When x = -3 on the graph of y = 2|x| + 3 what will be the y-coordinate?A. -3
B. 3
C. -9
D. 9

Answers

Answer 1

Answer: Substitute -3 into the equation

y = 2|x| + 3
y = 2 (3) + 3
y = 6 + 3
y = 9

Answer D

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John is playing a game of darts. The probability that he throws a dart into the center of the dart board (the Bull’s eye) is 1/10. The probability that he throws the dart into the 10-point ring is 3/10.What is the probability that he either hits a Bull’s eye or scores 10 points?
a. 1/3
b. 2/3
c. 3/5
d. 2/5
e. 1/4

Answers

The correct answer for the question that is being presented above is this one: "d. 2/5." John is playing a game of darts. The probability that he throws a dart into the center of the dart board (the Bull’s eye) is 1/10. The probability that he throws the dart into the 10-point ring is 3/10. The probability that he either hits a Bull's eye or scores 10 points is 2/5

Answer: The correct option is (d). $(2)/(5).$

Step-by-step explanation: Given that John is playing a game of darts. The probability that he throws a dart into the centre of the dart board (the Bull’s eye) is $(1)/(10)$ and the probability that he throws the dart into the 10-point ring is $(3)/(10).$

We are to find the probability that he either hits a Bull’s eye or scores 10 points.

Let, 'A' and 'B' represents the events that John throws the dart into a Bull's eye and 10-point ring respectively.

Then, according to the given information, we have

$P(A)=(1)/(10),~~P(B)=(3)/(10),~~~P(A\cup B)=?$

Since John cannot throw the dart into the Bull's eye and 10 point ring together, both the events are independent of each other.

Therefore,

$P(A\cap B)=0$

From the theorems of probability, we have

$P(A\cup B)=P(A)+P(B)-P(A\cap B)=(1)/(10)+(3)/(10)-0=(4)/(10)=(2)/(5).$

Therefore, the probability that John either hits a Bull’s eye or scores 10 points is $(2)/(5).$

Thus, (d) is the correct option.

What is the missing number in this pattern?
2, 4, _, 16, 32
5
8
10
6

Answers

The pattern is multiplying the numbers by 2. If you time 4 by 2, you'll get 8. Therefore the answer is 8

Which represents the solution(s) of the system of equations, y = x2 – x + 1 and y = x? Determine the solution set by graphing.(1, 1)
(0, 1) and (1, 1)
(0, 0) and (1, 1)
no solutions

Answers

Answer:

$(1,1)$

Step-by-step explanation:

we have

$y=x^(2)-x+1$ -------> equation A

$y=x$ -------> equation B

we know that

The solution of the system of equations is the intersection points both graphs

using a graphing tool

see the attached figure

The intersection both graphs is the point $(1,1)$

therefore

the solution is the point $(1,1)$

Hello,

sol={(1,1)}

Answer A

How do I complete each pattern, Example 1 block, 3 blocks,6 blocks

Answers

Well,

This could be an arithmetic sequence.
1 + 2 = 3
3 + 3 = 6
6 + 4 = 10
10 + 5 = 15
15 + 6 = 21
...

This could also be a geometric sequence.
1*3=3
3*2=6
6*1=6
6*0=0
0*-1=0
0*(anything)=0
...

The mass of one liter of water is about one ____A : Milligram

B : Kilogram

C : Gram