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Vera_Pavlovna [14]
3 years ago
7

--8x+3y = 9 10x-3y = -15 Solve for system of equations

Mathematics
1 answer:
vovangra [49]3 years ago
7 0

Answer:

(-3,-5)

Step-by-step explanation:

2x=-6

x=-3

24+3y=9

3y=-15

y=-5

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Greg plans to purchase a bicycle. Bike A costs $270 and has an expected maintenance cost of $36 per year. Bike B costs $360 and
monitta

Answer:

<h2> Bike A costs $270 and has an expected maintenance cost of $36 per year.</h2><h2 /><h3>"Bike A is the better choice if Greg plans on owning the bike for 5 years. Bike B is the better choice if Greg plans on owning the bike for 6 years."</h3>

Step-by-step explanation:

270-36x

there are 5 years so x=5

270 + 36(5) = 270 + 180 = <u>450</u>  

If it were 6 years than x = 6

270 + 36(6) = 270 + 216 = <u>486</u>

Bike B:

360 + 20x

For option b x = 5

360 + 20(5) = 360 + 100 = 460

for option b it would be 6 years than x = 6

360 + 20(6) = 360 + 120 = <u>480</u>

<h3>Hope i helped!</h3>
5 0
3 years ago
6y - 9y - 4 = -2y - 2 Solve for y<br><br> Please give step-by-step answer and explaination.
Ivan
Step 1. Subtract the 6y-9y which will give you -3y-4
Step 2. Add 4 to both sides, which will give you -4y = -2y +2
Step 3. Add 2y to the other side, which will
Give you -2y = 2
Step 4. Divide both sides by -2, which will give you -1
8 0
3 years ago
Write the equation of a line that is
il63 [147K]

Answer:

Y= 3x-7

Step-by-step explanation:

Since the line is parallel , the slope is same i.e. 3 .

now the equation should be y= Mx + b where m is the slope and c is the y-intercept

plugging the value of m=3 and ( 3,2) into the equation

2= 3(3) + c

2= 9+ c

c= -7

hence the equation of the line is y=3x-7

8 0
3 years ago
Fill in the blank 2(x+7) = 2x + __
natka813 [3]

Answer:

14

Step-by-step explanation

3 0
3 years ago
Let f(x)=x^2-6x+13. what is the vertex form of f(x)? what is the minimum value of f(x)?
Oksana_A [137]

Answer:

The vertex form of a quadratic equation is:

f(x) = (x-3)^2+4

the minimum value of f(x) is y=4

Step-by-step explanation:

Given a quadratic equation of the form f (x) = ax ^ 2 + bx + c then the x coordinate of the vertex is

x=-\frac{b}{2a}

So for  f(x)=x^2-6x+13

a=1\\b=-6\\c=13\\

Therefore

The x coordinate of the vertex is:

x=-\frac{(-6)}{2(1)}

x=3

The y coordinate of the vertex is:

f(3)=(3)^2-6(3)+13

y=f(3)=4

By definition the minimum value of the quadratic function is the same as the coordinate of y of its vertex

So the minimum value  is y=4

The vertex form of a quadratic equation is:

f(x) = a(x-h)^2+k

Where

a is the main coefficient. a=1

h is the x coordinate of the vertex. h=3

k is the y coordinate of the vertex. k=4

So the vertex form of a quadratic equation is:

f(x) = (x-3)^2+4

4 0
3 years ago
Read 2 more answers
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