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icang [17]
4 years ago
11

4x-15=3x+12 how does this work out

Mathematics
2 answers:
guajiro [1.7K]4 years ago
8 0
First subtract 3x from itself and from 4x. Then the next problem will be (x-15=12). Add 15 to itself and to 12. Then the answer will be (x=27).
shepuryov [24]4 years ago
5 0
You have to find the value of x. first get x by its self on one side of the equation. so you have to add 15 to the -15 to cancel it out. what you do to one side of the equation you have to do to the other side so add 15 to 3x + 12. you should have 4x = 3x + 27. now since you only want the x on one side of the equals sign you have to subtract 3x from both sides of the equation to cancel out the 3x. you should have 1x = 27 or x = 27. now all you have to do is plug in the value of x ,27, into the original equations. 4(27) - 15 = 3(27) + 12.
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SVETLANKA909090 [29]

Answer:

56

Step-by-step explanation:

El problema se puede transcribir en esta ecuación:

2x + x = 168

siendo x las nectarinas

sumas los términos de x:

3x=168

despejas x:

x = 168 ÷ 3

x = 56

5 0
2 years ago
Help pls im being timed
Nitella [24]

The trigonometric ratios show that the angle FHE is 48.59°.

<h3>RIGHT TRIANGLE</h3>

A triangle is classified as a right triangle when it presents one of your angles equal to 90º.  The greatest side of a right triangle is called hypotenuse. And, the other two sides are called cathetus or legs.

The math tools applied for finding angles or sides in a right triangle are the trigonometric ratios or the Pythagorean Theorem.

The Pythagorean Theorem says: (hypothenuse)^2=(leg_1)^2+(leg_2)^2. And the main trigonometric ratios are:

sin(\alpha) =\frac{opposite \;leg }{hypotenuse} \\ \\ cos(\alpha) =\frac{adjacent\;leg }{hypotenuse} \\ \\ tan(\alpha) =\frac{sin(\alpha )}{cos(\alpha )}= \frac{opposite \;leg }{adjacent\;leg } \\ \\

It is important to remember that the sum of internal angles for any triangle is 180°.

From the question, it is possible to see 2 right triangles (HGF and FHE).

You can find the hypotenuse of the triangle HGF from the  trigonometric ratio: sen Θ

sin45=\frac{opposite\; leg }{hypotenuse} =\frac{\sqrt8}{hypotenuse}\\ \\ \frac{\sqrt{2} }{2} =\frac{\sqrt{8} }{hypotenuse} \\ \\ \sqrt{2}*hypotenuse=2\sqrt{8} \\ \\ hypotenuse=\frac{2\sqrt{8} }{\sqrt{2}} =2\sqrt{4} =2*2=4

The hypotenuse of triangle HGF is one of legs for the triangle FHE. The, you can find the angle FHE from the  trigonometric ratio: tan β. Thus,

sin \beta =\frac{opposite\; leg }{adjacent\; leg} =\frac{3}{4}\\ \\ sin \beta=\frac{3}{4}=0.84806\\ \\ arcsin\beta =48.59^{\circ \:}

Learn more about trigonometric ratios here:

brainly.com/question/11967894

#SPJ1

7 0
2 years ago
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

So

The differential equation is

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

3 0
3 years ago
Complete the steps to find the difference
zalisa [80]

Answer:

3x² - 9x + 5

Step-by-step explanation:

Given

(5x² - 3x + 4) - (2x² + 6x - 1)

Distribute the first parenthesis by 1 and the second by - 1

= 5x² - 3x + 4 - 2x² - 6x + 1 ← collect like terms

= (5x² - 2x²) + (- 3x - 6x) + (4 + 1)

= 3x² - 9x + 5

3 0
3 years ago
What is the do.ain and range of (1,9), (2,7), (5,4), (7,12) (3,9)
inysia [295]
Domain: {1,2,3,5,7}
Range: {4,9,7,12}
6 0
3 years ago
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