Solve the equation –15 = –6(3 + x) + 4(x – 6). X =

Mathematics

1 answer:

madam [21]3 years ago

7 0

Answer:

x=-13.5

Step-by-step explanation:

$-15=-6(3+x)+4(x-6)\\-15=-18-6x+4x-24\\-15=-2x-42\\27=-2x\\x=\frac{-27}{2}$

You might be interested in

A ball travels on a parabolic path in which the height (in feet) is given by the expression $-25t^2+75t+24$, where $t$ is the ti

evablogger [386]

Answer:

The height of the ball is at it's maximum 1.5 units of time after launch.

Step-by-step explanation:

Suppose we have a quadratic function in the following format:

$h(t) = at^{2} + bt + c$

If t is negative, the maximu value of h(t) will happen at the point

$t_{MAX} = -\frac{b}{2a}$

In this question:

$h(t) = -25t^{2} + 75t + 24$

$a = -25, b = 75, c = 24$

Then

$t_{MAX} = -\frac{b}{2a} = -\frac{75}{2*(-25)} = 1.5$

The height of the ball is at it's maximum 1.5 units of time after launch.

8 0

3 years ago

How many solutions does have?<br> 1/2 ( 2p + 9 ) = -p + 5

JulijaS [17]

Answer:

Step-by-step explanation:

P + 4.5 = - p + 5

Bringing like terms on one side

P + p = 5 - 4.5

2p = 0.5

p = 0.5/2 = 0.25

In my opinion the answer is one solution

4 0

3 years ago

Read 2 more answers

Please solve! And explanation!

Oksi-84 [34.3K]

A fraction is a way to describe a part of a whole. The value of x is 6.

<h3>What is a Fraction?</h3>

A fraction is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25.

The value of x can be written as,

$\dfrac{1}{1+\dfrac{1}{1+\dfrac{1}{x}}} = \dfrac{7}{13}\\\\\\\dfrac{1}{1+\dfrac{1}{\dfrac{x+1}{x}}} = \dfrac{7}{13}\\\\\\\dfrac{1}{1+\dfrac{x}{x+1}} = \dfrac{7}{13}\\\\\\\dfrac{1}{\dfrac{x+1+x}{x+1}}= \dfrac{7}{13}\\\\\\\dfrac{x+1}{x+1+x}= \dfrac{7}{13}\\\\$