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2 years ago

What is the solution to this linear system?

Mathematics

1 answer:

sashaice [31]2 years ago

5 0

Answer:

(2,7)

Step-by-step explanation:

The point where the two linear line intersect is the solution of this problem.

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A bag contains Red, Green and Yellow balls. A ball is taken at random from the bag. The probability that it is Red is 0.35 and t

Eddi Din [679]

Answer:

P(Yellow)=0.25
P(Not Red)=0.65

Step-by-step explanation:

P(Red)=0.35

P(Green)=0.4

(a)Since there are three colours inside the bag

P(Red)+P(Green)+P(Yellow)=1

0.35+0.4+P(Yellow)=1

P(Yellow)=1-(0.35+0.4)

P(Yellow)=0.25

(b) In probability, the sum of an event and its complement is 1.

Therefore:

P(Red)+P(Not Red)=1

0.35+P(Not Red)=1

P(Not Red)=1-0.35

P(Not Red)=0.65

3 0

2 years ago

Differentiate y=x⁴(1-2x⁵)⁶(5-8x³)².

Liula [17]

Step-by-step explanation:

Let $y(x)=f(x)g(x)h(x)$ where

$f(x) = x^4$

$g(x)= (1 -2x^5)^6$

$h(x)= (5 - 8x^3)^2$

so that

$y(x) = x^4(1 -2x^5)^6(5 - 8x^3)^2$

Recall that the derivative of the product of functions is

$y'(x)=f'(x)g(x)h(x)+f(x)g'(x)h(x)+f(x)g(x)h'(x)$

so taking the derivatives of the individual functions, we get

$f'(x) = 4x^3$

$g'(x) = 6(1 - 2x^5)^5(-10x^4)$

$h'(x) = 2(5 - 8x^3)(-24x^2)$

So the derivative of y(x) is given by

$y'(x) = 4x^3(1 -2x^5)^6(5 - 8x^3)^2 + x^4 6(1 -2x^5)^5(-10x^4)(5 - 8x^3)^2 + x^4(1 -2x^5)^6 2(5 - 8x^3)(-24x^2)$

$y'(x) = 4x^3(1 -2x^5)^6(5 - 8x^3)^2$

$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:- 60x^8(1 -2x^5)^5(5 - 8x^3)^2$

$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:- 48x^6(1 -2x^5)^6 2(5 - 8x^3)$

3 0

2 years ago

Describe the relationship between x and why in a line with negative slope

bulgar [2K]

In a line with negative slope, as x increase, y decreases.

3 0

2 years ago

Haeden observed that 65% of her coworkers prefer the local talk news radio station. If 28 of her coworkers do not prefer talk ne

vekshin1

Part A

Let x represent the number of coworkers who prefer the talk news radio.

$65$ % prefer the talk news radio,

$100-65=35$ % will be the percentage that corresponds to coworkers who do not prefer the talk news radio.

Part B

We apply ratio to find x.

$65:x$

$35:28$

Hence number that corresponds to 65% will be greater than 28.

If more, less will divide.

This implies that,

$x=\frac{65\times 28}{35}=52$

Hence 52 of her coworkers prefer the local news talk station.

5 0

2 years ago

Triangle DEF, with vertices D(2, 5), E(6, 4), and F(3, 3), is reflected across the line y=x. A student determined one of the ver

4vir4ik [10]

The vertices of the image reflected over the line y = x are:
D´( 5 , 2 ), E´( 4, 6 ) and F´( 3, 3 ).
So ( 2, -5 ) is incorrect and it could be incorrectly reflected across over the x-axis.
Answer: B)

4 0

3 years ago

Read 2 more answers