Number 3 using table is 0.59, 3.41
Graphed on calculator and changed the table set to increments of .1 all the way to .000001 to estimate where the zeros where.
Number 1,2,4,5 are displayed in attachment.
Answer:
1) x=6, y=-6 which is (6,-6) as an ordered pair
3) x=10, y=-1 which is (10,-1) as an ordered pair
Step-by-step explanation:
Question 1:
<u>Solve them like an addition problem:</u>
-4x-2y=-12
4x+8y=-24
________
(-4x+4x)+(-2y+8y)=(-12+-24)
0x+6y=-36
6y=-36
y=-6
<u>Plug value of y into one of the original equations:</u>
4x+8(-6)=-24
4x-48=-24
4x=24
x=6
Question 3:
<u>Solve them like an addition problem:</u>
x-y=11
2x+y=19
_______
(x+2x)+(-y+y)=11+19
3x+0y=30
3x=30
x=10
<u>Plug value of x into one of the original equations:</u>
10-y=11
-y=1
y=-1
Well, if the truck traveled for one hour, that means the car traveled for two.
60+70+70=200
It's not that difficult to just guess and check, even if it's a bit time consuming.
Let's try three hours for the truck.
60+60+60+70+70+70+70=460
That's too much, so we'll try two hours.
60+60+70+70+70=330
The truck traveled two hours, and the car traveled three hours, since the car traveled one hour longer than the truck.
All together, the car and truck drove a total of 5 hours.
Answer:
x = -7
General Formulas and Concepts:
<u>Pre-Algebra</u>
- Order of Operations: BPEMDAS
- Equality Properties
Step-by-step explanation:
<u>Step 1: Define equation</u>
2.5x + 10 = x - 0.5
<u>Step 2: Solve for </u><em><u>x</u></em>
- Subtract <em>x </em>on both sides: 1.5x + 10 = -0.5
- Subtract 10 on both sides: 1.5x = -10.5
- Divide both sides by 1.5: x = -7
<u>Step 3: Check</u>
<em>Plug in x to verify it's a solution.</em>
- Substitute: 2.5(-7) + 10 = -7 - 0.5
- Multiply: -17.5 + 10 = -7 - 0.5
- Add/Subtract: -7.5 = -7.5
And we have our answer!
The answer is (f . g)(x) = - (34k + 17k⁷ + 17k⁵ + 40k³ + 20k² + 60).
Remember that :
<u>(f . g)(x) = f(x) × g(x)</u>
<u />
Hence :
- (f . g)(x) = (2k³ + k² + 3)(-17k⁵ - 20)
- (f . g)(x) = -34k⁸ - 17k⁷ - 17k⁵ - 40k³ - 20k² - 60
- (f . g)(x) = - (34k + 17k⁷ + 17k⁵ + 40k³ + 20k² + 60)