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3 years ago

-(12x-6)=12x 6 solve for x

Mathematics

1 answer:

postnew [5]3 years ago

5 0

6=24x
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Is (2, 6) a solution to this system of equations?<br> y = -x + 8<br> y = 5x - 4<br> yes<br> no

Alexxx [7]

Answer:

Yes

Step-by-step explanation:

To see is (2, 6) is a system, we can plug it into the system to check if it gives us true statements:

6 = -2+8

6 = 6

6 = 5(2)-4

6 = 10-4

6 = 6

Both of the equations are true, therefore (2, 6) is a solution to this system.

6 0

1 year ago

A new neighborhood activity complex is being built in erie. The perimeter of the rectangular playing field is 256 yards. The len

maw [93]

Answer:

The length of the rectangular playing field is 84 yards and the width is 44 yards

Step-by-step explanation:

Let

x ------> the length of the rectangular playing field

y -----> the width of the rectangular playing field

we know that

The perimeter of the rectangular playing field is equal to

$P=2(x+y)$

$P=256\ yd$

$256=2(x+y)$ ------> equation A

we have that

$x=2y-4$ -----> equation B

Solve the system by substitution

Substitute equation B in equation A and solve for y

$256=2(2y-4+y)$

$128=3y-4$

$3y=128+4$

$3y=132$

$y=44$

Find the value of x

$x=2(44)-4=84$

therefore

The length of the rectangular playing field is 84 yards and the width is 44 yards

4 0

3 years ago

Point A′ (2,3) is the image of A (3,−4) under a translation

lys-0071 [83]

1 unit right 7 units down is the translation

6 0

3 years ago

Read 2 more answers

n many population growth problems, there is an upper limit beyond which the population cannot grow. Many scientists agree that t

givi [52]

Answer:

$\frac{dP}{dt} = rP(1 - \frac{P}{K}) = 0.017P(1 - \frac{P}{16})$

Step-by-step explanation:

The logistic function of population growth, that is, the solution of the differential equation is as follows:

$P(t) = \frac{KP_{0}e^{rt}}{K + P_{0}(e^{rt} - 1)}$

We use this equation to find the value of r.

In this problem, we have that:

$K = 16, P_{0} = 2, P(50) = 4$

So we find the value of r.

$P(t) = \frac{KP_{0}e^{rt}}{K + P_{0}(e^{rt} - 1)}$

$4 = \frac{16*2e^{50r}}{16 + 2*(e^{50r} - 1)}$

$4 = \frac{32e^{50r}}{14 + 2e^{50r}}$

$56 + 8e^{50r} = 32e^{50r}}$

$24e^{50r} = 56$

$e^{50r} = 2.33$

Applying ln to both sides of the equality

$50r = 0.8459$

$r = 0.017$

The differential equation is

$\frac{dP}{dt} = rP(1 - \frac{P}{K}) = 0.017P(1 - \frac{P}{16})$

3 0

3 years ago

Time Remaining

ExtremeBDS [4]

The answer for this question is going to be: Both x is positive and y is negative.

5 0

3 years ago