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3 years ago

Help with number 9 please please thank you

Mathematics

1 answer:

Harlamova29_29 [7]3 years ago

6 0

Answer:

$\large\boxed{53.9ml=0.0539l}$

Step-by-step explanation:

$1l=1,000ml\to1ml=\dfrac{1}{1,000}l=0.001l\\\\\text{Therefore}\\\\53.9ml=53.9\cdot0.001l=0.0539l$

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Given the equation:

$y=x^2-x-6$

Let's find the x-intercepts and the y-intercepts of the graph.

• x-intercept:

The x-intercept are the points where the parabola crosses the x-axis. At x-intercept the y-value is zero.

To find the x-intercepts, substitute 0 for y and solve for x.

We have:

$0=x^2-x-6$

Rewrite the equation:

$x^2-x-6=0$

Factor the left hand side of the equation:

$(x-3)(x+2)=0$

Equate each factor to zero:

x - 3 = 0

Add 3 to both sides:

x - 3 + 3 = 0 + 3

x = 3

x + 2 = 0

Subtract 2 from both sides:

x + 2 - 2 = 0 - 2

x = -2

Therefore, the x-intercepts are:

3, -2

• y-intercept:

The y-intercept is the point where the parabola crosses the y-axis. The x-value at the y-intercept is zero.

To find the y-intercept, substitute 0 for x and solve:

$\begin{gathered} y=0^2-0-6 \\ \\ y=-6 \end{gathered}$

Therefore, the y-intercept is -6.

In point form:

x-intercept: (3, 0), (-2, 0)

y-intercept: (0, -6)

ANSWER:

A. The x-intercepts are (3, 0), (-2, 0)

A. The y-intercept is (0, -6)

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1 year ago

A facility has 150 beds and during a 30 day period they have 4,200 occupied bed days. What is their average percentage of occupa

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Answer:

Average percentage of occupancy = 93%.

Step-by-step explanation:

If a facility has 150 beds, then over a 30 day period they could have as many as 150 x 30 or 4,500 occupied beds. Since over the given 30 day period they only had 4,200 occupied beds, we can find the average percentage of occupancy by dividing the actual number by the expected number and multiplying by 100:

$\frac{actual}{expected} = \frac{4200}{4500}$ x 100 = 93%

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3 years ago

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Nadine wants to convince her school to provide the students with an extra playground.

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Answer:

The school would have to give $300 and each side would be 100cm

Step-by-step explanation:

(4x - 8)cm = Side length

Solve for X

3(4x - 8) = 300

(Getting rid of the three)

(12x -24) = 300

(Getting rid of the 24)

(12x) = 324

(Getting rid of the 12)

(12x/12) = 324/12

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Side length = (108 - 8)

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2 years ago

Graph y≤1-3x. ( Which graph ).

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2 years ago

A red token is worth twice as much as an orange token. An orange token is worth 5 less a yellow token. A yellow token is worth 1

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Answer:

Step-by-step explanation:

Let r represent red token,

Let o represent orange token,

Let y represent yellow token

Let g represent green token,

A red token is worth twice as much as an orange token. It means that

r = 2o

An orange token is worth 5 less a yellow token. It means that

o = y - 5

A yellow token is worth 15 less than a green token. It means that

y = g - 15

A green token is worth half as much as a blue token. It means that

g = b/2

a blue token is worth B. Therefore, the worth of a yellow token in terms of B would be

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y = B/2 - 15

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