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Mila [183]
2 years ago
14

Will the border line of the graph of y < - x2 + 4x + 5 be a solid line or a broken

Mathematics
1 answer:
Free_Kalibri [48]2 years ago
7 0

Step-by-step explanation:

When the inequality uses < or >, it is a broken line.

For the point (0, 0) it means that x = 0 and y = 0.

Since (0) < (0)² + 4(0) + 5 is true, the point is part of the solution.

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An archaeologist is categorizing the artifacts he has discovered. Two-thirds of the artifacts are shards of pottery. One-eighth
Reika [66]

Answer:

Personal items=15

Step-by-step explanation:

We are given:

Total number of artifacts = 72.

We are told that 2/3 of total artifacts are shards of pottery.

\text{Shards of pottery}=72*\frac{2}{3} =24*2=48

We are also told that 1/8 of total artifacts are tools.

\text{Tools}=72*\frac{1}{8}=9

Now we will find out number of personal items by subtracting combined number of shards of pottery and tools from total number of artifacts.

\text{ Personal items}=72-(48+9)

\text{ Personal items}=72-57=15

Therefore, there are 15 personal items.

8 0
3 years ago
Factor the expression. 81y+54
seraphim [82]

Answer:

    27 • (3y + 2)

Step-by-step explanation:

    27 • (3y + 2)

Hope this helps

4 0
3 years ago
A box contains four cards: One card is black on both sides, one card is red on both sides and two cards are black on one side an
allochka39001 [22]

Answer:

Step-by-step explanation:

A box contains four cards: One card is black on both sides, one card is red on both sides and two cards are black on one side and red on the other side. One card is selected at random and you can see only one side.i) If the side you see is black, what is the probability that the other side is black?ii) If the side you see is black, what is the probability that the other side is red?

Given that:

Number of cards = 4

x = Black on both sides = 1

y = Red on both sides = 1

z = Black on one side, red on one side = 2

.i) If the side you see is black, what is the probability that the other side is black = b

Probability of black

P(x) = 1/4 ; p(b|x) = 1

P(y) = 1/4 ; p(y|x) =

8 0
2 years ago
-2b^2-5b+12 factor the trinomial
Bad White [126]

Answer: −(b+4)(2b−3)

Step-by-step explanation:

1. Factor out the negative sign.

−(2b^2+5b−12)

2. Split the second term in 2b^2+5b−12 into two terms.

−(2b^2+8b−3b−12)

3.Factor out common terms in the first two terms, then in the last two terms.

−(2b(b+4)−3(b+4))

4. Factor out the common term b+4b+4b+4.

−(b+4)(2b−3)

5 0
3 years ago
Which is bigger 2/5 or 4/9
Jlenok [28]
The easiest way to solve this comparison without any unusual comparisons is to find a common denominator for the two fractions.

2/5 = 18/45
4/9 = 20/45

Since 20/45 is bigger than 18/45, we know that 4/9 is greater than 2/5
6 0
2 years ago
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