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Brilliant_brown [7]
2 years ago
10

Given that f(x) = x2 + 9x + 18 and g(x) = x + 6, find f(x) – g(x) and

Mathematics
1 answer:
Diano4ka-milaya [45]2 years ago
3 0

Answer:

x^2+8x+12

Step-by-step explanation:

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Find the area of the triangle whose vertices are (0,4) , (0,0) and (2,0) by plotting them on graph
Luden [163]

Refer to the attached image. Since one vertex is the origin and the other two lay on the coordinate axes, the triangle is a right triangle. This means that, if we consider AB to the be base, AC is his height, and vice versa.

Anyway, it means that the area is given by

A = \cfrac{\overline{AB}\times\overline{AC}}{2}

Since AB is a horizontal segment and AC is a vertical segment, their length is given by the absolute difference of the non-constant coordinate: points A and B share the same x coordinate, so we subtract the y coordinates:

\overline{AB} = |2-0| = |2| = 2

The opposite goes for AC: points A and C share the same y coordinate, so we subtract the x coordinates:

\overline{AC} = |4-0| = |4| = 4

So, the area is

A = \cfrac{2\times 4}{2} = 4

4 0
3 years ago
Jeff has 4 red pens and 2 blue pens in his backpack. He also has 1 yellow highlighter and 4 green highlighters in his
Romashka-Z-Leto [24]

Answer:

\frac{1}{15}

Step-by-step explanation:

In probability,

"AND" means "multiplication"

"OR" means "ADDITION"

We want probability of Blue Pen and Yellow Highlighter. So we find individual probabilities and "MULTIPLY" them.

Let P(b) be probability of blue pen

Let P(y) be probability of yellow highlighter

We know probability of event is that event divided by total number of that

So,

There are 4 + 2 = 6 pens

Blue pen = 2

Hence,

P(b) = 2/6 = 1/3

And,

There are 5 highlighters

Yellow highlighter = 1

Hence,

P(y) = 1/5

Now,

P(b and y) = 1/3 * 1/5 = 1/15

Hence,

probability of grabbing blue pen and a yellow highlighter is  \frac{1}{15}

3 0
3 years ago
Read 2 more answers
What's the absolute value of -|6| + 6?<br><br> Options :<br><br> O. 0<br> O. 12<br> O. -12
vekshin1

Answer:

Zero

Step-by-step explanation:

any absolute value bars come off so -6+6=0

3 0
2 years ago
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Use the figure to determine the intersection of planes EAB and EFG
vredina [299]

Answer:

Option (3). EF

Step-by-step explanation:

From the figure attached,

Plane defined by EAB can be represented by the face EABF of the square prism also.

Similarly, plane EFG can be represented by the face EFGH of the prism.

Now these sides EABF and EFGH are joining each other at the edge EF of the cuboid.

Therefore, intersection of the given planes is EF.

Option (3) will be the answer.

7 0
3 years ago
the science teacher has 7 packs of seeds and 36 students if the student should each plant the same number seeds how many each st
Masteriza [31]

Answer:

each student would plant 252 seeds

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3 years ago
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