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3 years ago

Solve. y = -3x + 6 y = 10x – 7

Mathematics

1 answer:

pickupchik [31]3 years ago

5 0

$y = -3x + 6\\
y = 10x - 7\\\\
-3x+6=10x-7\\
-13x=-13\\
x=1\\\\
y=10\cdot1-7\\
y=3\\\\
\boxed{x=1,y=3}

$

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Please help me- thank you

Kruka [31]

Answer:

a) The profit will be: $Profit=y^2-99500$

b) Since the profit is -9500 (negative) so, company will not gain any profit if they produce 300 bicycles.

Step-by-step explanation:

Cost of Bicycles= $y^2+10y+100,000$

Revenue generated = $2y^2+10y+500$

Find a polynomial that represent profits

The formula used for finding profit is:

$Profit = Total \ Revenue - Total \ Cost\\Profit= 2y^2+10y+500 - (y^2+10y+100,000)\\Profit= 2y^2+10y+500 - y^2-10y-100,000\\Profit=2y^2-y^2+10y-10y+500-100,000\\Profit=y^2-99500$

So, the profit will be: $Profit=y^2-99500$

If the company can produce bicycles y= 300

The profit will be:

$Profit=y^2-99500\\Profit=(300)^2-99500\\Profit=90000-99500\\Profit=-9500$

Since the profit is -9500 (negative) so, company will not gain any profit if they produce 300 bicycles.

5 0

3 years ago

Use synthetic substitution to evaluate the polynomial P(x) = x^3-3x^2+4x-7 for x=3

Zina [86]

Answer:

$\frac{x^3-3x^2+4x-7}{x-3} =(x^2+4)+\frac{5}{x-3}$

Step-by-step explanation:

We are given polynomial as

$P(x)=x^3-3x^2+4x-7$

and it is divided by x=3 or x-3

we can use synthetic division

so, we got

Remainder =5

Quotient is

$=x^2+0x+4$

$=x^2+4$

we can write as

$\frac{x^3-3x^2+4x-7}{x-3} =(x^2+4)+\frac{5}{x-3}$

3 0

3 years ago

If right I’ll mark brainlest

zubka84 [21]

Answer:

154m^2

Step-by-step explanation:

I hope this helps.

4 0

3 years ago

The sum of three numbers is 10. Two times the second number minus the first number is equal to 12.

eimsori [14]

Answer:

-10,1,19

Step-by-step explanation:

x+y+z = 10 (Equation 1)

2y-x= 12 (Equation 2)

x-y+2z = 7 (Equation 3)

(Equation 2): -x = -2y+12

x = 2y-12 (Equation 4)

(Equation 1) - (Equation 3): 2y-z = 3

-z = -2y+3

z = 2y-3 (Equation 5)

Substitute (4) and (5) into (1)

x+y+z = 10

(2y-12)+y+(2y-3) = 10

5y-15 = 10

5y = 5

y=1

Substitute y=1 into (2)

2y-x= 12

2(1)-x= 12

2-x= 12

-x= 12-2

-x= 10

x= -10

Substitute y=1 and x=-10 into (1)

x+y+z = 10

-10+1+z = 10

z-9 = 10

z = 10+9

z = 19

Order: x = -10, y = 1, and z = 19

8 0

3 years ago

Read 2 more answers

PLEASE HELP ASAP!!!

ZanzabumX [31]

Answer:

should be 2 excluding the start (origin)

Step-by-step explanation:

3 0

3 years ago