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Tasya [4]
3 years ago
6

Which graph represents the function f(x)=1/3|x|

Mathematics
1 answer:
hram777 [196]3 years ago
8 0

Answer:

D.

Step-by-step explanation:

if plug in 3 for x and you can see the line crosses at 1 on the y axis.

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Here is a sketch of y=x^2+bx+c The curve intersects
atroni [7]

Answer:

y = 18  and  x = -2

Step-by-step explanation:

y = x^2+bx+c   To find the turning point, or vertex, of this parabola, we need to work out the values of the coefficients b and c. We are given two different solutions of the equation. First, (2, 0).  Second, (0, -14). So we have a value (-14) for c. We can substitute that into our first equation to find b. We can now plug in our values for b and c into the equation to get its standard form. To find the vertex, we can convert this equation to vertex form by completing the square. Thus, the vertex is (4.5, –6.25). We can confirm the solution graphically     Plugging in  (2,0) :

y=x2+bx+c  

0=(2)^2+b(2)+c  

y=4+2b+c  

-2b=4+c  

b=-2+2c  

Plugging in  (0,−14) :

y=x2+bx+c  

−14=(0)2+b(0)+c  

−16=0+b+c  

b=16−c  

Now that we have two equations isolated for  b , we can simply use substitution and solve for  c .   y=x2+bx+c  16 + 2 = y   y = 18  and  x = -2

4 0
3 years ago
This season, the probability that the Yankees will win a game is 0.49 and the probability that the Yankees will score 5 or more
yanalaym [24]

Answer:

0.226 = 22.6% probability that the Yankees will lose when they score 5 or more runs

Step-by-step explanation:

Conditional probability:

We use the conditional probability formula to solve this question. It is

In which

P(B|A) is the probability of event B happening, given that A happened.

is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

If the Yankees score 5 or more runs, either they win, or they lose. The sum of these probabilities is 1.

Probability that the Yankees win:

Event A: Scoring 5 or more runs.

Event B: Winning

The probability that the Yankees will score 5 or more runs in a game is 0.53.

This means that

The probability that the Yankees win and score 5 or more runs is 0.41.

This means that

So

0.774 probability that the Yankees will win when they score 5 or more runs

What is the probability that the Yankees will lose when they score 5 or more runs?

p + 0.774 = 1

p = 1 - 0.774

p = 0.226

0.226 = 22.6% probability that the Yankees will lose when they score 5 or more runs

4 0
3 years ago
Launa bought 20 pizzas for a party. How many pieces of pizza will she have if she divides them each into eighths? A 20 B 190 C16
mart [117]

Answer:

D. 160 pieces of pizza!

Step-by-step explanation:

If each pizza is cut into 8 pieces you would multiply 20 by eight and you get 160. Hope this helps! Have a great day!

5 0
3 years ago
Here is the problem: (Picture)
jolli1 [7]

Answer:

c

Step-by-step explanation:

6 0
3 years ago
Y=-1\4z+5 please grqph
svet-max [94.6K]

Answer

Attached the graph

Step by step explanation

Y = -1/4z + 5

Let's form the table values

Here z is the independent variable and y is the dependent values.

Let's take z = -1, 0, 1, 2 and find the corresponding y-values

<u>z                           y</u>

-1                         5.25

0                          5

1                           4.75

2                           4.5

Now let's plot the points and draw the graph.

Here is the graph.

5 0
4 years ago
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