Answer:
x = ± 4
y = - 2
Step-by-step explanation:
y = 0.5x² - 10 ------------------------(I)
y = -x² + 14 ------------------------(II)
Substitute the y value in equation (II)
0.5x² - 10 = -x² + 14 {Add x² to both sides}
0.5x² + x² -10 = 14 {combine like terms}
1.5x² - 10 = 14 {Add 10 to both sides}
1.5x² = 14 + 10
1.5x² = 24 {Divide both sides by 1.5}
1.5x²/1.5 = 24/1.5
x² = 16
x = ±4
Substitute x = 4 in (I)
y = 0.5 * 4² - 10
= 0.5*16 - 10
= 8- 10
y = -2
Substitute x = -4 in (I)
y = 0.5 * (-4)² - 10
= 0.5*16 - 10
= 8- 10
y = -2
Answer:
D) 19.8 lbs
Explanation:
1kg in household measurement is equal to 35.274 ounces. 35.274*9=317.466 ounces.
1kg is also equal to 2.205 lbs. 9*2.205=19.8416
9 kg is also equal to 9000 grams, but grams are not a part of the household measurement system
a) 9000 grams. b) 9000 ounces. c) 19.8 ounces. d) 19.8 pounds.
This leaves us with 19.8 lbs
Step-by-step explanation:
Let's solve your equation step-by-step.
2(x+2)−3(x−3)=x+7
Step 1: Simplify both sides of the equation.
2(x+2)−3(x−3)=x+7
(2)(x)+(2)(2)+(−3)(x)+(−3)(−3)=x+7(Distribute)
2x+4+−3x+9=x+7
(2x+−3x)+(4+9)=x+7(Combine Like Terms)
−x+13=x+7
−x+13=x+7
Step 2: Subtract x from both sides.
−x+13−x=x+7−x
−2x+13=7
Step 3: Subtract 13 from both sides.
−2x+13−13=7−13
−2x=−6
Step 4: Divide both sides by -2.
−2x
−2
=
−6
−2
x=3
Answer:
x=3
