Answer:
1) Distance=Speed*time
90=(x+1)*(x)+(2x+5)(x-1)
90=x^2+x+2x^2-2x+5x-5
3x^2+4x-95=0
2) 3x^2+4x-95=0. Using quadratic formula, we get
x=(-4±sqrt(16-4*3*(-95)<u>)</u>)/6, x=5 or - 19/5 but since x also represents time, it can't be negative.
3) Total time take she took for the journey is x+x-1=2x-1=2*5-1=9 hours
To get y you can move the x's to one side, so 120y=500-35x
then you can isolate the y, y= 500/120-35x/120
:)
Answer:
<em>The Graph is shown below</em>
Step-by-step explanation:
<u>The Graph of a Function</u>
Given the function:

It's required to plot the graph of g(x). Let's give x some values:
x={-2,0,2,4,6}
And calculate the values of y:

Point (-2,-24)

Point (0,-6)

Point (2,0)

Point (4,-6)

Point (6,-24)
The graph is shown in the image below
Answer:
161cm2
Step-by-step explanation:
Area: 1/2 x base x height
1/2 x 14 x 23=161
Area is measured in cm2
Hope this helps!
Answer:
-17
Step-by-step explanation:
- 5 * (6 + 4) ÷ 2
Following PEMDAS, we must focus on the parenthesis first.
- 5 * (6 + 4) ÷ 2
- 5 * (10) ÷ 2
Now we will focus on the exponent:
- 5 * 10 ÷ 2
8 - 5 * 10 ÷ 2
Now Multiplication/Division.
This is where you must follow the order in the equation where you see the multiplication sign first, so you multiply first.
8 - 5 * 10 ÷ 2
8 - 50 ÷ 2
Next, Divide:
8 - 50 ÷ 2
8 - 25
Subtract:
8 - 25
-17
- 5 * (6 + 4) ÷ 2 = -17.