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Anon25 [30]
4 years ago
12

Can someone help me with these questions please?

Mathematics
1 answer:
kotykmax [81]4 years ago
3 0

Step-by-step explanation:

You can solve systems of equations using either substitution or elimination.  For these problems, I recommend elimination.  I'll do the first one as an example.

-3x + 16y = 9

-4x + 8y = 12

Multiply the second equation by -2.

8x − 16y = -24

Add to the first equation (notice the y's cancel out).

(-3x + 16y) + (8x − 16y) = 9 − 24

5x = -15

Solve for x.

x = -3

Now you can plug this into either equation to find y.

-3(-3) + 16y = 9

9 + 16y = 9

y = 0

The solution is (-3, 0).

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The function h(t) = 300 – 16t represents the height of a ball (in feet) dropped from 300 feet after t seconds. What will be the
Vaselesa [24]
We are given the function expressed as:

<span>h(t) = 300 – 16t

where h is the height of the ball in time t.

We calculate the height at time equal to 2.4 seconds as follows:

</span>h(t) = 300 – 16(2.4)
h(t) = 261.6 ft

Hope this answers the question. Have a nice day.
4 0
4 years ago
Find the equation of the line that passes through (3,1) and is parallel to y=2x+1.
creativ13 [48]

9514 1404 393

Answer:

  y = 2x -5

Step-by-step explanation:

The parallel line will differ only in the value of c. That can be found using the given point.

  y = mx +c

  c = y -mx . . . . . . subtract mx to solve for c

  c = 1 -2·3 = -5 . . . . . . the value of m is 2 in the given equation (x, y) = (3, 1)

The equation of the parallel line is ...

  y = 2x -5

7 0
3 years ago
According to police sources, a car with a certain protection system will be recovered 87% of the time. Find the probability that
WITCHER [35]

Answer: 0.01145

Step-by-step explanation:

We use Binomial distribution , where the probability of getting x successes in n trial is given by :-

P(x)=^nC_xp^x(1-p)^{n-x} , p = probability of getting each success in each trial.

As per given

The proportion that a car with a certain protection system will be recovered= p=0.87

n= 8

Let x be the number of cars will be recovered.

Then, the probability that 4 of 8 stolen cars will be recovered:

P(X=4)=^8C_4(0.87)^4(1-0.87)^{8-4}

=\dfrac{8!}{4!(8-4)!}(0.87)^4(0.13)^4\\\\= 70(0.57289761)(0.00028561)\\\\=0.0114537700474\approx0.01145

Hence, the required probability is 0.01145.

5 0
3 years ago
A function is shown in the table:
Ipatiy [6.2K]

Answer:

The function is increasing from x = -2 to x = -1.

Step-by-step explanation:

The graph starts at -2 and is increasing by 1. it would not be "The function is increasing from x = 0 to x = 1" because it does not start at 0. it starts at -2. even though they both increase by 1, the starting point answer is always the best option.

8 0
3 years ago
PLEASE ANSWER THIS!! 16 POINTS!<br><br> (2/3)*2 + 1/2
alexira [117]

Answer:

=7/6

Step-by-step explanation:

Join 4/3=1:7/3

7/3/2

Apply the fraction rule:=

7/3x2

Multiply the numbers=

7/6

5 0
3 years ago
Read 2 more answers
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