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MAXImum [283]
3 years ago
14

The function g(x)=(x-2)^2. The function f(x)=g(x)+3. How much is f(x) shifted horizontally and vertically from g(x)?

Mathematics
1 answer:
Vilka [71]3 years ago
5 0
For this case we have the following function transformation:
 Vertical displacement.
 Assume k> 0
 If f (x) is the original function, f (x) + k is the original function with a vertical displacement k units up.
 Answer:
 
Part 1:
 
C. The function is not shifted horizontally from g (x)
 
Part 2:
 
A. 3 units up from g (x)
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Solve for x.<br> 5(х – 10) = 30 — 15х<br> ox = 1<br> ox = 4<br> ox = 5<br> ох= 8<br> х = 8
Liula [17]

Answer:

x = 4

Step-by-step explanation:

Carry out the multiplication:

5(х – 10) = 30 — 15х => 5x - 50 = 30 - 15x

Combining the x terms, we get:

20x - 50 = 30

Combining the constants on the right side:

20x = 80

Dividing both sides by 20 yields x = 4 (second given answer)

4 0
3 years ago
#11 (Angles with Equations) In the figure below, 2POR is 180°.
lina2011 [118]

Answer:

55

Step-by-step explanation:

The three angles form a straight line, so they add to 180.

x + x + 70 = 180

Combine like terms

2x+70 =180

Subtract 70 from each side

2x+70-70 =180-70

2x= 110

Divide by 2

x = 55

SQT = x

So SQT = 55

4 0
3 years ago
If the probability of success during a single event of a geometric experiment is 0.34, what is the probability of success on the
Paraphin [41]

Since, the probability of success during a single event of a geometric experiment is 0.34.

We have to find the probability of success on the 6th event.

Since it is a geometric experiment. So, when a discrete random variable 'X' is said to have a geometric distribution then it has a probability density function (p.d.f.) of the form:


P= q^{x-1}p, where q = 1 - p

So, now

P = q^{x-1}p

where 'p' is the probability of success and 'q' is the probability of failure and x is the number of events.

Since the probability of success (p)is 0.34

Therefore, probability of failure(q)= 1 - p

= 1 - 0.34

= 0.66

and x = 6

So, P = q^{x-1}p

= (0.66)^{6-1} \times 0.34

= (0.66)^{5} \times 0.34

= 0.0425

So, the nearest tenth of a percent of probability of success on the 6th event =

4.257 %

Rounding to the nearest tenth, we get

= 4.3%

So, Option A is the correct answer.

4 0
3 years ago
Read 2 more answers
Write the phrase as an expression. Then evaluate when y=20.
alisha [4.7K]

Answer:

Q=\frac{40}{y-16}

Q=10

Step-by-step explanation:

Let the quotient be represented by 'Q'.

Given:

The difference of a number 'y' and 16 is y-16

Quotient is the answer that we get on dividing two terms. Here, the first term is 40 and the second term is y-16. So, we divide both these terms to get an expression for 'Q'.

The quotient of 40 and y-16 is given as:

Q=\frac{40}{y-16}

Now, we need to find the quotient when y=20. Plug in 20 for 'y' in the above expression and evaluate the quotient 'Q'. This gives,

Q=\frac{40}{20-16}\\Q=\frac{40}{4}=10

Therefore, the quotient is 10, when the value of 'y' is 20.

7 0
4 years ago
If arc FBE is 300°, what is the measure of angle 4?
9966 [12]

Answer:

30 degrees

Step-by-step explanation:

8 0
3 years ago
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