All categories

2 years ago

1. 2x+5(6x-9)=1792. -40=6x-5(-4x-18)solve for X

Mathematics

1 answer:

pav-90 [236]2 years ago

5 0

Answer:

1. x = 7

2. x = -5

Step-by-step explanation:

1. Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation: 2*x+5*(6*x-9)-(179)=0

Pull out like factors 6x - 9 = 3 • (2x - 3)

(2x + 15 • (2x - 3)) - 179 = 0

Pull out like factors: 32x - 224 = 32 • (x - 7)

Solve: x-7 = 0

Add 7 to both sides of the equation = 7

2. Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation: -40-(6*x-5*(-4*x-18))=0

Pull out like factors: -4x - 18 = -2 • (2x + 9)

-40 - (6x - -10 • (2x + 9)) = 0

Pull out like factors: -26x - 130 = -26 • (x + 5)

-26 • (x + 5) = 0

Solve: x+5 = 0

Subtract 5 from both sides of the equation: x = -5

Hope this helps! Please mark as brainliest.

Thanks!

You might be interested in

PLZ HURRY IT'S URGENT!!

Ksenya-84 [330]

The answer would be 40
-4(-2) = 8
8(5) = 40

7 0

3 years ago

Write a proof for the following

anastassius [24]

Answer:

What will help is labeling the diagram with the given info..A proof always ends with the statement you have to prove.

Step-by-step explanation:

STATEMENT..............REASON

1) ∠F≅∠C 1) Given

2) E is the midpoint of GD 2) Given

3) GE≅ED 3) If a point is a midpoint then 2 ≅ segments are formed

4) FE≅EC 4) Same as 3

5)∠G≅∠D 5)

6) FG≅CD 6)

I tried my best with step 5 and 6..but you know step 6 has to be the prove statement but i don't know what the reason would be. I hope i helped a bit though.

4 0

3 years ago

Water is leaking out of a large barrel at a rate proportional to the square rooot of the depth of the water at that time. If the

sdas [7]

Answer:

It will take about 35.49 hours for the water to leak out of the barrel.

Step-by-step explanation:

Let $y(t)$ be the depth of water in the barrel at time $t$ , where $y$ is measured in inches and $t$ in hours.

We know that water is leaking out of a large barrel at a rate proportional to the square root of the depth of the water at that time. We then have that

$\frac{dy}{dt}=-k\sqrt{y}$

where $k$ is a constant of proportionality.

Separation of variables is a common method for solving differential equations. To solve the above differential equation you must:

Multiply by $\frac{1}{\sqrt{y}}$

$\frac{1}{\sqrt{y}}\frac{dy}{dt}=-k$

Multiply by $dt$

$\frac{1}{\sqrt{y}}\cdot dy=-k\cdot dt$

Take integral

$\int \frac{1}{\sqrt{y}}\cdot dy=\int-k\cdot dt$

Integrate

$2\sqrt{y}=-kt+C$

Isolate $y$

$y(t)=(\frac{C}{2} -\frac{k}{2}t)^2$

We know that the water level starts at 36, this means $y(0)=36$ . We use this information to find the value of $C$ .

$36=(\frac{C}{2} -\frac{k}{2}(0))^2\\C=12$

$y(t)=(\frac{12}{2} -\frac{k}{2}t)^2\\\\y(t)=(6 -\frac{k}{2}t)^2$

At t = 1, y = 34

$34=(6 -\frac{k}{2}(1))^2\\k=12-2\sqrt{34}$

So our formula for the depth of water in the barrel is

$y(t)=(6 -\frac{12-2\sqrt{34}}{2}t)^2\\\\y(t)=\left(6-\left(6-\sqrt{34}\right)t\right)^2\\$

To find the time, $t$ , at which all the water leaks out of the barrel, we solve the equation

$\left(6-\left(6-\sqrt{34}\right)t\right)^2=0\\\\t=3\left(6+\sqrt{34}\right)\approx 35.49$

Thus, it will take about 35.49 hours for the water to leak out of the barrel.

5 0

3 years ago

1. Which expressions are equivalent to 5^6x5^-3

Olenka [21]

You just add both of the powers , so 6-3 is 3

the answer is 5^3

7 0

3 years ago

Read 2 more answers

Give the values of a, b, and c needed to write the equation's standard form.(5 + x)(5 - x) = 7A = 1; B = 0; C = -18A = 25; B = 0

Maksim231197 [3]

We need to FOIL that out and then get it into standard form to see what our A, B, and C are. FOILing gives us $25-x^2=7$ . If we move the 7 over by subtraction and set it equal to 0, we have $-x^2+18=y$ . In order to avoid a negative leading coefficient, we can change all the signs to get $x^2-0x-18=0$ so A = 1, B = 0, C = -18, first choice above.

5 0

3 years ago

1. 2x+5(6x-9)=1792. -40=6x-5(-4x-18)solve for X​

1. 2x+5(6x-9)=1792. -40=6x-5(-4x-18)solve for X