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BARSIC [14]
3 years ago
15

Lois and Clark each ordered 3 posters that each cost x dollers. The postage for 3 posters is $5. Lois wrote an expression for th

e total they both spent as 6x + 10. Clark wrote another expression for the total, saying that it represented the same cost: 2(3x + 5). If each poster costs $25, do the two expressions give the same amount?
A.Yes, Both expressions show the total value to be $160, as the two esspressions are equivalent
B.No, Lois' expression has a value of $160 and Clark's expression has a value of $155
C.No, The expressions are not equivalent, so the values are different
D.Yes, Both expressions show the total value to be $400, as the two expressions are equivalent
Mathematics
1 answer:
konstantin123 [22]3 years ago
7 0
The two equations are equivalent.

The postage for 3 posters is $5.
Lois$ wrote an expression for the total they both spent as 6x + 10 6(25) +10
150 +10 = 160

Clark wrote another expression for the total, saying that it represented the same cost: 2(3x + 5). = 2(3x) + 2(5) 6x + 10 = 6(25) + 10 = 150+10 160

If each poster costs $25, do the two expressions give the same amount?
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Answer:

Option B is correct.

Step-by-step explanation:

The distance formula used is:

d=\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2+(z_{2}-z_{1})^2}

We need to find distance between origin and other point (3,-4,5)

Origin is: (0,0,0)

x₁ = 0, y₁ = 0, z₁ =0 and x₂= 3, y₂= -4 and z₂ = 5

Putting values in the distance formula we get:

d=\sqrt{(3-0)^2+(-4+0)^2+(5-0)^2}\\d=\sqrt{(3)^2+(-4)^2+(5)^2}\\d=\sqrt{9+16+25}\\d=\sqrt{50}\\d=7

The Distance from the origin to the point (3, −4, 5) is 7 units.

Option B is correct.

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3 years ago
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If we know that x = - 10, then we evaluated it at the function:

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Choice E:

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