value of 2wz in terms of a is equal to [tex]2wz=2a^{2} +4a[/tex]

To understand more, check explanation below.

Linear equation:

The equation is given as,

                  w = a +2    and z = a

We have to find  2wz.

            [tex]2wz=2*w*z\\\\2wz=2*(a+2)*a\\\\2wz=2(a^{2}+2a )\\\\2wz=2a^{2} +4a[/tex]

The value of 2wz in terms of a is equal to [tex]2wz=2a^{2} +4a[/tex]

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A recipe for brownies calls for 3/4 cups of sugar Skyler has a bag that contains 9 1/2 cups of sugar exactly how many batches of Brownies can Schuyler make with one bag of sugar express your answer as a mixed number.

Answers

Answer:

okkk

Step-by-step explanation:

please pass this on... ( #helpsavelives )

Who ever is reading this:

I love u.

U matter.

The world needs u

hang in there ik it may be bad but u deserve the world <3

ur beautiful no matter ur shape, size, color, gender.. anything

don't give up i need u to live.

i wish i could take everyones problems so yall wouldn't have to have em but i cant so just know ily and if anyone needs to talk u can talk to me

Pls pass this on. Everyone deserves to know this. ♥️♥️

just copy and paste its not hard pls this could save someones life

Answer: She can make 12 batches of brownies. There is a slight remainder, but think about it like this, if you only had a spoon full of sugar left, do you think you could make an entire batch of brownies? No. So if you see problems like this, the whole number should be the answer (unless asked otherwise).

Step-by-step explanation:  Since 3/4 is like 75 out of 100, the decimal form is .75 and we all know (or should know) that 1/2 can be put as .5. Whenever there's a whole number before the fraction, and you want to convert the fraction into a decimal, the whole number will go before the decimal. So after converting the fractions to decimals, the problem is 9.5 divided by .75 which is 12.6. Like I said before, that remainder .6 can't make an entire batch of brownies, so we just go with the whole number 12.

What is the coefficient of
the term of degree 6 in the
polynomial below?
3x^2 – 14x^6 + 6x^3 + 12x +
5x^5

Answers

Answer:

14

Step-by-step explanation:

The coefficient is the number before the degree. In this equation, it looks to be that the number before the 6th degree is 14.

The 150 Grade 7 students participated in school's Math Olympics. 64 students registered in Math Trail , 78 students registered in Amazing Race and 28 students registered in both Math Trail and Amazing Race. How many students registered in Math Trail only and in Amazing Race only? Are there students who did not registered in both events, how many?​

Answers

Answer:

Number of students registered in Math trail only and in Amazing Race only is 86.

Number of students who did not registered in both events = 36

Step-by-step explanation:

There are 150 students totally.

64 students registered in Math trail.

78 registered in Amazing race.

28 registered in both Math trail and Amazing Race.

We can make Venn diagram for this and answer the question.

I've attached the Venn diagram.

Using the diagram,

Number of students registered in Math trial only and in Amazing race only is 36+50= 86.

Number of students who did not registered in both events = (150-(36+28+50))=36

What is the slope of the line whose equation is 12=4x-6y?

Answers

Answer:

[tex]m=\frac{2}{3}[/tex]

Step-by-step explanation:

Isolate Y

12=4x-6y       Subtract 4x on both sides.

6y=-4x+12     Divide 6 on both sides.

[tex]y=\frac{4}{6}x+2[/tex]     Simplify the linear equation(y=mx+b)

[tex]y=\frac{2}{3}x+2[/tex]     Find m

m=[tex]\frac{2}{3}[/tex]

Which of the following expressions are equivalent to 8 4/5 + (3 2/10 - 1 1/5)

Answers

44/5+3 2/10- 1 1/5= 44/5 + 3 1/5 - 11/5 = 44/5+ 16/5- 1 1/5 44/5+16/5-6/5 44/5+2 54/5=54/5 which equals 10 4/5 is your answer I hope this helped you! (;

Answer:

B/D/E

Step-by-step explanation:

Please help me!! If f (x) = sinx/e^x, then f’ (x) =

Answers

Answer:

option B is the answer

Step-by-step explanation:

If you need explanation plz ask in the comments

Solve -1/6 (3x – 9) – 9= 3.

The solution is x=

Please explain

Answers

Answer:

x=23

Step-by-step explanation:

1/6 as a decimal is 0.16666667 but i rounded it to 0.2

so the equation is the 0.2(3x-9)-9=3

then i did 0.2 times 3x =0.6x

then 0.2 times -9= -1.8

so the equation now looks like this:

0.6x-1.8x-9=3

so i add 1.8 and 9 to 3 which gives you 13.8

then the equation looks like this:

0.6x=13.8

then you do 13.8 divided by 0.6 which equals 23.

hope this helps

tell me if i got it right or wrong

Which of the following is the complete list of roots for the polynomial function f (x) = (x squared + 6 x + 8) (x squared + 6 x + 13)?

Answers

[tex]( {x}^{2} + 6x + 8)( {x}^{2} + 6x + 13) =0 \\ [/tex]

_________________________________

[tex] {x}^{2} + 6x + 8 = 0 [/tex]

[tex](x + 2)(x + 4) = 0[/tex]

##############################

[tex]x + 2 = 0[/tex]

[tex]x = - 2[/tex]

##############################

[tex]x + 4 = 0[/tex]

[tex]x = - 4[/tex]

_________________________________

[tex] {x}^{2} + 6x + 13 = 0 [/tex]

[tex]∆ = {b}^{2} - 4ac [/tex]

[tex]a = coefficient \: \: of \: \: {x}^{2} = 1 [/tex]

[tex]b = coefficient \: \: of \: \: x = 6[/tex]

[tex]c = the \: \: alone \: \: number \: = 13 \\ [/tex]

Thus ;

[tex]∆ = ({6})^{2} - 4 \times (2) \times (13) [/tex]

[tex]∆ = 36 - 104[/tex]

[tex]∆ = - 68[/tex]

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

Point :

Remember from now on ,

In quadratic functions ;

if :

[tex]∆ > 0[/tex]

The function has two roots

if :

[tex]∆ = 0[/tex]

The function has just one root

if :

[tex]∆ < 0[/tex]

The function doesn't have any root.

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

Thus , ( + 6x + 13 ) doesn't have any root.

So ; ( x = - 2 ) & ( x = - 4 ) are the only roots.

_________________________________

And we're done....♥️♥️♥️♥️♥️

Answer:

c)-2,-4,-3+2i,-3-2i

Step-by-step explanation:

edge2020

Alicia is solving the equation 2.3 x minus 1.6 = 8.8 minus 2.9 x. Which equations represent possible ways to begin solving for x? Check all that apply.

Answers

Answer:

what are the options

Step-by-step explanation:

Answer: 1, 2, 5

Step-by-step explanation: I am doing the quiz, i know the answer choices

On a flight from New York to London, an airplane travels at a constant speed. An equation relating the distance traveled in miles, d, to the number of hours flying, t, is . How long will it take the airplane to travel 800 miles? Do not include units (hours) in your answer.

Answers

Answer:

Step-by-step explanation:

The question is incomplete. Here is the complete question

On a flight New York to London an airplane travels at a constant speed. An equation relating the distance traveled in miles d to the number of hours flying t is t= 1/500d. How long will it take the airplane to travel 800 miles?

Speed is the change in distance if a body with respect to time. It is expressed mathematically according to the question as t = 1/500 × d

To determine the time it will take to travel 800miles, we will substitute d = 800 into the modeled equation.

t = 1/500 × 800

t = 800/500

t = 8/5

t = 1.6

Triangle PQR has vertices P(0, 0), Q(3, 4), and R(3, 0). If triangle PQR is rotated 180° about the origin, what is the length of side P'Q'?

Answers

Answer:

The length of P'Q' is 4 units

The length of P'R' is 3 units

Step-by-step explanation:

If you rotate the figure 180° then the vertex would be R, and from P to Q is 3 units left and 4 units down

POINTS!! I NEED HELP WITH THIS, WILL GIVE BRAINLIEST TO BEST ANSWER

Answers

Answer:

p is True

q is False

p and q: False

p V q: True

~p and q: False

p and ~q: True

~p V ~q: True

Find the percentages: 33 1/3 % of 75

Answers

The answer is 25 because you divide 33.33 by 100 the times it by 75

The value of percent for 33 1/3% of 75 is 25.

What is mean by Percentage?

A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.

Given that;

The expression is,

⇒ 33 1/3% of 75

Solve for value as;

⇒ 100/3% × 75

⇒ 100/(3×100)  × 75

⇒ 75/3

⇒ 25

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Tell whether the table represents a proportional relationship. If it does, identify the constant of proportionality.

Answers

Answer:

well we cant tell you the specifics to the graph you need help with because we cant see it but we can help you understand where to look

Step-by-step explanation:

So its proportional if the line lies on a straight path going through the (0,0)

and to find the constant of proportionality you divided by the first number on the Y-axis my the first number on the X-axis

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