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Sphinxa [80]
3 years ago
11

10. Marvin is painting three squares shaped like

Mathematics
1 answer:
guapka [62]3 years ago
6 0

Answer:

A certain cube has a side length of 25 m.  How many square tiles, each with an area of 5 m2, are needed to fully cover the surface of the cube?

Possible Answers:

500

1000

200

100

750

Correct answer:

750

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The point (3, 6) is on the graph of y= 5f(2(x+3))-4 . Find the original point on the graph of y=f(x).
Sonja [21]

Answer:

<em>(12, 2)</em> is the original point on the graph of y=f(x).

Step-by-step explanation:

<u>Given:</u>

y= 5f(2(x+3))-4 has a point <em>(3, 6)</em> on its graph.

<u>To find:</u>

Original point on graph y=f(x) = ?.

<u>Solution:</u>

We are given that The point (3, 6) is on the graph of y= 5f(2(x+3))-4

If we put x = 3 and y = 6 in y= 5f(2(x+3))-4, it will satisfy the equation.

Let us the put the values and observe:

6= 5f(2(3+3))-4\\\Rightarrow 6= 5f(2(6))-4\\\Rightarrow 6= 5f(12)-4\\\Rightarrow 6+4=5f(12)\\\Rightarrow 5f(12)= 6+4\\\Rightarrow 5f(12)= 10\\\Rightarrow f(12)= \dfrac{10}{5}\\\Rightarrow f(12)= 2\\OR\\\Rightarrow 2=f(12)

Now, let us compare the above with the following:

y=f(x)

we get y = 2 and x = 12

So, the original point on graph of y=f(x) is <em>(12, 2).</em>

7 0
3 years ago
What are the Properties of a function
Dima020 [189]

Answer:

A function is a relation in which each possible input value leads to exactly one output value

4 0
3 years ago
Question 2 Multiple Choice Worth 1 points)
umka21 [38]

Answer:

-1 or 4

Step-by-step explanation:

f(x) = g(x)

-x^2 + 4x + 12=x + 8

-x^2+3x+4=0

(x+1)(x-4)=0

x=-1,x=4

4 0
3 years ago
Please help!!!!!!!!!!!!!!!!!! -3x+2 less than 8
sleet_krkn [62]
-3x+2 < 8
-2 -2
-3 /-3x <6/-3
x >-2

So x>-2
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
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