HELPP!!
Write a system of equations modeling the given conditions. Then solve the system by the substitution method and find the two numbers.
The difference between two numbers is 3. The sum of the larger number and twice the smaller number is 21. Find the numbers.

Answer:

(a) y = 4x - 15

(b) y = (-1/4)x + 2

Step-by-step explanation:

The slope-intercept equation form for a line is
y = mx + b

Here m is the slope (rise/run) and b is the y-intercept ie the y-value at which the line crosses the y axis at x = 0. Drawing a picture helps

If two lines have the same slope, they are parallel
If another line has slope -(1/m) then  it is perpendicular to the line with slope m

First convert the line equation into slope-intercept form as follows
8x - 2y = 1

Subtract 8x from both sides ==> -2y = 1- 8x
Multiply both sides by -1 ==> 2y = 8x - 1

Divide both sides by 2:
y = 4x - 1/2

Parallel line

y = 4x - 1/2

A parallel line should also have slope = 4

So it's equation will be of the form
y = 4x + b

To determine b, the y intercept, plug in values for x = 4, y =1 ad solve for b
1 = 4(4) + b ==> 1 = 16 + b ==> b = -15

So the equation of a line parallel to 8x - 2y = 1 passing through (4,1) is
y = 4x - 15   (Answer a)

Perpendicular Line

A perpendicular line to y = 4x - 1/2  should have the negative of the reciprocal of the slope
So the slope of the perpendicular line is -(1/4)

Equation is

y =  -(1/4)x  + b

Plug in the point values for (4, 1) to get
1 = - (1/4)(4) + b

1 = -1 + b

b = 2

So the equation of a line perpendicular to 8x - 2y = 1 passing through (4,1) is y = -(1/4)x + 2

Answer: 8

Step-by-step explanation: Add up the angles that do not include x.

Subtract 180 by 132, which equals 48.

7x-8=48
Remove -8 by adding 8 to 48.
7x=56
Divivde 7x by 7 on both sides
x=8

Answer:

17.50 + 5.75x

$34.75

Step-by-step explanation:

17.50 + 5.75x

17.50 + 5.75(3)

17.50 + 17.25

34.75

The required algebraic expression is $5.75x + $17.50 which it will cost Juan to rent the paddleboard for x hours.

Algebraic expressions are mathematical statements with a minimum of two terms containing variables or numbers.

We have been given that Juan rented a paddleboard for $5.75 per hour plus a $17.50 fee.

Let x represents the number of hours

According to the given question,

The algebraic expression would be as:

⇒ $5.75 × x + $17.50

⇒ $5.75x + $17.50  ....(i)

Now we have to evaluate the expression for 3 hours.

Substitute the value of x = 3 in the above expression model (i), and we get

⇒ $5.75 × 3 + $17.50

⇒ $17.25 + $17.50

⇒ $34.75

Thus, the required algebraic expression is $5.75x + $17.50

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[tex]~~~~~~~~~~~~\textit{distance between 2 points} \\\\ (\stackrel{x_1}{-8}~,~\stackrel{y_1}{-2})\qquad (\stackrel{x_2}{6}~,~\stackrel{y_2}{-1})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ d=\sqrt{(~~6 - (-8)~~)^2 + (~~-1 - (-2)~~)^2} \implies d=\sqrt{(6 +8)^2 + (-1 +2)^2} \\\\\\ d=\sqrt{( 14 )^2 + ( 1 )^2} \implies d=\sqrt{ 196 + 1 } \implies d=\sqrt{ 197 }[/tex]

Answer:

x=125

Step-by-step explanation:

Answer:

the second option.

[tex]-3\leq x\leq 0[/tex]

Step-by-step explanation:

Answer:

the answer is 5

Step-by-step explanation:

Number Rounded to Nearest Whole Number

4.645 5

5.645 6

6.645 7

7.645 8

8.645 9

9.645 10

10.645 11

11.645 12

12.645 13

13.645 14

Answer:

for what reason? lol

Step-by-step explanation:

Answer:

The graph you have is wrong. This is the right graph.

Hope this helps! Have a nice day, good luck, and stay safe!

Answer:

me

Step-by-step explanation:

Answer:

12because of something ask a tutor

I don't know

Answer:

x = 4/7

y = 60/7

Step-by-step explanation:

3x + 4y = 36

y = x + 8

Substitute the second equation into the first since it already has the y isolated for you:

3x + 4(x + 8) = 36

3x + 4x + 32 = 36

7x = 4

x = 4/7

Take the answer you got from the equation above and plug that into the second equation:

y = 4/7 + 8

y = 60/7

To check just LS/RS both equations:

3(4/7) + 4(60/7) = 36

12/7 = 240/7 = 36

252/7 = 36

36 = 36

LS = RS

60/7 = 4/7 + 8

60/7 = 60/7

LS = RS

[tex]xy-3x^2+2x[/tex]

Factor by pulling out the x-term.

[tex]x(y-3x+2)[/tex]

Arrange as we get -

[tex]x(-3x+y+2)[/tex]       ----------> Answer

Answer:

1/3

Step-by-step explanation:

11/18 - 4/9 + 1/6

= 1/6 + 1/6

= 1/3

The value of the fraction is 1/3.

PEMDAS rule is the same as BODMAS rule.

PEMDAS is the abbreviation for Parenthesis, Exponents, Multiplication, Division, Addition and Subtraction.

Given fraction is : (11/18 - 4/9) + 1/6

We have a parenthesis (brackets) in the given expression. First solve the operations inside the bracket.

And multiply the fraction 4/9 with 2 on both numerator and denominator.

(11/18 - 4/9) + 1/6 = (11/18 - 8/18) + 1/6

                           = 3/18 + 1/6

There is only an operation of addition left.

Multiplying both numerator and denominator of 1/6 with 3,

(11/18 - 4/9) + 1/6 = 3/18 + 3/18

                           = 6/18

                           = 1/3

Hence the value of the fractional expression given is 1/3.

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Answer:

y = [tex]-\frac{6}{5}[/tex]x - 2

Step-by-step explanation:

Slope-Intercept Form: y = mx + b

Points: (5, -8), (-5, 4)

Slope: [tex]-\frac{6}{5}[/tex]

y = [tex]-\frac{6}{5}[/tex]x + b

-8 = [tex]-\frac{6}{5}[/tex] ( 5 ) + b

b = -2

y = [tex]-\frac{6}{5}[/tex]x - 2

Answer:

20 x 3 > x

Step-by-step explanation:

x is the price of the skirt in the second part

Answer:

JL = 70

Step-by-step explanation:

Adjusted gross income minus any allowable tax deductions, describes the taxable income.

The term taxable income refers to any gross income earned that is used to calculate the amount of tax you owe. Put simply, it is your adjusted gross income less any deductions. This includes any wages, tips, salaries, and bonuses from employers. Investment and unearned income are also included.

To determine the taxable income we use :

Taxable Income = Gross Sales – Cost of Goods Sold – Operating Expense – Interest Expense – Tax Deduction/ Credit.

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Answer:

1st choice

Step-by-step explanation:

$8.75 for each bag which means 8.75x

plus a fee of $18.50 which means + 18.50

Answer:

10 hours.

Step-by-step explanation:

7 + 3 = 10.

Answer:

QT= 12

Step-by-step explanation:

In the math RS=QR because R is the mainpoint of Qs

here given

RT=10 , RS=2, QR=2 BECAUSE {RS=QR} AND QR+RS=4=QS

NOW

RT-RS= 10-2=8=ST

SO THE ANSWER IS

ST+QS=8+4=12

Answer:

[tex] 12[/tex]

Step-by-step explanation:

[tex]hope \: it \: helps \\pls \: mark \: as \: brainliest.....[/tex]

Answer:

10+10x

Step-by-step explanation:

(6+3x)-(-4-7x)=

6+3y+4+7x=

10+10x

Answer:

10x+10

brainlest

Step-by-step explanation:

(6 + 3x) - (-4 - 7x

Answer:

Step-by-step explanation:

The upper bound is the highest number that a figure can be to be rounded off to the rounded figure.

The lower bound is the lowest number that a figure can be to be rounded odd to the rounded figure.

The lower bound of 860 to the nearest 10 is;

= 855 kg

855 is the lowest figure that can be rounded up to 860.

The Upper bound is;

= 865

865 is the highest figure because no figure above this can be rounded to 860.

855 kg ≤ 860 kg < 865 kg