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2 years ago

6

What is the solution of the system of equations shown below? y = –x + 3 y = 4x – 2

2 answers:

professor190 [17]2 years ago

8 0

$y=-x+3~~.....(i)\\\\y = 4x-2~~....(ii)\\\\\text{Substitute}~ y = -x+3~ \text{in equation (ii):}\\\\\\-x+3 = 4x-2\\\\\implies 4x +x = 3+2\\\\\implies 5x = 5\\\\\implies x = \dfrac 55 =1\\\\\\\text{Substitute x= 1 in equation (i):}\\\\y= -1 +3 = 2\\\\\text{Hence}~ (x,y)=(1,2)$

vladimir2022 [97]2 years ago

7 0

Answer:

b

Step-by-step explanation:

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murzikaleks [220]

Answer:

$\frac{ \sqrt{5x} }{5x}$

Step-by-step explanation:

$\frac{1}{ \sqrt{x5} }$

$= \frac{1}{ \sqrt{5x} }$

$= \frac{1}{ \sqrt{5x} } \times \frac{ \sqrt{5x} }{ \sqrt{5x} }$

$= \frac{1 \sqrt{5x} }{ \sqrt{5x \sqrt{5x} } }$

$= \frac{\sqrt{5x} }{ \sqrt{5x \sqrt{5x} } }$

$= \frac{ \sqrt{5x} }{5x}$

8 0

3 years ago

In a game, players roll a 6-sided dice. Each side has dots ranging from 1 dot to 6 dots. For the player to win the prize, a dice

EleoNora [17]

Answer:

1/6 cause there is a 1 in 6 chance each time you roll the die

Step-by-step explanation:

7 0

3 years ago

Which equation is the inverse of y = 16x2 + 1?

Llana [10]

Answer:

$y=\frac{\sqrt{x-1} }{4}$

Step-by-step explanation:

The given equation is

$y=16x^2+1$

For this function to have an inverse, we must restrict the domain, say $x\ge0$

We interchange x and y to get,

$x=16y^2+1$

We now make y the subject to get;

$x-1=16y^2$

$x-1=16y^2$

We divide through by 16 to get;

$\frac{x-1}{16}=y^2$

We now take the square root of both sides to get;

$\pm \sqrt{\frac{x-1}{16}}=y$

$y=\pm \frac{\sqrt{x-1} }{4}$

Since $x\ge 0$ , the inverse function is

$y=\frac{\sqrt{x-1} }{4}$

6 0

3 years ago

Layla went shopping for camping equipment. After looking at several different stores, she bought a tent for $163.63 and a sleepi

Ghella [55]

Answer:

$297.09

Step-by-step explanation:

To answer this question, just add:

163.63 + 133.46 = 297.09

So, Layla spent $297.09 in all

Hope this helps :)

5 0

3 years ago

Use the discriminat to describe the roots of each equation. Then select the best description 16x^2+8x+1=0

astra-53 [7]

Answer:

A

Step-by-step explanation:

Discriminant= 8^2-4(16)(1)

=0

7 0

3 years ago