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4 years ago

Solve for y: 11-1/2y=3+6x

2 answers:

7 0

$11-\dfrac{1}{2}y=3+6x\ \ \ \ \ |subtract\ 11\ from\ both\ sides\\\\-\dfrac{1}{2}y=-8+6x\ \ \ \ \ |change\ signs\\\\\dfrac{1}{2}y=8-6x\ \ \ \ \ |multiply\ both\ sides\ by\ 2\\\\y=4-3x$

jonny [76]4 years ago

6 0

Answer:

The value of the provided equation for y is $y=-12x+16$ .

Step-by-step explanation:

Consider the provided equation.

$11-\frac{1}{2}y=3+6x$

We need to solve the above equation for y.

Subtract 11 from both the sides.

$11-11-\frac{1}{2}y=3-11+6x$

$-\frac{1}{2}y=6x-8$

Multiply both the sides by -2

$-\frac{1}{2}y\times -2=-2(6x-8)$

$y=-12x+16$

Hence, the value of the provided equation for y is $y=-12x+16$ .

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3 years ago

Read 2 more answers

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Sergio039 [100]

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Step-by-step explanation:

According the quotient of powers property, when you have the division of two powers with the same base, then you must subtract the exponents.

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4 years ago

Which quadratic function has Vertex (-1,4) and passes through (4,19) <br> HELP

hichkok12 [17]

Answer:

$f(x)=\frac{3}{5}(x+1)^2+4$

Step-by-step explanation:

The equation of a quadratic function in vertex form is given by:

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

Where (h,k) is the vertex.

It was given in the question that the vertex of the parabola is (-1,4).

When we substitute the vertex into the formula we get:

$f(x)=a(x+1)^2+4$

The parabola also passes through (4,19) hence it must satisfy its equation.

$19=a(4+1)^2+4$

$19-4=a(5)^2$

$15=25a$

We divide both sides by 25 to get:

$a=\frac{15}{25}= \frac{3}{5}$

Hence the quadratic function is:

$f(x)=\frac{3}{5}(x+1)^2+4$

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3 years ago

In the track meet I competed in the high jump and the pole vault. What is this called?

nata0808 [166]

Answer:

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Cheers

5 0

3 years ago

Lia must work at least 5 hours per week in her family's restaurant for $8 per hour. She also does yard work for $12 per hour. Li

agasfer [191]

Answer:

Step-by-step explanation:

let r= number of hours worked at the restaurant

y=number of work hours in the yard

Maximum number of work per week=r+y ≤ 15

Lia must work at least 5 hours in the restaurant

x ≥ 5

Lia wants to earn at least $120 $8/hr in the restaurant and $12/hr in the yard:

8r + 12y ≥ 120

What is the maximum of hours Lia can work in the restaurant and still make at least 120 hours?

Assume Lia worked all 15 hours in the restaurant

she would earn $8*15hours = $120.

The maximum number of hours she can work in the restaurant is therefore 15 hours

What is the maximum amount of money Lia can earn in a week?

Lia has to work a minimum of 5 hours in the restaurant. She earns more from yard work, so she should devote the rest of her available work hours to yard work.

That means that, given her 15 hour work limit, she will maximize her income by working 5 hours in the restaurant and 10 hours in the yard.

5r+10y

5*8 + 10*12

= 40 + 120

= $160

6 0

3 years ago