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BartSMP [9]
1 year ago
12

X = 2y-2 4x-9 = 11 Step by step please

Mathematics
1 answer:
Alex787 [66]1 year ago
4 0
Answer x=5, y= 3.5

Find y by plugging the x value into the 2nd equation
4(2y-2) -9=11
8y - 8 - 9 =11 combine like terms
8y = 28 divide both sides by 8
y = 3.5

Now find x
Plug your y value into first equation
X = 2(3.5) -2
X= 7-2
X=5

You can check your work by putting your x or y values into the equations

For the first equation
5=2(3.5) -2
5=5

For the second equation
4(5) -9 = 11
20 - 9 = 11
11 =11

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Afina-wow [57]

Answer:

25%

Step-by-step explanation:

customer paid = 9492

less vat (13%) .net =8400

discount =16%==marked price = 8400X 100/84==10,000

profit on sale =5% .  cost :=8000

% on cost   (2000/ 8000) X100 =25%

3 0
2 years ago
How do you find the equation for the line that is parallel to the line y=2/3x-7 and passes through the point (3,-1)
Debora [2.8K]

parallel lines have the same exact slope hmmm what's the slope of y = 2/3x-7 anyway? well, low and behold, is already in slope-intercept form, therefore

\bf \stackrel{\textit{slope-intercept form}}{y=\stackrel{slope}{\cfrac{2}{3}}x-7}.


so we're really looking for the equation of a line whose slope is 2/3, and runs through 3, -1.


\bf (\stackrel{x_1}{3}~,~\stackrel{y_1}{-1})~\hspace{7em} slope =  m\implies \cfrac{2}{3} \\\\\\ \stackrel{\textit{point-slope form}}{y- y_1= m(x- x_1)}\implies y-(-1)=\cfrac{2}{3}(x-3) \\\\\\ y+1=\cfrac{2}{3}x-2\implies y=\cfrac{2}{3}x-3

3 0
3 years ago
P(x) is a polynomial with integer coefficients and p(-3) = 0.
natka813 [3]

Answer:

x + 3 is a factor of the polynomial.

Step-by-step explanation:

We have been given that p(x) is a polynomial with integer coefficient.

Also p(-3)=0

Since, p(-3) =0, hence, we can say that -3 is a zero of the polynomial.

Now, we apply factor theorem.

Factor Theorem: If 'a' is a zero of a function f(x) then (x-a) must be a factor of the function f(x).

Applying this theorem, we can say that (x+3) must be a factor of the polynomial.

Hence, first statement must be true.

5 0
3 years ago
Read 2 more answers
an automobile 16 feet long overtakes a truck that is 28 feet long and is traveling 30 mph. At what rate must the automobile trav
Oduvanchick [21]
<h2>Automobile must travel at 96 mph to pass the truck in 4 seconds.</h2>

Step-by-step explanation:

Length of  automobile = 16 feet = 4.88 m

Length of truck = 28 feet = 8.53 m

Speed of truck = 30 mph = 48 km/h = 13.33 m/s

Time in which automobile to pass truck = 4 s

Distance traveled by truck in 4 seconds = 4 x 13.33 = 53.33 m

Distance which need to cover by automobile in 4 seconds to pass truck is the sum of length of  automobile, length of truck and distance traveled by truck in 4 seconds.

Distance which need to cover by automobile in 4 seconds = 4.88 + 8.53 + 53.33

Distance which need to cover by automobile in 4 seconds = 66.74 m

Distance = Speed x Time

66.74 = Speed x 4

Speed = 16.69 m/s = 60 km/h = 96 mph

Automobile must travel at 96 mph to pass the truck in 4 seconds.

8 0
2 years ago
What is the difference of income tax, pay roll tax,sales tax, property tax
gayaneshka [121]

Answer:

Income tax refers to money the company owes based on its earnings. Sales tax refers to money the company collects from customers and sends to the state tax collector. Payroll taxes refer to money the company owes based on the wages it pays its employees.

Step-by-step explanation:

8 0
3 years ago
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