If a function has a rule of y=5x+2 what is the output when the input is 4

Questionner

geniusboy [140]

Step-by-step explanation:

Hey there!

Here,

Given, The midpoint of two points is (11,-5). And another coordinate is (19,-14).

We need to find tge missing coordinate.

Let (x,y) be another endpoint of line.

So, Using midpoint formula,

$(x,y) = (\frac{x1 + x2}{2} ,\frac{y1 + y2}{2} )$

Put all values.

$(11, - 5) = \frac{19 + x}{2} ,\frac{ - 14 + y}{2}$

Since they are equal, equating with their corresponding elements we get,

$11 = \frac{19 + x}{2}$

Simplify it.

$22 = 19 + x$

$x = 22 - 19$

Therefore the value of x is 3.

Again,

$- 5 = \frac{ - 14 + y}{2}$

$- 10 = - 14 + y$

$y = - 10 + 14$

Therefore the value of y is 4.

So, the coordinates are (3,4).

Hope it helps.....

4 0

3 years ago

Using the quadratic formula to solve 4x^2-3x+9=2x+1, what are the values of x?

labwork [276]

Rewrite 4x^2-3x+9=2x+1 as 4x^2-5x+8 = 0

Here, a = 4, b = -5 and c = 8. Then,

5 plus or minus sqrt (25 -4(4)(8) )

x = ------------------------------------------------------

8

5 plus or minus sqrt (-103)

= --------------------------------------

8

5 plus or minus i*sqrt(103)

Then x = ----------------------------------------

8

= ---------------------------------------------

8

= ----------------------------

7 0

3 years ago

What 4 numbers adding give you a sum of 15

alekssr [168]

Answer: 6 and 9, 7 and 8. 69, 78, 87, 96. So, there are only 4 combinations which would result in 15.

Step-by-step explanation:

Therefore the average sum of three numbers is 45:3=15. The number 15 is called the magic number of the 3x3 square. You can also achieve 15, if you add the middle number 5 three times. The odd numbers 1,3,7, and 9 occur twice in the reductions, the even numbers 2,4,6,8 three times and the number 5 once.

4 0

3 years ago

Read 2 more answers

Compute P(X) using the binomial probability formula. Then determine whether the normal distribution can be used to estimate thi

MAXImum [283]

Answer and Step-by-step explanation: P(X) calculated by the binomial probability formula is:

P(X) = $\left[\begin{array}{ccc}n\\X\end{array}\right]$ . $p^{x}.(1-p)^{n-x}$

P(20) = $\left[\begin{array}{ccc}53\\20\end{array}\right] .(0.3)^{20}.(1-0.3)^{33}$

P(20) = $\frac{53!}{33!.20!}.3.5.10^{-11}.7.7.10^{-6}$

P(20) = 0.0552

To determine whether the normal distribution can be used to estimate this probability, both n.p and n.(1-p) must be greater than 5:

n . p = 53*0.3 = 15.9

n.(1-p) = 53(1-0.3) = 37.1

Since both ARE greater than 5, normal distribution can be used.

To approximate:

mean = n . p = 15.9

standard deviation = $\sqrt{n.p.(1-p)}$ = 3.34

Find the z-score:

z = $\frac{x - mean}{sd}$ = $\frac{20-15.9}{3.34} = 1.23$

z-score = 0.8907

Comparing values:

0.8907 - 0.0552 = 0.8355

6 0

3 years ago

A man is five times as old as his son. Four years ago, he was nine times as old. Find their present ages.

Aleonysh [2.5K]

Let us assume the age of the son now = x
Then
The age of the man now = 5x
Now we have to calculate the age of the son and father 9 years ago
Age of the son 4 years ago = x - 4
Age of the man 4 years ago = 5x - 4
Then
5x - 4 = 9(x - 4)
5x - 4 = 9x - 36
5x - 9x = -36 + 4
- 4x = - 32
MUltiplying both sides of the equation by -1 we get
4x = 32
x = 32/4
= 8
So the present age of the son is 8 years
Present age of the man = 5x
= 5 * 8
= 40 years
So the present age of the man is 40 years and the present age of the son is 8 years.

8 0

3 years ago