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swat32
4 years ago
12

The age of a father is 3 times the age of his son. 5 years ago, the father was 4

Mathematics
1 answer:
LUCKY_DIMON [66]4 years ago
3 0

Answer:

Step-by-step explanation:

x = father's age

y = son's age

Nowadays:

3x = y

5 years ago:

4(x - 5) = y - 5

4x - 20 = y - 5

4x = y + 15

I hope I've helped you.

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Which two points satisfy y=-x2(^)+2x+4 and x+y=4?
Wewaii [24]
Use subtitution method to solve the problem.

First, change y to the value of x in order to find the exact value of x.
x + y = 4
y = 4 - x

Second, subtitute y with 4 - x from the first equation
y = -x² + 2x + 4
4 - x = -x² + 2x + 4
move all terms to the left side
x² - 2x - x + 4 - 4 = 0
x² - 3x = 0
x(x - 3) = 0
x = 0 or x = 3

Third, now we have 2 values of x. Find the value of y for each of x
For x = 0
y = 4 - x
y = 4 - 0
y = 4

For x = 3
y = 4 - x
y = 4 - 3
y = 1

The solution is (0,4) and (3,1). The answer is option b
5 0
3 years ago
Evaluate C_n.xP^xQn-x For the given n=7, x=2, p=1/2
r-ruslan [8.4K]

Answer:

The value of given expression is \frac{21}{128}.

Step-by-step explanation:

Given information: n=7, x=2, p=1/2

q=1-p=1-\frac{1}{2}=\frac{1}{2}

The given expression is

C(n,x)p^xq^{n-x}

It can be written as

^nC_xp^xq^{n-x}

Substitute n=7, x=2, p=1/2 and q=1/2 in the above formula.

^7C_2(\frac{1}{2})^2(\frac{1}{2})^{7-2}

\frac{7!}{2!(7-2)!}(\frac{1}{2})^2(\frac{1}{2})^{5}

\frac{7!}{2!5!}(\frac{1}{2})^{2+5}

\frac{7\times 6\times 5!}{2\times 5!}(\frac{1}{2})^{2+5}

21(\frac{1}{2})^{7}

\frac{21}{128}

Therefore the value of given expression is \frac{21}{128}.

7 0
3 years ago
A Cab charges $1.75 for the flat fee and $0.25 for each mile. Write and solve an inequality to determine how many miles Eddies c
NemiM [27]
1.75 + 0.25x ≤ 15
where x is equal the number of miles.

The key to solving an inequality is just temporarily making the ≤ symbol a =. Then solve for x like any other algebraic equation. Once you find the value of x, you will have solved the inequality. Make sure to add back the ≤ when you are done. 

15 - 1.75 = 13.25
13.25/0.25 = x 
x = 53
add back the ≤
x ≤ 53
This means Eddies can travel up to 53 miles with his $15.
4 0
4 years ago
in the previous problem , ken predicted a drop in temperature . Explain why a drop in temperature would lead to adding a negativ
Rufina [12.5K]

Answer:

ejdencrejnoqnf3enrn3nf god is greatttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttt

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
What is the difference between 2,386 and 7,000?<br> A. 9,386<br> B. 4,614<br> C. 5,614<br> D. 10,386
Anuta_ua [19.1K]
If you would like to know what is the difference between 7000 and 2386, you can calculate this using the following steps:

difference between 7000 and 2386:
7000 - 2386 = 4614

The correct result would be B. 4614.
7 0
3 years ago
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