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2 years ago

Find the point of intersection of the lines: y = 4x + 1 and y = – 2x + 4 A. (2 , 9) B. ( 1 2, 3 ) C. (1 , 2) D. ( 1 4, 2)

Mathematics

1 answer:

alekssr [168]2 years ago

3 0

Answer:

B. (1/2, 3)

Step-by-step explanation:

It is perhaps easiest to try the point values in the equations.

A — 4·2+1 = 9; -2·2 +4 ≠9 . . . . not the answer

B — 4·1/2 +1 = 3; -2·(1/2) +4 = 3 . . . . this is the answer

we need go no further since we have the answer

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Dima020 [189]

Answer:

$x=5$

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Step-by-step explanation:

We have been given a parallelogram. We are asked to solve for the values of x and y.

We know that opposite sides of parallelogram are equal, so we can set equation as:

$3x-3=x+7$

$3x-x-3=x-x+7$

$2x-3=7$

$2x-3+3=7+3$

$2x=10$

$\frac{2x}{2}=\frac{10}{2}$

$x=5$

Similarly, we will solve for y.

$2y-6=y+2$

$2y-y-6=y-y+2$

$y-6=2$

$y-6+6=2+6$

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To solve for z, we will subtract y from x as:

$z=x-y\\z=5-8\\z=-3$

Therefore, the value of z is negative 3.

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2 years ago

A country's population in 1993 was 94 million. in 1999 in was 99 million. estimate the population in 2005 using the exponential

Jet001 [13]

The initial population is
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Because P(5) = 99 million (in 1999),
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In the year 2005, t = 12 years, and
$P(12)=94e^{0.010367*12} = 106.45$

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