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3 years ago

Given that (2,4) is on the graph of f(x), find the corresponding point for the function f(x)-5

Mathematics

1 answer:

miv72 [106K]3 years ago

5 0

(2,4)=(x,f(x))→x=2, f(x)=4

f(x)-5=4-5→f(x)-5=-1

The corresponding point for the function f(x)-5 is (x,f(x)-5)=(2,-1)

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Simplify the expression and write the result in standard form, a+bi.<br><br> 6 - 8i / -2

gregori [183]

Answer:

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3 years ago

The probability that a certain kind of component will survive a shock test is 3/4. Find the probability that exactly 2 of the ne

Marina86 [1]

Answer:

Therefore the required probability is $=\frac{27}{128}$

Step-by-step explanation:

The probability of success is $\frac{3}{4}$

The number of trial = 4

X= the items survive out of 4

$P(x=r)=^nC_rq^{n-r}p^r$ p =the probability of success and q = the probability failure.

p= $\frac{3}{4}$ and $q=(1-\frac{3}{4})=\frac{1}{4}$

$\therefore P(X=2)=^4C_2(\frac{1}{4} )^2(\frac{3}{4} )^2$

$=\frac{4!}{2!2!} (\frac{1}{16} )(\frac{9}{16} )$

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Therefore the required probability is $=\frac{27}{128}$

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4 years ago

What is the correct factorization of x² - 11x + 18?

boyakko [2]

C because I did the math on an app so it’s right

8 0

3 years ago

A group of cyclists went bike riding during a 7-day vacation. They biked 131 miles in the first three days. By the end of their

Nezavi [6.7K]

Answer: 156 miles

Step-by-step explanation:

Given, A group of cyclists went bike riding during a 7-day vacation.

Total distance they biked in first three days = 131 miles

Total distance they biked by the end of the vacation ( i.e. in 7 days ) = 287 miles

Then, the total distance they biked in last four days would be=

(Total distance they biked in 7 days ) - (Total distance they biked in first 3 days )

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Hence, they biked 156 miles in last 4 days.

7 0

3 years ago

Please help me with these two math problems that I do not quite understand. This is urgent!

g100num [7]

Answer:

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2) $a_{10}=4+8(10-1)\Rightarrow a_{10}=76$

Step-by-step explanation:

1) To write an Arithmetic Sequence, as an Explicit Term, is to write a general formula to find any term for this sequence following this pattern:

$a_{n}=a_{1}+d(n-1)\Rightarrow \left\{\begin{matrix}a_{n}=n^{th}\: term\\a_1=1st \: term \\d=\: difference\\n=n^{th}\, term\end{matrix}\right.$

<em>"Write an explicit formula for each explicit formula A(n)=-1+(n-1)(-2)"</em>

This isn't quite clear. So, assuming you meant

Write an explicit formula for each term of this sequence A(n)=-1+(n-1)(-2)

As this A(n)=-1+(n-1)(-2) is already an Explicit Formula, since it is given the first term $a_{1}=-1$ the common difference $d=-2$ let's find some terms of this Sequence through this Explicit Formula:

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2) $(4,12,20,28, ..)$ In this Arithmetic Sequence the common difference is 8, the first term value is 4.

Then, just plug in the first term and the common difference into the explicit formula:

$a_{10}=4+8(10-1)\Rightarrow a_{10}=76$

6 0

3 years ago