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zaharov [31]
4 years ago
14

Choose the inequality that represents the following graph.

Mathematics
2 answers:
Dmitry [639]4 years ago
4 0

Answer:

A i think

Step-by-step explanation:

QveST [7]4 years ago
4 0

Answer:

B... -8<x

Step-by-step explanation:

When looking at the graph, we can see the arrow goes to the right, which means it will be that x is greater than whatever number. The open circle is on -8, so we know x is bigger than -8! Hope this helps

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A ball is shot straight up from the top of a 15-story building. The motion of the ball could be described by the function: h(t)=
viktelen [127]

Answer:

  • After 4 seconds the height is 480 meters.
  • The maximum height is 484 meters.
  • The ball hits the ground after 10 seconds

Step-by-step explanation:

The height after four seconds is h(4) = -16 * r² + 144*4+160 = 480

The maximum height of the ball is the value it takes at its vertex 'v = -b/2a'. In this case a = -16 and b = 144, so the v = -144/-32 = 4.5. The maximum height of the ball as a result is h(4.5) = -16 (4.5)² + 144*4.5 + 160 = 484

To find the moment the ball hits the ground, we need to find when h takes the value 0 by using the quadratic formula, with a = -16, b = 144 and c = 160.

r_1,r_2 = \frac{-144 \, ^+_- \sqrt{144^2-4*(-16)*160}}{2*(-16)} = \frac{-144 \, ^+_- \sqrt{30976}}{-32} = \frac{-144 \, ^+_- 176}{-32} = -1, 10

Since t cant take negative values, then the correct value is 10. The ball hits the ground after 10 seconds.

7 0
3 years ago
(b) Only one of the sets can contain all five correct answers. If you are guessing, so that you are as likely to choose one sequ
shepuryov [24]

Solution :

Given that there is only one set which can contain all the five correct answers. While guessing that I am likely to choose only one sequence of the answers as another, then the probability of getting all the five answers correct  is given by :

Given : X \sim binomial $\left( 5 , \frac{1}{3} \right)$

P (X = 5)

$= \ ^5C_5\left({\frac{1}{3}\right)^5\left(\frac{2}{3}\right)^0$

= 0.00412

Thus the probability is 0.00412

8 0
3 years ago
Solve the following system of equations. Enter the y-coordinate of the solution. Round your answer to the nearest tenth.
ankoles [38]
Lets try substitution5x+2y=21=5x=21-2y=x=(21-2y)/5

sub into second equation

-2(21-2y)/5+6y=-34(-42+4y)/5+6y=-34solve for yy=-64/17plug into equation and solve for x=(97/17) 



7 0
3 years ago
Read 2 more answers
Riley makes a mistake in step 2 while doing her homework. What was her mistake? StartFraction x Over x squared minus 5 x + 6 End
kobusy [5.1K]

Answer:

The answer is:

She used the wrong common denominator

Step-by-step explanation:

Solving the given equation

\frac{x}{x^2-5x+6}+\frac{x}{x+3}\\\\Step 1: \frac{x}{(x-2)(x-3)}+\frac{x}{x+3}\\Step2: \frac{x}{(x-2)(x-3)}+\frac{x(x-2)}{(x-2)(x+3)}\\Step3:\frac{x(x+3)+x(x-2)(x+3)}{(x-2)(x-3)(x+3)}

Lets consider the steps given in the question:

Step2: \frac{x}{(x-2)(x+3)}+\frac{3(x-2)}{(x-2)(x+3)}

Step3: \frac{x+3(x-2)}{(x-2)(x+3)}\\

Lets compare both solutions:

In the original solution, the denominator of first term is (x-2)(x-3)

In the solution given in the question, the denominator of first term is (x-2)(x+3).

So the mistake she did in step 2 was that she change the sign of 3 in (x-3) from negative to positive, due to which she gets the wrong common denominator shown in Step 3.

7 0
4 years ago
Read 2 more answers
Emma buys and sells truck parts. She bought two tires for $35.00 each and later sold them for $65.00
hodyreva [135]

i don't know

Step-by-step explanation:

6 0
3 years ago
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