Answer:
14x + 5
Step-by-step explanation:
group all the varaibles with x
2x - 5x + 8x + 3x^2
-3x + 8x + 9x
5x + 9x
=14x
now the regular numbers
3 + 2
=5
now put them together to get
14x + 5
1) gradient of line = Δ y ÷ Δ x
= (5 -2) ÷ (3 - (-6))
= ¹/₃
using the point-slope form (y-y₁) = m(x-x₁)
using (3,5)
(y - 5) = ¹/₃ (x -3)
y - 5 = ¹/₃x - 1
⇒ <span> y = ¹/₃ x + 4 [OPTION D]
</span>2) y = 2x + 5 .... (1)
<span> </span>y = ¹/₂ x + 6 .... (2)
by substituting y in (1) for y in (2)
2x + 5 = ¹/₂ x + 6
³/₂ x = 1
x = ²/₃
by substituting found x (2)
y = ¹/₂ (²/₃) + 6
y = ¹⁹/₃
∴ common point is (²/₃ , ¹⁹/₃) thus answer is FALSE [OPTION B]
3) Yes [OPTION A]
This is because the both have a gradient of 5 and if they have the same gradient then that means that the two lines are parallel to each other.
4) No [OPTION B]
Two lines are perpendicular if their gradients multiply to give - 1 and as such one is the negative reciprocal of the other. Since both gradients are ¹/₂ then they are actually parallel and not perpendicular.
Answer:
As per the given statement: €1 = £0.72Find how much is €410 in £.then;€410 = = £295.2Hence, £295.2 much is €410.to find, the exchange rate of £ to €:€1 = £0.72Divide both sides by 0.72 we get;£1 = €1.38
Answer:
384 cm
Step-by-step explanation:
7.5 x 24 = 180
8.5 + 7.5 = 16
16 x 24 = 384
Answer:
The price after the discount but before the tax is $21
Step-by-step explanation:
Here, we are told there is a price off of 40% on an item that costs $35.
What we want to calculate is the value of what the price would be before the tax
We proceed by finding 40% of $35
Mathematically, that would be;
40/100 * 35 = $14
The price of the item before the tax is thus;
35-14 = $21
