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3 years ago

Solve the equation for y. 6 = 4x +9y

Mathematics

2 answers:

katovenus [111]3 years ago

3 0

Answer:

y = (6-4x) / 9

Step-by-step explanation:

6 = 4x+9y

Subtracting 4x to both sides

6 - 4x = 9y

Now dividing both sides by 9

We'll get

(6-4x)/9 = y

y = (6-4x) / 9

yan [13]3 years ago

3 0

Answer:

y = 2/3 - 4x/9

Step-by-step explanation:

6 = 4x + 9y

you have to isolate the 9y soo, subtract 4x on both sides

6 - 4x = 9y

now, divide both sides by 9

6/9 - 4x/9 = y

simplify!

2/3 - 4x/9 = y

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A dinner plate has a diameter of about 9 inches what is the circumference and area?

lukranit [14]

Circumference~(pi)(diameter)~28.26
Area~ (pi)(radius)squared~63.59
I believe these are right

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4 years ago

Read 2 more answers

Find the value of x?

Arisa [49]

Answer:

x = 5

Step-by-step explanation:

x + 5 = $\frac{1}{2}(x^{2} - x)$ {Midpoint theorem}

2(x+ 5) = x² - x

2x + 10 = x² - x

x² - x - 2x - 10 = 0

x² - 3x - 10 = 0

x² - 5x + 2x - (5*2) = 0

x(x - 5) + 2(x - 5) = 0

(x -5)(x + 2) = 0

{x + 2 is ignored because measurement could not be in negative value}

x - 5 = 0

x = 5

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3 years ago

What function translates the function f(x) = to the right 2 units and up 10 units?<br><br> g(x)= |

Mandarinka [93]

Answer:

g(x) = | x - 2 | + 10

Step-by-step explanation:

given g(x) then g(x± h ) is a horizontal translation of g(x)

• if h > 0 then a move to the left of h units

• if h < 0 then a move to the right of h units

here the move is 2 units to the right, then

g(x) = | x - 2 |

given g(x) then g(x) + c is a vertical translation of g(x)

• if c > 0 then a move up

• if c < 0 then a move down

here the move is 10 units up , then

g(x) = | x - 2 | + 10

8 0

1 year ago

Consumer products are required by law to contain at least as much as the amount printed on the package. For example, a bag of po

Troyanec [42]

Answer:

The average bag weight must be used to achieve at least 99 percent of the bags having 10 or more ounces in the bag=9.802

Step-by-step explanation:

We are given that

Standard deviation, $\sigma=0.2$ ounces

We have to find the average bag weight must be used to achieve at least 99 percent of the bags having 10 or more ounces in the bag.

$P(x\geq 10)=0.99$

Assume the bag weight distribution is bell-shaped

Therefore,

$P(\frac{x-\mu}{\sigma}\geq 10)=0.99$

We know that

$z=\frac{x-\mu}{\sigma}$

Using the value of z

Now,

$\frac{10-\mu}{0.2}=0.99$

$10-\mu=0.99\times 0.2$

$\mu=10-0.99\times 0.2$

$\mu=9.802$

Hence, the average bag weight must be used to achieve at least 99 percent of the bags having 10 or more ounces in the bag=9.802

5 0

3 years ago

If f(x)=x^3−x, what is the average rate of change of f(x) over the interval [1, 5]? a)29.5 b)30 c)43 d)120

avanturin [10]

$\bf slope = m = \cfrac{rise}{run} \implies 
\cfrac{ f(x_2) - f(x_1)}{ x_2 - x_1}\impliedby 
\begin{array}{llll}
average~rate\\
of~change
\end{array}\\\\
-------------------------------\\\\
f(x)= x^3-x \qquad 
\begin{cases}
x_1=1\\
x_2=5
\end{cases}\implies \cfrac{f(5)-f(1)}{5-1}
\\\\\\
\cfrac{[5^3-5]~-~[1^3-1]}{4}\implies \cfrac{125-5~~-~~0}{4}\implies \cfrac{120}{4}\implies 30$

7 0

3 years ago