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bulgar [2K]
3 years ago
8

What is the slope of the line 4x – 2y = 10? Explain your process (show your steps) for determining the slope.​

Mathematics
1 answer:
Leni [432]3 years ago
6 0
Solve for y.
subtract 4x from both sides
-2y = -4x + 10
divide everything by -2
y = 2x - 5
slope intercept form is y = mx + b, with m being the slope, so 2 is your slope
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If x-y =8 find the value of y when x=3
DedPeter [7]
Answer: y = -5

Substitute in 3 for x.
x - y = 8                            Substitution
3 - y = 8                            Subtract 3 from both sides
-y = 5                                Divide by -1 to both sides
y = -5                                Answer!

You can also check your work.
x - y = 8       
3 - (-5) = 8                  
3 + 5 = 8                        
8 = 8                                

8 0
3 years ago
Factor x2 + 10x – 18. prime (x + 3)(x – 6) (x – 2)(x – 9) (x – 2)(x + 5)
Marta_Voda [28]

Answer:

prime

Step-by-step explanation:

x^2 + 10x – 18

What two numbers multiply to -18 and add to +10

There are no numbers that multiply to -18 and add to 10

-1 *18 = -18   -1 +18 = 17

-2 *9 = -18   -2 +9 = 7

This cannot be factored

8 0
3 years ago
Log√30 - log√6 + log√2
Arada [10]

Assuming, it's decimal logarithm.

<h3>\log\sqrt{30}-\log\sqrt6+\log\sqrt2=\log\dfrac{\sqrt{30}\cdot\sqrt2}{\sqrt6}=\log \sqrt{10}=\dfrac{1}{2}\log 10=\dfrac{1}{2}\cdot 1=\dfrac{1}{2}</h3>
3 0
3 years ago
5.
Vlada [557]

Answer: 1.26 inches

explanation :

because if you subtract 7 by 3.2 you'll get

3.8, 3.8 will be the total of rain if you add week 1 2 4 , then youll have to find the average by dividing 3.8 by 3 youll get 1.26 . so that means the average lenth of the rain for 1 2 4 is 1.26 inches

6 0
3 years ago
and are independent Gaussian (Normal) random Variables. has mean 13.9 and variance 5.2; has mean 6.9 and variance 3.8. . (a) Cal
omeli [17]

This question is incomplete, the complete question is;

X and Y are independent Gaussian (Normal) random Variables. X has mean 13.9 and variance 5.2; Y has mean 6.9 and variance 3.8. . (a) Calculate P( W> 10)

Answer:

P( W> 10) is 0.1587

Step-by-step explanation:

Given that;

X ⇒ N( 13.9, 5.2 )

Y ⇒ N( 6.9, 3.8 )

W = X - Y

Therefore

E(W) = E(X) - E(Y)

= 13.9 - 6.9 = 7

Var(W) = Var(X) + Var(Y) -2COV(X.Y)

[ COV(X,Y) = 0 because they are independent]

Var(W) = 5.2 + 3.8 + 0

= 9

Therefore

W ⇒ N( 7, 9 )

so

P( W > 10 )

= 1 - P( W ≤ 10 )

= 1 - P( W-7 /3   ≤   10-7 /3 )

= 1 - P( Z ≤ 1 )           [ Z = W-7 / 3 ⇒ N(0, 1)  ]

from Standard normal distribution table, P( Z ≤ 1 )  = 0.8413

so

1 - P( Z ≤ 1 )  = 1 - 0.8413 = 0.1587

Therefore P( W> 10) is 0.1587

8 0
3 years ago
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