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2 years ago

How do you solve the equation in detail :: 12(2w-3)=6w

1 answer:

8 0

$12(w-3)=6w
$
Distrubute the 12
$12(2w)-12(3)=6w$
$24w-36=6w$
Subract 24w from both sides
$-36=6w-24w$
$-36=-18w$
Divide both sides by -18
$w=2$

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A diver dives from the board at a local swimming pool. Her height, y, in metres, above the water in terms of her horizontal dist

Aneli [31]

Answer:

4 meters

Step-by-step explanation:

Given a quadratic equation in which the coefficient of $x^2$ is negative, the parabola opens up and has a maximum point. This maximum point occurs at the line of symmetry.

Since the divers height, y is modeled by the equation

$y= -x^2 + 2x + 3$

Step 1: Determine the equation of symmetry

In the equation above, a=-1, b=2, c=3

Equation of symmetry, $x=-\dfrac{b}{2a}$

$x=-\dfrac{2}{2*-1}\\x=1$

Step 2: Find the value of y at the point of symmetry

That is, we substitute x obtained above into the y and solve.

$y(1)= -1^2 + 2(1) + 3=-1+2+3=4m$

The maximum height of the diver is therefore 4 meters.

8 0

2 years ago

9a + 18c. What is the value of the expression when a = −5 and c = −1?

saw5 [17]

1. plug in the numbers for the variables, like this: 9(-5)+18(-1)

2. solve
Hopefully this helps! Let me know if you need more explanation.

4 0

2 years ago

A pound of cherries is normally $5.00. Today there is a 20% discount. What is the sale price

Kruka [31]

The Answer Is $4.00
Hope This Helps!

6 0

3 years ago

Read 2 more answers

Which expression can be expanded using the binomial theorem?

kirill [66]

Answer:

The third choice: (x² - 1)³

Step-by-step explanation:

That is the only expression that is a binomial. Binomial means "two numbers". For this expression, x² is one number, and -1 is the other. Choice 1 is a monomial (one number) and choices 2 and 4 are trinomials (three numbers)

7 0

2 years ago

5/4 to 3/8 as a percent change

Digiron [165]

Well, what's the diffrence from 5/4 to 3/8?

$\bf \cfrac{5}{4}-\cfrac{3}{8}\qquad \stackrel{\textit{LCD is 8 clearly}}{\implies }\qquad \cfrac{10-3}{8}\implies \cfrac{7}{8}$

so, if we take 5/4 to be the 100%, what is 7/8 off of it in percentage anyway?

$\bf \begin{array}{ccll}
amount&\%\\
\text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\
\frac{5}{4}&100\\\\
\frac{7}{8}&x
\end{array}\implies \cfrac{\quad \frac{5}{4}\quad }{\frac{7}{8}}=\cfrac{100}{x}\implies \cfrac{5}{4}\cdot \cfrac{8}{7}=\cfrac{100}{x}
\\\\\\
\cfrac{40}{28}=\cfrac{100}{x}\implies x=\cfrac{28\cdot 100}{40}$

5 0

2 years ago