What is the ratio of 5/7

What is the solution to the system of equations shown below 2x-y+z=4 4x-2y+2z=8 -x+3y-z+=5

jok3333 [9.3K]

Answer:

Step-by-step explanation:

2x - y + z = 4

4x - 2y + 2z = 8

-x + 3y - z = 5

2x - y + z = 4

-x + 3y - z = 5

x + 2y = 9

4x - 2y + 2z = 8

-2x + 6y - 2z = 10

2x + 4y = 18

x + 2y = 9

2x + 4y = 18

-2x - 4y = -18

2x + 4y = 18

0 =0

infinitely many solutions

8 0

3 years ago

Jesse drank 3/4 of liter of water Monday before going jogging. He drank 3/5 of a liter of water after his jog. How much water di

charle [14.2K]

Answer:

$1\frac{7}{20}$

Step-by-step explanation:

Step one

Given data

On Monday, Jesse drank 3/4 of liter of water before jogging

and drank 3/5 of liter after jogging

In all, Jesse drank 3/4 and 3/5 liters of water

= 3/4+3/5

the lcm is 20

=15+12/20

=27/20

in mixed numbers(i.e a whole and a fraction together we have) we have

$1\frac{7}{20}$

8 0

3 years ago

GIVING 20 POINTS<br> If a=4 b=8 c=2 d=7 e=3 f=9 g=10<br> What does bc-c³ equal?

kozerog [31]

Answer:

8

Step-by-step explanation:

b=8

c=2

(8)(2)-(2)^3 = 16-8 =8

6 0

3 years ago

Read 2 more answers

PLEASE HELP 100 POINTS!!!!!!

horrorfan [7]

Answer:

A) See attached for graph.

B) (-3, 0) (0, 0) (18, 0)

C) (-3, 0) ∪ [3, 18)

Step-by-step explanation:

Piecewise functions have <u>multiple pieces</u> of curves/lines where each piece corresponds to its definition over an <u>interval</u>.

Given piecewise function:

$g(x)=\begin{cases}x^3-9x \quad \quad \quad \quad \quad \textsf{if }x < 3\\-\log_4(x-2)+2 \quad \textsf{if }x\geq 3\end{cases}$

Therefore, the function has two definitions:

$g(x)=x^3-9x \quad \textsf{when x is less than 3}$

$g(x)=-\log_4(x-2)+2 \quad \textsf{when x is more than or equal to 3}$

When <u>graphing</u> piecewise functions:

Use an open circle where the value of x is <u>not included</u> in the interval.
Use a closed circle where the value of x is <u>included</u> in the interval.
Use an arrow to show that the function <u>continues indefinitely</u>.

<u>First piece of function</u>

Substitute the endpoint of the interval into the corresponding function:

$\implies g(3)=(3)^3-9(3)=0 \implies (3,0)$

Place an open circle at point (3, 0).

Graph the cubic curve, adding an arrow at the other endpoint to show it continues indefinitely as x → -∞.

<u>Second piece of function</u>

Substitute the endpoint of the interval into the corresponding function:

$\implies g(3)=-\log_4(3-2)+2=2 \implies (3,2)$

Place an closed circle at point (3, 2).

Graph the curve, adding an arrow at the other endpoint to show it continues indefinitely as x → ∞.

See attached for graph.

The x-intercepts are where the curve crosses the x-axis, so when y = 0.

Set the <u>first piece</u> of the function to zero and solve for x:

$\begin{aligned}g(x) & = 0\\\implies x^3-9x & = 0\\x(x^2-9) & = 0\\\\\implies x^2-9 & = 0 \quad \quad \quad \implies x=0\\x^2 & = 9\\\ x & = \pm 3\end{aligned}$

Therefore, as x < 3, the x-intercepts are (-3, 0) and (0, 0) for the first piece.

Set the <u>second piece</u> to zero and solve for x:

$\begin{aligned}\implies g(x) & =0\\-\log_4(x-2)+2 & =0\\\log_4(x-2) & =2\end{aligned}$

$\textsf{Apply log law}: \quad \log_ab=c \iff a^c=b$

$\begin{aligned}\implies 4^2&=x-2\\x & = 16+2\\x & = 18 \end{aligned}$

Therefore, the x-intercept for the second piece is (18, 0).

So the x-intercepts for the piecewise function are (-3, 0), (0, 0) and (18, 0).

From the graph from part A, and the calculated x-intercepts from part B, the function g(x) is positive between the intervals -3 < x < 0 and 3 ≤ x < 18.

Interval notation: (-3, 0) ∪ [3, 18)

Learn more about piecewise functions here:

brainly.com/question/11562909

3 0

2 years ago

$6.53 Round to the nearest dollar

Alinara [238K]

It is $7. Anything average 5 you need to round up

5 0

3 years ago