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tester [92]
3 years ago
10

An equation is shown below:

Mathematics
2 answers:
Karo-lina-s [1.5K]3 years ago
7 0

Original Equation.

5(2x - 8) + 15 = -15

First do what is in the parenthesis.

2 x 1 = 2

2 - 8 = -6

5(-6) + 15 = -15

Multiply 5 x -6 to get -30

-30 + 15 = -15

add 15 + -30 to get -15

-15

x = 1

Hope This Helps!

Can I get Brainliest?

DanielleElmas [232]3 years ago
5 0
X is 1.

first, you distribute the 5 into the parentheses.
 5(2x-8)+15=-15 becomes 10x-40+15=-15

then you calculate the sum
10x-40+15=-15 becomes 10x-25=-15

after that you move the constant to the right of the equal sign and change the sign (ex negative becomes positive number)
10x-25=-15 becomes 10x=-15+25

next, you add the constants
10x=-15+25 becomes 10x=10

lastly, you divide the numbers.
10x=10 becomes 1

so x=1



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If the acceleration of an object is given by dv/dt = −2v, Find the position function s(t) if v(0) = 7 and s(0) = 0.
kirill [66]

Answer:

Step-by-step explanation:

Given that acceleration of an object is

\frac{dv}{dt} =-2v\\\frac{dv}{v} =-2dt\\ln v = -2t+C\\

is the solution to the differential equation

Since v(0) =7

we get ln 7 = C

Hence lnv = -2t+ln 7\\v=7e^{-2t}

since velocity is rate of change of distance s we have

v=\frac{ds}{dt} =7e^{-2t}\\s= [tex]s(t) =\frac{-7}{2} (e^{-2t})+C)[

substitute t=0 and s=0

C=7/2

So solution for distance is

s(t) =\frac{-7}{2} (e^{-2t}-1)

4 0
3 years ago
Hola esta es mi pregunta
fenix001 [56]

Answer:

Step-by-step explanation:

hola

Cuando dos numeros tienen el mismo signo la respuesta siempre es positiva. cuando un signo es positivo y e lotro es negativo la respuesta siempre sera negativa. Esta es la regla para multiplicar numeros con signos diferentes. el orden de los signos no importa en multiplicacon siempre va ha ser la misma respuesta.

7 0
3 years ago
Write the equation for:
xenn [34]

Answer:

\frac{1}{2} x +x = 2 (x-4)

Step-by-step explanation:

Suppose number is x

Following equation can be written from question statement

\frac{1}{2} x +x = 2 (x-4)

Simplifying it further

\frac{3}{2} x = 2x-8

\frac{3}{2} x -2x=-8

\frac{3x-4x}{2}= -8

-x= -16\\x=16

7 0
3 years ago
Rationalize the denominator and simplify 6/√2-√3
ss7ja [257]
Answer:

<span>=3<span>√6</span>−3<span>√5</span></span>

Explanation:

<span>3<span><span>√5</span>+<span>√6</span></span></span>

We rationalise the denominator by multiplying the expression by the conjugate of the denominator. <span><span>√5</span>−<span>√6</span></span>

<span><span>3⋅<span>(<span>√5</span>−<span>√6</span>)</span></span><span><span>(<span>√5</span>+<span>√6</span>)</span>⋅<span>(<span>√5</span>−<span>√6</span>)</span></span></span>

<span>=<span><span>3⋅<span>(<span>√5</span>)</span>+3⋅<span>(−<span>√6</span>)</span></span><span><span>(<span>√5</span>+<span>√6</span>)</span>⋅<span>(<span>√5</span>−<span>√6</span>)</span></span></span></span>

<span>=<span><span>3<span>√5</span>−3<span>√6</span></span><span><span>(<span>√5</span>+<span>√6</span>)</span>⋅<span>(<span>√5</span>−<span>√6</span>)</span></span></span></span>

<span>Applying identity
<span><span>(a+b)</span><span>(a−b)</span>=<span>a2</span>−<span>b2</span></span> to the denominator.</span>

<span>=<span><span>3<span>√5</span>−3<span>√6</span></span><span><span><span>(<span>√5</span>)</span>2</span>−<span><span>(<span>√6</span>)</span>2</span></span></span></span>

<span>=<span><span>3<span>√5</span>−3<span>√6</span></span><span>5−6</span></span></span>

<span>=<span><span>3<span>√5</span>−3<span>√6</span></span><span>−1</span></span></span>

<span>=−3<span>√5</span>+3<span>√6</span></span>

<span>=3<span>√6</span>−3<span>√<span>5
</span></span></span>

5 0
3 years ago
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