Answer:
Step-by-step explanation:
We know that when there is an absolute value sign, the value inside the bars is always positive.
- => I3x + 3I = 10
- => 3x + 3 = 10
- => 3x = 10 - 3
- => 3x = 7
- => x = 7/3
- => x = 2.33 (Rounded to nearest hundredth)
Hence, the value of x is 2.33.
Solutions are 3 and - 5.
Step-by-step explanation:
Step 1:
Given equation is 3x² + 6x = 45. Factorize the equation to get the solutions.
⇒ 3x² + 6x - 45 = 0
⇒ x² + 2x - 15 = 0
⇒ x² + 5x - 3x - 15 = 0 (Product and Sum Method where product of coefficients = - 15 and sum = 2)
⇒ x (x + 5) - 3(x + 5) = 0
⇒ (x - 3)(x + 5) = 0
⇒ x = 3, - 5
If the equation is -(2/3) x - (1/4) y = 1/3, it is a straight line, so you can use some special points to identify the graph.
It is easier is you solve the equation for y:
(1/4)y = - 1/3 - (2/3) x
y = (-4/3) - (8/3)x
That is the slope -y-intercept form of the equation.
That means that the slope is -8/3, and the y-intercept is -4/3.
Use this points to identify the graph:
x = 0 => y = - 4/3 ---> (0, - 4/3)
y = 0 => x = - 1/2 -----> (-1/2, 0)
Now you can punt those two points on the graph and draw the line that joins them.
With this procedure you can find the graph of any straight line.
Answer:
5+(-3)-6
= 5+(-9)
= -4
Step-by-step explanation:
Hope it helps..
First you do 200 miles divided by 25 km. It is 8. This means you need 8 gallons for the whole trip. 8 times 6dollars is 48 dollars. You will need to pay 48 dollars in gas prices.