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Leya [2.2K]
3 years ago
8

B.) Translate the graph of y = |x| two units down, and

Mathematics
1 answer:
otez555 [7]3 years ago
5 0

Answer:

Y = - |x-1| - 2

Step-by-step explanation:

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(3,-3), slope 3 write an equation of the line that passes through the given point and has the given slope
tester [92]

Answer:

y = 3x - 12

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = 3, thus

y = 3x + c ← is the partial equation

To find c substitute (3, - 3) into the partial equation

- 3 = 9 + c ⇒ c = - 3 - 9 = - 12

y = 3x - 12 ← equation of line

4 0
3 years ago
Read 2 more answers
R = 850 cm, s = 250 cm and t=940 cm. Find the measure of ZS tothe nearest 10th of a degree
faust18 [17]

To find the measure of the s angle que are going use the cosine law because we know all the sides of the triangule:

s² = r² + t² - 2*r*t * cos(S)

Then solve the equation

s² -r² - t² = -2*r*t * cos(S)

arccos ((s² -r² - t² /-2*r*t)) = S

arccos (((250)² -(850 cm)²-(940 cm)² /(-2* 850 cm*940 cm) = S

14.9 = S

round to the nearest 10th of a degree

15º = S

5 0
1 year ago
Solve the equation 5x-8=57
oksano4ka [1.4K]

Answer:

X = 13

1. Add 8 to both sides of the equation

5

3 0
3 years ago
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Sample spaces For each of the following, list the sample space and tell whether you think the events are equally likely:
Schach [20]

Answer and explanation:

To find : List the sample space and tell whether you think the events are equally likely ?

Solution :

a) Toss 2 coins; record the order of heads and tails.

Let H is getting head and t is getting tail.

When two coins are tossed the sample space is {HH,HT,TH,TT}.

Total number of outcome = 4

As the outcome HT is different from TH. Each outcome is unique.

Events are equally likely since their probabilities \frac{1}{4} are same.

b) A family has 3 children; record the number of boys.

Let B denote boy and G denote girl.

If there are 3 children then the sample space is

{GGG,GGB,GBG,BGG,BBG,GBB,BGB,BBB}

The possible number of boys are 0,1,2 and 3.

Number of boys      Favorable outcome    Probability

           0                      GGG                        \frac{1}{8}

           1                    GGB,GBG,BGG          \frac{3}{8}

           2                   GBB,BGB,BBG           \frac{3}{8}

           3                       BBB                         \frac{1}{8}

Since the probabilities are not equal the events are not equally likely.

c)  Flip a coin until you get a head or 3 consecutive tails; record each flip.

Getting a head in a trial is dependent on the previous toss.

Similarly getting 3 consecutive tails also dependent on previous toss.

Hence, the probabilities cannot be equal and events cannot be equally likely.

d) Roll two dice; record the larger number

The sample space of rolling two dice is

(1,1) (1,2) (1,3) (1,4) (1,5) (1,6)

(2,1) (2,2) (2,3) (2,4) (2,5) (2,6)

(3,1) (3,2) (3,3) (3,4) (3,5) (3,6)

(4,1) (4,2) (4,3) (4,4) (4,5) (4,6)

(5,1) (5,2) (5,3) (5,4) (5,5) (5,6)

(6,1) (6,2) (6,3) (6,4) (6,5) (6,6)

Now we form a table that the number of time each number occurs as maximum number then we find probability,

Highest number        Number of times         Probability

           1                                   1                     \frac{1}{36}

           2                                  3                    \frac{3}{36}

           3                                  5                    \frac{5}{36}

           4                                  7                    \frac{7}{36}

           5                                  9                    \frac{9}{36}

           6                                  11                    \frac{11}{36}

Since the probabilities are not the same the events are not equally likely.

4 0
3 years ago
please help me , if f(x) = c and g(x) = f (x-3), which of the following best describes the graph of y = g(x)
notka56 [123]
I need this answer too can you please help me out too if you find the answer


Explanation
8 0
3 years ago
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