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Bas_tet [7]
3 years ago
11

Evaluate the function f (x) = 4 • 7x for x = -1 and x = 2

Mathematics
2 answers:
coldgirl [10]3 years ago
5 0
F(x) = 4 x 7x

f(x) = 4 x 7(-1)
f(x) = 4 x (-7)
f(x) = -28
(-1, -28)

f(x) = 4 x 7(2)
f(x) = 4 x 14
f(x) = 56
(2, 56)

Hope this helps!!
~Kiwi
algol133 years ago
4 0
F(x)=56 and the order pair of the graph is (2,56)
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Someone pls help me i can’t pass this quiz lol
Sophie [7]

Answer:

60ft

Step-by-step explanation:

h x 20 = 120

h=120/20

h=60

8 0
3 years ago
Lie detectors have a 15% chance of concluding that a person is lying even when they are telling the truth. a bank conducts inter
Otrada [13]
Part A:

Given that lie <span>detectors have a 15% chance of concluding that a person is lying even when they are telling the truth. Thus, lie detectors have a 85% chance of concluding that a person is telling the truth when they are indeed telling the truth.

The case that the lie detector correctly determined that a selected person is saying the truth has a probability of 0.85
Thus p = 0.85

Thus, the probability that </span>the lie detector will conclude that all 15 are telling the truth if <span>all 15 applicants tell the truth is given by:

</span>P(X)={ ^nC_xp^xq^{n-x}} \\  \\ \Rightarrow P(15)={ ^{15}C_{15}(0.85)^{15}(0.15)^0} \\  \\ =1\times0.0874\times1=0.0874
<span>

</span>Part B:

Given that lie detectors have a 15% chance of concluding that a person is lying even when they are telling the truth. Thus, lie detectors have a 85% chance of concluding that a person is telling the truth when they are indeed telling the truth.

The case that the lie detector wrongly determined that a selected person is lying when the person is actually saying the truth has a probability of 0.25
Thus p = 0.15

Thus, the probability that the lie detector will conclude that at least 1 is lying if all 15 applicants tell the truth is given by:

P(X)={ ^nC_xp^xq^{n-x}} \\ \\ \Rightarrow P(X\geq1)=1-P(0) \\  \\ =1-{ ^{15}C_0(0.15)^0(0.85)^{15}} \\ \\ =1-1\times1\times0.0874=1-0.0874 \\  \\ =0.9126


Part C:

Given that lie detectors have a 15% chance of concluding that a person is lying even when they are telling the truth. Thus, lie detectors have a 85% chance of concluding that a person is telling the truth when they are indeed telling the truth.

The case that the lie detector wrongly determined that a selected person is lying when the person is actually saying the truth has a probability of 0.15
Thus p = 0.15

The mean is given by:

\mu=npq \\  \\ =15\times0.15\times0.85 \\  \\ =1.9125


Part D:

Given that lie detectors have a 15% chance of concluding that a person is lying even when they are telling the truth. Thus, lie detectors have a 85% chance of concluding that a person is telling the truth when they are indeed telling the truth.

The case that the lie detector wrongly determined that a selected person is lying when the person is actually saying the truth has a probability of 0.15
Thus p = 0.15

The <span>probability that the number of truthful applicants classified as liars is greater than the mean is given by:

</span>P(X\ \textgreater \ \mu)=P(X\ \textgreater \ 1.9125) \\  \\ 1-[P(0)+P(1)]
<span>
</span>P(1)={ ^{15}C_1(0.15)^1(0.85)^{14}} \\  \\ =15\times0.15\times0.1028=0.2312<span>
</span>
8 0
4 years ago
The function h(x) = 1/2 (x+3)2 +2. How is the graph of the h(x) translated from the parent graph of a quadratic function, F(x) =
Natali5045456 [20]
For this case, the parent function is given by:
 F (x) = x ^ 2&#10;
 We apply the following function transformation:
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 To graph y = a * f (x)
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 We have then:
 y = (1/2) * x ^ 2&#10;
 Horizontal translations:
 Suppose that h> 0
 To graph y = f (x + h), move the graph of h units to the left.
 We have then:
 y = (1/2) * (x + 3) ^ 2&#10;
 Vertical translations:
 Suppose that k> 0
 To graph y = f (x) + k, move the graph of k units up.
 We have then:
 h (x) = (1/2) * (x + 3) ^ 2 + 2&#10;
 Answer:
 
Vertical compression by factor of 1/2. Horizontal displacement 3 units to the left. Vertical displacement 2 units up.
3 0
3 years ago
8+x/-9=9<br><br> Please solve this equation and show your work!
Oduvanchick [21]
8+(x/-9)=9               subtract 8 

x/-9= 1                     multiply by -9 

x= -9

7 0
3 years ago
Read 2 more answers
If m=2,n=5 and y =3, evaluate
svlad2 [7]

Answer:

here you go :)

Step-by-step explanation:

Replace the variables with their corresponding values:

\frac{2(5+3)}{2*5}

Cancel out 2 in both numerator and denominator.

\frac{3+5}{5}

Add 3 and 5 to get 8.

\frac{8}{5}

Finally, divide 8 by 5 to get your answer:

\frac{8}{5} = 1.6

Your answer is (a) 1.6

<h2>Hope this helps! :)</h2>
3 0
2 years ago
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